Pith Number

pith:XA52PFDC

pith:2025:XA52PFDCNTWFHAF5LJT4O4K2ZL

not attested not anchored not stored refs pending

Sharp Anti-Concentration Inequalities for Extremum Statistics via Copulas

Matias D. Cattaneo, Ricardo P. Masini, William G. Underwood

arxiv:2502.07699 v2 · 2025-02-11 · math.ST · math.PR · 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{XA52PFDCNTWFHAF5LJT4O4K2ZL}

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	2026-07-05T11:46:39.112209Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b83ba794626cec5380bd5a67c7715acadaf7424caf729c167e9411f333650193

Aliases

arxiv: 2502.07699 · arxiv_version: 2502.07699v2 · doi: 10.48550/arxiv.2502.07699 · pith_short_12: XA52PFDCNTWF · pith_short_16: XA52PFDCNTWFHAF5 · pith_short_8: XA52PFDC

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/XA52PFDCNTWFHAF5LJT4O4K2ZL \
  | 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: b83ba794626cec5380bd5a67c7715acadaf7424caf729c167e9411f333650193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5302fea6a1b64e1782643b4320a3fb61fc2faec0f913dbe8dc5fc3a974c9f207",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-02-11T16:51:25Z",
    "title_canon_sha256": "5a88cd956117c9974b13eebfde88a37c454e32985a19a33197d24386cbf7b744"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.07699",
    "kind": "arxiv",
    "version": 2
  }
}