Pith Number

pith:4ZLDKSZN

pith:2024:4ZLDKSZNHSAL5QKKPPX5YR7WP2

not attested not anchored not stored refs pending

The third moment of the logarithm of zeta and a twisted pair correlation conjecture

Alessandro Fazzari, Maxim Gerspach

arxiv:2412.20099 v1 · 2024-12-28 · 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{4ZLDKSZNHSAL5QKKPPX5YR7WP2}

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

Selberg's Central Limit Theorem weighted by Linear Statistics of Zeta Zeros

Receipt and verification

First computed	2026-07-05T09:54:54.604156Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e656354b2d3c80bec14a7befdc47f67e897fa7c6d7b70752db77de4b445e9647

Aliases

arxiv: 2412.20099 · arxiv_version: 2412.20099v1 · doi: 10.48550/arxiv.2412.20099 · pith_short_12: 4ZLDKSZNHSAL · pith_short_16: 4ZLDKSZNHSAL5QKK · pith_short_8: 4ZLDKSZN

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/4ZLDKSZNHSAL5QKKPPX5YR7WP2 \
  | 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: e656354b2d3c80bec14a7befdc47f67e897fa7c6d7b70752db77de4b445e9647

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22cc4269deec5a54bf3a5b0c283483f0f24c7e17b115f7dbb820d6a390adf11f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2024-12-28T09:48:28Z",
    "title_canon_sha256": "51660ef91d880b7544e964f04c91b67eb399760495c40497a62c068c359bd795"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.20099",
    "kind": "arxiv",
    "version": 1
  }
}