id stringlengths 14 14 | type stringclasses 1 value | prompt dict | response stringclasses 15 values | meta dict | fact_sources listlengths 1 3 | artifacts dict |
|---|---|---|---|---|---|---|
TRMFACT_003501 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003502 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] | {
"wrapper": "apply_fact",
"mode": "apply"
} |
TRMFACT_003503 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003504 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] | {
"wrapper": "apply_fact",
"mode": "apply"
} |
TRMFACT_003505 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003506 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003507 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "apply_fact",
"mode": "apply"
} |
TRMFACT_003508 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003509 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003510 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003511 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "apply_fact",
"mode": "apply"
} |
TRMFACT_003512 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "direct_fact",
"mode": "direct"
} |
TRMFACT_003513 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003514 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003515 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] | {
"wrapper": "apply_fact",
"mode": "apply"
} |
TRMFACT_003516 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003517 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003518 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "apply_fact",
"mode": "apply"
} |
TRMFACT_003519 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "direct_fact",
"mode": "direct"
} |
TRMFACT_003520 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "apply_fact",
"mode": "apply"
} |
TRMFACT_003521 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003522 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003523 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003524 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] | {
"wrapper": "direct_fact",
"mode": "direct"
} |
TRMFACT_003525 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003526 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003527 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003528 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003529 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] | {
"wrapper": "verify_true_false",
"mode": "tf"
} |
TRMFACT_003530 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003531 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "micro_refresher",
"mode": "compress"
} |
TRMFACT_003532 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003533 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003534 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "direct_fact",
"mode": "direct"
} |
TRMFACT_003535 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003536 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003537 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] | {
"wrapper": "apply_fact",
"mode": "apply"
} |
TRMFACT_003538 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "apply_fact",
"mode": "apply"
} |
TRMFACT_003539 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003540 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003541 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003542 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "verify_true_false",
"mode": "tf"
} |
TRMFACT_003543 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003544 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "micro_refresher",
"mode": "compress"
} |
TRMFACT_003545 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] | {
"wrapper": "apply_fact",
"mode": "apply"
} |
TRMFACT_003546 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "apply_fact",
"mode": "apply"
} |
TRMFACT_003547 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] | {
"wrapper": "micro_refresher",
"mode": "compress"
} |
TRMFACT_003548 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003549 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003550 | 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 NIST SP 800-63B (memorized secrets), what is the minimum length for a subscriber-chosen password? A: (answer). Keep it under 15 words."
}
]
} | 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",
"micro_refresher",
"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": "2026-01-03T20:44:39"
} | [
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] | {
"wrapper": "micro_refresher",
"mode": "compress"
} |
TRMFACT_003551 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003552 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003553 | 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 NIST SP 800-63B (memorized secrets), what is the minimum length for a subscriber-chosen password? A: (answer). Keep it under 15 words."
}
]
} | 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",
"micro_refresher",
"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": "2026-01-03T20:44:39"
} | [
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] | {
"wrapper": "micro_refresher",
"mode": "compress"
} |
TRMFACT_003554 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003555 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "verify_true_false",
"mode": "tf"
} |
TRMFACT_003556 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] | {
"wrapper": "verify_true_false",
"mode": "tf"
} |
TRMFACT_003557 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] | {
"wrapper": "apply_fact",
"mode": "apply"
} |
TRMFACT_003558 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003559 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "apply_fact",
"mode": "apply"
} |
TRMFACT_003560 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003561 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003562 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] | {
"wrapper": "apply_fact",
"mode": "apply"
} |
TRMFACT_003563 | 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 NIST SP 800-63B (memorized secrets), what is the minimum length for a subscriber-chosen password? A: (answer). Keep it under 15 words."
}
]
} | 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",
"micro_refresher",
"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": "2026-01-03T20:44:39"
} | [
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] | {
"wrapper": "micro_refresher",
"mode": "compress"
} |
TRMFACT_003564 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "verify_true_false",
"mode": "tf"
} |
TRMFACT_003565 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "apply_fact",
"mode": "apply"
} |
TRMFACT_003566 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003567 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "apply_fact",
"mode": "apply"
} |
TRMFACT_003568 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "direct_fact",
"mode": "direct"
} |
TRMFACT_003569 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] | {
"wrapper": "verify_true_false",
"mode": "tf"
} |
TRMFACT_003570 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003571 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003572 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003573 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] | {
"wrapper": "direct_fact",
"mode": "direct"
} |
TRMFACT_003574 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "micro_refresher",
"mode": "compress"
} |
TRMFACT_003575 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003576 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] | {
"wrapper": "apply_fact",
"mode": "apply"
} |
TRMFACT_003577 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] | {
"wrapper": "verify_true_false",
"mode": "tf"
} |
TRMFACT_003578 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003579 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003580 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003581 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003582 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] | {
"wrapper": "direct_fact",
"mode": "direct"
} |
TRMFACT_003583 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003584 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003585 | 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 NIST SP 800-63B (memorized secrets), what is the minimum length for a subscriber-chosen password? A: (answer). Keep it under 15 words."
}
]
} | 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",
"micro_refresher",
"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": "2026-01-03T20:44:39"
} | [
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] | {
"wrapper": "micro_refresher",
"mode": "compress"
} |
TRMFACT_003586 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003587 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "micro_refresher",
"mode": "compress"
} |
TRMFACT_003588 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] | {
"wrapper": "verify_true_false",
"mode": "tf"
} |
TRMFACT_003589 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003590 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003591 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003592 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] | {
"wrapper": "apply_fact",
"mode": "apply"
} |
TRMFACT_003593 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] | {
"wrapper": "direct_fact",
"mode": "direct"
} |
TRMFACT_003594 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "RFC 8259 - The JavaScript Object Notation (JSON) Data Interchange Format",
"ref": "turn0search3"
}
] | {
"wrapper": "verify_true_false",
"mode": "tf"
} |
TRMFACT_003595 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] | {
"wrapper": "verify_true_false",
"mode": "tf"
} |
TRMFACT_003596 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "Khan Academy: The Euclidean Algorithm",
"ref": "turn2search2"
},
{
"title": "Wikipedia: Euclidean algorithm (implementation section)",
"ref": "turn1search3"
}
] | {
"wrapper": "micro_refresher",
"mode": "compress"
} |
TRMFACT_003597 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003598 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003599 | 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": "2026-01-03T20:44:39"
} | [
{
"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_003600 | 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": "2026-01-03T20:44:39"
} | [
{
"title": "NIST SP 800-63B (web)",
"ref": "turn0search2"
},
{
"title": "NIST SP 800-63B PDF",
"ref": "turn0search10"
}
] | {
"wrapper": "direct_fact",
"mode": "direct"
} |
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