Pith. sign in
Pith Number

pith:CLUAUYP6

pith:2025:CLUAUYP6EVQK26RLFB66H37CWC
not attested not anchored not stored refs pending

Directional $\rho$-coefficients

David Garc\'ia-Fern\'andez, Enrique de Amo, Manuel \'Ubeda-Flores

arxiv:2505.22206 v1 · 2025-05-28 · math.ST · stat.TH

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CLUAUYP6EVQK26RLFB66H37CWC}

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 2026-07-05T11:11:11.417374Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

12e80a61fe2560ad7a2b287de3efe2b09a5c790c10703a2c5a192798fee4e83f

Aliases

arxiv: 2505.22206 · arxiv_version: 2505.22206v1 · doi: 10.48550/arxiv.2505.22206 · pith_short_12: CLUAUYP6EVQK · pith_short_16: CLUAUYP6EVQK26RL · pith_short_8: CLUAUYP6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CLUAUYP6EVQK26RLFB66H37CWC \
  | 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: 12e80a61fe2560ad7a2b287de3efe2b09a5c790c10703a2c5a192798fee4e83f
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "f8ec64adbb6c554331e8ad467ab452b387d5fe33435bf18eff0a8e366694ccc4",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-05-28T10:33:22Z",
    "title_canon_sha256": "84f3696bd9e335faf397c3e8b88b7772096d185270b9ee7995995d6d6f9e1a30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.22206",
    "kind": "arxiv",
    "version": 1
  }
}