Pith Number

pith:YNPTH7AI

pith:2015:YNPTH7AIC5H5Y5WZYMDOWOC7TV

not attested not anchored not stored refs pending

A weakly universal cellular automaton on the pentagrid with three states

Maurice Margenstern

arxiv:1510.09129 v1 · 2015-10-30 · cs.DM · 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{YNPTH7AIC5H5Y5WZYMDOWOC7TV}

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	2026-05-18T01:28:22.817005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c35f33fc08174fdc76d9c306eb385f9d48f62117c44816e424e1ac85e1ef498d

Aliases

arxiv: 1510.09129 · arxiv_version: 1510.09129v1 · doi: 10.48550/arxiv.1510.09129 · pith_short_12: YNPTH7AIC5H5 · pith_short_16: YNPTH7AIC5H5Y5WZ · pith_short_8: YNPTH7AI

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/YNPTH7AIC5H5Y5WZYMDOWOC7TV \
  | 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: c35f33fc08174fdc76d9c306eb385f9d48f62117c44816e424e1ac85e1ef498d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cae2d33aee58fb435ee9eb0e796e54cbbc6e8e4f770196ea03ac78736b730a14",
    "cross_cats_sorted": [
      "nlin.CG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2015-10-30T15:37:48Z",
    "title_canon_sha256": "06acf0bf60c777158589ce6a96903c0be8c2a209ec4d39712e2f55501bf6c5c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.09129",
    "kind": "arxiv",
    "version": 1
  }
}