Pith Number

pith:QHD2DYYT

pith:2011:QHD2DYYTOO7EMWZ7YETZ6WK4XT

not attested not anchored not stored refs pending

A Short Proof of the Reducibility of Hard-Particle Cluster Integrals

Stephan Korden

arxiv:1105.3717 v1 · 2011-05-18 · math-ph · cond-mat.soft · cond-mat.stat-mech · 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{QHD2DYYTOO7EMWZ7YETZ6WK4XT}

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	2026-05-18T04:21:52.011593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81c7a1e31373be465b3fc1279f595cbcfbe1f285a5a59d18056b67634af800c8

Aliases

arxiv: 1105.3717 · arxiv_version: 1105.3717v1 · doi: 10.48550/arxiv.1105.3717 · pith_short_12: QHD2DYYTOO7E · pith_short_16: QHD2DYYTOO7EMWZ7 · pith_short_8: QHD2DYYT

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/QHD2DYYTOO7EMWZ7YETZ6WK4XT \
  | 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: 81c7a1e31373be465b3fc1279f595cbcfbe1f285a5a59d18056b67634af800c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "601dc85813c453c41e1e682c40a9cdb1806977de65b9295b8445cb9d693d626d",
    "cross_cats_sorted": [
      "cond-mat.soft",
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-05-18T19:11:24Z",
    "title_canon_sha256": "ffc65e9deefbe698cb5ee4d766b64d2815801cfa527180a68aea435a9e511dc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3717",
    "kind": "arxiv",
    "version": 1
  }
}