Pith Number

pith:Q7MDAU6S

pith:2011:Q7MDAU6SBGJ2V7CYKWJ6KFJTCO

not attested not anchored not stored refs pending

Motzkin numbers out of Random Domino Automaton

Mariusz Bia{\l}ecki

arxiv:1102.0437 v1 · 2011-02-02 · math-ph · math.CO · math.MP · nlin.CG · nlin.SI · physics.geo-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{Q7MDAU6SBGJ2V7CYKWJ6KFJTCO}

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	2026-05-18T03:42:12.047233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87d83053d20993aafc585593e5153313b2c04db82cb9e5456ef153a2c8f2df47

Aliases

arxiv: 1102.0437 · arxiv_version: 1102.0437v1 · doi: 10.48550/arxiv.1102.0437 · pith_short_12: Q7MDAU6SBGJ2 · pith_short_16: Q7MDAU6SBGJ2V7CY · pith_short_8: Q7MDAU6S

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/Q7MDAU6SBGJ2V7CYKWJ6KFJTCO \
  | 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: 87d83053d20993aafc585593e5153313b2c04db82cb9e5456ef153a2c8f2df47

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5137c19f2ff28c892dd10cd1a0ea214db98758f9c68345794b4788c7e5dfdcfc",
    "cross_cats_sorted": [
      "math.CO",
      "math.MP",
      "nlin.CG",
      "nlin.SI",
      "physics.geo-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-02T14:24:39Z",
    "title_canon_sha256": "4f3f9da02687753d637ac5499e8a28e4e8a1792cc2ac0b27059e21b9f72df445"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.0437",
    "kind": "arxiv",
    "version": 1
  }
}