Pith Number

pith:7NR6TPMD

pith:2010:7NR6TPMDPH5Z46MVT2YQCTQ4SF

not attested not anchored not stored refs pending

On fractional parts of powers of real numbers close to 1

Nikolay Moshchevitin, Yann Bugeaud

arxiv:1009.4528 v1 · 2010-09-23 · 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{7NR6TPMDPH5Z46MVT2YQCTQ4SF}

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	2026-05-18T04:40:30.224962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb63e9bd8379fb9e79959eb1014e1c9161ca8a4a9a671299f5f284cdbd7ed731

Aliases

arxiv: 1009.4528 · arxiv_version: 1009.4528v1 · doi: 10.48550/arxiv.1009.4528 · pith_short_12: 7NR6TPMDPH5Z · pith_short_16: 7NR6TPMDPH5Z46MV · pith_short_8: 7NR6TPMD

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/7NR6TPMDPH5Z46MVT2YQCTQ4SF \
  | 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: fb63e9bd8379fb9e79959eb1014e1c9161ca8a4a9a671299f5f284cdbd7ed731

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73512c927d341a0f71a46c4c4c1f06799bf37b2eeac6b75e1b9ed79a276a1e1f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-23T06:47:41Z",
    "title_canon_sha256": "dfba813eb161b89d7c04d22edbd0a8e20c3acce44b9b1b74620eb0a3efaca722"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.4528",
    "kind": "arxiv",
    "version": 1
  }
}