Pith Number

pith:ZNQ676PJ

pith:2019:ZNQ676PJOVPDBZ3TWDKYH5QMDB

not attested not anchored not stored refs pending

Motohashi's fourth moment identity for non-archimedean test functions and applications

Micah Milinovich, Peter Humphries, Rizwanur Khan, Valentin Blomer

arxiv:1902.07042 v1 · 2019-02-19 · 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{ZNQ676PJOVPDBZ3TWDKYH5QMDB}

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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	2026-07-05T00:57:03.986006Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb61eff9e9755e30e773b0d583f60c1842a2a5324e2da2e6d91ce56e4fdadacb

Aliases

arxiv: 1902.07042 · arxiv_version: 1902.07042v1 · doi: 10.48550/arxiv.1902.07042 · pith_short_12: ZNQ676PJOVPD · pith_short_16: ZNQ676PJOVPDBZ3T · pith_short_8: ZNQ676PJ

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/ZNQ676PJOVPDBZ3TWDKYH5QMDB \
  | 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: cb61eff9e9755e30e773b0d583f60c1842a2a5324e2da2e6d91ce56e4fdadacb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5fdcda0f3a59da9b510f5786e79f2d86f59974108bda852fa3e65da7b7a3da9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-02-19T13:28:02Z",
    "title_canon_sha256": "f5ccea4144d56ee0c526eeae553847b859ad911689c45d4678eb574d6e03d7eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.07042",
    "kind": "arxiv",
    "version": 1
  }
}