Pith Number

pith:SHWABU4F

pith:2013:SHWABU4FWZTKNA2SJT4K44JSI4

not attested not anchored not stored refs pending

Binary Quadratic forms and the Fourier coefficients of certain weight 1 eta-quotients

Alexander Berkovich, Frank Patane

arxiv:1302.2359 v4 · 2013-02-10 · 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{SHWABU4FWZTKNA2SJT4K44JSI4}

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	2026-05-18T03:15:45.196255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91ec00d385b666a683524cf8ae71324736f190ed08d30e879082cfa6e4a1a680

Aliases

arxiv: 1302.2359 · arxiv_version: 1302.2359v4 · doi: 10.48550/arxiv.1302.2359 · pith_short_12: SHWABU4FWZTK · pith_short_16: SHWABU4FWZTKNA2S · pith_short_8: SHWABU4F

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/SHWABU4FWZTKNA2SJT4K44JSI4 \
  | 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: 91ec00d385b666a683524cf8ae71324736f190ed08d30e879082cfa6e4a1a680

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3b5a6670b008ca94be56ad7cbf870b688236974efc448dbcd03d86eeb6d6367",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-02-10T20:28:49Z",
    "title_canon_sha256": "111a6382e43926b9515cfa69f709a9e4a4464a34db6089aff964add696976448"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2359",
    "kind": "arxiv",
    "version": 4
  }
}