Pith Number

pith:4L2Z3ZEL

pith:2025:4L2Z3ZELIH7ZEAQASH6A5XLCBG

not attested not anchored not stored refs pending

Loop Patterns Formed by Cellular Automata

Mariusz Bia{\l}ecki, Rolf Hoffmann

arxiv:2505.22679 v1 · 2025-05-14 · 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{4L2Z3ZELIH7ZEAQASH6A5XLCBG}

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	2026-07-05T11:11:48.478980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f59de48b41ff92020091fc0edd6209991d67099e981e8c22b5e3b92818d003

Aliases

arxiv: 2505.22679 · arxiv_version: 2505.22679v1 · doi: 10.48550/arxiv.2505.22679 · pith_short_12: 4L2Z3ZELIH7Z · pith_short_16: 4L2Z3ZELIH7ZEAQA · pith_short_8: 4L2Z3ZEL

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/4L2Z3ZELIH7ZEAQASH6A5XLCBG \
  | 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: e2f59de48b41ff92020091fc0edd6209991d67099e981e8c22b5e3b92818d003

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42ead9f627520d1a95db7d7dc2350bc8ebfbdbad577ee28eddedd69bf1e74470",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "nlin.CG",
    "submitted_at": "2025-05-14T19:06:23Z",
    "title_canon_sha256": "1354f27deca1a7b3168ca27ae8399c8036ae75e244f083bfa12c4e3c39707487"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22679",
    "kind": "arxiv",
    "version": 1
  }
}