Pith Number

pith:DMPJWSGO

pith:2015:DMPJWSGOLSRTSXF5ETE6K4SPXD

not attested not anchored not stored refs pending

Asymptotics for the partial fractions of the restricted partition generating function I

Cormac O'Sullivan

arxiv:1507.07975 v1 · 2015-07-28 · 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{DMPJWSGOLSRTSXF5ETE6K4SPXD}

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	2026-05-18T01:36:08.781436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b1e9b48ce5ca3395cbd24c9e5724fb8e8ae305282805d3ba1036939535f9230

Aliases

arxiv: 1507.07975 · arxiv_version: 1507.07975v1 · doi: 10.48550/arxiv.1507.07975 · pith_short_12: DMPJWSGOLSRT · pith_short_16: DMPJWSGOLSRTSXF5 · pith_short_8: DMPJWSGO

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/DMPJWSGOLSRTSXF5ETE6K4SPXD \
  | 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: 1b1e9b48ce5ca3395cbd24c9e5724fb8e8ae305282805d3ba1036939535f9230

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a74e4ee8e2c83cf456bbd43283a89462dfbaa522a962121a7cd0d787d998dcee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-07-28T22:32:32Z",
    "title_canon_sha256": "31d12529834da041fcd536c65eaa1f0f9c2c8993160203e265ed53c939ea0b30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07975",
    "kind": "arxiv",
    "version": 1
  }
}