Pith Number

pith:VFYWQVMJ

pith:2000:VFYWQVMJU5AAAUALMZKCVMGB7J

not attested not anchored not stored refs pending

Minimum multiplicities of subgraphs and Hamiltonian systems

John Sheehan

arxiv:math/0012258 v1 · 2000-12-28 · 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{VFYWQVMJU5AAAUALMZKCVMGB7J}

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	2026-07-04T14:35:00.149922Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a971685589a74000500b66542ab0c1fa5226b9aea1cc0493e1eb73543c03edac

Aliases

arxiv: math/0012258 · arxiv_version: math/0012258v1 · doi: 10.48550/arxiv.math/0012258 · pith_short_12: VFYWQVMJU5AA · pith_short_16: VFYWQVMJU5AAAUAL · pith_short_8: VFYWQVMJ

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/VFYWQVMJU5AAAUALMZKCVMGB7J \
  | 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: a971685589a74000500b66542ab0c1fa5226b9aea1cc0493e1eb73543c03edac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40e4c7ed1c7c287ed2d3377a4f43e39c83a9d0559f50be1150187b12056f1c69",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2000-12-28T18:57:30Z",
    "title_canon_sha256": "cefa2a338638d243f075773f8850f0c70a43e6ceacd3466d63d77557a3cb1393"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0012258",
    "kind": "arxiv",
    "version": 1
  }
}