Pith Number

pith:4D6BYB52

pith:2015:4D6BYB52X2KIQ4L6C3NA3PLFX5

not attested not anchored not stored refs pending

Asymptotic laws for the spatial distribution and the number of connected components of zero sets of Gaussian random functions

Fedor Nazarov, Mikhail Sodin

arxiv:1507.02017 v1 · 2015-07-08 · math.PR · math-ph · math.CA · 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{4D6BYB52X2KIQ4L6C3NA3PLFX5}

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	2026-05-18T00:54:41.551695Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0fc1c07babe9488717e16da0dbd65bf67f79a8575180871fa77f074e9bb42d0

Aliases

arxiv: 1507.02017 · arxiv_version: 1507.02017v1 · doi: 10.48550/arxiv.1507.02017 · pith_short_12: 4D6BYB52X2KI · pith_short_16: 4D6BYB52X2KIQ4L6 · pith_short_8: 4D6BYB52

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/4D6BYB52X2KIQ4L6C3NA3PLFX5 \
  | 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: e0fc1c07babe9488717e16da0dbd65bf67f79a8575180871fa77f074e9bb42d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1eeb8c79041f2d225489c4f29643063f514262355d4d1610f68c0c59cfdf20d",
    "cross_cats_sorted": [
      "math-ph",
      "math.CA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-08T04:17:16Z",
    "title_canon_sha256": "a02c8e9961b083e8aa4a29534196922a51a4e90c8d946f3e37aef9e2bdd78540"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02017",
    "kind": "arxiv",
    "version": 1
  }
}