Pith Number

pith:DEJLDMAA

pith:2018:DEJLDMAAQCQDLS34OCLW4UJ3F6

not attested not anchored not stored refs pending

Short proof of Rademacher's formula for partitions

Brandon Williams, Wladimir de Azevedo Pribitkin

arxiv:1801.06244 v3 · 2018-01-18 · 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{DEJLDMAAQCQDLS34OCLW4UJ3F6}

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	2026-05-18T00:00:30.712948Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1912b1b00080a035cb7c70976e513b2fbf7a5a47bacd2e48bf37ee880269fb69

Aliases

arxiv: 1801.06244 · arxiv_version: 1801.06244v3 · doi: 10.48550/arxiv.1801.06244 · pith_short_12: DEJLDMAAQCQD · pith_short_16: DEJLDMAAQCQDLS34 · pith_short_8: DEJLDMAA

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/DEJLDMAAQCQDLS34OCLW4UJ3F6 \
  | 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: 1912b1b00080a035cb7c70976e513b2fbf7a5a47bacd2e48bf37ee880269fb69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49f23a8886441edf4cd6606bcb38f37fd90136203aa7eaf0268522b07e9d4ab8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-01-18T22:00:11Z",
    "title_canon_sha256": "3ae0230ccef5271240f6806df5cf420095c2fe75ee0e6bc039e08bcad0c270b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06244",
    "kind": "arxiv",
    "version": 3
  }
}