Pith Number

pith:TVRRAMPH

pith:2025:TVRRAMPHRM3FR53WMUZKYPPHIX

not attested not anchored not stored refs pending

Complexity Lower Bounds of Adaptive Gradient Algorithms for Non-convex Stochastic Optimization under Relaxed Smoothness

Michael Crawshaw, Mingrui Liu

arxiv:2505.04599 v1 · 2025-05-07 · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TVRRAMPHRM3FR53WMUZKYPPHIX}

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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.

Cited by

1 paper in Pith

Decentralized Stochastic Nonconvex Optimization under the $(L_0,L_1)$-Smoothness

Receipt and verification

First computed	2026-07-05T11:00:10.463512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d631031e78b3658f7766532ac3de745f47a18ec0ae97fe1d9b937c3e9baf8ac

Aliases

arxiv: 2505.04599 · arxiv_version: 2505.04599v1 · doi: 10.48550/arxiv.2505.04599 · pith_short_12: TVRRAMPHRM3F · pith_short_16: TVRRAMPHRM3FR53W · pith_short_8: TVRRAMPH

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/TVRRAMPHRM3FR53WMUZKYPPHIX \
  | 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: 9d631031e78b3658f7766532ac3de745f47a18ec0ae97fe1d9b937c3e9baf8ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d381b44913e863fe54ddf05cf8178167e880cba5836471d5e414e11021bd524",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-05-07T17:40:12Z",
    "title_canon_sha256": "262f72becce754ad8e1f306e2796f090d9f8e22942f421fd81303f09b0de5212"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.04599",
    "kind": "arxiv",
    "version": 1
  }
}