Pith Number

pith:6AXDKK3C

pith:2025:6AXDKK3CNJZEHD7P2VMRG6TYTN

not attested not anchored not stored refs pending

The first moment of central value of primitive quartic $L$-functions with fixed genus

Ziwei Hong

arxiv:2504.14291 v4 · 2025-04-19 · 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{6AXDKK3CNJZEHD7P2VMRG6TYTN}

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

1 paper in Pith

Twisted second moment of primitive cubic L-functions

Receipt and verification

First computed	2026-06-11T01:09:12.270021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f02e352b626a72438fefd559137a789b7d4e8cf8252a71d41b391bdfc566958d

Aliases

arxiv: 2504.14291 · arxiv_version: 2504.14291v4 · doi: 10.48550/arxiv.2504.14291 · pith_short_12: 6AXDKK3CNJZE · pith_short_16: 6AXDKK3CNJZEHD7P · pith_short_8: 6AXDKK3C

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/6AXDKK3CNJZEHD7P2VMRG6TYTN \
  | 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: f02e352b626a72438fefd559137a789b7d4e8cf8252a71d41b391bdfc566958d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "241e6a5beec8b765a7ca36add5cfbfbb890f4a96a127b7819e891ae89e307193",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-04-19T13:33:31Z",
    "title_canon_sha256": "01c8b7b76422905210b6b83faa9a322736314bdb8c405d59d7562040f850d089"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.14291",
    "kind": "arxiv",
    "version": 4
  }
}