Pith Number

pith:3OSAYZ3H

pith:2013:3OSAYZ3HODIQYYF2WQKJQPI2XT

not attested not anchored not stored refs pending

The spt-crank for overpartitions

Chris Jennings-Shaffer, Frank Garvan

arxiv:1311.3680 v3 · 2013-11-14 · 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{3OSAYZ3HODIQYYF2WQKJQPI2XT}

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	2026-05-18T02:31:36.102361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dba40c676770d10c60bab414983d1abcd1ad146bb58c9861fd6772738b5fafdf

Aliases

arxiv: 1311.3680 · arxiv_version: 1311.3680v3 · doi: 10.48550/arxiv.1311.3680 · pith_short_12: 3OSAYZ3HODIQ · pith_short_16: 3OSAYZ3HODIQYYF2 · pith_short_8: 3OSAYZ3H

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/3OSAYZ3HODIQYYF2WQKJQPI2XT \
  | 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: dba40c676770d10c60bab414983d1abcd1ad146bb58c9861fd6772738b5fafdf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34d42310a73e8aa0a5ea70a1d4613ef2b443e03191c2c9ceb2d8ddb6f6997f8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-14T21:51:35Z",
    "title_canon_sha256": "0375847cc409d4b9ba03e626d26ebb16a903eee29b52f2e5c1799a141d64cfa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3680",
    "kind": "arxiv",
    "version": 3
  }
}