id
stringlengths 14
14
| type
stringclasses 1
value | prompt
dict | response
stringclasses 15
values | meta
dict | fact_sources
listlengths 1
3
| artifacts
dict |
|---|---|---|---|---|---|---|
TRMFACT_001501
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "According to RFC 8259, what are the only three literal names allowed in JSON values?"
}
]
}
|
false, null, true (all lowercase).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "json_literals",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"json_literals"
],
"verification": "primary_spec:RFC8259",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001502
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even). (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001503
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "State the Euclidean algorithm recursion for gcd(a,b) and its base case. Then give one practical implication in 1 sentence."
}
]
}
|
gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|. Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001504
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: What recurrence form does the Master Theorem analyze for divide-and-conquer algorithms? A: (answer). Keep it under 15 words."
}
]
}
|
T(n)=a·T(n/b)+f(n) (with a≥1, b>1).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "master_form",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"master_form"
],
"verification": "mit_ocw_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "MIT OCW 6.046J Lecture 3: Divide and Conquer (recurrence form)",
"ref": "turn2search10"
},
{
"title": "MIT OCW 6.006 Recitation 3 (Master Theorem mention)",
"ref": "turn2search0"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001505
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "State the Euclidean algorithm recursion for gcd(a,b) and its base case. Then give one practical implication in 1 sentence."
}
]
}
|
gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|. Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001506
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In TCP, what is the standard three-message handshake to establish a connection? Then give one practical implication in 1 sentence."
}
]
}
|
SYN → SYN-ACK → ACK. Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_handshake",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"tcp_handshake"
],
"verification": "primary_spec:RFC793 + vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 793 - Transmission Control Protocol",
"ref": "turn2search3"
},
{
"title": "Microsoft: The three-way handshake via TCP/IP",
"ref": "turn2search1"
},
{
"title": "MDN: TCP handshake glossary",
"ref": "turn2search11"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001507
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even). (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001508
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: At least 8 characters. (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "nist_password_min",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"nist_password_min"
],
"verification": "nist_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001509
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: T(n)=a·T(n/b)+f(n) (with a≥1, b>1). (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "master_form",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"master_form"
],
"verification": "mit_ocw_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "MIT OCW 6.046J Lecture 3: Divide and Conquer (recurrence form)",
"ref": "turn2search10"
},
{
"title": "MIT OCW 6.006 Recitation 3 (Master Theorem mention)",
"ref": "turn2search0"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001510
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: According to RFC 8259, what are the only three literal names allowed in JSON values? A: (answer). Keep it under 15 words."
}
]
}
|
false, null, true (all lowercase).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "json_literals",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"json_literals"
],
"verification": "primary_spec:RFC8259",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001511
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In a typical TCP session, what comes after the three-way handshake and how does the session typically end (high level)?"
}
]
}
|
After the handshake, data transfer occurs; sessions typically end with a connection termination sequence (often described as a four-way closure).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_lifecycle",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"tcp_lifecycle"
],
"verification": "vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Microsoft: TCP/IP connectivity issues troubleshooting (session phases)",
"ref": "turn2search17"
},
{
"title": "MDN: TCP handshake glossary (mentions four-way closure)",
"ref": "turn2search11"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001512
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In TCP, what is the standard three-message handshake to establish a connection? Then give one practical implication in 1 sentence."
}
]
}
|
SYN → SYN-ACK → ACK. Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_handshake",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"tcp_handshake"
],
"verification": "primary_spec:RFC793 + vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 793 - Transmission Control Protocol",
"ref": "turn2search3"
},
{
"title": "Microsoft: The three-way handshake via TCP/IP",
"ref": "turn2search1"
},
{
"title": "MDN: TCP handshake glossary",
"ref": "turn2search11"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001513
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: What does IEEE 754 'round to nearest, ties to even' mean? A: (answer). Keep it under 15 words."
}
]
}
|
Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001514
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: State the Euclidean algorithm recursion for gcd(a,b) and its base case. A: (answer). Keep it under 15 words."
}
]
}
|
gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001515
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: In a typical TCP session, what comes after the three-way handshake and how does the session typically end (high level)? A: (answer). Keep it under 15 words."
}
]
}
|
After the handshake, data transfer occurs; sessions typically end with a connection termination sequence (often described as a four-way closure).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_lifecycle",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"tcp_lifecycle"
],
"verification": "vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Microsoft: TCP/IP connectivity issues troubleshooting (session phases)",
"ref": "turn2search17"
},
{
"title": "MDN: TCP handshake glossary (mentions four-way closure)",
"ref": "turn2search11"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001516
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "What does IEEE 754 'round to nearest, ties to even' mean?"
}
]
}
|
Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001517
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In NIST SP 800-63B (memorized secrets), what is the minimum length for a subscriber-chosen password?"
}
]
}
|
At least 8 characters.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "nist_password_min",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"nist_password_min"
],
"verification": "nist_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001518
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "What recurrence form does the Master Theorem analyze for divide-and-conquer algorithms? Then give one practical implication in 1 sentence."
}
]
}
|
T(n)=a·T(n/b)+f(n) (with a≥1, b>1). Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "master_form",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"master_form"
],
"verification": "mit_ocw_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "MIT OCW 6.046J Lecture 3: Divide and Conquer (recurrence form)",
"ref": "turn2search10"
},
{
"title": "MIT OCW 6.006 Recitation 3 (Master Theorem mention)",
"ref": "turn2search0"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001519
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In a typical TCP session, what comes after the three-way handshake and how does the session typically end (high level)?"
}
]
}
|
After the handshake, data transfer occurs; sessions typically end with a connection termination sequence (often described as a four-way closure).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_lifecycle",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"tcp_lifecycle"
],
"verification": "vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Microsoft: TCP/IP connectivity issues troubleshooting (session phases)",
"ref": "turn2search17"
},
{
"title": "MDN: TCP handshake glossary (mentions four-way closure)",
"ref": "turn2search11"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001520
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: What does IEEE 754 'round to nearest, ties to even' mean? A: (answer). Keep it under 15 words."
}
]
}
|
Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001521
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: false, null, true (all lowercase). (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "json_literals",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"json_literals"
],
"verification": "primary_spec:RFC8259",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001522
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: In a typical TCP session, what comes after the three-way handshake and how does the session typically end (high level)? A: (answer). Keep it under 15 words."
}
]
}
|
After the handshake, data transfer occurs; sessions typically end with a connection termination sequence (often described as a four-way closure).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_lifecycle",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"tcp_lifecycle"
],
"verification": "vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Microsoft: TCP/IP connectivity issues troubleshooting (session phases)",
"ref": "turn2search17"
},
{
"title": "MDN: TCP handshake glossary (mentions four-way closure)",
"ref": "turn2search11"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001523
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "State the Euclidean algorithm recursion for gcd(a,b) and its base case. Then give one practical implication in 1 sentence."
}
]
}
|
gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|. Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001524
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In NIST SP 800-63B (memorized secrets), what is the minimum length for a subscriber-chosen password? Then give one practical implication in 1 sentence."
}
]
}
|
At least 8 characters. Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "nist_password_min",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"nist_password_min"
],
"verification": "nist_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001525
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: What does IEEE 754 'round to nearest, ties to even' mean? A: (answer). Keep it under 15 words."
}
]
}
|
Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001526
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "State the Euclidean algorithm recursion for gcd(a,b) and its base case. Then give one practical implication in 1 sentence."
}
]
}
|
gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|. Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001527
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "According to RFC 8259, what are the only three literal names allowed in JSON values?"
}
]
}
|
false, null, true (all lowercase).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "json_literals",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"json_literals"
],
"verification": "primary_spec:RFC8259",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001528
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "State the Euclidean algorithm recursion for gcd(a,b) and its base case."
}
]
}
|
gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001529
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: SYN → SYN-ACK → ACK. (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_handshake",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"tcp_handshake"
],
"verification": "primary_spec:RFC793 + vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 793 - Transmission Control Protocol",
"ref": "turn2search3"
},
{
"title": "Microsoft: The three-way handshake via TCP/IP",
"ref": "turn2search1"
},
{
"title": "MDN: TCP handshake glossary",
"ref": "turn2search11"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001530
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In TCP, what is the standard three-message handshake to establish a connection?"
}
]
}
|
SYN → SYN-ACK → ACK.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_handshake",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"tcp_handshake"
],
"verification": "primary_spec:RFC793 + vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 793 - Transmission Control Protocol",
"ref": "turn2search3"
},
{
"title": "Microsoft: The three-way handshake via TCP/IP",
"ref": "turn2search1"
},
{
"title": "MDN: TCP handshake glossary",
"ref": "turn2search11"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001531
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In TCP, what is the standard three-message handshake to establish a connection? Then give one practical implication in 1 sentence."
}
]
}
|
SYN → SYN-ACK → ACK. Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_handshake",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"tcp_handshake"
],
"verification": "primary_spec:RFC793 + vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 793 - Transmission Control Protocol",
"ref": "turn2search3"
},
{
"title": "Microsoft: The three-way handshake via TCP/IP",
"ref": "turn2search1"
},
{
"title": "MDN: TCP handshake glossary",
"ref": "turn2search11"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001532
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In TCP, what is the standard three-message handshake to establish a connection?"
}
]
}
|
SYN → SYN-ACK → ACK.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_handshake",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"tcp_handshake"
],
"verification": "primary_spec:RFC793 + vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 793 - Transmission Control Protocol",
"ref": "turn2search3"
},
{
"title": "Microsoft: The three-way handshake via TCP/IP",
"ref": "turn2search1"
},
{
"title": "MDN: TCP handshake glossary",
"ref": "turn2search11"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001533
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: In TCP, what is the standard three-message handshake to establish a connection? A: (answer). Keep it under 15 words."
}
]
}
|
SYN → SYN-ACK → ACK.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_handshake",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"tcp_handshake"
],
"verification": "primary_spec:RFC793 + vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 793 - Transmission Control Protocol",
"ref": "turn2search3"
},
{
"title": "Microsoft: The three-way handshake via TCP/IP",
"ref": "turn2search1"
},
{
"title": "MDN: TCP handshake glossary",
"ref": "turn2search11"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001534
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "What does IEEE 754 'round to nearest, ties to even' mean?"
}
]
}
|
Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001535
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "State the Euclidean algorithm recursion for gcd(a,b) and its base case. Then give one practical implication in 1 sentence."
}
]
}
|
gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|. Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001536
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: SYN → SYN-ACK → ACK. (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_handshake",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"tcp_handshake"
],
"verification": "primary_spec:RFC793 + vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 793 - Transmission Control Protocol",
"ref": "turn2search3"
},
{
"title": "Microsoft: The three-way handshake via TCP/IP",
"ref": "turn2search1"
},
{
"title": "MDN: TCP handshake glossary",
"ref": "turn2search11"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001537
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even). (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001538
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In TCP, what is the standard three-message handshake to establish a connection?"
}
]
}
|
SYN → SYN-ACK → ACK.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_handshake",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"tcp_handshake"
],
"verification": "primary_spec:RFC793 + vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 793 - Transmission Control Protocol",
"ref": "turn2search3"
},
{
"title": "Microsoft: The three-way handshake via TCP/IP",
"ref": "turn2search1"
},
{
"title": "MDN: TCP handshake glossary",
"ref": "turn2search11"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001539
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even). (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001540
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "According to RFC 8259, what are the only three literal names allowed in JSON values? Then give one practical implication in 1 sentence."
}
]
}
|
false, null, true (all lowercase). Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "json_literals",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"json_literals"
],
"verification": "primary_spec:RFC8259",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001541
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "What does IEEE 754 'round to nearest, ties to even' mean? Then give one practical implication in 1 sentence."
}
]
}
|
Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even). Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001542
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "What recurrence form does the Master Theorem analyze for divide-and-conquer algorithms? Then give one practical implication in 1 sentence."
}
]
}
|
T(n)=a·T(n/b)+f(n) (with a≥1, b>1). Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "master_form",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"master_form"
],
"verification": "mit_ocw_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "MIT OCW 6.046J Lecture 3: Divide and Conquer (recurrence form)",
"ref": "turn2search10"
},
{
"title": "MIT OCW 6.006 Recitation 3 (Master Theorem mention)",
"ref": "turn2search0"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001543
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "According to RFC 8259, what are the only three literal names allowed in JSON values?"
}
]
}
|
false, null, true (all lowercase).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "json_literals",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"json_literals"
],
"verification": "primary_spec:RFC8259",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001544
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: State the Euclidean algorithm recursion for gcd(a,b) and its base case. A: (answer). Keep it under 15 words."
}
]
}
|
gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001545
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "State the Euclidean algorithm recursion for gcd(a,b) and its base case."
}
]
}
|
gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001546
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even). (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001547
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: T(n)=a·T(n/b)+f(n) (with a≥1, b>1). (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "master_form",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"master_form"
],
"verification": "mit_ocw_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "MIT OCW 6.046J Lecture 3: Divide and Conquer (recurrence form)",
"ref": "turn2search10"
},
{
"title": "MIT OCW 6.006 Recitation 3 (Master Theorem mention)",
"ref": "turn2search0"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001548
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: In TCP, what is the standard three-message handshake to establish a connection? A: (answer). Keep it under 15 words."
}
]
}
|
SYN → SYN-ACK → ACK.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_handshake",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"tcp_handshake"
],
"verification": "primary_spec:RFC793 + vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 793 - Transmission Control Protocol",
"ref": "turn2search3"
},
{
"title": "Microsoft: The three-way handshake via TCP/IP",
"ref": "turn2search1"
},
{
"title": "MDN: TCP handshake glossary",
"ref": "turn2search11"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001549
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In NIST SP 800-63B (memorized secrets), what is the minimum length for a subscriber-chosen password? Then give one practical implication in 1 sentence."
}
]
}
|
At least 8 characters. Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "nist_password_min",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"nist_password_min"
],
"verification": "nist_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001550
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In TCP, what is the standard three-message handshake to establish a connection?"
}
]
}
|
SYN → SYN-ACK → ACK.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_handshake",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"tcp_handshake"
],
"verification": "primary_spec:RFC793 + vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 793 - Transmission Control Protocol",
"ref": "turn2search3"
},
{
"title": "Microsoft: The three-way handshake via TCP/IP",
"ref": "turn2search1"
},
{
"title": "MDN: TCP handshake glossary",
"ref": "turn2search11"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001551
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In TCP, what is the standard three-message handshake to establish a connection? Then give one practical implication in 1 sentence."
}
]
}
|
SYN → SYN-ACK → ACK. Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_handshake",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"tcp_handshake"
],
"verification": "primary_spec:RFC793 + vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 793 - Transmission Control Protocol",
"ref": "turn2search3"
},
{
"title": "Microsoft: The three-way handshake via TCP/IP",
"ref": "turn2search1"
},
{
"title": "MDN: TCP handshake glossary",
"ref": "turn2search11"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001552
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "What does IEEE 754 'round to nearest, ties to even' mean? Then give one practical implication in 1 sentence."
}
]
}
|
Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even). Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001553
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: At least 8 characters. (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "nist_password_min",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"nist_password_min"
],
"verification": "nist_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001554
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "What recurrence form does the Master Theorem analyze for divide-and-conquer algorithms? Then give one practical implication in 1 sentence."
}
]
}
|
T(n)=a·T(n/b)+f(n) (with a≥1, b>1). Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "master_form",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"master_form"
],
"verification": "mit_ocw_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "MIT OCW 6.046J Lecture 3: Divide and Conquer (recurrence form)",
"ref": "turn2search10"
},
{
"title": "MIT OCW 6.006 Recitation 3 (Master Theorem mention)",
"ref": "turn2search0"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001555
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: T(n)=a·T(n/b)+f(n) (with a≥1, b>1). (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "master_form",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"master_form"
],
"verification": "mit_ocw_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "MIT OCW 6.046J Lecture 3: Divide and Conquer (recurrence form)",
"ref": "turn2search10"
},
{
"title": "MIT OCW 6.006 Recitation 3 (Master Theorem mention)",
"ref": "turn2search0"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001556
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In NIST SP 800-63B (memorized secrets), what is the minimum length for a subscriber-chosen password?"
}
]
}
|
At least 8 characters.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "nist_password_min",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"nist_password_min"
],
"verification": "nist_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001557
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: In a typical TCP session, what comes after the three-way handshake and how does the session typically end (high level)? A: (answer). Keep it under 15 words."
}
]
}
|
After the handshake, data transfer occurs; sessions typically end with a connection termination sequence (often described as a four-way closure).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_lifecycle",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"tcp_lifecycle"
],
"verification": "vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Microsoft: TCP/IP connectivity issues troubleshooting (session phases)",
"ref": "turn2search17"
},
{
"title": "MDN: TCP handshake glossary (mentions four-way closure)",
"ref": "turn2search11"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001558
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "What recurrence form does the Master Theorem analyze for divide-and-conquer algorithms?"
}
]
}
|
T(n)=a·T(n/b)+f(n) (with a≥1, b>1).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "master_form",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"master_form"
],
"verification": "mit_ocw_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "MIT OCW 6.046J Lecture 3: Divide and Conquer (recurrence form)",
"ref": "turn2search10"
},
{
"title": "MIT OCW 6.006 Recitation 3 (Master Theorem mention)",
"ref": "turn2search0"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001559
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: At least 8 characters. (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "nist_password_min",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"nist_password_min"
],
"verification": "nist_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001560
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In a typical TCP session, what comes after the three-way handshake and how does the session typically end (high level)? Then give one practical implication in 1 sentence."
}
]
}
|
After the handshake, data transfer occurs; sessions typically end with a connection termination sequence (often described as a four-way closure). Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_lifecycle",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"tcp_lifecycle"
],
"verification": "vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Microsoft: TCP/IP connectivity issues troubleshooting (session phases)",
"ref": "turn2search17"
},
{
"title": "MDN: TCP handshake glossary (mentions four-way closure)",
"ref": "turn2search11"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001561
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "What does IEEE 754 'round to nearest, ties to even' mean? Then give one practical implication in 1 sentence."
}
]
}
|
Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even). Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001562
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|. (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001563
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "State the Euclidean algorithm recursion for gcd(a,b) and its base case."
}
]
}
|
gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001564
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: In TCP, what is the standard three-message handshake to establish a connection? A: (answer). Keep it under 15 words."
}
]
}
|
SYN → SYN-ACK → ACK.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_handshake",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"tcp_handshake"
],
"verification": "primary_spec:RFC793 + vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 793 - Transmission Control Protocol",
"ref": "turn2search3"
},
{
"title": "Microsoft: The three-way handshake via TCP/IP",
"ref": "turn2search1"
},
{
"title": "MDN: TCP handshake glossary",
"ref": "turn2search11"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001565
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: At least 8 characters. (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "nist_password_min",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"nist_password_min"
],
"verification": "nist_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001566
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "What does IEEE 754 'round to nearest, ties to even' mean? Then give one practical implication in 1 sentence."
}
]
}
|
Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even). Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001567
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: According to RFC 8259, what are the only three literal names allowed in JSON values? A: (answer). Keep it under 15 words."
}
]
}
|
false, null, true (all lowercase).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "json_literals",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"json_literals"
],
"verification": "primary_spec:RFC8259",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001568
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In TCP, what is the standard three-message handshake to establish a connection?"
}
]
}
|
SYN → SYN-ACK → ACK.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_handshake",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"tcp_handshake"
],
"verification": "primary_spec:RFC793 + vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 793 - Transmission Control Protocol",
"ref": "turn2search3"
},
{
"title": "Microsoft: The three-way handshake via TCP/IP",
"ref": "turn2search1"
},
{
"title": "MDN: TCP handshake glossary",
"ref": "turn2search11"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001569
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: After the handshake, data transfer occurs; sessions typically end with a connection termination sequence (often described as a four-way closure). (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_lifecycle",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"tcp_lifecycle"
],
"verification": "vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Microsoft: TCP/IP connectivity issues troubleshooting (session phases)",
"ref": "turn2search17"
},
{
"title": "MDN: TCP handshake glossary (mentions four-way closure)",
"ref": "turn2search11"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001570
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: What does IEEE 754 'round to nearest, ties to even' mean? A: (answer). Keep it under 15 words."
}
]
}
|
Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001571
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|. (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001572
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In a typical TCP session, what comes after the three-way handshake and how does the session typically end (high level)? Then give one practical implication in 1 sentence."
}
]
}
|
After the handshake, data transfer occurs; sessions typically end with a connection termination sequence (often described as a four-way closure). Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_lifecycle",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"tcp_lifecycle"
],
"verification": "vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Microsoft: TCP/IP connectivity issues troubleshooting (session phases)",
"ref": "turn2search17"
},
{
"title": "MDN: TCP handshake glossary (mentions four-way closure)",
"ref": "turn2search11"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001573
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "State the Euclidean algorithm recursion for gcd(a,b) and its base case. Then give one practical implication in 1 sentence."
}
]
}
|
gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|. Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001574
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "According to RFC 8259, what are the only three literal names allowed in JSON values?"
}
]
}
|
false, null, true (all lowercase).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "json_literals",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"json_literals"
],
"verification": "primary_spec:RFC8259",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001575
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "According to RFC 8259, what are the only three literal names allowed in JSON values?"
}
]
}
|
false, null, true (all lowercase).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "json_literals",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"json_literals"
],
"verification": "primary_spec:RFC8259",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001576
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "What does IEEE 754 'round to nearest, ties to even' mean?"
}
]
}
|
Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001577
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "What does IEEE 754 'round to nearest, ties to even' mean? Then give one practical implication in 1 sentence."
}
]
}
|
Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even). Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001578
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "State the Euclidean algorithm recursion for gcd(a,b) and its base case."
}
]
}
|
gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001579
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: What does IEEE 754 'round to nearest, ties to even' mean? A: (answer). Keep it under 15 words."
}
]
}
|
Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001580
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "State the Euclidean algorithm recursion for gcd(a,b) and its base case. Then give one practical implication in 1 sentence."
}
]
}
|
gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|. Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001581
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: SYN → SYN-ACK → ACK. (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_handshake",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"tcp_handshake"
],
"verification": "primary_spec:RFC793 + vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 793 - Transmission Control Protocol",
"ref": "turn2search3"
},
{
"title": "Microsoft: The three-way handshake via TCP/IP",
"ref": "turn2search1"
},
{
"title": "MDN: TCP handshake glossary",
"ref": "turn2search11"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001582
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: false, null, true (all lowercase). (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "json_literals",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"json_literals"
],
"verification": "primary_spec:RFC8259",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001583
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: State the Euclidean algorithm recursion for gcd(a,b) and its base case. A: (answer). Keep it under 15 words."
}
]
}
|
gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001584
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: In a typical TCP session, what comes after the three-way handshake and how does the session typically end (high level)? A: (answer). Keep it under 15 words."
}
]
}
|
After the handshake, data transfer occurs; sessions typically end with a connection termination sequence (often described as a four-way closure).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_lifecycle",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"tcp_lifecycle"
],
"verification": "vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Microsoft: TCP/IP connectivity issues troubleshooting (session phases)",
"ref": "turn2search17"
},
{
"title": "MDN: TCP handshake glossary (mentions four-way closure)",
"ref": "turn2search11"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001585
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "State the Euclidean algorithm recursion for gcd(a,b) and its base case."
}
]
}
|
gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001586
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "What recurrence form does the Master Theorem analyze for divide-and-conquer algorithms?"
}
]
}
|
T(n)=a·T(n/b)+f(n) (with a≥1, b>1).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "master_form",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"master_form"
],
"verification": "mit_ocw_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "MIT OCW 6.046J Lecture 3: Divide and Conquer (recurrence form)",
"ref": "turn2search10"
},
{
"title": "MIT OCW 6.006 Recitation 3 (Master Theorem mention)",
"ref": "turn2search0"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001587
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "According to RFC 8259, what are the only three literal names allowed in JSON values? Then give one practical implication in 1 sentence."
}
]
}
|
false, null, true (all lowercase). Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "json_literals",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"json_literals"
],
"verification": "primary_spec:RFC8259",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001588
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "What recurrence form does the Master Theorem analyze for divide-and-conquer algorithms?"
}
]
}
|
T(n)=a·T(n/b)+f(n) (with a≥1, b>1).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "master_form",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"master_form"
],
"verification": "mit_ocw_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "MIT OCW 6.046J Lecture 3: Divide and Conquer (recurrence form)",
"ref": "turn2search10"
},
{
"title": "MIT OCW 6.006 Recitation 3 (Master Theorem mention)",
"ref": "turn2search0"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001589
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In a typical TCP session, what comes after the three-way handshake and how does the session typically end (high level)? Then give one practical implication in 1 sentence."
}
]
}
|
After the handshake, data transfer occurs; sessions typically end with a connection termination sequence (often described as a four-way closure). Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_lifecycle",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"tcp_lifecycle"
],
"verification": "vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Microsoft: TCP/IP connectivity issues troubleshooting (session phases)",
"ref": "turn2search17"
},
{
"title": "MDN: TCP handshake glossary (mentions four-way closure)",
"ref": "turn2search11"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001590
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "Q: What does IEEE 754 'round to nearest, ties to even' mean? A: (answer). Keep it under 15 words."
}
]
}
|
Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"micro_refresher",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "micro_refresher",
"mode": "compress"
}
|
TRMFACT_001591
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In TCP, what is the standard three-message handshake to establish a connection?"
}
]
}
|
SYN → SYN-ACK → ACK.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_handshake",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"tcp_handshake"
],
"verification": "primary_spec:RFC793 + vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 793 - Transmission Control Protocol",
"ref": "turn2search3"
},
{
"title": "Microsoft: The three-way handshake via TCP/IP",
"ref": "turn2search1"
},
{
"title": "MDN: TCP handshake glossary",
"ref": "turn2search11"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001592
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "What does IEEE 754 'round to nearest, ties to even' mean? Then give one practical implication in 1 sentence."
}
]
}
|
Round to the nearest representable value; if exactly halfway, choose the one with an even least-significant digit (ties-to-even). Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "ieee_rounding",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"ieee_rounding"
],
"verification": "standard_summary + vendor_doc",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "IEEE 754 overview (rounding rules)",
"ref": "turn0search1"
},
{
"title": "Intel documentation: IEEE 754 default rounding mode (RoundTiesToEven)",
"ref": "turn0search9"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001593
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In a typical TCP session, what comes after the three-way handshake and how does the session typically end (high level)?"
}
]
}
|
After the handshake, data transfer occurs; sessions typically end with a connection termination sequence (often described as a four-way closure).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_lifecycle",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"tcp_lifecycle"
],
"verification": "vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Microsoft: TCP/IP connectivity issues troubleshooting (session phases)",
"ref": "turn2search17"
},
{
"title": "MDN: TCP handshake glossary (mentions four-way closure)",
"ref": "turn2search11"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001594
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In a typical TCP session, what comes after the three-way handshake and how does the session typically end (high level)? Then give one practical implication in 1 sentence."
}
]
}
|
After the handshake, data transfer occurs; sessions typically end with a connection termination sequence (often described as a four-way closure). Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "tcp_lifecycle",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"tcp_lifecycle"
],
"verification": "vendor_doc + glossary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Microsoft: TCP/IP connectivity issues troubleshooting (session phases)",
"ref": "turn2search17"
},
{
"title": "MDN: TCP handshake glossary (mentions four-way closure)",
"ref": "turn2search11"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001595
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: false, null, true (all lowercase). (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "json_literals",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"json_literals"
],
"verification": "primary_spec:RFC8259",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001596
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|. (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
TRMFACT_001597
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "In NIST SP 800-63B (memorized secrets), what is the minimum length for a subscriber-chosen password? Then give one practical implication in 1 sentence."
}
]
}
|
At least 8 characters. Implication: Use this rule to avoid protocol/format/security mistakes in implementations.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "nist_password_min",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"apply_fact",
"nist_password_min"
],
"verification": "nist_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] |
{
"wrapper": "apply_fact",
"mode": "apply"
}
|
TRMFACT_001598
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "What recurrence form does the Master Theorem analyze for divide-and-conquer algorithms?"
}
]
}
|
T(n)=a·T(n/b)+f(n) (with a≥1, b>1).
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "master_form",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"master_form"
],
"verification": "mit_ocw_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "MIT OCW 6.046J Lecture 3: Divide and Conquer (recurrence form)",
"ref": "turn2search10"
},
{
"title": "MIT OCW 6.006 Recitation 3 (Master Theorem mention)",
"ref": "turn2search0"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001599
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "State the Euclidean algorithm recursion for gcd(a,b) and its base case."
}
]
}
|
gcd(a,b)=gcd(b, a mod b); base case gcd(a,0)=|a|.
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "euclid_recurrence",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"direct_fact",
"euclid_recurrence"
],
"verification": "educational + reference",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] |
{
"wrapper": "direct_fact",
"mode": "direct"
}
|
TRMFACT_001600
|
trm_realworld_fact_qa
|
{
"messages": [
{
"role": "system",
"content": "You are a Tiny Recursive Model (TRM). Answer with factual Q&A only. Be concise and correct."
},
{
"role": "user",
"content": "True/False: T(n)=a·T(n/b)+f(n) (with a≥1, b>1). (Answer True/False only.)"
}
]
}
|
True
|
{
"developer_brand": "Within Us AI",
"domain": "tiny_recursive_models",
"subdomain": "master_form",
"difficulty": "archon",
"tags": [
"trm",
"tiny-model",
"facts",
"real-world",
"verify_true_false",
"master_form"
],
"verification": "mit_ocw_primary",
"safety": "allowed",
"license": "apache-2.0",
"source": "WithinUsAI/TRM_Genesis_RealWorld_40k",
"format_version": "1.1",
"retrieved_at_utc": "2026-01-03T20:44:38"
}
|
[
{
"title": "MIT OCW 6.046J Lecture 3: Divide and Conquer (recurrence form)",
"ref": "turn2search10"
},
{
"title": "MIT OCW 6.006 Recitation 3 (Master Theorem mention)",
"ref": "turn2search0"
}
] |
{
"wrapper": "verify_true_false",
"mode": "tf"
}
|
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