Pith Number

pith:XXLIDEWF

pith:2025:XXLIDEWFTXXFEROXZUUBJTLWRO

not attested not anchored not stored refs pending

Shifted moments of cubic and quartic Dirichlet $L$-functions

Liangyi Zhao, Peng Gao

arxiv:2508.14534 v2 · 2025-08-20 · 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{XXLIDEWFTXXFEROXZUUBJTLWRO}

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	2026-06-30T02:16:53.994923Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdd68192c59dee5245d7cd2814cd768b89de0d21000f45bea31d0b73b1efefd5

Aliases

arxiv: 2508.14534 · arxiv_version: 2508.14534v2 · doi: 10.48550/arxiv.2508.14534 · pith_short_12: XXLIDEWFTXXF · pith_short_16: XXLIDEWFTXXFEROX · pith_short_8: XXLIDEWF

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/XXLIDEWFTXXFEROXZUUBJTLWRO \
  | 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: bdd68192c59dee5245d7cd2814cd768b89de0d21000f45bea31d0b73b1efefd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20b962f939e53b655db91142180ecfe88638bacbc5e3d716f26c295e0e9235b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-08-20T08:40:35Z",
    "title_canon_sha256": "93b9f4d957524ae9e16cb9ef981e83d3dbd601e8abf04af3b792d798e1113884"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.14534",
    "kind": "arxiv",
    "version": 2
  }
}