Pith Number

pith:GTRZRG3L

pith:2025:GTRZRG3LDXPJPMTT7SHYH2EKAT

not attested not anchored not stored refs pending

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

Alessandro Fazzari, Maxim Gerspach, Paolo Minelli

arxiv:2507.04150 v1 · 2025-07-05 · 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{GTRZRG3LDXPJPMTT7SHYH2EKAT}

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	2026-07-05T11:32:42.792980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34e3989b6b1dde97b273fc8f83e88a04ea00e7a9b6ef3234f59cf7a679ee4eae

Aliases

arxiv: 2507.04150 · arxiv_version: 2507.04150v1 · doi: 10.48550/arxiv.2507.04150 · pith_short_12: GTRZRG3LDXPJ · pith_short_16: GTRZRG3LDXPJPMTT · pith_short_8: GTRZRG3L

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/GTRZRG3LDXPJPMTT7SHYH2EKAT \
  | 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: 34e3989b6b1dde97b273fc8f83e88a04ea00e7a9b6ef3234f59cf7a679ee4eae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53bf93deb661ee5e166bd9359222984b777835c897cff74b83d1ca20730b9f6f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-07-05T20:08:01Z",
    "title_canon_sha256": "908fdc9203665c9f929444ab99e11f4b96fe0730c931e896272c9c95468cbfa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.04150",
    "kind": "arxiv",
    "version": 1
  }
}