Pith Number

pith:N7LPW46J

pith:2026:N7LPW46JH5Y7KPEIRWQLDU54QK

not attested not anchored not stored refs pending

Variance of GL(2) Fourier coefficients in arithmetic progressions

Laurent Montaigu (UB)

arxiv:2603.15197 v2 · 2026-03-16 · 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{N7LPW46JH5Y7KPEIRWQLDU54QK}

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	2026-05-22T01:04:00.248167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fd6fb73c93f71f53c888da0b1d3bc828b2b01e2792172014e088db632ee1c1b

Aliases

arxiv: 2603.15197 · arxiv_version: 2603.15197v2 · doi: 10.48550/arxiv.2603.15197 · pith_short_12: N7LPW46JH5Y7 · pith_short_16: N7LPW46JH5Y7KPEI · pith_short_8: N7LPW46J

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/N7LPW46JH5Y7KPEIRWQLDU54QK \
  | 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: 6fd6fb73c93f71f53c888da0b1d3bc828b2b01e2792172014e088db632ee1c1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "798b4247ed4fdd4b3a89b9ba062d86c55d6c81c89caa9869e0c94029db75b461",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-03-16T12:36:40Z",
    "title_canon_sha256": "421b7198b7fb2405553aaec80b49d2507e421342dd8b7a84dc2d88be1bb0d2c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.15197",
    "kind": "arxiv",
    "version": 2
  }
}