Pith Number

pith:RDYY3AM4

pith:2011:RDYY3AM4UJPLRRE2GVMELRBSFL

not attested not anchored not stored refs pending

New concentration inequalities for suprema of empirical processes

Johannes Lederer, Sara van de Geer

arxiv:1111.3486 v2 · 2011-11-15 · math.PR · math.ST · 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{RDYY3AM4UJPLRRE2GVMELRBSFL}

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	2026-05-18T02:39:38.463113Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88f18d819ca25eb8c49a355845c4322afdd4e4bb4f44efd041125740e4b663df

Aliases

arxiv: 1111.3486 · arxiv_version: 1111.3486v2 · doi: 10.48550/arxiv.1111.3486 · pith_short_12: RDYY3AM4UJPL · pith_short_16: RDYY3AM4UJPLRRE2 · pith_short_8: RDYY3AM4

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/RDYY3AM4UJPLRRE2GVMELRBSFL \
  | 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: 88f18d819ca25eb8c49a355845c4322afdd4e4bb4f44efd041125740e4b663df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25b8e797e54c720599cf7a510600621404c2556f0897ff4050dbfc5b0b0f1008",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-11-15T10:15:41Z",
    "title_canon_sha256": "f9701522d64045af9e0fba5abe2fcc454bbcddc2ab82968f5a17460413e87979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.3486",
    "kind": "arxiv",
    "version": 2
  }
}