Pith Number

pith:YMY7WFYJ

pith:2026:YMY7WFYJTUABU6T2DPGGBJP2SY

not attested not anchored not stored refs pending

Closed-form fractional radial links for elliptical Mahalanobis discriminant analysis

Serhii Zabolotnii

arxiv:2607.06089 v1 · 2026-07-07 · math.ST · stat.ME · stat.ML · 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{YMY7WFYJTUABU6T2DPGGBJP2SY}

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	2026-07-08T01:18:56.363553Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c331fb17099d001a7a7a1bcc60a5fa9607f804f67b6099fb45ec9f7a7546ad74

Aliases

arxiv: 2607.06089 · arxiv_version: 2607.06089v1 · doi: 10.48550/arxiv.2607.06089 · pith_short_12: YMY7WFYJTUAB · pith_short_16: YMY7WFYJTUABU6T2 · pith_short_8: YMY7WFYJ

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/YMY7WFYJTUABU6T2DPGGBJP2SY \
  | 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: c331fb17099d001a7a7a1bcc60a5fa9607f804f67b6099fb45ec9f7a7546ad74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ac1df635276bb3892943310334ba6210ed05bcc59002d53a8af00bbc96570e6",
    "cross_cats_sorted": [
      "stat.ME",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-07T10:02:33Z",
    "title_canon_sha256": "61737485918553b6555dc0632fb00c2de5a21b35df9e9838d3defbf3b676d21e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.06089",
    "kind": "arxiv",
    "version": 1
  }
}