Pith Number

pith:TAPPJSVE

pith:2010:TAPPJSVEUZGRSKJOFSFTODQ2VF

not attested not anchored not stored refs pending

Correlation functions for random complex zeroes: strong clustering and local universality

Fedor Nazarov, Mikhail Sodin

arxiv:1005.4113 v1 · 2010-05-22 · math-ph · math.CV · math.MP · 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{TAPPJSVEUZGRSKJOFSFTODQ2VF}

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	2026-05-18T00:54:42.155850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

981ef4caa4a64d19292e2c8b370e1aa94c049863c22b2abca5094dd63392b7a2

Aliases

arxiv: 1005.4113 · arxiv_version: 1005.4113v1 · doi: 10.48550/arxiv.1005.4113 · pith_short_12: TAPPJSVEUZGR · pith_short_16: TAPPJSVEUZGRSKJO · pith_short_8: TAPPJSVE

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/TAPPJSVEUZGRSKJOFSFTODQ2VF \
  | 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: 981ef4caa4a64d19292e2c8b370e1aa94c049863c22b2abca5094dd63392b7a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6500d65cf15ffa26c38f26c1744e592ebb06d4634e784433767ca48e7c3142d",
    "cross_cats_sorted": [
      "math.CV",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-05-22T08:40:46Z",
    "title_canon_sha256": "0f3b4ccd0732edd2f8585d0a0081076f8f97769e3589b25f1eba7acc3a7c478b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.4113",
    "kind": "arxiv",
    "version": 1
  }
}