Pith Number

pith:WAEFEZUQ

pith:2011:WAEFEZUQP3PHFIPHHKTCCS42SW

not attested not anchored not stored refs pending

Phase transition behavior in a cellular automaton model with different initial configurations

Wei Chen, Wei Zhang

arxiv:1102.5704 v1 · 2011-02-28 · nlin.CG · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WAEFEZUQP3PHFIPHHKTCCS42SW}

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	2026-05-18T04:27:46.196510Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0085266907ede72a1e73aa6214b9a95829d06f6e9c7e58c072c3f68dc39d6f4

Aliases

arxiv: 1102.5704 · arxiv_version: 1102.5704v1 · doi: 10.48550/arxiv.1102.5704 · pith_short_12: WAEFEZUQP3PH · pith_short_16: WAEFEZUQP3PHFIPH · pith_short_8: WAEFEZUQ

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/WAEFEZUQP3PHFIPHHKTCCS42SW \
  | 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: b0085266907ede72a1e73aa6214b9a95829d06f6e9c7e58c072c3f68dc39d6f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41d3dbf2fc6510f113f9f258fcda8e0d1d3c80a934443e8e15a350f7d710ee3c",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CG",
    "submitted_at": "2011-02-28T16:42:14Z",
    "title_canon_sha256": "413e80af3323915db64548777b989b3961ea060e3005629296deda4c05231589"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5704",
    "kind": "arxiv",
    "version": 1
  }
}