Pith Number

pith:H3ASNR4R

pith:2010:H3ASNR4R67WZ6CGTIXTL4ENNK6

not attested not anchored not stored refs pending

Probabilistic cellular automata, invariant measures, and perfect sampling

Ana Busic, Irene Marcovici, Jean Mairesse

arxiv:1010.3133 v2 · 2010-10-15 · math.PR · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H3ASNR4R67WZ6CGTIXTL4ENNK6}

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	2026-05-18T02:23:45.621031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3ec126c791f7ed9f08d345e6be11ad57884b4bf3c4cff0a401d3cd16193fb7b7

Aliases

arxiv: 1010.3133 · arxiv_version: 1010.3133v2 · doi: 10.48550/arxiv.1010.3133 · pith_short_12: H3ASNR4R67WZ · pith_short_16: H3ASNR4R67WZ6CGT · pith_short_8: H3ASNR4R

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/H3ASNR4R67WZ6CGTIXTL4ENNK6 \
  | 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: 3ec126c791f7ed9f08d345e6be11ad57884b4bf3c4cff0a401d3cd16193fb7b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d383f044555990b8044bef4086cdd271e070f51c4a4ace1daf8814fa1542a5b",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-10-15T11:54:53Z",
    "title_canon_sha256": "20c01af33a00571fe3b14e8e213bccab014b6f8eb696e67c6eb048d013000c9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.3133",
    "kind": "arxiv",
    "version": 2
  }
}