Pith Number

pith:7OKOLNWU

pith:2014:7OKOLNWUW4TRBOVF7Q4FP6MPQO

not attested not anchored not stored refs pending

Markovianity of the invariant distribution of probabilistic cellular automata on the line

Jean-Fran\c{c}ois Marckert, J\'er\^ome Casse

arxiv:1401.5365 v2 · 2014-01-21 · 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{7OKOLNWUW4TRBOVF7Q4FP6MPQO}

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	2026-05-18T02:28:31.875414Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb94e5b6d4b72710baa5fc3857f98f8399e8ce1f5af706ac72f95b5907c03ba8

Aliases

arxiv: 1401.5365 · arxiv_version: 1401.5365v2 · doi: 10.48550/arxiv.1401.5365 · pith_short_12: 7OKOLNWUW4TR · pith_short_16: 7OKOLNWUW4TRBOVF · pith_short_8: 7OKOLNWU

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/7OKOLNWUW4TRBOVF7Q4FP6MPQO \
  | 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: fb94e5b6d4b72710baa5fc3857f98f8399e8ce1f5af706ac72f95b5907c03ba8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d3373408af600e8bac4d3da42139fbb73af31d54d1f5c2be6d0016bcbeb5605",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-01-21T16:17:19Z",
    "title_canon_sha256": "2f0f4c3474f221502527d372d269722c727994cdbbf14fe60c92d3df21d05339"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.5365",
    "kind": "arxiv",
    "version": 2
  }
}