Pith Number

pith:BS4AJU3U

pith:2025:BS4AJU3UUDDGTYPFYKYJ4E2RO5

not attested not anchored not stored refs pending

Twisted second moment of primitive cubic L-functions

Zhiyong Zheng, Ziwei Hong

arxiv:2506.14656 v1 · 2025-06-17 · 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{BS4AJU3UUDDGTYPFYKYJ4E2RO5}

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

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

Receipt and verification

First computed	2026-07-05T11:27:47.707093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0cb804d374a0c669e1e5c2b09e1351777fee3f41fec79c54099b86f0d06680cf

Aliases

arxiv: 2506.14656 · arxiv_version: 2506.14656v1 · doi: 10.48550/arxiv.2506.14656 · pith_short_12: BS4AJU3UUDDG · pith_short_16: BS4AJU3UUDDGTYPF · pith_short_8: BS4AJU3U

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/BS4AJU3UUDDGTYPFYKYJ4E2RO5 \
  | 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: 0cb804d374a0c669e1e5c2b09e1351777fee3f41fec79c54099b86f0d06680cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ce45164e1a8beb0166093e94398bfd7f06739ab4e6d9e083c8955162d745136",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-06-17T15:49:53Z",
    "title_canon_sha256": "e2a4d19d663ef0377154d2fbfd4b2b482643f7f56b8d21639d08e4efdbcc19f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.14656",
    "kind": "arxiv",
    "version": 1
  }
}