Pith Number

pith:Q5XMAOIC

pith:2014:Q5XMAOICSTUABIWK534RIRREVJ

not attested not anchored not stored refs pending

Central limit theorems, Lee-Yang zeros, and graph-counting polynomials

B. Pittel, D. Ruelle, E. R. Speer, J. L. Lebowitz

arxiv:1408.4153 v2 · 2014-08-18 · math.CO · 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{Q5XMAOICSTUABIWK534RIRREVJ}

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	2026-05-18T01:35:12.143215Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

876ec0390294e800a2caeef9144624aa6d1edba0bf3df1db2a5ddaed411ba27b

Aliases

arxiv: 1408.4153 · arxiv_version: 1408.4153v2 · doi: 10.48550/arxiv.1408.4153 · pith_short_12: Q5XMAOICSTUA · pith_short_16: Q5XMAOICSTUABIWK · pith_short_8: Q5XMAOIC

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/Q5XMAOICSTUABIWK534RIRREVJ \
  | 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: 876ec0390294e800a2caeef9144624aa6d1edba0bf3df1db2a5ddaed411ba27b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0011a00ea90fde6e40fc308e1b5594d0c62c5cfe241caebc32c224c116bf829e",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-08-18T20:43:02Z",
    "title_canon_sha256": "023b324a11399da62bc5d2cbfb952a12c53419407e8ee275f04427bc78f35a83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4153",
    "kind": "arxiv",
    "version": 2
  }
}