Pith Number

pith:BR6I5FLI

pith:2015:BR6I5FLIS2CWZ3EO75SYENDRXA

not attested not anchored not stored refs pending

On Products of Fourier Coefficients of Cusp Forms

Eric Hofmann, Winfried Kohnen

arxiv:1509.02431 v2 · 2015-09-08 · 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{BR6I5FLIS2CWZ3EO75SYENDRXA}

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	2026-05-18T01:12:30.634760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c7c8e956896856cec8eff65823471b832d86df2db2e79f3d96cde5892d9deda

Aliases

arxiv: 1509.02431 · arxiv_version: 1509.02431v2 · doi: 10.48550/arxiv.1509.02431 · pith_short_12: BR6I5FLIS2CW · pith_short_16: BR6I5FLIS2CWZ3EO · pith_short_8: BR6I5FLI

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/BR6I5FLIS2CWZ3EO75SYENDRXA \
  | 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: 0c7c8e956896856cec8eff65823471b832d86df2db2e79f3d96cde5892d9deda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d939a805e7c44ffbd152c67bd11f1f18c416dd102fbe15e71dc6ec35a934dd4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-09-08T16:18:34Z",
    "title_canon_sha256": "e0f39edb0501aed8772cd67f77853b22870e5dc7ce265c5580cc9a45d53a0d30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02431",
    "kind": "arxiv",
    "version": 2
  }
}