Pith Number

pith:CN4HW2BM

pith:2009:CN4HW2BMGLSQWWBPSFNMIVLAT7

not attested not anchored not stored refs pending

Clusters from higher order correlations

L. S. Schulman

arxiv:0907.0712 v1 · 2009-07-03 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CN4HW2BMGLSQWWBPSFNMIVLAT7}

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	2026-05-18T02:13:05.382473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13787b682c32e50b582f915ac455609fec8808469d2e6d2207ef996865165110

Aliases

arxiv: 0907.0712 · arxiv_version: 0907.0712v1 · doi: 10.48550/arxiv.0907.0712 · pith_short_12: CN4HW2BMGLSQ · pith_short_16: CN4HW2BMGLSQWWBP · pith_short_8: CN4HW2BM

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/CN4HW2BMGLSQWWBPSFNMIVLAT7 \
  | 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: 13787b682c32e50b582f915ac455609fec8808469d2e6d2207ef996865165110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a976c1b2170b2749619a326aa338f0423eb71607c9ce860cac648bd2195f1f21",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2009-07-03T20:40:10Z",
    "title_canon_sha256": "f202c5506405a3b4dfdfc21918aab12cd7148ef1f506d3620b6528da5e92bbf7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.0712",
    "kind": "arxiv",
    "version": 1
  }
}