Pith Number

pith:K7NWEWAM

pith:2009:K7NWEWAMJFBFFZI3QD7T2XSPS2

not attested not anchored not stored refs pending

Ergodicity and Gaussianity for Spherical Random Fields

Domenico Marinucci (DIPMAT), Giovanni Peccati (MODAL'X)

arxiv:0911.2502 v1 · 2009-11-12 · math.PR · astro-ph.CO · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7NWEWAMJFBFFZI3QD7T2XSPS2}

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	2026-05-18T02:10:48.065332Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57db62580c494252e51b80ff3d5e4f968bdef7fd6c885f02bdb0ceb4ff9cbc4e

Aliases

arxiv: 0911.2502 · arxiv_version: 0911.2502v1 · doi: 10.48550/arxiv.0911.2502 · pith_short_12: K7NWEWAMJFBF · pith_short_16: K7NWEWAMJFBFFZI3 · pith_short_8: K7NWEWAM

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/K7NWEWAMJFBFFZI3QD7T2XSPS2 \
  | 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: 57db62580c494252e51b80ff3d5e4f968bdef7fd6c885f02bdb0ceb4ff9cbc4e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb46fedce0dc2f7be1e430086e824ea0baea136822b219624d9ecd64a81920a9",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-11-12T23:10:22Z",
    "title_canon_sha256": "b72c143776dfaf86a94bea998e44949f60823ab2cf8f7c297928a2a24c2154dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2502",
    "kind": "arxiv",
    "version": 1
  }
}