Pith Number

pith:WYL4DZR2

pith:2017:WYL4DZR27BBXNAKIRSFHGMHBGE

not attested not anchored not stored refs pending

Goodness-of-fit tests for complete spatial randomness based on Minkowski functionals of binary images

Bruno Ebner, Klaus Mecke, Michael A. Klatt, Norbert Henze

arxiv:1710.02333 v1 · 2017-10-06 · stat.ME · math.ST · stat.CO · 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{WYL4DZR27BBXNAKIRSFHGMHBGE}

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	2026-05-18T00:33:33.707539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b617c1e63af8437681488c8a7330e13119b638b298d06b480622ea577e5e569a

Aliases

arxiv: 1710.02333 · arxiv_version: 1710.02333v1 · doi: 10.48550/arxiv.1710.02333 · pith_short_12: WYL4DZR27BBX · pith_short_16: WYL4DZR27BBXNAKI · pith_short_8: WYL4DZR2

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/WYL4DZR27BBXNAKIRSFHGMHBGE \
  | 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: b617c1e63af8437681488c8a7330e13119b638b298d06b480622ea577e5e569a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd2e29523d735a072a437044487392a718c9491f43eff5f08993ace1579338c4",
    "cross_cats_sorted": [
      "math.ST",
      "stat.CO",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2017-10-06T09:59:58Z",
    "title_canon_sha256": "8073ca496100bb77055824f8ea2e9f5d9277c03568751ebd3cc3174637ec6c04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.02333",
    "kind": "arxiv",
    "version": 1
  }
}