Pith Number

pith:WJRO3KOP

pith:2018:WJRO3KOP4A7WA4ADW5V3RM6PMG

not attested not anchored not stored refs pending

The mean square of the product of a Dirichlet $L$-function and a Dirichlet polynomial

Brian Conrey, Henryk Iwaniec, Kannan Soundararajan

arxiv:1808.02879 v1 · 2018-08-08 · 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{WJRO3KOP4A7WA4ADW5V3RM6PMG}

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.

Receipt and verification

First computed	2026-05-18T00:08:31.915573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b262eda9cfe03f607003b76bb8b3cf61bd220b1dafd0b6ab739ffab91587ae05

Aliases

arxiv: 1808.02879 · arxiv_version: 1808.02879v1 · doi: 10.48550/arxiv.1808.02879 · pith_short_12: WJRO3KOP4A7W · pith_short_16: WJRO3KOP4A7WA4AD · pith_short_8: WJRO3KOP

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/WJRO3KOP4A7WA4ADW5V3RM6PMG \
  | 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: b262eda9cfe03f607003b76bb8b3cf61bd220b1dafd0b6ab739ffab91587ae05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae2a0e6daa0f4cd19ffdcd199203de10890e67474c5916688e4a12af87bb0683",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-08-08T17:49:19Z",
    "title_canon_sha256": "930ad2232cff9148d898c8d0515c7b833fa165cca45b07921ca8eb21abf52409"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.02879",
    "kind": "arxiv",
    "version": 1
  }
}