Pith Number

pith:JECMZWIX

pith:2024:JECMZWIXMMZNOPF5FVBFVEAUZP

not attested not anchored not stored refs pending

Bounds for Moments of Twisted Fourier coefficients of Modular Forms

Liangyi Zhao, Peng Gao

arxiv:2412.12515 v1 · 2024-12-17 · 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{JECMZWIXMMZNOPF5FVBFVEAUZP}

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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.

Cited by

1 paper in Pith

Mean squares of quadratic twists of the Fourier coefficients of modular forms

Receipt and verification

First computed	2026-07-05T09:50:16.206645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4904ccd9176332d73cbd2d425a9014cbcf04f874b944bf210dd3da9c30f4bb0a

Aliases

arxiv: 2412.12515 · arxiv_version: 2412.12515v1 · doi: 10.48550/arxiv.2412.12515 · pith_short_12: JECMZWIXMMZN · pith_short_16: JECMZWIXMMZNOPF5 · pith_short_8: JECMZWIX

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/JECMZWIXMMZNOPF5FVBFVEAUZP \
  | 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: 4904ccd9176332d73cbd2d425a9014cbcf04f874b944bf210dd3da9c30f4bb0a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc1fe9717f608c7b99d37e53786858e1d74ebf2b04cbf53fe8465229fb29d101",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-17T04:09:05Z",
    "title_canon_sha256": "e0b0a7d240897b848db0ab07af3de726b5f183d8d34e9d1823a1d4fe3fbe8a0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.12515",
    "kind": "arxiv",
    "version": 1
  }
}