Pith Number

pith:OEXQ5TXU

pith:2013:OEXQ5TXUGHBZ3E6FVXSHBGDWF4

not attested not anchored not stored refs pending

The spt-Crank for Ordinary Partitions

Kathy Q. Ji, Wenston J.T. Zang, William Y.C. Chen

arxiv:1308.3012 v1 · 2013-08-14 · math.CO · 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{OEXQ5TXUGHBZ3E6FVXSHBGDWF4}

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	2026-05-18T03:15:56.907041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

712f0ecef431c39d93c5ade47098762f2dd7c56cbebcbf95984cd71652af4904

Aliases

arxiv: 1308.3012 · arxiv_version: 1308.3012v1 · doi: 10.48550/arxiv.1308.3012 · pith_short_12: OEXQ5TXUGHBZ · pith_short_16: OEXQ5TXUGHBZ3E6F · pith_short_8: OEXQ5TXU

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/OEXQ5TXUGHBZ3E6FVXSHBGDWF4 \
  | 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: 712f0ecef431c39d93c5ade47098762f2dd7c56cbebcbf95984cd71652af4904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a6f9c9d655eab2a4596f7674b5eed86e68154ef02037f5abe1b6f3b8841585",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-14T02:11:50Z",
    "title_canon_sha256": "10ee0daf703dd43ff1074584fa4e7cf95df5a95a56318f74bb1d0ab66477ee09"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3012",
    "kind": "arxiv",
    "version": 1
  }
}