| --- |
| license: cc-by-4.0 |
| language: |
| - en |
| tags: |
| - numeric-formats |
| - floating-point |
| - conformance |
| - audit-disclosed |
| size_categories: |
| - n<1K |
| --- |
| |
| # numeric-format-catalog v2 (audit-disclosed) |
|
|
| **Version:** v2.0 (2026-06-10) -- supersedes v1 (count=77, withdrawn). |
|
|
| **Count:** 81 formats across 13 clusters. |
|
|
| ## Honest count-drift disclosure |
|
|
| This dataset is shipped with a known count-drift across four artefacts: |
|
|
| | Source | Count | Status | |
| |---|---|---| |
| | `arXiv:2606.09686` Table 1 (paper #3) | 84 | aspirational, MXFP6 split + standalone E8M0 | |
| | `specs/numeric/formats_catalog.t27` SSOT raw `// CATALOG:` lines | 83 | live ground truth | |
| | **THIS DATASET (codegen LIVE re-run)** | **81** | parser drops `gf512` + `gf1024` on bias-formula int() cast | |
| | `gen/numeric/formats_catalog.json` (committed in repo) | 77 | stale, pre-#1051 snapshot | |
| | v1 of this dataset (uploaded 2026-06-10 AM) | 77 | inherited stale gen | |
|
|
| **Why 81 and not 83 or 84:** the codegen `tools/gen_formats_catalog.py` cannot evaluate bias formulas of the form `2^N-1`, which are the canonical bias values for `gf512` and `gf1024`. Those two rows are silently dropped. We ship what the codegen actually produces, not a cherry-picked number. Patch tracked in [t27#1064](https://github.com/gHashTag/t27/issues/1064). |
|
|
| **Why ship 81 today instead of waiting for the patch:** because v1 shipped 77 yesterday. Replacing a stale 77 with an honest 81 + full audit is closer to the truth than leaving 77 up while the patch lands. |
|
|
| ## What's in the dataset |
|
|
| - 81 row entries, each carrying: `id`, `name`, `bits`, `s` (sign bits), `e` (exponent bits), `m` (mantissa bits), `bias`, `phi_distance`, `storage`, `cluster`, `status`, `standard`, `use_case`, `source` |
| - 13 cluster groupings: IEEE754 binary, IEEE754 decimal, MLLowPrecision, GoldenFloat, Posit/Unum III, OCP MX, LNS, IntegerFixed, HistoricalVendor, Theoretical, Compression, Extended, QuantTuned |
| - Source SSOT: [`gHashTag/t27` `specs/numeric/formats_catalog.t27`](https://github.com/gHashTag/t27/blob/master/specs/numeric/formats_catalog.t27) HEAD `6ecad30` |
| - Regen output SHA-256: `546ba6fff1daec0b64483f599778ab63a9410405592c2e9dbc9d90dbb63bc48a` |
|
|
| ## Known gaps vs paper #3 (arXiv:2606.09686) |
|
|
| | Cluster | Paper says | This dataset | Delta | |
| |---|---|---|---| |
| | GoldenFloat | 16 | 16 | 0 (both pre-#1051; current SSOT has 22, of which gen lifts 20) | |
| | OCP MX | 5 | 3 | -2 (no MXFP6 E2M3/E3M2 split; no standalone E8M0 block) | |
| | MLLowPrecision | 8 | 7 | -1 (NF4 placement) | |
| | Total | 84 | 81 | -3 | |
|
|
| ## Reconciliation |
|
|
| - **t27#1064** -- tracking issue, five-step plan: parser patch -> regen -> CI invariant -> HF re-upload v3 -> arXiv erratum if needed |
| - Expected v3 ship count after parser patch: 83 |
| - Expected v4 ship count after MXFP6/E8M0 reconciliation with paper: 84 (or paper erratum to whatever codegen produces) |
|
|
| ## Citation |
|
|
| If you use this dataset, please cite the paper it accompanies: |
|
|
| ```bibtex |
| @misc{vasilev2026numeric, |
| title={An 84-Format Numeric Catalog with Bit-Exact Conformance Vectors}, |
| author={Vasilev, Dmitrii}, |
| year={2026}, |
| eprint={2606.09686}, |
| archivePrefix={arXiv}, |
| primaryClass={cs.MS} |
| } |
| ``` |
|
|
| Note: paper claims 84; this dataset ships 81 due to the parser bug. See "Honest count-drift disclosure" above. |
|
|
| ## Provenance |
|
|
| - Uploader: `playra` (Dmitrii Vasilev, ORCID `0009-0008-4294-6159`) |
| - Affiliation: **Trinity S3AI** |
| - Repo: [`gHashTag/t27`](https://github.com/gHashTag/t27) |
| - License: CC BY 4.0 |
| - Generated: 2026-06-10 +07 from HEAD `6ecad30` |
|
|
