Pith Number

pith:H43QDT6U

pith:2026:H43QDT6UNOPM3QNT2ZS4K6HVVK

not attested not anchored not stored refs pending

Edgeworth Expansions for Linear Rank Statistics -- Consolidated Version

Walter Schneller

arxiv:2607.05284 v1 · 2026-07-06 · 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{H43QDT6UNOPM3QNT2ZS4K6HVVK}

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	2026-07-07T03:19:21.898001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3f3701cfd46b9ecdc1b3d665c578f5aab28b1a961cddb2c34183767060e75d5a

Aliases

arxiv: 2607.05284 · arxiv_version: 2607.05284v1 · doi: 10.48550/arxiv.2607.05284 · pith_short_12: H43QDT6UNOPM · pith_short_16: H43QDT6UNOPM3QNT · pith_short_8: H43QDT6U

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/H43QDT6UNOPM3QNT2ZS4K6HVVK \
  | 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: 3f3701cfd46b9ecdc1b3d665c578f5aab28b1a961cddb2c34183767060e75d5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b80dab2f7412130b78a0275fd5633222f89c42128a829b26ee9e615a7d4eb528",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-07-06T16:28:08Z",
    "title_canon_sha256": "54dc888dc0bab828ed060192131e4f639654e28fc2d13ee01b7fb75c99efa96f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.05284",
    "kind": "arxiv",
    "version": 1
  }
}