Pith Number

pith:25Q6TTJH

pith:2026:25Q6TTJHCW5OGNQZZIXDNMWT4I

not attested not anchored not stored refs pending

On the second moment and non-vanishing of central values of Hecke $L$-functions of $r$-th order characters

Adrian Diaconu, Alexandru A. Popa, Bogdan Ion, Vicen\c{t}iu Pa\c{s}ol

arxiv:2607.27131 v1 · 2026-07-29 · math.NT

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{25Q6TTJHCW5OGNQZZIXDNMWT4I}

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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

Average analytic rank for the $L$-functions of the elliptic curves $y^2=x^3-dx$

Receipt and verification

First computed	2026-07-30T01:23:49.617729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

d761e9cd2715bae33619ca2e36b2d3e2003dcd3683b374653647488c17d17a93

Aliases

arxiv: 2607.27131 · arxiv_version: 2607.27131v1 · doi: 10.48550/arxiv.2607.27131 · pith_short_12: 25Q6TTJHCW5O · pith_short_16: 25Q6TTJHCW5OGNQZ · pith_short_8: 25Q6TTJH

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/25Q6TTJHCW5OGNQZZIXDNMWT4I \
  | 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: d761e9cd2715bae33619ca2e36b2d3e2003dcd3683b374653647488c17d17a93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "432a6cb586d2d444fa55ee13cbb1e21e5eca0965ed9db2f47fbf308eabb3a864",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-29T17:01:57Z",
    "title_canon_sha256": "86aed25bf53131320deac4aa6b51702f81f86b7b24081aa075c11cc8e28c4766"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27131",
    "kind": "arxiv",
    "version": 1
  }
}