Pith Number

pith:PIOGQ2GM

pith:2010:PIOGQ2GMI5NT5AQSP5U2MBB36D

not attested not anchored not stored refs pending

The Toothpick Sequence and Other Sequences from Cellular Automata

David Applegate, N. J. A. Sloane, Omar E. Pol

arxiv:1004.3036 v2 · 2010-04-18 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PIOGQ2GMI5NT5AQSP5U2MBB36D}

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	2026-05-18T02:24:16.489278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a1c6868cc475b3e82127f69a6043bf0c5ebb2f6fe0c648c5ad46c0a5fac52d7

Aliases

arxiv: 1004.3036 · arxiv_version: 1004.3036v2 · doi: 10.48550/arxiv.1004.3036 · pith_short_12: PIOGQ2GMI5NT · pith_short_16: PIOGQ2GMI5NT5AQS · pith_short_8: PIOGQ2GM

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/PIOGQ2GMI5NT5AQSP5U2MBB36D \
  | 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: 7a1c6868cc475b3e82127f69a6043bf0c5ebb2f6fe0c648c5ad46c0a5fac52d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "159f9a518a317990b06cb688cb5603946a3187d401d2b4d16992c430db3dfed0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-04-18T16:08:49Z",
    "title_canon_sha256": "9a5292dd47388a02cda35bfd8c627f6152c7754781508f4494a1d167271e3d10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.3036",
    "kind": "arxiv",
    "version": 2
  }
}