Pith Number

pith:YJQQCI2M

pith:2014:YJQQCI2M4STFJY3HTSC44QDRBG

not attested not anchored not stored refs pending

Rank and Crank Moments for Partitions without Repeated Odd Parts

Chris Jennings-Shaffer

arxiv:1404.1883 v2 · 2014-04-07 · 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{YJQQCI2M4STFJY3HTSC44QDRBG}

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	2026-05-18T02:44:47.171530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c26101234ce4a654e3679c85ce407109b847aa9f04884e2fad20ad7633ba1d51

Aliases

arxiv: 1404.1883 · arxiv_version: 1404.1883v2 · doi: 10.48550/arxiv.1404.1883 · pith_short_12: YJQQCI2M4STF · pith_short_16: YJQQCI2M4STFJY3H · pith_short_8: YJQQCI2M

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/YJQQCI2M4STFJY3HTSC44QDRBG \
  | 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: c26101234ce4a654e3679c85ce407109b847aa9f04884e2fad20ad7633ba1d51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "532d084db774e5dc53f5afeb78acdee707286cc6034de9f42066ee0e5da3ccfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-07T19:00:32Z",
    "title_canon_sha256": "67af5e16ffdd3b65f1f20d209617ab71cbd75c7896f467ec642d753f829d37a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1883",
    "kind": "arxiv",
    "version": 2
  }
}