Pith Number

pith:PNTBRMF5

pith:2013:PNTBRMF5YLZY2GBLZ2346LFVI4

not attested not anchored not stored refs pending

Clifford's Theorem for graphs

Marc Coppens

arxiv:1304.6101 v1 · 2013-04-22 · math.AG · 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{PNTBRMF5YLZY2GBLZ2346LFVI4}

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	2026-05-18T03:27:22.393396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b6618b0bdc2f38d182bceb7cf2cb5470c65780ddb088fe19a741c552f576f73

Aliases

arxiv: 1304.6101 · arxiv_version: 1304.6101v1 · doi: 10.48550/arxiv.1304.6101 · pith_short_12: PNTBRMF5YLZY · pith_short_16: PNTBRMF5YLZY2GBL · pith_short_8: PNTBRMF5

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/PNTBRMF5YLZY2GBLZ2346LFVI4 \
  | 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: 7b6618b0bdc2f38d182bceb7cf2cb5470c65780ddb088fe19a741c552f576f73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14194ea324bfd81ed6864a9cc127d7b67ebf83c2f6a72587659ad069e553c923",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-04-22T20:36:47Z",
    "title_canon_sha256": "bb362f743979d5a54b4c3856612c20aa61965c34ec9026b9b39ac480fe2de3bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6101",
    "kind": "arxiv",
    "version": 1
  }
}