Pith Number

pith:CRAA34SH

pith:2006:CRAA34SHKJEQRAPWIGWABID544

not attested not anchored not stored refs pending

Some characterizations of the spherical harmonics coefficients for isotropic random fields

D. Marinucci, P. Baldi

arxiv:math/0606709 v1 · 2006-06-28 · math.PR · 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{CRAA34SHKJEQRAPWIGWABID544}

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	2026-07-04T15:02:02.887945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14400df24752490881f641ac00a07de71abfd078ce6e741436cc513010fa2b93

Aliases

arxiv: math/0606709 · arxiv_version: math/0606709v1 · doi: 10.48550/arxiv.math/0606709 · pith_short_12: CRAA34SHKJEQ · pith_short_16: CRAA34SHKJEQRAPW · pith_short_8: CRAA34SH

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/CRAA34SHKJEQRAPWIGWABID544 \
  | 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: 14400df24752490881f641ac00a07de71abfd078ce6e741436cc513010fa2b93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49216719eb37926451b0c93dade2f0771881d520c63f92d10a4989a10e2fdbea",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2006-06-28T08:56:23Z",
    "title_canon_sha256": "45052cc000bd6bcbcb9d3318d95ec450edbdd3f2a60d248145b87f4402f91991"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606709",
    "kind": "arxiv",
    "version": 1
  }
}