Pith Number

pith:CO65CEFQ

pith:2001:CO65CEFQHYH7VV32MBA6MOSRUU

not attested not anchored not stored refs pending

Complex Tilings

Alexander Shen, Bruno Durand, Leonid A. Levin

arxiv:cs/0107008 v3 · 2001-07-04 · cs.CC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CO65CEFQHYH7VV32MBA6MOSRUU}

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	2026-05-17T23:59:28.069386Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13bdd110b03e0ffad77a6041e63a51a51c26e76995abd426baa7c4d0b6c2772e

Aliases

arxiv: cs/0107008 · arxiv_version: cs/0107008v3 · doi: 10.48550/arxiv.cs/0107008 · pith_short_12: CO65CEFQHYH7 · pith_short_16: CO65CEFQHYH7VV32 · pith_short_8: CO65CEFQ

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/CO65CEFQHYH7VV32MBA6MOSRUU \
  | 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: 13bdd110b03e0ffad77a6041e63a51a51c26e76995abd426baa7c4d0b6c2772e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8a1e712f1075e8606671e03e06019db731b7c2d00c99a7d3350feb307c9d2e0",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "",
    "primary_cat": "cs.CC",
    "submitted_at": "2001-07-04T21:09:25Z",
    "title_canon_sha256": "a65d61e3d9261514b374bc70f752a315934e611a968ce506c4408957add712e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cs/0107008",
    "kind": "arxiv",
    "version": 3
  }
}