Pith Number

pith:OLUIH74N

pith:2007:OLUIH74NBEGCN2EXAHFJFYCDO2

not attested not anchored not stored refs pending

Group Representations and High-Resolution Central Limit Theorems for Subordinated Spherical Random Fields

Domenico Marinucci (DIPMAT), Giovanni Peccati (LSTA)

arxiv:0706.2851 v3 · 2007-06-19 · 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{OLUIH74NBEGCN2EXAHFJFYCDO2}

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	2026-05-18T03:31:31.340839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72e883ff8d090c26e89701ca92e04376bc639fdcd74be911810b6dcf25e74b71

Aliases

arxiv: 0706.2851 · arxiv_version: 0706.2851v3 · doi: 10.48550/arxiv.0706.2851 · pith_short_12: OLUIH74NBEGC · pith_short_16: OLUIH74NBEGCN2EX · pith_short_8: OLUIH74N

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/OLUIH74NBEGCN2EXAHFJFYCDO2 \
  | 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: 72e883ff8d090c26e89701ca92e04376bc639fdcd74be911810b6dcf25e74b71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28dcdb8aada74388f6fedcc164339419b26af538f132d36faa592a31e5e88ad4",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2007-06-19T18:01:03Z",
    "title_canon_sha256": "fdbe6a0e7930caa87f802c2bc2163d29110a9e945fb80b67161682d4fab7d4a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0706.2851",
    "kind": "arxiv",
    "version": 3
  }
}