Pith Number

pith:KRUEURNV

pith:2013:KRUEURNVIQQMLVUTTBE74FS5L3

not attested not anchored not stored refs pending

Hecke-type congruences for Andrews' spt-function modulo 16 and 32

Chris Jennings-Shaffer, Frank Garvan

arxiv:1306.1521 v2 · 2013-06-06 · 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{KRUEURNVIQQMLVUTTBE74FS5L3}

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	2026-05-18T03:12:34.750464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54684a45b54420c5d6939849fe165d5ee829729174032caf1d717b1e89aabbe3

Aliases

arxiv: 1306.1521 · arxiv_version: 1306.1521v2 · doi: 10.48550/arxiv.1306.1521 · pith_short_12: KRUEURNVIQQM · pith_short_16: KRUEURNVIQQMLVUT · pith_short_8: KRUEURNV

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/KRUEURNVIQQMLVUTTBE74FS5L3 \
  | 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: 54684a45b54420c5d6939849fe165d5ee829729174032caf1d717b1e89aabbe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f91635da04f895b794477beac701c0b0cfaa5c56a9e0ad42f755c832f8f890e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-06T19:28:40Z",
    "title_canon_sha256": "0c7fceab4adbc47f7a4da813b66314573770ac9b8129a99a1fb04c80a2643ee4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1521",
    "kind": "arxiv",
    "version": 2
  }
}