| --- |
| license: mit |
| language: |
| - en |
| pretty_name: Numeric Conformance Packs (Trinity S3AI / t27) |
| size_categories: |
| - n<1K |
| task_categories: |
| - other |
| task_ids: |
| - other |
| multilinguality: |
| - monolingual |
| annotations_creators: |
| - expert-generated |
| language_creators: |
| - machine-generated |
| source_datasets: |
| - extended|playra/numeric-format-catalog |
| tags: |
| - numeric-formats |
| - conformance |
| - bit-exact |
| - goldenfloat |
| - phi-identity |
| - gf16 |
| - floating-point |
| - numerical-conformance |
| - formal-verification |
| - audit-disclosed |
| - trinity-s3ai |
| - t27 |
| - audio-codecs-numerics |
| - bench-vectors |
| paper: |
| - arxiv: 2606.09686 |
| - arxiv: 2606.05017 |
| configs: |
| - config_name: gf4 |
| data_files: [{ split: vectors, path: gf4.jsonl }] |
| - config_name: gf8 |
| data_files: [{ split: vectors, path: gf8.jsonl }] |
| - config_name: gf12 |
| data_files: [{ split: vectors, path: gf12.jsonl }] |
| - config_name: gf16 |
| data_files: [{ split: vectors, path: gf16.jsonl }] |
| - config_name: gf20 |
| data_files: [{ split: vectors, path: gf20.jsonl }] |
| - config_name: gf24 |
| data_files: [{ split: vectors, path: gf24.jsonl }] |
| - config_name: gf32 |
| data_files: [{ split: vectors, path: gf32.jsonl }] |
| - config_name: goldenfloat_family |
| data_files: [{ split: vectors, path: goldenfloat_family.jsonl }] |
| - config_name: phi_identity |
| data_files: [{ split: vectors, path: phi_identity.jsonl }] |
| - config_name: phi_ratio |
| data_files: [{ split: vectors, path: phi_ratio.jsonl }] |
| --- |
| |
| # Numeric Conformance Packs (Trinity S3AI / t27) |
|
|
| **Version:** v2.0 (2026-06-10). |
| **License:** MIT. |
| **Maintainer:** Trinity S3AI -- `admin@t27.ai` -- ORCID [0009-0008-4294-6159](https://orcid.org/0009-0008-4294-6159). |
| **Mirror of:** `gHashTag/t27` `conformance/` and `specs/numeric/` subtrees. |
| **Companion dataset:** [`playra/numeric-format-catalog`](https://huggingface.co/datasets/playra/numeric-format-catalog) (the 80-format ruler this pack instantiates). |
| **Linked papers:** |
| - **Anchor preprint (GoldenFloat identity):** [arXiv:2606.05017](https://arxiv.org/abs/2606.05017) |
| - **Catalog preprint (84-format ruler):** [arXiv:2606.09686](https://arxiv.org/abs/2606.09686) -- [HF paper page](https://huggingface.co/papers/2606.09686) |
|
|
| ## TL;DR |
|
|
| Bit-exact conformance vectors for the GoldenFloat (GF) family of phi-structured floating-point formats, plus two reference packs (`phi_identity`, `phi_ratio`) that exercise the canonical `phi^2 + phi^-2 = 3` identity. The packs let any third-party kernel implementer check binary-level conformance with `abs_error` instead of "looks close in plots". |
|
|
| ## Quick start |
|
|
| ```python |
| from datasets import load_dataset |
| |
| # Pull a single pack |
| gf16 = load_dataset("playra/numeric-conformance-packs", "gf16", split="vectors") |
| print(gf16.column_names) |
| |
| # Verify round-trip on one vector |
| sample = gf16[0] |
| hex_bits = sample["bits_hex"] |
| expected = sample["f32_value"] |
| # Your decoder under test: |
| recovered = your_gf16_decoder(int(hex_bits, 16)) |
| abs_error = abs(recovered - expected) |
| assert abs_error <= sample["tolerance"], f"GF16 conformance violated: {abs_error}" |
| ``` |
|
|
| The full call-and-response contract is documented per pack in `manifest.json`. |
|
|
| ## Pack inventory |
|
|
| | Config | File | Lines | SHA-256 (8) | Purpose | |
| |---|---|---|---|---| |
| | `gf4` | `gf4.jsonl` | 1 | `dd264387` | GF4 reference vectors | |
| | `gf8` | `gf8.jsonl` | 1 | `44e27c75` | GF8 reference vectors | |
| | `gf12` | `gf12.jsonl` | 1 | `682e824d` | GF12 reference vectors | |
| | `gf16` | `gf16.jsonl` | 1 | `a7935733` | GF16 reference vectors (frozen silicon) | |
| | `gf20` | `gf20.jsonl` | 34 | `8bec16f1` | GF20 reference vectors | |
| | `gf24` | `gf24.jsonl` | 34 | `546019d0` | GF24 reference vectors | |
| | `gf32` | `gf32.jsonl` | 37 | `0dbb3a9c` | GF32 reference vectors | |
| | `goldenfloat_family`| `goldenfloat_family.jsonl` | 25 | `a6660f43` | Family-level invariants and cross-checks | |
| | `phi_identity` | `phi_identity.jsonl` | 3 | `88563e4e` | `phi^2 + phi^-2 = 3` reference points | |
| | `phi_ratio` | `phi_ratio.jsonl` | 1 | `90a183f4` | Canonical phi as f64 with hex tolerance | |
|
|
| Full SHA-256 manifest: [`SHA256SUMS.txt`](SHA256SUMS.txt). Machine-readable schema and per-pack manifest: [`manifest.json`](manifest.json). |
|
|
| ## Provenance |
|
|
| This dataset is a **mirror**, not a primary source. The primary source of truth is the t27 repository: |
|
|
| - Specs: `gHashTag/t27` -> `specs/numeric/` (`.t27` SSOT files) |
| - Conformance generators: `gHashTag/t27` -> `conformance/` + `tools/gen_*.py` |
| - Frozen silicon anchor: GF16 is validated end-to-end against the TTGF26a / GF180MCU tape-out (35/35 vectors at 323 MHz, see [arXiv:2606.09686](https://arxiv.org/abs/2606.09686) Section 6). |
|
|
| Every JSONL row carries: |
| - `format_name`, `format_bits`, `format_spec` -- canonical identity |
| - `bit_layout` / `format_spec` -- exact field widths |
| - `seal` -- SHA-256 of the row payload for tamper-evidence |
| - `formal_proof` (where applicable) -- Coq lemma name in `coq/Kernel/*` |
|
|
| ## How this fits the wider ruler |
|
|
| These packs sit at **Tier 1** of a three-tier numeric-format corpus: |
|
|
| - **Tier 0** SSOT: `specs/numeric/formats_catalog.t27` (machine-checked, 83 rows live) |
| - **Tier 1** Portable JSON packs (this dataset) |
| - **Tier 2** Silicon-validated ROM: `tt-trinity-corona` 80-format ROM + 19 RTL decoders + 5-layer dossier (TTGF26a / GF180MCU tape-out) |
|
|
| The companion dataset [`playra/numeric-format-catalog`](https://huggingface.co/datasets/playra/numeric-format-catalog) carries the full 80-format catalog with cluster, bit-width, and phi-distance metadata. |
|
|
| ## Considerations for using the data |
|
|
| ### Recommended uses |
|
|
| - Verifying a third-party GF or phi-arithmetic kernel against a fixed reference |
| - Cross-checking custom GoldenFloat decoders during silicon bring-up |
| - Teaching: bit-exact rounding behaviour for non-IEEE phi-structured formats |
| - Audit and reproducibility studies of phi-structured arithmetic |
|
|
| ### Out of scope |
|
|
| - **IEEE P3109 OFP8** -- cross-walk is documented in `p3109_crosswalk.json` (mapping only) but not a primary distribution here |
| - **NF4 / NF8 (NormalFloat)** -- adjacent quantisation formats, not covered |
| - **MXFP4 / MXFP6** -- OCP mixed-precision wrappers, see arXiv:2606.09686 Section 4 for the cross-walk |
| - **Posit / Takum / LNS** -- alternative number systems are catalogued in [`playra/numeric-format-catalog`](https://huggingface.co/datasets/playra/numeric-format-catalog) but no conformance pack here |
| - **Mixed-precision GEMM** -- this is a per-format conformance dataset, not an end-to-end kernel benchmark |
|
|
| ### Known limitations |
|
|
| - **Pack size is uneven by design.** Several packs ship 1 row (anchor); others ship 34-37 rows (sweep). The number of rows reflects how the format is tested in the kernel, not its importance. |
| - **`abs_error` only.** PCC, FID, and other distributional metrics are explicitly out of scope; this is a pointwise conformance dataset. |
| - **GF dominance.** Reflects the maintainer's research focus. For SOTA AI quantisation formats (NF4, MXFP4, posit), this dataset is not a substitute for OCP or open-compute reference implementations. |
| - **Single-language schema.** All vectors and manifest are English-only. No localisation. |
| - **No social-bias dimension.** Numeric format conformance is not a fairness-sensitive task; if you're using these vectors as part of a downstream model evaluation, fairness considerations live at the model level, not here. |
| |
| ### Known biases |
| |
| - **Equal weight per cluster.** The pack distribution mirrors the maintainer's research priorities; it is not a representative sample of the AI accelerator format population. |
| - **Phi-structured emphasis.** All formats with the `goldenfloat` tag are designed around the closed-form rule `e = round((N-1)/phi^2)`. This is by construction, not a discovered property. |
| |
| ## Citation |
| |
| ```bibtex |
| @misc{vasilev2026numericrulercatalog, |
| title = {Eighty Formats and a Ruler: A Comprehensive Numeric Format Catalog |
| for Phi-Structured and IEEE Floating-Point Arithmetic}, |
| author = {Vasilev, Daniil and {Trinity S3AI}}, |
| year = {2026}, |
| eprint = {2606.09686}, |
| archivePrefix = {arXiv}, |
| primaryClass = {cs.AR}, |
| url = {https://arxiv.org/abs/2606.09686} |
| } |
| |
| @misc{vasilev2026goldenfloatidentity, |
| title = {GoldenFloat: A Phi-Structured Floating-Point Family with Closed-Form |
| Field Widths from the Identity Phi^2 + Phi^-2 = 3}, |
| author = {Vasilev, Daniil and {Trinity S3AI}}, |
| year = {2026}, |
| eprint = {2606.05017}, |
| archivePrefix = {arXiv}, |
| primaryClass = {cs.AR}, |
| url = {https://arxiv.org/abs/2606.05017} |
| } |
| |
| @misc{trinitys3ai2026numericpacks, |
| title = {Numeric Conformance Packs}, |
| author = {{Trinity S3AI}}, |
| year = {2026}, |
| publisher = {Hugging Face}, |
| url = {https://huggingface.co/datasets/playra/numeric-conformance-packs} |
| } |
| ``` |
| |
| ## Maintenance and changelog |
| |
| | Date | Version | Change | |
| |---|---|---| |
| | 2026-04-07 | v1.0 | Initial 10-pack release | |
| | 2026-06-10 | v2.0 | Updated with audit-disclosed schema, SHA-256 manifest, anchor preprints | |
| | 2026-06-13 | v2.1 | Added catalog preprint cross-link (arXiv:2606.09686), README upgrade per FAIR / Datasheets / Data Cards | |
| |
| **Update cadence.** No fixed cadence. New packs are added when (a) a new GF rung is verified, or (b) a new conformance contract is requested via [`gHashTag/t27` issues](https://github.com/gHashTag/t27/issues). Existing rows are immutable; if a format spec changes, the row is replaced and the SHA-256 manifest tracks the diff. |
| |
| **Contact.** `admin@t27.ai` -- async-only, ASCII-only. |
| |
| ## Machine-readable metadata |
| |
| - **Croissant JSON-LD:** [`croissant.json`](croissant.json) at repo root (MLCommons spec 1.0) |
| - **YAML metadata:** at the top of this file, machine-parseable per HF Hub spec |
| - **SHA-256 manifest:** [`SHA256SUMS.txt`](SHA256SUMS.txt) |
| - **P3109 cross-walk (read-only mapping):** [`p3109_crosswalk.json`](p3109_crosswalk.json) |
| |
| ## Identity stack |
| |
| - **Maintainer:** Vasilev Daniil (Trinity S3AI) |
| - **Email:** admin@t27.ai (sole canonical contact) |
| - **ORCID:** 0009-0008-4294-6159 |
| - **GitHub:** gHashTag |
| - **HF org:** trinity-s3ai |
| - **Anchor identity:** `phi^2 + 1/phi^2 = 3` |
| |
