Pith Number

pith:ZGIBN2OI

pith:2012:ZGIBN2OITBUXVBGMVBUPF5RYMW

not attested not anchored not stored refs pending

Probabilistic cellular automata and random fields with i.i.d. directions

Irene Marcovici, Jean Mairesse

arxiv:1207.5917 v1 · 2012-07-25 · math.PR · cs.DM · nlin.CG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZGIBN2OITBUXVBGMVBUPF5RYMW}

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	2026-05-18T03:50:09.947643Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c99016e9c898697a84cca868f2f638659b9eb909b022d9a9fcb93d9f434bdb3a

Aliases

arxiv: 1207.5917 · arxiv_version: 1207.5917v1 · doi: 10.48550/arxiv.1207.5917 · pith_short_12: ZGIBN2OITBUX · pith_short_16: ZGIBN2OITBUXVBGM · pith_short_8: ZGIBN2OI

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/ZGIBN2OITBUXVBGMVBUPF5RYMW \
  | 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: c99016e9c898697a84cca868f2f638659b9eb909b022d9a9fcb93d9f434bdb3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c097d79ae66e0a78a7395695430e8194c96956a193177c37e0c1b05e7dcb88f6",
    "cross_cats_sorted": [
      "cs.DM",
      "nlin.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-25T08:24:48Z",
    "title_canon_sha256": "de4365d34b272b2b11733ebd46cfaaa3665c3ca0a94f4251c5af544b0efde6fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.5917",
    "kind": "arxiv",
    "version": 1
  }
}