Pith Number

pith:4FY52L7F

pith:2025:4FY52L7FWTBF5PKRS2FFGYVXK5

not attested not anchored not stored refs pending

Crossing the Kolmogorov-Smirnov Boundary: Exact Tails, Sharp Bounds, and Broken Pivots

Elvis Han Cui, Yihao Li, Zhuang Liu

arxiv:2503.11673 v2 · 2025-02-27 · math.ST · math.PR · stat.AP · 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{4FY52L7FWTBF5PKRS2FFGYVXK5}

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	2026-05-27T01:04:48.104587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e171dd2fe5b4c25ebd51968a5362b757499d999f3575bd5d5da1621d149171d0

Aliases

arxiv: 2503.11673 · arxiv_version: 2503.11673v2 · doi: 10.48550/arxiv.2503.11673 · pith_short_12: 4FY52L7FWTBF · pith_short_16: 4FY52L7FWTBF5PKR · pith_short_8: 4FY52L7F

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/4FY52L7FWTBF5PKRS2FFGYVXK5 \
  | 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: e171dd2fe5b4c25ebd51968a5362b757499d999f3575bd5d5da1621d149171d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e98ead2235c238e78b9323a7bf008c6e0c4b0bb3ad541078121c1aa0a4635333",
    "cross_cats_sorted": [
      "math.PR",
      "stat.AP",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-02-27T22:20:22Z",
    "title_canon_sha256": "0d3050c8c941499bcd36140db77b5e48e069873d4cc1bafc0cbf328a73dbf33c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.11673",
    "kind": "arxiv",
    "version": 2
  }
}