Pith Number

pith:IUTSV5TK

pith:2010:IUTSV5TKCHJNBJDYOIPUHZL7MI

not attested not anchored not stored refs pending

Fluctuations in random complex zeroes: Asymptotic normality revisited

Fedor Nazarov, Mikhail Sodin

arxiv:1003.4251 v1 · 2010-03-22 · math.PR · math-ph · math.CV · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IUTSV5TKCHJNBJDYOIPUHZL7MI}

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	2026-05-18T00:54:42.170743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45272af66a11d2d0a478721f43e57f621f3a43dd2e356136d130e95816bb42ae

Aliases

arxiv: 1003.4251 · arxiv_version: 1003.4251v1 · doi: 10.48550/arxiv.1003.4251 · pith_short_12: IUTSV5TKCHJN · pith_short_16: IUTSV5TKCHJNBJDY · pith_short_8: IUTSV5TK

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/IUTSV5TKCHJNBJDYOIPUHZL7MI \
  | 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: 45272af66a11d2d0a478721f43e57f621f3a43dd2e356136d130e95816bb42ae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40d98892d631d57284427b43a2349a14261cb019d39362ba7cdcf2c4a5e78cd6",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-22T19:40:16Z",
    "title_canon_sha256": "d6f12c93d214a06e0ddc1b39bf61ff29ba392381922792e7864f4602f356b9a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.4251",
    "kind": "arxiv",
    "version": 1
  }
}