Pith Number

pith:CH3OA7WN

pith:2013:CH3OA7WNVRFPQ5OLCDIOU2MLTC

not attested not anchored not stored refs pending

Fourier coefficients of GL(N) automorphic forms in arithmetic progressions

Emmanuel Kowalski, Guillaume Ricotta

arxiv:1310.5223 v3 · 2013-10-19 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CH3OA7WNVRFPQ5OLCDIOU2MLTC}

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	2026-05-18T02:49:53.998482Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11f6e07ecdac4af875cb10d0ea698b9891302a014967ae319a77b092b3b0794b

Aliases

arxiv: 1310.5223 · arxiv_version: 1310.5223v3 · doi: 10.48550/arxiv.1310.5223 · pith_short_12: CH3OA7WNVRFP · pith_short_16: CH3OA7WNVRFPQ5OL · pith_short_8: CH3OA7WN

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/CH3OA7WNVRFPQ5OLCDIOU2MLTC \
  | 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: 11f6e07ecdac4af875cb10d0ea698b9891302a014967ae319a77b092b3b0794b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2828f31e8f9eb4cd30e67db9d4e9436b14ecb7a096b31dd28d777cf175749cbd",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-19T12:38:13Z",
    "title_canon_sha256": "fed1e411bbd4e5898b7de6040d29e3642826132a8f7b0464c0f0d83ac26fb1ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5223",
    "kind": "arxiv",
    "version": 3
  }
}