Pith Number

pith:763BZLNA

pith:2011:763BZLNAGBBKPE7SBTGVYVFIUK

not attested not anchored not stored refs pending

Developments in perfect simulation of Gibbs measures through a new result for the extinction of Galton-Watson-like processes

Andrea Lissandrelli, Emilio De Santis

arxiv:1107.1680 v2 · 2011-07-08 · math.PR · 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{763BZLNAGBBKPE7SBTGVYVFIUK}

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	2026-05-18T02:01:21.198358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffb61cada03042a793f20ccd5c54a8a28387fbffb2a4788d68ebe8fd943233cc

Aliases

arxiv: 1107.1680 · arxiv_version: 1107.1680v2 · doi: 10.48550/arxiv.1107.1680 · pith_short_12: 763BZLNAGBBK · pith_short_16: 763BZLNAGBBKPE7S · pith_short_8: 763BZLNA

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/763BZLNAGBBKPE7SBTGVYVFIUK \
  | 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: ffb61cada03042a793f20ccd5c54a8a28387fbffb2a4788d68ebe8fd943233cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ffec63838763aa6ae94c592a57f6460f36660928a0e585d728643f80c33ceb5",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-07-08T17:31:12Z",
    "title_canon_sha256": "b001a30f86a4659306581b78ad83f1a47dffd2d96f940fd5c3aebc9e25f15ffc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1680",
    "kind": "arxiv",
    "version": 2
  }
}