Pith Number

pith:7A67IRZW

pith:2011:7A67IRZWX6EI3CS2CCZO2OPWIU

not attested not anchored not stored refs pending

Approximate Counting via Correlation Decay in Spin Systems

Liang Li, Pinyan Lu, Yitong Yin

arxiv:1109.0604 v2 · 2011-09-03 · cs.DS · 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{7A67IRZWX6EI3CS2CCZO2OPWIU}

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	2026-05-18T04:09:25.031240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f83df44736bf888d8a5a10b2ed39f6453fa36767a30528f8684aa0f08865fce8

Aliases

arxiv: 1109.0604 · arxiv_version: 1109.0604v2 · doi: 10.48550/arxiv.1109.0604 · pith_short_12: 7A67IRZWX6EI · pith_short_16: 7A67IRZWX6EI3CS2 · pith_short_8: 7A67IRZW

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/7A67IRZWX6EI3CS2CCZO2OPWIU \
  | 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: f83df44736bf888d8a5a10b2ed39f6453fa36767a30528f8684aa0f08865fce8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8adab4d3e7a6e3150597ebe6fecdacb6d2e1888b649a9ce77a45f231a4eb44b9",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2011-09-03T08:08:17Z",
    "title_canon_sha256": "a5a0c5a3968cb2fccde3132edda24ecde14fa9f992f8b1f271a711a44b47dcda"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0604",
    "kind": "arxiv",
    "version": 2
  }
}