Pith Number

pith:5ZFICZAP

pith:2011:5ZFICZAP6DC4ALVAG4X5ROVE6C

not attested not anchored not stored refs pending

Algebraic formulas for the coefficients of half-integral weight harmonic weak Maass forms

Jan Hendrik Bruinier, Ken Ono

arxiv:1104.1182 v1 · 2011-04-06 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5ZFICZAP6DC4ALVAG4X5ROVE6C}

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	2026-05-18T04:24:52.668064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee4a81640ff0c5c02ea0372fd8baa4f083fef0b578f683c7129f5114b00636fc

Aliases

arxiv: 1104.1182 · arxiv_version: 1104.1182v1 · doi: 10.48550/arxiv.1104.1182 · pith_short_12: 5ZFICZAP6DC4 · pith_short_16: 5ZFICZAP6DC4ALVA · pith_short_8: 5ZFICZAP

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/5ZFICZAP6DC4ALVAG4X5ROVE6C \
  | 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: ee4a81640ff0c5c02ea0372fd8baa4f083fef0b578f683c7129f5114b00636fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "46dc81780f4681c0883676b76ac28d8634a125187601448a2773ebae24a487b8",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-04-06T20:04:56Z",
    "title_canon_sha256": "0c2ce407b9b3bf2f2b4d146e3fb8d9a3d2e9ea128a8582239b13db62bee00f54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.1182",
    "kind": "arxiv",
    "version": 1
  }
}