Pith Number

pith:5IITW2UP

pith:2009:5IITW2UP4HYACG7ZG4B255YXHT

not attested not anchored not stored refs pending

Mesoscopic fluctuations of the zeta zeros

Paul Bourgade

arxiv:0902.1757 v1 · 2009-02-10 · 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{5IITW2UP4HYACG7ZG4B255YXHT}

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

Black Holes and Random Variables

Receipt and verification

First computed	2026-07-04T15:37:40.680534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea113b6a8fe1f0011bf93703aef7173cc02dc762a3604cfd1cc22218b0c69a2c

Aliases

arxiv: 0902.1757 · arxiv_version: 0902.1757v1 · doi: 10.48550/arxiv.0902.1757 · pith_short_12: 5IITW2UP4HYA · pith_short_16: 5IITW2UP4HYACG7Z · pith_short_8: 5IITW2UP

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/5IITW2UP4HYACG7ZG4B255YXHT \
  | 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: ea113b6a8fe1f0011bf93703aef7173cc02dc762a3604cfd1cc22218b0c69a2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff259d5ca130eaa0d76520e2552e43ab0a2ef8494c0207fe15e596bf13331f07",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-02-10T21:04:20Z",
    "title_canon_sha256": "d628799f81d0f4fa8995942b38a93983892f4b45fd419c75abb0107144b20eb8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1757",
    "kind": "arxiv",
    "version": 1
  }
}