Pith Number

pith:LR4SUVH7

pith:2020:LR4SUVH7DPM62YEZ5C6FQGDOE7

not attested not anchored not stored refs pending

Optimal Mean Estimation without a Variance

Michael I. Jordan, Nilesh Tripuraneni, Peter L. Bartlett, Yeshwanth Cherapanamjeri

arxiv:2011.12433 v2 · 2020-11-24 · math.ST · cs.DS · 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{LR4SUVH7DPM62YEZ5C6FQGDOE7}

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	2026-07-05T01:58:13.068220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c792a54ff1bd9ed6099e8bc58186e27cbb7a95ad2734fe75b75482555714633

Aliases

arxiv: 2011.12433 · arxiv_version: 2011.12433v2 · doi: 10.48550/arxiv.2011.12433 · pith_short_12: LR4SUVH7DPM6 · pith_short_16: LR4SUVH7DPM62YEZ · pith_short_8: LR4SUVH7

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/LR4SUVH7DPM62YEZ5C6FQGDOE7 \
  | 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: 5c792a54ff1bd9ed6099e8bc58186e27cbb7a95ad2734fe75b75482555714633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e96a5b3dd7f5346d7fe605168193edf7bf9e3dc581b36a0871022874dbd5063",
    "cross_cats_sorted": [
      "cs.DS",
      "cs.LG",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2020-11-24T22:39:21Z",
    "title_canon_sha256": "2762030eada302402ae6ac228efc80162c12c2214991db77a6d4b123b919a286"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.12433",
    "kind": "arxiv",
    "version": 2
  }
}