Pith Number

pith:XXD3NETV

pith:2025:XXD3NETVYQOKVQOKA2TCCLLT7J

not attested not anchored not stored refs pending

Doubly Smoothed Optimistic Gradients: A Universal Approach for Smooth Minimax Problems

Anthony Man-Cho So, Jiajin Li, Taoli Zheng

arxiv:2506.07397 v1 · 2025-06-09 · 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{XXD3NETVYQOKVQOKA2TCCLLT7J}

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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

A first-order method for nonconvex-nonconcave minimax problems under a local Kurdyka-Lojasiewicz condition

Receipt and verification

First computed	2026-07-05T11:18:26.525887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdc7b69275c41caac1ca06a6212d73fa42845fd691b8535366dbd0cbdcbb9b2c

Aliases

arxiv: 2506.07397 · arxiv_version: 2506.07397v1 · doi: 10.48550/arxiv.2506.07397 · pith_short_12: XXD3NETVYQOK · pith_short_16: XXD3NETVYQOKVQOK · pith_short_8: XXD3NETV

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/XXD3NETVYQOKVQOKA2TCCLLT7J \
  | 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: bdc7b69275c41caac1ca06a6212d73fa42845fd691b8535366dbd0cbdcbb9b2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7faf8ad072663f587ed06a547bef956acb28cd0c8bcbfa35945539db8676d59c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-09T03:39:21Z",
    "title_canon_sha256": "53d44c04418bb1c4c97c195eff5f75f5da0f2d923c0c614597299a84d78a60bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07397",
    "kind": "arxiv",
    "version": 1
  }
}