Pith Number

pith:CP42ARNX

pith:2021:CP42ARNXLC5NIZC7GLHSJX52RO

not attested not anchored not stored refs pending

On the value-distribution of iterated integrals of the logarithm of the Riemann zeta-function II: probabilistic aspects

Kenta Endo, Masahiro Mine, Sh\=ota Inoue

arxiv:2105.04781 v1 · 2021-05-11 · math.NT · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CP42ARNXLC5NIZC7GLHSJX52RO}

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	2026-07-05T02:39:24.110050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13f9a045b758bad4645f32cf24dfba8b9c22360bcdbd2a48c18df5a51dfa6334

Aliases

arxiv: 2105.04781 · arxiv_version: 2105.04781v1 · doi: 10.48550/arxiv.2105.04781 · pith_short_12: CP42ARNXLC5N · pith_short_16: CP42ARNXLC5NIZC7 · pith_short_8: CP42ARNX

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/CP42ARNXLC5NIZC7GLHSJX52RO \
  | 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: 13f9a045b758bad4645f32cf24dfba8b9c22360bcdbd2a48c18df5a51dfa6334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca1395e4cc287261abcd58c4cbd1a3935a5f1c82d7ea579a9beedda394c53e1b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-05-11T04:56:04Z",
    "title_canon_sha256": "f2ee7594037fa38403ef5e10dc441bc7a370db857d88cb1368965322f4bd2fae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.04781",
    "kind": "arxiv",
    "version": 1
  }
}