Pith Number

pith:JLJI3MN3

pith:2011:JLJI3MN37JO2JMQLDTZK6ZRJ3G

not attested not anchored not stored refs pending

Exact Potts/Tutte Polynomials for Polygon Chain Graphs

Robert Shrock

arxiv:1101.3247 v1 · 2011-01-17 · cond-mat.stat-mech · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JLJI3MN37JO2JMQLDTZK6ZRJ3G}

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	2026-05-18T04:26:56.249690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ad28db1bbfa5da4b20b1cf2af6629d99db4d72e9b3e551376e99c751f4edb8d

Aliases

arxiv: 1101.3247 · arxiv_version: 1101.3247v1 · doi: 10.48550/arxiv.1101.3247 · pith_short_12: JLJI3MN37JO2 · pith_short_16: JLJI3MN37JO2JMQL · pith_short_8: JLJI3MN3

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/JLJI3MN37JO2JMQLDTZK6ZRJ3G \
  | 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: 4ad28db1bbfa5da4b20b1cf2af6629d99db4d72e9b3e551376e99c751f4edb8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1653f3c121af6b5542bc4327f08f9f695086716aa3e1e764f544fddc26d5a8c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-01-17T15:47:48Z",
    "title_canon_sha256": "ce9f6be4ce31c176ff1b600170a8c93aa2fd8959df2693029b18692094d7da7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3247",
    "kind": "arxiv",
    "version": 1
  }
}