Pith Number

pith:DKD54KRW

pith:2007:DKD54KRWAK6IPQJAOZGCSOSLVL

not attested not anchored not stored refs pending

On a model of random cycles

Daniel Gandolfo, Daniel Ueltschi, Jean Ruiz

arxiv:cond-mat/0703315 v3 · 2007-03-12 · cond-mat.stat-mech · math-ph · math.MP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKD54KRWAK6IPQJAOZGCSOSLVL}

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	2026-05-18T04:08:54.530369Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a87de2a3602bc87c120764c293a4baadb69f27c65d4d2110061f1fcb406a490

Aliases

arxiv: cond-mat/0703315 · arxiv_version: cond-mat/0703315v3 · doi: 10.48550/arxiv.cond-mat/0703315 · pith_short_12: DKD54KRWAK6I · pith_short_16: DKD54KRWAK6IPQJA · pith_short_8: DKD54KRW

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/DKD54KRWAK6IPQJAOZGCSOSLVL \
  | 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: 1a87de2a3602bc87c120764c293a4baadb69f27c65d4d2110061f1fcb406a490

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b48d9f2651949b08866caf0abd9a884d89acb7b0354975aec14332dfd5370e9",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2007-03-12T21:19:14Z",
    "title_canon_sha256": "849cfd5cf0f257dbac809044ec6d93cab8936313a59f7f98445cecb40e229073"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0703315",
    "kind": "arxiv",
    "version": 3
  }
}