Pith Number

pith:J6NFDJK5

pith:2006:J6NFDJK5S5RI6PPQRVMUTHVPFK

not attested not anchored not stored refs pending

Wheeled PROPs, graph complexes and the master equation

M. Markl, S. Merkulov, S. Shadrin

arxiv:math/0610683 v3 · 2006-10-23 · math.AG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J6NFDJK5S5RI6PPQRVMUTHVPFK}

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	2026-05-18T04:39:59.926396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f9a51a55d97628f3df08d59499eaf2aa96b0094b1b0a04480311a12aba6b647

Aliases

arxiv: math/0610683 · arxiv_version: math/0610683v3 · doi: 10.48550/arxiv.math/0610683 · pith_short_12: J6NFDJK5S5RI · pith_short_16: J6NFDJK5S5RI6PPQ · pith_short_8: J6NFDJK5

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/J6NFDJK5S5RI6PPQRVMUTHVPFK \
  | 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: 4f9a51a55d97628f3df08d59499eaf2aa96b0094b1b0a04480311a12aba6b647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cac5d17ea042031c9bf375fcf99b4be30385497adfbe077e855d5baeacff104a",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-10-23T14:36:18Z",
    "title_canon_sha256": "de295b4c3e2878278c084f0447a180b042b7b868fc5d63b43b2e2ad206856531"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0610683",
    "kind": "arxiv",
    "version": 3
  }
}