Pith Number

pith:XQ6S4VME

pith:2014:XQ6S4VMESUIBEOVSZAOVDE3NNV

not attested not anchored not stored refs pending

The mean square of the product of $\zeta(s)$ with Dirichlet polynomials

Maksym Radziwill, Sandro Bettin, Vorrapan Chandee

arxiv:1411.7764 v1 · 2014-11-28 · 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{XQ6S4VMESUIBEOVSZAOVDE3NNV}

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	2026-05-18T02:32:37.283183Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc3d2e55849510123ab2c81d51936d6d4576e42c03bd3e942dd1d8f974eadf80

Aliases

arxiv: 1411.7764 · arxiv_version: 1411.7764v1 · doi: 10.48550/arxiv.1411.7764 · pith_short_12: XQ6S4VMESUIB · pith_short_16: XQ6S4VMESUIBEOVS · pith_short_8: XQ6S4VME

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/XQ6S4VMESUIBEOVSZAOVDE3NNV \
  | 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: bc3d2e55849510123ab2c81d51936d6d4576e42c03bd3e942dd1d8f974eadf80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "741ebad0f6b0d8276ef07654a55d2c76d8c5595f925824f40b1c66425242a5e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-28T07:09:18Z",
    "title_canon_sha256": "74ed9322d613dceb7e71ce675bc34fe1ab7898814713e74a32581c8af09d11af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7764",
    "kind": "arxiv",
    "version": 1
  }
}