Pith Number

pith:CG2UHQZL

pith:2010:CG2UHQZLIQC4LPBJEGL2GIC2MS

not attested not anchored not stored refs pending

1D Effectively Closed Subshifts and 2D Tilings

Alexander Shen (LIF), Andrei Romashchenko (LIF), Durand Bruno (LIF)

arxiv:1012.1329 v1 · 2010-12-03 · cs.DM · cs.FL

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CG2UHQZLIQC4LPBJEGL2GIC2MS}

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	2026-05-18T04:34:01.187164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b543c32b4405c5bc292197a3205a648420f54278900d1abc280f2c43e9cfcf

Aliases

arxiv: 1012.1329 · arxiv_version: 1012.1329v1 · doi: 10.48550/arxiv.1012.1329 · pith_short_12: CG2UHQZLIQC4 · pith_short_16: CG2UHQZLIQC4LPBJ · pith_short_8: CG2UHQZL

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/CG2UHQZLIQC4LPBJEGL2GIC2MS \
  | 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: 11b543c32b4405c5bc292197a3205a648420f54278900d1abc280f2c43e9cfcf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fade14d7745ab8cdce8efbf119547522bcf69339e8761b7bcdfa4014416c52b",
    "cross_cats_sorted": [
      "cs.FL"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2010-12-03T09:26:27Z",
    "title_canon_sha256": "a3273391e8eed62214e010e6580695a0d7af03647d10449cf1d693be0a109e99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1329",
    "kind": "arxiv",
    "version": 1
  }
}