Pith Number

pith:UQTHCR5N

pith:2013:UQTHCR5NIBXHQW3AYRWQIRSICJ

not attested not anchored not stored refs pending

Phase transitions in probabilistic cellular automata

Lise Ponselet

arxiv:1312.3612 v1 · 2013-12-12 · 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{UQTHCR5NIBXHQW3AYRWQIRSICJ}

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.

Cited by

1 paper in Pith

Peierls bounds from Toom contours

Receipt and verification

First computed	2026-05-18T03:04:50.373720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4267147ad406e785b60c46d0446481242d3e55530607010d0561d4da7977c5c

Aliases

arxiv: 1312.3612 · arxiv_version: 1312.3612v1 · doi: 10.48550/arxiv.1312.3612 · pith_short_12: UQTHCR5NIBXH · pith_short_16: UQTHCR5NIBXHQW3A · pith_short_8: UQTHCR5N

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/UQTHCR5NIBXHQW3AYRWQIRSICJ \
  | 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: a4267147ad406e785b60c46d0446481242d3e55530607010d0561d4da7977c5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a27b411c0617643261e5a11c61c8acff52dd9f53afbf96701e0ba49fd9c9cacc",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-12-12T20:21:02Z",
    "title_canon_sha256": "0f8d3628226b175574b44cf49edf3c2d825663a215b3682c4ac3e06f8e4eeb0e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3612",
    "kind": "arxiv",
    "version": 1
  }
}