Pith Number

pith:E4WMYLHI

pith:2018:E4WMYLHIVUAL2GALZ7QOBQD6II

not attested not anchored not stored refs pending

Rule Primality, Minimal Generating Sets, Turing-Universality and Causal Decomposition in Elementary Cellular Automata

Hector Zenil, J\"urgen Riedel

arxiv:1802.08769 v1 · 2018-02-24 · nlin.CG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4WMYLHIVUAL2GALZ7QOBQD6II}

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	2026-05-18T00:22:36.518426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

272ccc2ce8ad00bd180bcfe0e0c07e4211c56c804d0b4d2891ff384fd97cdd8a

Aliases

arxiv: 1802.08769 · arxiv_version: 1802.08769v1 · doi: 10.48550/arxiv.1802.08769 · pith_short_12: E4WMYLHIVUAL · pith_short_16: E4WMYLHIVUAL2GAL · pith_short_8: E4WMYLHI

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/E4WMYLHIVUAL2GALZ7QOBQD6II \
  | 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: 272ccc2ce8ad00bd180bcfe0e0c07e4211c56c804d0b4d2891ff384fd97cdd8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adc83c755d324f2b0692b9f26de0e47eca55d2163a9aca0a481229bd58bad892",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CG",
    "submitted_at": "2018-02-24T00:01:42Z",
    "title_canon_sha256": "8b9f3148eaa0ae840991e0b044603ab3682ee8a526a093b43c1fe2c12ed67409"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08769",
    "kind": "arxiv",
    "version": 1
  }
}