Pith Number

pith:QZUWFZT5

pith:2013:QZUWFZT5LCREHR55IH3ET4F2DP

not attested not anchored not stored refs pending

Empirical entropy, minimax regret and minimax risk

Alexander Rakhlin, Alexandre B. Tsybakov, Karthik Sridharan

arxiv:1308.1147 v3 · 2013-08-06 · math.ST · cs.LG · 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{QZUWFZT5LCREHR55IH3ET4F2DP}

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	2026-05-18T00:41:08.664389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

866962e67d58a243c7bd41f649f0ba1bd8a8e23cd190af9a6e29d02fc7b6557c

Aliases

arxiv: 1308.1147 · arxiv_version: 1308.1147v3 · doi: 10.48550/arxiv.1308.1147 · pith_short_12: QZUWFZT5LCRE · pith_short_16: QZUWFZT5LCREHR55 · pith_short_8: QZUWFZT5

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/QZUWFZT5LCREHR55IH3ET4F2DP \
  | 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: 866962e67d58a243c7bd41f649f0ba1bd8a8e23cd190af9a6e29d02fc7b6557c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91d6cb5f9fa6b27d416bab6610fb4045fa29493a9c23ce4e8aecb1cfe56038d7",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-08-06T01:05:52Z",
    "title_canon_sha256": "dd5a127da1b204af1ab70155a9b963d325e83e1defdafb89979dbe2d02041f66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1147",
    "kind": "arxiv",
    "version": 3
  }
}