Pith Number

pith:UJSMQZ6P

pith:2025:UJSMQZ6PSSNOM4N52MAH3YDFGV

not attested not anchored not stored refs pending

Improved Concentration for Mean Estimators via Shrinkage

Ant\^onio Cat\~ao, Lucas Resende, Paulo Orenstein

arxiv:2512.12750 v3 · 2025-12-14 · 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{UJSMQZ6PSSNOM4N52MAH3YDFGV}

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	2026-08-03T00:10:03.411518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a264c867cf949ae671bdd3007de065354c5209db70a732e0bf432581c59b47a3

Aliases

arxiv: 2512.12750 · arxiv_version: 2512.12750v3 · doi: 10.48550/arxiv.2512.12750 · pith_short_12: UJSMQZ6PSSNO · pith_short_16: UJSMQZ6PSSNOM4N5 · pith_short_8: UJSMQZ6P

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/UJSMQZ6PSSNOM4N52MAH3YDFGV \
  | 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: a264c867cf949ae671bdd3007de065354c5209db70a732e0bf432581c59b47a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72174962de16fd4a953a9bc9b57b0af484dca399fe398b9220000756d80959af",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2025-12-14T16:18:22Z",
    "title_canon_sha256": "00025cc4418f386222ff747ca70c58e008590be7885a51db24aab151b0ee4905"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.12750",
    "kind": "arxiv",
    "version": 3
  }
}