Pith Number

pith:ILTCHWVR

pith:2025:ILTCHWVRRHILJGTOVCD5YBQYDK

not attested not anchored not stored refs pending

Mean value of cubic $L$-funcitons with fixed genus

Zhongqiu Fang, Ziwei Hong

arxiv:2503.17228 v3 · 2025-03-21 · 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{ILTCHWVRRHILJGTOVCD5YBQYDK}

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	2026-07-05T11:28:15.232573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

42e623dab189d0b49a6ea887dc06181a8f93fd12f237ff8bdfe279c0c1233ac6

Aliases

arxiv: 2503.17228 · arxiv_version: 2503.17228v3 · doi: 10.48550/arxiv.2503.17228 · pith_short_12: ILTCHWVRRHIL · pith_short_16: ILTCHWVRRHILJGTO · pith_short_8: ILTCHWVR

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/ILTCHWVRRHILJGTOVCD5YBQYDK \
  | 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: 42e623dab189d0b49a6ea887dc06181a8f93fd12f237ff8bdfe279c0c1233ac6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e2918546b4c1539e512eeea81a767b4456b0e55a044ecf96f6c2f01d357692b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-03-21T15:31:37Z",
    "title_canon_sha256": "68dd18866b8b9b81655d4a0984141a72af9bce8268bdd9bb527c71569ad3e114"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.17228",
    "kind": "arxiv",
    "version": 3
  }
}