Pith Number

pith:OYRVQBJQ

pith:2015:OYRVQBJQ72YHEKVILXRED5OKVH

not attested not anchored not stored refs pending

Abelian Powers and Repetitions in Sturmian Words

Alessio Langiu, Arnaud Lefebvre, \'Elise Prieur-Gaston, Filippo Mignosi, Gabriele Fici, Jarkko Peltom\"aki, Thierry Lecroq

arxiv:1506.02797 v4 · 2015-06-09 · math.CO · cs.DM · cs.FL · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OYRVQBJQ72YHEKVILXRED5OKVH}

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	2026-05-18T01:17:00.720606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7623580530feb0722aa85de241f5caa9fb273841de1a2c11b1572f11e0af38ad

Aliases

arxiv: 1506.02797 · arxiv_version: 1506.02797v4 · doi: 10.48550/arxiv.1506.02797 · pith_short_12: OYRVQBJQ72YH · pith_short_16: OYRVQBJQ72YHEKVI · pith_short_8: OYRVQBJQ

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/OYRVQBJQ72YHEKVILXRED5OKVH \
  | 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: 7623580530feb0722aa85de241f5caa9fb273841de1a2c11b1572f11e0af38ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30013e329baf88719be61f8bb5ce7031d3100ba7c0f1e1d19dce24420c9b6be4",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.FL",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-06-09T06:44:57Z",
    "title_canon_sha256": "9cc46eed97f206580d468fadcb38fc7887f4b20d3a1d05bbc844392a6893d35c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02797",
    "kind": "arxiv",
    "version": 4
  }
}