Pith Number

pith:WV2O3YZS

pith:2009:WV2O3YZSZJT3CZ3KXTX5SYYMTO

not attested not anchored not stored refs pending

Abelian Complexity in Minimal Subshifts

Gw\'ena\"el Richomme, Kalle Saari, Luca Q. Zamboni

arxiv:0911.2914 v1 · 2009-11-15 · 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{WV2O3YZSZJT3CZ3KXTX5SYYMTO}

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	2026-05-18T02:58:02.644435Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b574ede332ca67b1676abcefd9630c9b9e9a4e9ee6489031ad8b97b6cfa381a2

Aliases

arxiv: 0911.2914 · arxiv_version: 0911.2914v1 · doi: 10.48550/arxiv.0911.2914 · pith_short_12: WV2O3YZSZJT3 · pith_short_16: WV2O3YZSZJT3CZ3K · pith_short_8: WV2O3YZS

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/WV2O3YZSZJT3CZ3KXTX5SYYMTO \
  | 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: b574ede332ca67b1676abcefd9630c9b9e9a4e9ee6489031ad8b97b6cfa381a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ecbaa99ae9e770a8e2d1474402fb54f82132f8b8faf7218db5bb38c1ca237be",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-11-15T20:54:13Z",
    "title_canon_sha256": "f9e37a7c326cdc8d0d4deee9d0a8a04d6830486ace72a8808e1bd0160074193c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2914",
    "kind": "arxiv",
    "version": 1
  }
}