Pith Number

pith:BLC26TVU

pith:2021:BLC26TVUKE6W6DZAJRUI2A2AG6

not attested not anchored not stored refs pending

On the Minimal Error of Empirical Risk Minimization

Alexander Rakhlin, Gil Kur

arxiv:2102.12066 v1 · 2021-02-24 · math.ST · cs.LG · stat.ML · 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{BLC26TVUKE6W6DZAJRUI2A2AG6}

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	2026-07-05T02:18:08.654375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ac5af4eb4513d6f0f204c688d034037b8201993c35b22ec6774bbb06d864a63

Aliases

arxiv: 2102.12066 · arxiv_version: 2102.12066v1 · doi: 10.48550/arxiv.2102.12066 · pith_short_12: BLC26TVUKE6W · pith_short_16: BLC26TVUKE6W6DZA · pith_short_8: BLC26TVU

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/BLC26TVUKE6W6DZAJRUI2A2AG6 \
  | 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: 0ac5af4eb4513d6f0f204c688d034037b8201993c35b22ec6774bbb06d864a63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d66307837664ada609f8c6731176ffbf758c10c8034ee1493054ef05e12976bd",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2021-02-24T04:47:55Z",
    "title_canon_sha256": "ba1b07a71f99bff595b5635b493f2805efb2db4df92596e09217a7a7b5cea440"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.12066",
    "kind": "arxiv",
    "version": 1
  }
}