Pith Number

pith:J57PZR3P

pith:2026:J57PZR3P4UQCUZHH5SM5L4TGVL

not attested not anchored not stored refs pending

Optimal Estimators for Heavy-Tailed Mean Estimation via Convex Analysis

Bart P.G. van Parys, Bert Zwart

arxiv:2606.27899 v1 · 2026-06-26 · math.ST · math.OC · math.PR · 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{J57PZR3P4UQCUZHH5SM5L4TGVL}

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	2026-06-29T01:14:52.086835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f7efcc76fe5202a64e7ec99d5f266aad5823d08099ea3a1577af1eae9e77c0e

Aliases

arxiv: 2606.27899 · arxiv_version: 2606.27899v1 · doi: 10.48550/arxiv.2606.27899 · pith_short_12: J57PZR3P4UQC · pith_short_16: J57PZR3P4UQCUZHH · pith_short_8: J57PZR3P

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/J57PZR3P4UQCUZHH5SM5L4TGVL \
  | 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: 4f7efcc76fe5202a64e7ec99d5f266aad5823d08099ea3a1577af1eae9e77c0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a86568e4237fac98368cc7c99534effd8146884e862975286e82bec8170a7dd",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-26T09:49:12Z",
    "title_canon_sha256": "ed876a213531b1a94834f6bddd8b247131b3340053d6503589e506119c3c9b53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27899",
    "kind": "arxiv",
    "version": 1
  }
}