Pith Number

pith:PBEZGOJV

pith:2004:PBEZGOJVEBQLZKYCOUAOXFWO36

not attested not anchored not stored refs pending

The Kauffman bracket and the Bollobas-Riordan polynomial of ribbon graphs

Igor Pak, Sergei Chmutov

arxiv:math/0404475 v2 · 2004-04-27 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PBEZGOJVEBQLZKYCOUAOXFWO36}

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	2026-05-18T01:05:26.412324Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78499339352060bcab027500eb96cedf9a8293a4007343a3eb09c80a998f39ca

Aliases

arxiv: math/0404475 · arxiv_version: math/0404475v2 · doi: 10.48550/arxiv.math/0404475 · pith_short_12: PBEZGOJVEBQL · pith_short_16: PBEZGOJVEBQLZKYC · pith_short_8: PBEZGOJV

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/PBEZGOJVEBQLZKYCOUAOXFWO36 \
  | 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: 78499339352060bcab027500eb96cedf9a8293a4007343a3eb09c80a998f39ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "040faeba27990889d4bd2cfbaaa141f840da2899a86d126698a823bd866bfd16",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-04-27T01:36:17Z",
    "title_canon_sha256": "0a97191b44b8e792885505072c39b24555e765b77e936837fe2d63a2209be652"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0404475",
    "kind": "arxiv",
    "version": 2
  }
}