Pith Number

pith:AVMG6MAE

pith:2008:AVMG6MAEIAKJN2DCMKZGVFE7YC

not attested not anchored not stored refs pending

Link invariants, the chromatic polynomial and the Potts model

Paul Fendley, Vyacheslav Krushkal

arxiv:0806.3484 v3 · 2008-06-20 · math.CO · cond-mat.stat-mech · math.GT · math.QA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AVMG6MAEIAKJN2DCMKZGVFE7YC}

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	2026-05-18T04:41:04.024579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05586f3004401496e86262b26a949fc081d4d832bcc22be41076ea3776c79992

Aliases

arxiv: 0806.3484 · arxiv_version: 0806.3484v3 · doi: 10.48550/arxiv.0806.3484 · pith_short_12: AVMG6MAEIAKJ · pith_short_16: AVMG6MAEIAKJN2DC · pith_short_8: AVMG6MAE

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/AVMG6MAEIAKJN2DCMKZGVFE7YC \
  | 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: 05586f3004401496e86262b26a949fc081d4d832bcc22be41076ea3776c79992

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "269b1c8a97f1ed1a4a08edd3c65eb1fb379ab514affa1505a5ab870ad83b2318",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.GT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-06-20T22:32:35Z",
    "title_canon_sha256": "b889f75a97f2e49c58d79e444338c1aaa49b49759c32a61814f878290d611105"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.3484",
    "kind": "arxiv",
    "version": 3
  }
}