Pith Number

pith:ALFRSK2H

pith:2009:ALFRSK2HOGMVYJUPENAWNUDFND

not attested not anchored not stored refs pending

Some Exact Results on the Potts Model Partition Function in a Magnetic Field

Robert Shrock, Shu-Chiuan Chang

arxiv:0907.0777 v2 · 2009-07-04 · cond-mat.stat-mech · 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{ALFRSK2HOGMVYJUPENAWNUDFND}

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	2026-05-18T02:13:05.291693Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02cb192b4771995c268f234166d06568ef5bf95b9b97f50410edd5faad0377ee

Aliases

arxiv: 0907.0777 · arxiv_version: 0907.0777v2 · doi: 10.48550/arxiv.0907.0777 · pith_short_12: ALFRSK2HOGMV · pith_short_16: ALFRSK2HOGMVYJUP · pith_short_8: ALFRSK2H

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/ALFRSK2HOGMVYJUPENAWNUDFND \
  | 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: 02cb192b4771995c268f234166d06568ef5bf95b9b97f50410edd5faad0377ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "865823bb8b109988b131bfca240c85c5fac30a483d3ad6c032b398fa687c5637",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-07-04T16:53:07Z",
    "title_canon_sha256": "bd29d90b704ee1703c7f456dbcd2f4c9acfeafd335441008d5b7ea2127738d6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0777",
    "kind": "arxiv",
    "version": 2
  }
}