Pith Number

pith:H7SHB5WS

pith:2015:H7SHB5WS4DM4JTDYM7UF2OFDN6

not attested not anchored not stored refs pending

On concentration for (regularized) empirical risk minimization

Martin Wainwright, Sara van de Geer

arxiv:1512.00677 v2 · 2015-12-02 · 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{H7SHB5WS4DM4JTDYM7UF2OFDN6}

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	2026-05-18T01:23:07.759614Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fe470f6d2e0d9c4cc7867e85d38a36fbd4f0eceb40d226ec6bab0762d0aa2c7

Aliases

arxiv: 1512.00677 · arxiv_version: 1512.00677v2 · doi: 10.48550/arxiv.1512.00677 · pith_short_12: H7SHB5WS4DM4 · pith_short_16: H7SHB5WS4DM4JTDY · pith_short_8: H7SHB5WS

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/H7SHB5WS4DM4JTDYM7UF2OFDN6 \
  | 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: 3fe470f6d2e0d9c4cc7867e85d38a36fbd4f0eceb40d226ec6bab0762d0aa2c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97d5300a76cf7923d8c6a529661e913472b9a30ed081f0cb6fa8994f265d08cd",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2015-12-02T12:54:09Z",
    "title_canon_sha256": "d7ba2e31ca4ebe3e95fd1890239ee078e88121648319ba283d31515a483af060"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00677",
    "kind": "arxiv",
    "version": 2
  }
}