Pith Number

pith:JJQG64GP

pith:2025:JJQG64GPX7FARPXUPPGZYDELLI

not attested not anchored not stored refs pending

Convergence Analysis of the ProbAbilistic Gradient Estimator Algorithm for Weakly Convex Finite-Sum Optimization

Laurent Condat, Peter Richt\'arik

arxiv:2509.00737 v3 · 2025-08-31 · math.OC · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JJQG64GPX7FARPXUPPGZYDELLI}

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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	2026-07-07T02:19:40.364071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a606f70cfbfca08bef47bcd9c0c8b5a323a08c243173096868dc9ccae3f4458

Aliases

arxiv: 2509.00737 · arxiv_version: 2509.00737v3 · doi: 10.48550/arxiv.2509.00737 · pith_short_12: JJQG64GPX7FA · pith_short_16: JJQG64GPX7FARPXU · pith_short_8: JJQG64GP

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/JJQG64GPX7FARPXUPPGZYDELLI \
  | 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: 4a606f70cfbfca08bef47bcd9c0c8b5a323a08c243173096868dc9ccae3f4458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eab274d1a251b7d8aa21b199d09f5e800b54c0cfc7e9b11ffc3f3bad8d3d198c",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-08-31T08:06:53Z",
    "title_canon_sha256": "f0f03884c5c94dce8a8ad13c55cabdc5799133e2dd078ed5dec40f9878ef7149"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.00737",
    "kind": "arxiv",
    "version": 3
  }
}