Pith Number

pith:5N2MFEPK

pith:2024:5N2MFEPKKVH3FJXBZ5ZNQND4VF

not attested not anchored not stored refs pending

A zero-density estimate for $L$-functions associated with $\rm GL(3)$ Hecke--Maass cusp forms

Hui Wang, Qingfeng Sun

arxiv:2412.02416 v1 · 2024-12-03 · math.NT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5N2MFEPKKVH3FJXBZ5ZNQND4VF}

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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

A Selberg-type zero-density result for twisted $\rm GL_2$ $L$-functions and its application

Receipt and verification

First computed	2026-07-05T09:43:49.458288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb74c291ea554fb2a6e1cf72d8347ca974d5feccdff3b8bb40f1243cea5097df

Aliases

arxiv: 2412.02416 · arxiv_version: 2412.02416v1 · doi: 10.48550/arxiv.2412.02416 · pith_short_12: 5N2MFEPKKVH3 · pith_short_16: 5N2MFEPKKVH3FJXB · pith_short_8: 5N2MFEPK

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/5N2MFEPKKVH3FJXBZ5ZNQND4VF \
  | 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: eb74c291ea554fb2a6e1cf72d8347ca974d5feccdff3b8bb40f1243cea5097df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3c9cf4d400b76fce26d32b2e74e0fb7f336f94f297c179dcd2c45293a87649e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-03T12:29:40Z",
    "title_canon_sha256": "45455e013b93469de975bf1a35d73c6dd939214dfa3b731c10732b4b9a41cb47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.02416",
    "kind": "arxiv",
    "version": 1
  }
}