Pith Number

pith:YZQLU3K4

pith:2021:YZQLU3K4VXFUGGOQSXPE5HSF2J

not attested not anchored not stored refs pending

The Statistical Complexity of Interactive Decision Making

Alexander Rakhlin, Dylan J. Foster, Jian Qian, Sham M. Kakade

arxiv:2112.13487 v3 · 2021-12-27 · cs.LG · math.OC · math.ST · 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{YZQLU3K4VXFUGGOQSXPE5HSF2J}

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.

Cited by

19 papers in Pith

Minimax Quantile Lower Bounds for Interactive Statistical Decision Making with Privacy

Pointwise Complexity for Gaussian Fields: Upper Envelopes, Algorithmic Lower Bounds, and Separation

Bellman-sufficient Information Complexity

Pointwise Complexity for Gaussian Fields: Upper Envelopes, Algorithmic Lower Bounds, and Separation

Receipt and verification

First computed	2026-07-05T06:29:29.290100Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c660ba6d5cadcb4319d095de4e9e45d2544c150a7035fb9190670a5af154cdc1

Aliases

arxiv: 2112.13487 · arxiv_version: 2112.13487v3 · doi: 10.48550/arxiv.2112.13487 · pith_short_12: YZQLU3K4VXFU · pith_short_16: YZQLU3K4VXFUGGOQ · pith_short_8: YZQLU3K4

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/YZQLU3K4VXFUGGOQSXPE5HSF2J \
  | 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: c660ba6d5cadcb4319d095de4e9e45d2544c150a7035fb9190670a5af154cdc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df15d7376751ecf37115e9a9ec9f0ed77a5fafba6943b330a1f91db935de4209",
    "cross_cats_sorted": [
      "math.OC",
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-12-27T02:53:44Z",
    "title_canon_sha256": "857fac3f3b6206f95976c335f1545046b325559dd1de04b88c57e6d358ded31a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.13487",
    "kind": "arxiv",
    "version": 3
  }
}