Pith Number

pith:FJWXDK5C

pith:2026:FJWXDK5CLAEZ6DWRPORTIHC5QX

not attested not anchored not stored refs pending

The Spatial Cram'{e}r--von Mises Test of Independence under $\beta$-Mixing: Asymptotic Theory and Python Implementation

Marco Mandap

arxiv:2605.19164 v1 · 2026-05-18 · 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{FJWXDK5CLAEZ6DWRPORTIHC5QX}

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	2026-05-20T01:05:31.132050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a6d71aba258099f0ed17ba3341c5d85cec017cb706da3a380627755d6c0a513

Aliases

arxiv: 2605.19164 · arxiv_version: 2605.19164v1 · doi: 10.48550/arxiv.2605.19164 · pith_short_12: FJWXDK5CLAEZ · pith_short_16: FJWXDK5CLAEZ6DWR · pith_short_8: FJWXDK5C

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/FJWXDK5CLAEZ6DWRPORTIHC5QX \
  | 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: 2a6d71aba258099f0ed17ba3341c5d85cec017cb706da3a380627755d6c0a513

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b54f2344e6ebc94b1048ff2306eded29262ede3c356a5164d685b152988e525",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2026-05-18T22:32:52Z",
    "title_canon_sha256": "cd9577452b1bf56698df695130aeb6e0f7ded6ba62affd46b049a0ddbe022b19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19164",
    "kind": "arxiv",
    "version": 1
  }
}