Pith Number

pith:MMGMNWOU

pith:2025:MMGMNWOUBOV3QAUI22WMQUASVN

not attested not anchored not stored refs pending

Differentiable Logic Cellular Automata: From Game of Life to Pattern Generation

Alexander Mordvintsev, Ettore Randazzo, Eyvind Niklasson, Pietro Miotti

arxiv:2506.04912 v1 · 2025-06-05 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MMGMNWOUBOV3QAUI22WMQUASVN}

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	2026-07-05T11:16:38.953618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

630cc6d9d40babb80288d6acc85012ab6b135c1b3148b3985edf6df1d031c098

Aliases

arxiv: 2506.04912 · arxiv_version: 2506.04912v1 · doi: 10.48550/arxiv.2506.04912 · pith_short_12: MMGMNWOUBOV3 · pith_short_16: MMGMNWOUBOV3QAUI · pith_short_8: MMGMNWOU

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/MMGMNWOUBOV3QAUI22WMQUASVN \
  | 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: 630cc6d9d40babb80288d6acc85012ab6b135c1b3148b3985edf6df1d031c098

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c642fc7d675b3e3b9028bdf4d09f8653eaa5af707d9b20b0e67f137b2e1f98ed",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2025-06-05T11:45:43Z",
    "title_canon_sha256": "126d351e679e8935eaf1780a68579d5eb214fdab45cde3f9e468e171e29c0a7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04912",
    "kind": "arxiv",
    "version": 1
  }
}