Pith Number

pith:JYBCCWTG

pith:2012:JYBCCWTGDFQHJNW7NLABQANO3I

not attested not anchored not stored refs pending

Approximating the partition function of planar two-state spin systems

Colin McQuillan, Leslie Ann Goldberg, Mark Jerrum

arxiv:1208.4987 v3 · 2012-08-24 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JYBCCWTGDFQHJNW7NLABQANO3I}

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	2026-05-18T02:48:17.971326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e02215a66196074b6df6ac01801aeda114989a15774e4fa1a8127d937403045

Aliases

arxiv: 1208.4987 · arxiv_version: 1208.4987v3 · doi: 10.48550/arxiv.1208.4987 · pith_short_12: JYBCCWTGDFQH · pith_short_16: JYBCCWTGDFQHJNW7 · pith_short_8: JYBCCWTG

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/JYBCCWTGDFQHJNW7NLABQANO3I \
  | 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: 4e02215a66196074b6df6ac01801aeda114989a15774e4fa1a8127d937403045

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4890a89547dac8a173c01c894092b611fae69b6d6f85d96e459efdaa495ed30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2012-08-24T14:19:10Z",
    "title_canon_sha256": "0cd7437ed6609f69b884e18e43a2605ae9ef4d2bc18b595d06a4331f968e282c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4987",
    "kind": "arxiv",
    "version": 3
  }
}