Pith Number

pith:ZHD65VQE

pith:2023:ZHD65VQE6OYTYDMEFNXUDMZ7PF

not attested not anchored not stored refs pending

Multivariate Symmetry: Distribution-Free Testing via Optimal Transport

Bodhisattva Sen, Zhen Huang

arxiv:2305.01839 v1 · 2023-05-03 · stat.ME

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZHD65VQE6OYTYDMEFNXUDMZ7PF}

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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

Exact distribution-free tests of spherical symmetry applicable to high dimensional data

Receipt and verification

First computed	2026-07-05T06:06:33.003655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9c7eed604f3b13c0d842b6f41b33f797282f4ad32806cb8990449855e7bff75

Aliases

arxiv: 2305.01839 · arxiv_version: 2305.01839v1 · doi: 10.48550/arxiv.2305.01839 · pith_short_12: ZHD65VQE6OYT · pith_short_16: ZHD65VQE6OYTYDME · pith_short_8: ZHD65VQE

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/ZHD65VQE6OYTYDMEFNXUDMZ7PF \
  | 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: c9c7eed604f3b13c0d842b6f41b33f797282f4ad32806cb8990449855e7bff75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b99c1c02badb41300db684932ba33229b01b962bfe4f8d90f6441e1fee85824c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2023-05-03T00:51:54Z",
    "title_canon_sha256": "e3bbef5588de9da10ca8290fb267660d031310ca00baf2b276b29c1df89773f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.01839",
    "kind": "arxiv",
    "version": 1
  }
}