Pith Number

pith:5FCX7CCB

pith:2026:5FCX7CCB33SGQQJ5WLU2EE2HVY

not attested not anchored not stored refs pending

Gaussian Approximation and Multiplier Bootstrap for Federated Linear Stochastic Approximation

Eric Moulines, Ilya Levin, Maksim Shuklin, Paul Mangold, Sergey Samsonov

arxiv:2605.19629 v1 · 2026-05-19 · stat.ML · cs.LG · math.OC

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FCX7CCB33SGQQJ5WLU2EE2HVY}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-20T01:05:54.910794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9457f8841dee468413db2e9a21347ae10cb940ff03fee697a0d759c46e7c1fb

Aliases

arxiv: 2605.19629 · arxiv_version: 2605.19629v1 · doi: 10.48550/arxiv.2605.19629 · pith_short_12: 5FCX7CCB33SG · pith_short_16: 5FCX7CCB33SGQQJ5 · pith_short_8: 5FCX7CCB

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/5FCX7CCB33SGQQJ5WLU2EE2HVY \
  | 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: e9457f8841dee468413db2e9a21347ae10cb940ff03fee697a0d759c46e7c1fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da720f635209598e26aa6a554c3f70642496c5545a912b306ed383515a52c0bb",
    "cross_cats_sorted": [
      "cs.LG",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-05-19T10:08:01Z",
    "title_canon_sha256": "022094753b57255db945456a692c278bdc40580e6659324c77e356fb22c097c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19629",
    "kind": "arxiv",
    "version": 1
  }
}