Pith Number

pith:5AVU75GT

pith:2012:5AVU75GTM7GEL5Z5ZDVIEVYCC5

not attested not anchored not stored refs pending

The crossing number of the generalized Petersen graph P(10, 3) is six

Baigong Zheng, Xirong Xu, Yuansheng Yang

arxiv:1211.4438 v1 · 2012-11-19 · cs.DM · 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{5AVU75GTM7GEL5Z5ZDVIEVYCC5}

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	2026-05-18T03:40:26.922686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e82b4ff4d367cc45f73dc8ea82570217691974175936c9b69d058a2f9bd2a431

Aliases

arxiv: 1211.4438 · arxiv_version: 1211.4438v1 · doi: 10.48550/arxiv.1211.4438 · pith_short_12: 5AVU75GTM7GE · pith_short_16: 5AVU75GTM7GEL5Z5 · pith_short_8: 5AVU75GT

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/5AVU75GTM7GEL5Z5ZDVIEVYCC5 \
  | 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: e82b4ff4d367cc45f73dc8ea82570217691974175936c9b69d058a2f9bd2a431

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea6d2803d1036c35ffc236d8baa4741dccb35b596095e6168b4f2b3e770760cd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2012-11-19T14:37:11Z",
    "title_canon_sha256": "bba219e008d9ee91bf9b4fc1be246405b5f9e8e3862fabee651c374a7b4cf6db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4438",
    "kind": "arxiv",
    "version": 1
  }
}