Pith Number

pith:7YAQ7QY6

pith:2026:7YAQ7QY6I36Y4G3PNPWYG52HMV

not attested not anchored not stored refs pending

Projection Diagnostics for Directional Asymmetry and Tail-Ratio Departure in Multivariate Data

Sayantan Banerjee, Soudeep Deb

arxiv:2606.03670 v1 · 2026-06-02 · stat.ME · 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{7YAQ7QY6I36Y4G3PNPWYG52HMV}

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	2026-06-03T01:06:04.082071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe010fc31e46fd8e1b6f6bed837747656fa6684688699af1e715480e8a6d1082

Aliases

arxiv: 2606.03670 · arxiv_version: 2606.03670v1 · doi: 10.48550/arxiv.2606.03670 · pith_short_12: 7YAQ7QY6I36Y · pith_short_16: 7YAQ7QY6I36Y4G3P · pith_short_8: 7YAQ7QY6

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/7YAQ7QY6I36Y4G3PNPWYG52HMV \
  | 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: fe010fc31e46fd8e1b6f6bed837747656fa6684688699af1e715480e8a6d1082

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b4ef062d003805a246c24ff7f2c888d3c3671f2a102b130bcf45601595ab0ea",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-06-02T13:54:51Z",
    "title_canon_sha256": "307f6f1cf0e10c3103cd1be25d810281f41a1a4c6a313303a386afa44d84d32a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03670",
    "kind": "arxiv",
    "version": 1
  }
}