Pith Number

pith:WMXRRYSD

pith:2011:WMXRRYSDSYOTT7VPJRUD3KNF5M

not attested not anchored not stored refs pending

The Petersen graph is the smallest 3-cop-win graph

Aaron Maurer, Andrew Beveridge, John McCauley, Paolo Codenotti, Silviya Valeva

arxiv:1110.0768 v2 · 2011-10-04 · 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{WMXRRYSDSYOTT7VPJRUD3KNF5M}

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	2026-05-18T03:58:51.211255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b32f18e243961d39feaf4c683da9a5eb2af6db83636770c27139d4969149d2d0

Aliases

arxiv: 1110.0768 · arxiv_version: 1110.0768v2 · doi: 10.48550/arxiv.1110.0768 · pith_short_12: WMXRRYSDSYOT · pith_short_16: WMXRRYSDSYOTT7VP · pith_short_8: WMXRRYSD

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/WMXRRYSDSYOTT7VPJRUD3KNF5M \
  | 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: b32f18e243961d39feaf4c683da9a5eb2af6db83636770c27139d4969149d2d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9fb76d0e8891009cbc1158ff726825fef9c1339e17e2aa891fedc368441287b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-04T17:53:29Z",
    "title_canon_sha256": "5d2c3154aa23075f201d11e5be20d6b20cd5def107f1ca3c7457d217dbe492e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0768",
    "kind": "arxiv",
    "version": 2
  }
}