Pith Number

pith:DO7RP7CC

pith:1999:DO7RP7CCPIIFCLMHDPPSPJ4QLC

not attested not anchored not stored refs pending

Combinatorial and topological approach to the 3D Ising model

Riccardo Zecchina, Tullio Regge

arxiv:cond-mat/9909168 v2 · 1999-09-13 · cond-mat.stat-mech · hep-th · 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{DO7RP7CCPIIFCLMHDPPSPJ4QLC}

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	2026-07-04T15:27:11.297688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bbf17fc427a10512d871bdf27a79058b78eb697add06ba4b6c874cb60f0ae66

Aliases

arxiv: cond-mat/9909168 · arxiv_version: cond-mat/9909168v2 · doi: 10.48550/arxiv.cond-mat/9909168 · pith_short_12: DO7RP7CCPIIF · pith_short_16: DO7RP7CCPIIFCLMH · pith_short_8: DO7RP7CC

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/DO7RP7CCPIIFCLMHDPPSPJ4QLC \
  | 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: 1bbf17fc427a10512d871bdf27a79058b78eb697add06ba4b6c874cb60f0ae66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1daca7571ed141ba3b164f7939883bb3ec87daf43b6003324e0badf876aa674d",
    "cross_cats_sorted": [
      "hep-th",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "1999-09-13T16:02:09Z",
    "title_canon_sha256": "93149b56f6f0944ea30bac76e9e780a9512f5582c6ab07ddfd841254fc3e5456"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/9909168",
    "kind": "arxiv",
    "version": 2
  }
}