Pith Number

pith:Q4VLEKZW

pith:2009:Q4VLEKZWI7ALSI4SZ5AYZVOKEK

not attested not anchored not stored refs pending

Mod-Gaussian convergence and the value distribution of $\zeta(1/2+it)$ and related quantities

A. Nikeghbali, E. Kowalski

arxiv:0912.3237 v3 · 2009-12-16 · 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{Q4VLEKZWI7ALSI4SZ5AYZVOKEK}

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	2026-05-18T02:58:02.537200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

872ab22b3647c0b92392cf418cd5ca22ba1ac4326b177e39230df0e045467a05

Aliases

arxiv: 0912.3237 · arxiv_version: 0912.3237v3 · doi: 10.48550/arxiv.0912.3237 · pith_short_12: Q4VLEKZWI7AL · pith_short_16: Q4VLEKZWI7ALSI4S · pith_short_8: Q4VLEKZW

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/Q4VLEKZWI7ALSI4SZ5AYZVOKEK \
  | 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: 872ab22b3647c0b92392cf418cd5ca22ba1ac4326b177e39230df0e045467a05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55c6c92ccb0c43136d5e2d04b2ac6babc9da7526fc0a3b5213b8b3f90deaed1b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-12-16T19:39:12Z",
    "title_canon_sha256": "a2f7ba077a91802e080e41b496c5c1f424af42396048c22f7c444dc7d564f6ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3237",
    "kind": "arxiv",
    "version": 3
  }
}