Pith Number

pith:Z5H6CHEV

pith:2009:Z5H6CHEVCVCD3V4HVNTJXEPT3V

not attested not anchored not stored refs pending

Extremal properties of (epi)Sturmian sequences and distribution modulo 1

Amy Glen, Jean-Paul Allouche

arxiv:0907.2430 v1 · 2009-07-14 · math.NT · 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{Z5H6CHEVCVCD3V4HVNTJXEPT3V}

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	2026-05-18T04:30:26.600333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf4fe11c9515443dd787ab669b91f3dd696be1cf082ac37718a951f30bf1ae30

Aliases

arxiv: 0907.2430 · arxiv_version: 0907.2430v1 · doi: 10.48550/arxiv.0907.2430 · pith_short_12: Z5H6CHEVCVCD · pith_short_16: Z5H6CHEVCVCD3V4H · pith_short_8: Z5H6CHEV

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/Z5H6CHEVCVCD3V4HVNTJXEPT3V \
  | 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: cf4fe11c9515443dd787ab669b91f3dd696be1cf082ac37718a951f30bf1ae30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "693bcd8643a4ffaff5a817f5e876e6b80fe85737bf6c43fc8b4c4a950697a4ec",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-07-14T19:36:52Z",
    "title_canon_sha256": "18f53ba3c2ab7a3d29235f6c1cae683cd9e2059407e6f48902df0a2d58973669"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2430",
    "kind": "arxiv",
    "version": 1
  }
}