Pith Number

pith:L54OODTG

pith:2004:L54OODTG2RWEYS4AKMMJAZB3YH

not attested not anchored not stored refs pending

A combinatorial approach to the set-theoretic solutions of the Yang-Baxter equation

Tatiana Gateva-Ivanova

arxiv:math/0404461 v1 · 2004-04-26 · math.QA · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L54OODTG2RWEYS4AKMMJAZB3YH}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:38:28.393114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f78e70e66d46c4c4b80531890643bc1c824f4bb4a244bc396ea09002ed05fbd

Aliases

arxiv: math/0404461 · arxiv_version: math/0404461v1 · doi: 10.48550/arxiv.math/0404461 · pith_short_12: L54OODTG2RWE · pith_short_16: L54OODTG2RWEYS4A · pith_short_8: L54OODTG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/L54OODTG2RWEYS4AKMMJAZB3YH \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5f78e70e66d46c4c4b80531890643bc1c824f4bb4a244bc396ea09002ed05fbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6769a5af33bf2569f21fe91969d48a41af2496c5d11c1ed251773617acb89500",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2004-04-26T14:52:47Z",
    "title_canon_sha256": "f906ad2bcc4df1b5f41d64c149c224b3843051bf335a0ea85b5dbc9629ecb2a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404461",
    "kind": "arxiv",
    "version": 1
  }
}