Pith Number

pith:5PYGBNW7

pith:2012:5PYGBNW7W7TCCDVXFBK72PVMY4

not attested not anchored not stored refs pending

On Nilpotency and Asymptotic Nilpotency of Cellular Automata

Finland), Ville Salo (University of Turku

arxiv:1205.6714 v2 · 2012-05-30 · math.DS · cs.FL · 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{5PYGBNW7W7TCCDVXFBK72PVMY4}

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	2026-05-18T03:48:47.792888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebf060b6dfb7e6210eb72855fd3eacc727109d52e387ec3a13b7842bf91b98db

Aliases

arxiv: 1205.6714 · arxiv_version: 1205.6714v2 · doi: 10.48550/arxiv.1205.6714 · pith_short_12: 5PYGBNW7W7TC · pith_short_16: 5PYGBNW7W7TCCDVX · pith_short_8: 5PYGBNW7

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/5PYGBNW7W7TCCDVXFBK72PVMY4 \
  | 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: ebf060b6dfb7e6210eb72855fd3eacc727109d52e387ec3a13b7842bf91b98db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "938dd43a66e9dd5f5d93ea87f382dca7a0e7fe6504b35b7a0bf81474813842f7",
    "cross_cats_sorted": [
      "cs.FL",
      "nlin.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-05-30T15:05:59Z",
    "title_canon_sha256": "e265b6ee2f0ab202238d17c68dd6890ff545f51bfe636a6f8079617a62ecaf3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.6714",
    "kind": "arxiv",
    "version": 2
  }
}