Pith Number

pith:32XGA3EX

pith:2023:32XGA3EXW4G46PWREHIIGDE3NC

not attested not anchored not stored refs pending

Minimum Area Confidence Set Optimality for Simultaneous Confidence Bands for Percentiles in Linear Regression

Frank Bretz, Lingjiao Wang, Wei Liu, Yang Han

arxiv:2309.05620 v2 · 2023-09-11 · 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{32XGA3EXW4G46PWREHIIGDE3NC}

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	2026-07-05T06:50:30.583212Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deae606c97b70dcf3ed121d0830c9b689264666e88e9b51541c2fe738a5f992c

Aliases

arxiv: 2309.05620 · arxiv_version: 2309.05620v2 · doi: 10.48550/arxiv.2309.05620 · pith_short_12: 32XGA3EXW4G4 · pith_short_16: 32XGA3EXW4G46PWR · pith_short_8: 32XGA3EX

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/32XGA3EXW4G46PWREHIIGDE3NC \
  | 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: deae606c97b70dcf3ed121d0830c9b689264666e88e9b51541c2fe738a5f992c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6573c43d0f88ea22e5487c6e46b50faaff5d273867c4fb3bbb9729a059c52330",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2023-09-11T17:07:16Z",
    "title_canon_sha256": "0f964a28f2169792294c6a5f21ccb7a2600aae6fa2786c090295bfd981da784b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.05620",
    "kind": "arxiv",
    "version": 2
  }
}