Pith Number

pith:DNKXNCZM

pith:2025:DNKXNCZMRLQTKSAIBRAVPIXIBW

not attested not anchored not stored refs pending

Mixtures of Neural Cellular Automata: A Stochastic Framework for Growth Modelling and Self-Organization

Andrea Sottoriva, Giulio Caravagna, Salvatore Milite

arxiv:2506.20486 v1 · 2025-06-25 · 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{DNKXNCZMRLQTKSAIBRAVPIXIBW}

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	2026-07-05T11:27:06.541913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b55768b2c8ae13548080c4157a2e80d953e7e563a866da9c9971f579c30b9b6

Aliases

arxiv: 2506.20486 · arxiv_version: 2506.20486v1 · doi: 10.48550/arxiv.2506.20486 · pith_short_12: DNKXNCZMRLQT · pith_short_16: DNKXNCZMRLQTKSAI · pith_short_8: DNKXNCZM

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/DNKXNCZMRLQTKSAIBRAVPIXIBW \
  | 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: 1b55768b2c8ae13548080c4157a2e80d953e7e563a866da9c9971f579c30b9b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eabd9a7112e1e8239e93e777c17c7af9fef2260835595558ba68c5ccc34c2329",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2025-06-25T14:33:35Z",
    "title_canon_sha256": "a3a36324463f099b074294c0a26384656f029026c951c967b60d4b46c07218e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.20486",
    "kind": "arxiv",
    "version": 1
  }
}