Pith Number

pith:UGW42QXG

pith:2002:UGW42QXGMEKBWPAZLM7AITSCW2

not attested not anchored not stored refs pending

Reliability Polynomials and their Asymptotic Limits for Families of Graphs

Robert Shrock, Shu-Chiuan Chang

arxiv:cond-mat/0208538 v2 · 2002-08-27 · 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{UGW42QXGMEKBWPAZLM7AITSCW2}

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	2026-05-18T01:40:03.039570Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1adcd42e661141b3c195b3e044e42b6be3edb7d5ebbf669e82fabade90821d4

Aliases

arxiv: cond-mat/0208538 · arxiv_version: cond-mat/0208538v2 · doi: 10.48550/arxiv.cond-mat/0208538 · pith_short_12: UGW42QXGMEKB · pith_short_16: UGW42QXGMEKBWPAZ · pith_short_8: UGW42QXG

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/UGW42QXGMEKBWPAZLM7AITSCW2 \
  | 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: a1adcd42e661141b3c195b3e044e42b6be3edb7d5ebbf669e82fabade90821d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3055f11369d19a80dc68f0c040f5fc7174342e8e129afdb431494aa8f23f41af",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2002-08-27T23:40:26Z",
    "title_canon_sha256": "dd3e6100dd7914a09db10dd50b9b8b17c2adae989d1e0ddf2561aa34a2b4dd8d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0208538",
    "kind": "arxiv",
    "version": 2
  }
}