Pith Number

pith:TZ364QWA

pith:2017:TZ364QWACC6P2J4O76GPBHMV5Y

not attested not anchored not stored refs pending

Metrical results on the distribution of fractional parts of powers of real numbers

Lingmin Liao (LAMA), Michal Rams (PAN), Yann Bugeaud (IRMA)

arxiv:1710.03596 v1 · 2017-10-10 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZ364QWACC6P2J4O76GPBHMV5Y}

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	2026-05-18T00:33:11.279673Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e77ee42c010bcfd278eff8cf09d95ee014f99849e0e6978a3f353b0b59da2ad

Aliases

arxiv: 1710.03596 · arxiv_version: 1710.03596v1 · doi: 10.48550/arxiv.1710.03596 · pith_short_12: TZ364QWACC6P · pith_short_16: TZ364QWACC6P2J4O · pith_short_8: TZ364QWA

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/TZ364QWACC6P2J4O76GPBHMV5Y \
  | 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: 9e77ee42c010bcfd278eff8cf09d95ee014f99849e0e6978a3f353b0b59da2ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7a0a935d6513cce860ce7c4e184bf050f7d9471dc5c35eedf235e2147dba964",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-10-10T13:51:02Z",
    "title_canon_sha256": "c388380d035348739a01d96c734fb8b4fba28473b5aec78d003197a636c41cf5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.03596",
    "kind": "arxiv",
    "version": 1
  }
}