Pith Number

pith:ZNJ5EJUD

pith:2008:ZNJ5EJUDIXEMKWPFEMA4TXCQQV

not attested not anchored not stored refs pending

Rich, Sturmian, and trapezoidal words

Aldo de Luca, Amy Glen, Luca Q. Zamboni

arxiv:0802.3885 v1 · 2008-02-26 · math.CO · 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{ZNJ5EJUDIXEMKWPFEMA4TXCQQV}

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	2026-07-04T17:25:48.364379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb53d2268345c8c559e52301c9dc50857f5819ca5f14d6a50fd8850a31b439fc

Aliases

arxiv: 0802.3885 · arxiv_version: 0802.3885v1 · doi: 10.48550/arxiv.0802.3885 · pith_short_12: ZNJ5EJUDIXEM · pith_short_16: ZNJ5EJUDIXEMKWPF · pith_short_8: ZNJ5EJUD

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/ZNJ5EJUDIXEMKWPFEMA4TXCQQV \
  | 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: cb53d2268345c8c559e52301c9dc50857f5819ca5f14d6a50fd8850a31b439fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "005cc3fac7b313a5265d7f9dc9e83d0d28bdf0dc8441184cf5f844d5a612cdfc",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-02-26T19:51:32Z",
    "title_canon_sha256": "4b197f9ec163d71116bd3aaf625f31c8d3bd658687b6d767f90c08cef807e11f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.3885",
    "kind": "arxiv",
    "version": 1
  }
}