Pith Number

pith:2474OUFG

pith:2005:2474OUFG62WVXWDZIK5Z3SKIFJ

not attested not anchored not stored refs pending

There are infinitely many limit points of the fractional parts of powers

Art\=uras Dubickas

arxiv:math/0512314 v1 · 2005-12-14 · 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{2474OUFG62WVXWDZIK5Z3SKIFJ}

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	2026-05-18T01:08:50.703281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d73fc750a6f6ad5bd87942bb9dc9482a54adf5d6edaf69e8911f58054d8512b2

Aliases

arxiv: math/0512314 · arxiv_version: math/0512314v1 · doi: 10.48550/arxiv.math/0512314 · pith_short_12: 2474OUFG62WV · pith_short_16: 2474OUFG62WVXWDZ · pith_short_8: 2474OUFG

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/2474OUFG62WVXWDZIK5Z3SKIFJ \
  | 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: d73fc750a6f6ad5bd87942bb9dc9482a54adf5d6edaf69e8911f58054d8512b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0420d7ca5b38bd332121f55ce1084b8a69f810f4f6351350a5420ca7e955c193",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2005-12-14T10:02:19Z",
    "title_canon_sha256": "665d70a29c5c3846fd01a31493d0c87fe32eec63b625de0e423e2ed0ad32e826"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0512314",
    "kind": "arxiv",
    "version": 1
  }
}