Pith Number

pith:7JH24KSF

pith:2024:7JH24KSF2RYZFE5WHO3I3AQEWL

not attested not anchored not stored refs pending

The sixth moment of Dirichlet L-functions at the central point

Kaisa Matom\"aki, Maksym Radziwi{\l}{\l}, Vorrapan Chandee, Xiannan Li

arxiv:2409.01457 v1 · 2024-09-02 · 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{7JH24KSF2RYZFE5WHO3I3AQEWL}

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.

Cited by

2 papers in Pith

Critical Zeros and Unconditional Mean Value Theorems for twisted $\hbox{PGL}(2)$ and $\hbox{PGL}(3)$ $\mathrm{L}$-functions

Simultaneous non-vanishing of Dirichlet L-functions

Receipt and verification

First computed	2026-07-05T09:02:29.289098Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa4fae2a45d4719293b63bb68d8204b2ee61949c89e5e993d1ef549f7d120e1a

Aliases

arxiv: 2409.01457 · arxiv_version: 2409.01457v1 · doi: 10.48550/arxiv.2409.01457 · pith_short_12: 7JH24KSF2RYZ · pith_short_16: 7JH24KSF2RYZFE5W · pith_short_8: 7JH24KSF

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/7JH24KSF2RYZFE5WHO3I3AQEWL \
  | 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: fa4fae2a45d4719293b63bb68d8204b2ee61949c89e5e993d1ef549f7d120e1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5995a841133fd75f35ec53181806d957d843b1aeda049671ecf82c7a6daad7a6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-09-02T20:40:33Z",
    "title_canon_sha256": "9cdc228e217c4d48193fb7f8d91c859d91beea4a69638249b42dd59f09ae13f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.01457",
    "kind": "arxiv",
    "version": 1
  }
}