Pith Number

pith:77IR7LWB

pith:2012:77IR7LWBFQYIU363QJ7L3YH3PP

not attested not anchored not stored refs pending

Abelian Repetitions in Sturmian Words

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

arxiv:1209.6013 v3 · 2012-09-26 · cs.FL · cs.DM · 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{77IR7LWBFQYIU363QJ7L3YH3PP}

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	2026-05-18T03:26:10.255230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffd11faec12c308a6fdb827ebde0fb7bc4bb617f5537f139d0d8d5383505f027

Aliases

arxiv: 1209.6013 · arxiv_version: 1209.6013v3 · doi: 10.48550/arxiv.1209.6013 · pith_short_12: 77IR7LWBFQYI · pith_short_16: 77IR7LWBFQYIU363 · pith_short_8: 77IR7LWB

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/77IR7LWBFQYIU363QJ7L3YH3PP \
  | 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: ffd11faec12c308a6fdb827ebde0fb7bc4bb617f5537f139d0d8d5383505f027

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1648b28ba8ad7d506c0f01e91930b301448194d800de711664ca2ca87c05b34d",
    "cross_cats_sorted": [
      "cs.DM",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.FL",
    "submitted_at": "2012-09-26T17:28:57Z",
    "title_canon_sha256": "4cbdcca6bd6d0e13926cc3270ce179d43a36a60a1378830cef762b6e56232578"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.6013",
    "kind": "arxiv",
    "version": 3
  }
}