Pith Number

pith:KDC7WJOD

pith:2026:KDC7WJOD6FBYQZEM2UIPXP7QN6

not attested not anchored not stored refs pending

Testing for Serial Independence via Auto Hilbert-Schmidt Independence Criterion

Muyi Li, Yuqing Xu, Zhou Zhou

arxiv:2605.22025 v1 · 2026-05-21 · 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{KDC7WJOD6FBYQZEM2UIPXP7QN6}

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	2026-05-22T01:04:21.031446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50c5fb25c3f14388648cd510fbbff06f9d89ff9caaeb7633e68ceac448b578cf

Aliases

arxiv: 2605.22025 · arxiv_version: 2605.22025v1 · doi: 10.48550/arxiv.2605.22025 · pith_short_12: KDC7WJOD6FBY · pith_short_16: KDC7WJOD6FBYQZEM · pith_short_8: KDC7WJOD

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/KDC7WJOD6FBYQZEM2UIPXP7QN6 \
  | 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: 50c5fb25c3f14388648cd510fbbff06f9d89ff9caaeb7633e68ceac448b578cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df4b85d6d4ef0eb46ab0a6bde5ebe257aa62a0f94abf91af2df0c751063e6ae3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-05-21T05:50:26Z",
    "title_canon_sha256": "6b869d0a876db64e8eb47819e81d1981a4d4578f9c09bf866394e22bc154c00a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22025",
    "kind": "arxiv",
    "version": 1
  }
}