Pith Number

pith:DZXB72UG

pith:2015:DZXB72UGIYTKRNKNKXHPRF3NUN

not attested not anchored not stored refs pending

On partition functions for 3-graphs

Alexander Schrijver, Bart Sevenster, Guus Regts

arxiv:1503.00337 v2 · 2015-03-01 · math.QA · math.CO · 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{DZXB72UGIYTKRNKNKXHPRF3NUN}

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	2026-05-18T01:10:15.280196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e6e1fea864626a8b54d55cef8976da34ab07af02044e47acb28d26d8ad852bf

Aliases

arxiv: 1503.00337 · arxiv_version: 1503.00337v2 · doi: 10.48550/arxiv.1503.00337 · pith_short_12: DZXB72UGIYTK · pith_short_16: DZXB72UGIYTKRNKN · pith_short_8: DZXB72UG

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/DZXB72UGIYTKRNKNKXHPRF3NUN \
  | 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: 1e6e1fea864626a8b54d55cef8976da34ab07af02044e47acb28d26d8ad852bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33fd35fd8b3cd0f4012bdab9ef3fe5b740038418f72a7025aa8021d571785f6f",
    "cross_cats_sorted": [
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-03-01T19:18:50Z",
    "title_canon_sha256": "0947668da14e6f9a02992a6aef50cac91de8e4a7808ba2717fa36a5f29454fe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.00337",
    "kind": "arxiv",
    "version": 2
  }
}