Pith Number

pith:IALS7RBL

pith:2015:IALS7RBLLIJMLFXGJM2J5M4UOI

not attested not anchored not stored refs pending

A note on the Liouville function in short intervals

Kaisa Matom\"aki, Maksym Radziwi{\l}{\l}

arxiv:1502.02374 v1 · 2015-02-09 · 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{IALS7RBLLIJMLFXGJM2J5M4UOI}

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

On the second integral moment of $L$-functions

Receipt and verification

First computed	2026-05-18T02:27:42.661408Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40172fc42b5a12c596e64b349eb394723406e707c77765a4cd2fec7ab57eb2a8

Aliases

arxiv: 1502.02374 · arxiv_version: 1502.02374v1 · doi: 10.48550/arxiv.1502.02374 · pith_short_12: IALS7RBLLIJM · pith_short_16: IALS7RBLLIJMLFXG · pith_short_8: IALS7RBL

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/IALS7RBLLIJMLFXGJM2J5M4UOI \
  | 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: 40172fc42b5a12c596e64b349eb394723406e707c77765a4cd2fec7ab57eb2a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "584c1ba5baef8f97bb6ab1cc0d1381131a67062cd9577185c49a6ab7fc1c2659",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-02-09T06:22:13Z",
    "title_canon_sha256": "3cbb6e6c85006ccab787ba26b3a8ca4e56c796407140a441b39579a7844abd1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02374",
    "kind": "arxiv",
    "version": 1
  }
}