Pith Number

pith:WK3MRQJQ

pith:2006:WK3MRQJQUPUNYTCY5SFDPVQ3ZX

not attested not anchored not stored refs pending

On the communication between cells of a cellular automaton on the penta- and heptagrids of the hyperbolic plane

Maurice Margenstern

arxiv:cs/0606012 v1 · 2006-06-02 · cs.CG · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WK3MRQJQUPUNYTCY5SFDPVQ3ZX}

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	2026-05-18T04:08:54.064652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2b6c8c130a3e8dc4c58ec8a37d61bcdc512dd40659d5ef50c9331b163a53174

Aliases

arxiv: cs/0606012 · arxiv_version: cs/0606012v1 · doi: 10.48550/arxiv.cs/0606012 · pith_short_12: WK3MRQJQUPUN · pith_short_16: WK3MRQJQUPUNYTCY · pith_short_8: WK3MRQJQ

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/WK3MRQJQUPUNYTCY5SFDPVQ3ZX \
  | 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: b2b6c8c130a3e8dc4c58ec8a37d61bcdc512dd40659d5ef50c9331b163a53174

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ab29f9d6677ea0cf4a9ffb8311d9d0d28d55f05461741911790ad577ed9e04c",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "",
    "primary_cat": "cs.CG",
    "submitted_at": "2006-06-02T07:34:17Z",
    "title_canon_sha256": "ff264e8d40ef1494abcdedcd5977ce3abed4d8ae8b7a6378beb9fffdcff1dc11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0606012",
    "kind": "arxiv",
    "version": 1
  }
}