Pith Number

pith:YNVOBH4M

pith:2013:YNVOBH4MSPJ2U2TR7JVSVAEWNP

not attested not anchored not stored refs pending

Higher order expansions for the entropy of a dimer or a monomer-dimer system on d-dimensional lattices

(2) Dept. of Mathematics, (3) Ist. Naz. Fis. Nucl. Sez. Milano.), Ann Arbor USA, Ist. Naz. Fis. Nucl. Sez. Milano-Bicocca, Mario Pernici (3) ((1) Dipart. di Fisica Univ. di Milano-Bicocca, Milano (Italy), Paolo Butera (1), Paul Federbush (2), Univ.of Michigan

arxiv:1305.7028 v1 · 2013-05-30 · hep-lat · 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{YNVOBH4MSPJ2U2TR7JVSVAEWNP}

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	2026-05-18T01:49:39.909027Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c36ae09f8c93d3aa6a71fa6b2a80966bd12848f25b4705d15fbda0e4bb6b8b84

Aliases

arxiv: 1305.7028 · arxiv_version: 1305.7028v1 · doi: 10.48550/arxiv.1305.7028 · pith_short_12: YNVOBH4MSPJ2 · pith_short_16: YNVOBH4MSPJ2U2TR · pith_short_8: YNVOBH4M

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/YNVOBH4MSPJ2U2TR7JVSVAEWNP \
  | 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: c36ae09f8c93d3aa6a71fa6b2a80966bd12848f25b4705d15fbda0e4bb6b8b84

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fd1096d9e682045713342accc50a4c0102dd5c2149ea4c570f502d88bf20e82",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2013-05-30T08:00:48Z",
    "title_canon_sha256": "df6a4f2ecbc6bcfe83ca89d724985dcbe83cbe0849179c46c79e94f4c7c4c4c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.7028",
    "kind": "arxiv",
    "version": 1
  }
}