Pith Number

pith:JYOIGD7K

pith:2013:JYOIGD7KRKAMGRM43IRM2RCWJU

not attested not anchored not stored refs pending

Distribution modulo one and diophantine approximation by Yann Bugeaud

Jean-Paul Allouche

arxiv:1312.1065 v1 · 2013-12-04 · 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{JYOIGD7KRKAMGRM43IRM2RCWJU}

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	2026-05-18T03:05:35.036914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4e1c830fea8a80c3459cda22cd44564d25a7fa3241aa3904771394f85ff9689c

Aliases

arxiv: 1312.1065 · arxiv_version: 1312.1065v1 · doi: 10.48550/arxiv.1312.1065 · pith_short_12: JYOIGD7KRKAM · pith_short_16: JYOIGD7KRKAMGRM4 · pith_short_8: JYOIGD7K

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/JYOIGD7KRKAMGRM43IRM2RCWJU \
  | 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: 4e1c830fea8a80c3459cda22cd44564d25a7fa3241aa3904771394f85ff9689c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "205c85de6c3b77757d46e8cfdda566d505c1a5561da72a5009f5177839051088",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-04T09:03:56Z",
    "title_canon_sha256": "d056dade8c3f7eb08af42cb1711f8e29e51364b6ce021c20d0f3a59df049f0b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1065",
    "kind": "arxiv",
    "version": 1
  }
}