Pith Number

pith:RDF6RN6S

pith:2013:RDF6RN6SBUJACQ77AFWSHUI7KO

not attested not anchored not stored refs pending

Disproof of a conjecture by Rademacher on partial fractions

Michael Drmota, Stefan Gerhold

arxiv:1312.4289 v1 · 2013-12-16 · 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{RDF6RN6SBUJACQ77AFWSHUI7KO}

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	2026-05-18T03:04:34.987098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88cbe8b7d20d120143ff016d23d11f538f4634a0c744ab8d5ffda058ecef5d06

Aliases

arxiv: 1312.4289 · arxiv_version: 1312.4289v1 · doi: 10.48550/arxiv.1312.4289 · pith_short_12: RDF6RN6SBUJA · pith_short_16: RDF6RN6SBUJACQ77 · pith_short_8: RDF6RN6S

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/RDF6RN6SBUJACQ77AFWSHUI7KO \
  | 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: 88cbe8b7d20d120143ff016d23d11f538f4634a0c744ab8d5ffda058ecef5d06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d473c6ae48f8de70b82956189a4a7efbc00ae46fa143ecd217a1b620ec73e3e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-12-16T10:15:41Z",
    "title_canon_sha256": "41cb124f244071a99634a3bb08bcf0f354a2d61df11155f532af6ee2d61c5e9d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4289",
    "kind": "arxiv",
    "version": 1
  }
}