Pith Number

pith:E774UBYI

pith:2025:E774UBYIEIXZVIZLMUYNYYGWX4

not attested not anchored not stored refs pending

High-dimensional Sobolev tests on hyperspheres

Bruno Ebner, Eduardo Garc\'ia-Portugu\'es, Thomas Verdebout

arxiv:2501.10898 v1 · 2025-01-18 · math.ST · stat.ME · 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{E774UBYIEIXZVIZLMUYNYYGWX4}

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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.

Cited by

1 paper in Pith

M\"obius-Invariant Goodness-of-Fit Tests for the Spherical Cauchy Model

Receipt and verification

First computed	2026-07-05T10:03:00.432530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27ffca0708222f9aa32b6530dc60d6bf3f6048a1d263fc2da156e7f71f76f17c

Aliases

arxiv: 2501.10898 · arxiv_version: 2501.10898v1 · doi: 10.48550/arxiv.2501.10898 · pith_short_12: E774UBYIEIXZ · pith_short_16: E774UBYIEIXZVIZL · pith_short_8: E774UBYI

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/E774UBYIEIXZVIZLMUYNYYGWX4 \
  | 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: 27ffca0708222f9aa32b6530dc60d6bf3f6048a1d263fc2da156e7f71f76f17c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56e29f9910427350f07122b3bd795f47f728b5e40a31a11852456de573dc356d",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-01-18T23:15:09Z",
    "title_canon_sha256": "b56df8b95ba731c7613d3d68f02175a8704fd972d02d0e14064166c3e20fd759"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.10898",
    "kind": "arxiv",
    "version": 1
  }
}