Pith Number

pith:2PGU4PCL

pith:2007:2PGU4PCLXREQSJZ34W22MTJUV4

not attested not anchored not stored refs pending

Asynchronism Induces Second Order Phase Transitions in Elementary Cellular Automata

Nazim A. Fat\`es (INRIA Lorraine - Loria)

arxiv:nlin/0703044 v2 · 2007-03-23 · 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{2PGU4PCLXREQSJZ34W22MTJUV4}

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	2026-07-04T15:09:29.722417Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3cd4e3c4bbc4909273be5b5a64d34af1650c2e633d6a5f954eeb155edb9077f

Aliases

arxiv: nlin/0703044 · arxiv_version: nlin/0703044v2 · doi: 10.48550/arxiv.nlin/0703044 · pith_short_12: 2PGU4PCLXREQ · pith_short_16: 2PGU4PCLXREQSJZ3 · pith_short_8: 2PGU4PCL

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/2PGU4PCLXREQSJZ34W22MTJUV4 \
  | 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: d3cd4e3c4bbc4909273be5b5a64d34af1650c2e633d6a5f954eeb155edb9077f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac6ea52f103586bf71b5aba87b866478736cbc38cbc6fb5e7ff4d8f3708c968c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "nlin.CG",
    "submitted_at": "2007-03-23T20:35:53Z",
    "title_canon_sha256": "e3c400ebf2d6bdbda88ac661d56e88ea0af203d58d10ba0cdf97281565e4e740"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0703044",
    "kind": "arxiv",
    "version": 2
  }
}