Pith Number

pith:WN7J2Q43

pith:2025:WN7J2Q43AQNZP6ATHD3KENARZM

not attested not anchored not stored refs pending

Ties, Tails and Spectra: On Rank-Based Dependency Measures in High Dimensions

Johannes Heiny, Michael Fleermann, Nina D\"ornemann

arxiv:2508.14992 v1 · 2025-08-20 · math.ST · math.PR · 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{WN7J2Q43AQNZP6ATHD3KENARZM}

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	2026-07-05T11:57:04.665072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b37e9d439b041b97f81338f6a23411cb214af120097e11f93bc38072b40a1289

Aliases

arxiv: 2508.14992 · arxiv_version: 2508.14992v1 · doi: 10.48550/arxiv.2508.14992 · pith_short_12: WN7J2Q43AQNZ · pith_short_16: WN7J2Q43AQNZP6AT · pith_short_8: WN7J2Q43

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/WN7J2Q43AQNZP6ATHD3KENARZM \
  | 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: b37e9d439b041b97f81338f6a23411cb214af120097e11f93bc38072b40a1289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dce6371f2b5fb7a4186df50c9a5cdf6e8214ce905532e8888359bdebc65dac0b",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-08-20T18:26:58Z",
    "title_canon_sha256": "d60f90c59a8c5b38f9fb001b9b3523328ca92cb02e7892f8ed4b8a411ffa6c68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.14992",
    "kind": "arxiv",
    "version": 1
  }
}