Pith Number

pith:NMAZBW3P

pith:2023:NMAZBW3P6EP2AHZQEHN4LAEO6T

not attested not anchored not stored refs pending

Gaussian and Bootstrap Approximations for Suprema of Empirical Processes

Alexander Giessing

arxiv:2309.01307 v1 · 2023-09-04 · math.ST · math.PR · stat.ME · 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{NMAZBW3P6EP2AHZQEHN4LAEO6T}

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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	2026-07-05T06:47:36.132264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b0190db6ff11fa01f3021dbc5808ef4e3f3bef10fc5f88b8d42b0b50b823d80

Aliases

arxiv: 2309.01307 · arxiv_version: 2309.01307v1 · doi: 10.48550/arxiv.2309.01307 · pith_short_12: NMAZBW3P6EP2 · pith_short_16: NMAZBW3P6EP2AHZQ · pith_short_8: NMAZBW3P

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/NMAZBW3P6EP2AHZQEHN4LAEO6T \
  | 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: 6b0190db6ff11fa01f3021dbc5808ef4e3f3bef10fc5f88b8d42b0b50b823d80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3415b603498755800ab474252e763bc87a00ef950b6c5362d33eaaa49e4af736",
    "cross_cats_sorted": [
      "math.PR",
      "stat.ME",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2023-09-04T01:35:22Z",
    "title_canon_sha256": "fab8a3ab1cd7f6822f7b59bc78aff0941f2df6f5c67bc9d01dcb3487312a51a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.01307",
    "kind": "arxiv",
    "version": 1
  }
}