Pith Number

pith:Y43XW2H6

pith:2022:Y43XW2H6YFSD5ANV4HQ2WD6TS6

not attested not anchored not stored refs pending

Improved Rates of Bootstrap Approximation for the Operator Norm: A Coordinate-Free Approach

Miles E. Lopes

arxiv:2208.03050 v3 · 2022-08-05 · 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{Y43XW2H6YFSD5ANV4HQ2WD6TS6}

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.

Cited by

1 paper in Pith

Universal Bootstrap for Spectral Statistics: Beyond Gaussian Approximation

Receipt and verification

First computed	2026-07-05T07:36:49.264805Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7377b68fec1643e81b5e1e1ab0fd397a03e0c93f252ccc65664886fa6a61958

Aliases

arxiv: 2208.03050 · arxiv_version: 2208.03050v3 · doi: 10.48550/arxiv.2208.03050 · pith_short_12: Y43XW2H6YFSD · pith_short_16: Y43XW2H6YFSD5ANV · pith_short_8: Y43XW2H6

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/Y43XW2H6YFSD5ANV4HQ2WD6TS6 \
  | 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: c7377b68fec1643e81b5e1e1ab0fd397a03e0c93f252ccc65664886fa6a61958

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14f7ec9a9db010d03300c7580c3407e684f8f37d1a110dab10d9b1c4c0394194",
    "cross_cats_sorted": [
      "math.PR",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2022-08-05T09:07:33Z",
    "title_canon_sha256": "17e2487fc695e472e0e54b5b7c4058dcf4263e5d92d45750f50b95f806e65c4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.03050",
    "kind": "arxiv",
    "version": 3
  }
}