Pith Number

pith:AODVD5LD

pith:2010:AODVD5LDDZFVFHJNBJFHIMAAFO

not attested not anchored not stored refs pending

A local maximal inequality under uniform entropy

Aad van der Vaart, Jon A. Wellner

arxiv:1012.5533 v1 · 2010-12-26 · 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{AODVD5LDDZFVFHJNBJFHIMAAFO}

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	2026-05-18T04:32:23.137484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

038751f5631e4b529d2d0a4a7430002bb1c1b0088f4175e150c12fd8576510bf

Aliases

arxiv: 1012.5533 · arxiv_version: 1012.5533v1 · doi: 10.48550/arxiv.1012.5533 · pith_short_12: AODVD5LDDZFV · pith_short_16: AODVD5LDDZFVFHJN · pith_short_8: AODVD5LD

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/AODVD5LDDZFVFHJNBJFHIMAAFO \
  | 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: 038751f5631e4b529d2d0a4a7430002bb1c1b0088f4175e150c12fd8576510bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6503fd2fb3c0c01aefe585432b276e3f9b39399e1c3660d71c003f0c15f015c7",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2010-12-26T18:11:18Z",
    "title_canon_sha256": "637d81f5c0fe526eda18cd1e568086366eb25ee1be5380a0ff3724006db15be1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5533",
    "kind": "arxiv",
    "version": 1
  }
}