Pith Number

pith:TGSDIMXG

pith:2010:TGSDIMXGL7WHBEGYQOZNVKVX4B

not attested not anchored not stored refs pending

The fractal structure of cellular automata on Abelian groups

Johannes G\"utschow, Reinhard F. Werner, Vincent Nesme

arxiv:1011.0313 v1 · 2010-11-01 · cs.DM · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TGSDIMXGL7WHBEGYQOZNVKVX4B}

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	2026-05-18T04:37:23.441953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99a43432e65fec7090d883b2daaab7e07fa25c42229f3e84c5c1ea4294098f1b

Aliases

arxiv: 1011.0313 · arxiv_version: 1011.0313v1 · doi: 10.48550/arxiv.1011.0313 · pith_short_12: TGSDIMXGL7WH · pith_short_16: TGSDIMXGL7WHBEGY · pith_short_8: TGSDIMXG

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/TGSDIMXGL7WHBEGYQOZNVKVX4B \
  | 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: 99a43432e65fec7090d883b2daaab7e07fa25c42229f3e84c5c1ea4294098f1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d327b504ffa6307f3b105356bced6fb0cb0719b1e5d74e4192a92979e9be5a4",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-11-01T13:12:28Z",
    "title_canon_sha256": "99409235e752022c66fcfe9b64d3a76836011ced6b0b8ea09081d978e8186258"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0313",
    "kind": "arxiv",
    "version": 1
  }
}