Pith Number

pith:42VNWSJA

pith:2026:42VNWSJAHJQJF4UVDCR463LPV3

not attested not anchored not stored refs pending

Sample Complexities of Estimating Gumbel--Max Watermark Proportions with and without Reduction to Pivotal Statistics

Qiaosen Wang, Shuwen Chai

arxiv:2607.00224 v1 · 2026-06-30 · math.ST · cs.IT · cs.LG · math.IT · stat.ML · 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{42VNWSJAHJQJF4UVDCR463LPV3}

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	2026-07-02T00:18:39.904773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6aadb49203a6092f29518a3cf6d6faee444f4f125db06a96e3bc94596349a1d

Aliases

arxiv: 2607.00224 · arxiv_version: 2607.00224v1 · doi: 10.48550/arxiv.2607.00224 · pith_short_12: 42VNWSJAHJQJ · pith_short_16: 42VNWSJAHJQJF4UV · pith_short_8: 42VNWSJA

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/42VNWSJAHJQJF4UVDCR463LPV3 \
  | 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: e6aadb49203a6092f29518a3cf6d6faee444f4f125db06a96e3bc94596349a1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aeae90abf6c4a37870ff5f3ca07d42c3f453debe913393ba6e0bc7686ebe1ea2",
    "cross_cats_sorted": [
      "cs.IT",
      "cs.LG",
      "math.IT",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-30T22:04:35Z",
    "title_canon_sha256": "ced8704e21a526ccf6755381eafa44a862c9f39f9f5afba7be678373d39530ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00224",
    "kind": "arxiv",
    "version": 1
  }
}