Pith Number

pith:J6TANJCU

pith:2011:J6TANJCUY2CRVSUNS4COIOLEA7

not attested not anchored not stored refs pending

A local limit theorem for triple connections in subcritical Bernoulli percolation

Massimo Campanino, Michele Gianfelice

arxiv:1103.2002 v1 · 2011-03-10 · math.PR · 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{J6TANJCUY2CRVSUNS4COIOLEA7}

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	2026-05-18T04:27:03.190577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fa606a454c6851aca8d9704e4396407c18f15461ed41a961ce12c15a5a56ee1

Aliases

arxiv: 1103.2002 · arxiv_version: 1103.2002v1 · doi: 10.48550/arxiv.1103.2002 · pith_short_12: J6TANJCUY2CR · pith_short_16: J6TANJCUY2CRVSUN · pith_short_8: J6TANJCU

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/J6TANJCUY2CRVSUNS4COIOLEA7 \
  | 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: 4fa606a454c6851aca8d9704e4396407c18f15461ed41a961ce12c15a5a56ee1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d06dbef06a78c1bc894adc18dacf62b9a8b1059cf29bdb448b06e8b8770f12ef",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-03-10T11:55:42Z",
    "title_canon_sha256": "71c7c1bb3cf07404fed2a6d639d101e826d4a3c4e5d30619ed7ba75e5edd3e57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2002",
    "kind": "arxiv",
    "version": 1
  }
}