Pith Number

pith:WVPH2ZM7

pith:2019:WVPH2ZM7LXHVHSJKXBBOSU32YA

not attested not anchored not stored refs pending

Twelfth moment of Dirichlet L-functions to prime power moduli

Daniel White, Djordje Mili\'cevi\'c

arxiv:1908.04833 v2 · 2019-08-13 · 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{WVPH2ZM7LXHVHSJKXBBOSU32YA}

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

The fourth moment of Dirichlet $L$-functions along a coset and the Weyl bound

Receipt and verification

First computed	2026-07-05T01:11:41.219379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b55e7d659f5dcf53c92ab842e9537ac00e84010ff46906b7ebaf601e79e18a23

Aliases

arxiv: 1908.04833 · arxiv_version: 1908.04833v2 · doi: 10.48550/arxiv.1908.04833 · pith_short_12: WVPH2ZM7LXHV · pith_short_16: WVPH2ZM7LXHVHSJK · pith_short_8: WVPH2ZM7

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/WVPH2ZM7LXHVHSJKXBBOSU32YA \
  | 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: b55e7d659f5dcf53c92ab842e9537ac00e84010ff46906b7ebaf601e79e18a23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5828e5a942fc8323f7b1cc5bf5d4bcad87eb504a325399b15f75fd15dc524509",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-13T19:11:40Z",
    "title_canon_sha256": "927055ac2736626c25918e8bffc9d88bdab71681374daa1453f3fdae5c2d66b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04833",
    "kind": "arxiv",
    "version": 2
  }
}