Pith Number

pith:IBUQK3AC

pith:2012:IBUQK3ACFDMPMIOOXDRWJK2NWW

not attested not anchored not stored refs pending

The monomer-dimer problem and moment Lyapunov exponents of homogeneous Gaussian random fields

Igor G. Vladimirov

arxiv:1204.1674 v1 · 2012-04-07 · math.PR · cond-mat.stat-mech · math.DS · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IBUQK3ACFDMPMIOOXDRWJK2NWW}

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	2026-05-18T03:39:28.748690Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4069056c0228d8f621ceb8e364ab4db59cbd12f62c3f0bee2967765f45423759

Aliases

arxiv: 1204.1674 · arxiv_version: 1204.1674v1 · doi: 10.48550/arxiv.1204.1674 · pith_short_12: IBUQK3ACFDMP · pith_short_16: IBUQK3ACFDMPMIOO · pith_short_8: IBUQK3AC

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/IBUQK3ACFDMPMIOOXDRWJK2NWW \
  | 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: 4069056c0228d8f621ceb8e364ab4db59cbd12f62c3f0bee2967765f45423759

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66d5694ecc77ea0c6bbaaad421fd4dd23bea8d496300cfe1c8f27c5b277ff5ac",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.DS",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-07T19:25:18Z",
    "title_canon_sha256": "11e74020974072f901f174d6051973ff98316616cc400b4778d5b0a4a8b50d1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1674",
    "kind": "arxiv",
    "version": 1
  }
}