Pith Number

pith:J27KJZXP

pith:2007:J27KJZXPJOQAHDJT2PET3QBRWS

not attested not anchored not stored refs pending

A most general edge elimination graph polynomial

Benny Godlin, Ilia Averbouch, Johann A. Makowsky

arxiv:0712.3112 v1 · 2007-12-19 · 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{J27KJZXPJOQAHDJT2PET3QBRWS}

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	2026-05-18T03:13:58.692790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ebea4e6ef4ba0038d33d3c93dc031b49dc65e482aa3d0f4c9e79d6a2d0f779e

Aliases

arxiv: 0712.3112 · arxiv_version: 0712.3112v1 · doi: 10.48550/arxiv.0712.3112 · pith_short_12: J27KJZXPJOQA · pith_short_16: J27KJZXPJOQAHDJT · pith_short_8: J27KJZXP

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/J27KJZXPJOQAHDJT2PET3QBRWS \
  | 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: 4ebea4e6ef4ba0038d33d3c93dc031b49dc65e482aa3d0f4c9e79d6a2d0f779e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c09b6bf339f0c90912af126ada2f6bba83d08930837197a9bc37b53c1ea666ad",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2007-12-19T08:04:26Z",
    "title_canon_sha256": "eef3423102496b4f45ba186c0416a2005dce633c5cfb2dd37bf35afa140d26f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3112",
    "kind": "arxiv",
    "version": 1
  }
}