Pith Number

pith:G3UDEBJM

pith:2009:G3UDEBJMFN6YOWVYN7L5FGLPVD

not attested not anchored not stored refs pending

On spectral representations of tensor random fields on the sphere

Ludmila Sakhno, Nikolai Leonenko

arxiv:0912.3389 v1 · 2009-12-17 · 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{G3UDEBJMFN6YOWVYN7L5FGLPVD}

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	2026-05-18T04:02:25.391552Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36e832052c2b7d875ab86fd7d2996fa8dc241bc2c82bfae3ed5ccfcfd03152a4

Aliases

arxiv: 0912.3389 · arxiv_version: 0912.3389v1 · doi: 10.48550/arxiv.0912.3389 · pith_short_12: G3UDEBJMFN6Y · pith_short_16: G3UDEBJMFN6YOWVY · pith_short_8: G3UDEBJM

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/G3UDEBJMFN6YOWVYN7L5FGLPVD \
  | 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: 36e832052c2b7d875ab86fd7d2996fa8dc241bc2c82bfae3ed5ccfcfd03152a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf8af3b68b83a5eecc0c5e6a49af707c495ad9a12f167e290ee0ea0a8650c662",
    "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": "2009-12-17T13:38:59Z",
    "title_canon_sha256": "f48ef72a9f6354ffc159ddc3c6b02bbff7f2e421802346d53b60e1fcb9901ddc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3389",
    "kind": "arxiv",
    "version": 1
  }
}