Pith Number

pith:MHEKIRQB

pith:2015:MHEKIRQBTTINNDBXXBBQ5BMVJY

not attested not anchored not stored refs pending

Set-theoretic solutions of the Yang-Baxter equation, Braces, and Symmetric groups

Tatiana Gateva-Ivanova

arxiv:1507.02602 v4 · 2015-07-09 · math.QA · math-ph · math.GR · math.MP · 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{MHEKIRQBTTINNDBXXBBQ5BMVJY}

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	2026-05-18T00:53:40.553652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61c8a446019cd0d68c37b8430e85954e16b84278eff2078124e1f872fc9dc7b6

Aliases

arxiv: 1507.02602 · arxiv_version: 1507.02602v4 · doi: 10.48550/arxiv.1507.02602 · pith_short_12: MHEKIRQBTTIN · pith_short_16: MHEKIRQBTTINNDBX · pith_short_8: MHEKIRQB

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/MHEKIRQBTTINNDBXXBBQ5BMVJY \
  | 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: 61c8a446019cd0d68c37b8430e85954e16b84278eff2078124e1f872fc9dc7b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f74f8d1b0af2fdfb93e5601ccdc3544af10f5b9dcf37bb87017fce3e55be84f",
    "cross_cats_sorted": [
      "math-ph",
      "math.GR",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-07-09T17:11:41Z",
    "title_canon_sha256": "e4cc176d9e38b43a36c6a3bd1effbcb4e14027956ee1cf2d64eb497367d49bcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02602",
    "kind": "arxiv",
    "version": 4
  }
}