Catalog schemas
The two JSONL files have separate Hugging Face configurations. Each line is one JSON object. Every field is a UTF-8 string, including details_json, which contains canonical serialized JSON. This keeps heterogeneous mathematical records faithful without forcing incompatible matrix and field encodings into a shared table schema.
certificates.jsonl
| Field | Meaning |
|---|---|
id |
Stable release-local record identifier, e.g. C001. |
suite |
Generic control, short returns, extension fields, or worked examples. |
kind |
Case, suite summary, scope counterexample, or other certificate category. |
claim |
Concise description of what the cited finite record checks. |
source_path |
Original JSON file, relative to the repository root. |
source_pointer |
RFC 6901 JSON pointer; empty string selects the whole source object. |
arithmetic |
Exact arithmetic used by the cited record. |
status |
Recorded or derived execution status; not a priority or peer-review status. |
details_json |
The exact selected source value, serialized as JSON. |
Suite summaries include their constituent cases. Catalog rows must not be added together as independent experimental trials. In particular, the 300 transport comparisons and 6,104 replayed strokes are suite-level counts, not the number of JSONL rows.
theorems.jsonl
| Field | Meaning |
|---|---|
id |
T1 through T5, matching the paper's theorem numbering. |
title |
The theorem's identifying name. |
statement |
Compact statement with the principal quantitative conclusion. |
assumptions |
Essential field, rank, and palette hypotheses. |
scope |
Interpretation and limits, including one-spare and field distinctions. |
proof_path |
Repository path of the full paper source. |
proof_section |
Human-readable section containing the proof. |
status |
Proof/internal-audit status, explicitly separate from worldwide novelty. |
The theorem index is editorial metadata, not a formal proof-assistant library. The complete arguments remain in the paper. The certificates are finite exact computations, not a replacement for those arguments.
Regeneration
From the repository root:
python tools/build_catalog.py
The builder reads only the frozen repro/ records and writes the two catalogs deterministically. Updating any repository file also requires regenerating MANIFEST.sha256 before using the uploader.