Pith Number

pith:KWNF5EW4

pith:2018:KWNF5EW4XZU3CPFDDBXWGLJVBK

not attested not anchored not stored refs pending

Optimistic mirror descent in saddle-point problems: Going the extra (gradient) mile

Bruno Lecouat, Chuan-Sheng Foo, Georgios Piliouras, Houssam Zenati, Panayotis Mertikopoulos, Vijay Chandrasekhar

arxiv:1807.02629 v2 · 2018-07-07 · cs.LG · cs.GT · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KWNF5EW4XZU3CPFDDBXWGLJVBK}

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.

Cited by

2 papers in Pith

Metric-Gradient Projection for Stable Multi-Agent Policy Learning

Lightweight Geometric Adaptation for Training Physics-Informed Neural Networks

Receipt and verification

First computed	2026-05-18T00:04:22.587232Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

559a5e92dcbe69b13ca3186f632d350a9c1f8aa1d84684520eda99a08168cd15

Aliases

arxiv: 1807.02629 · arxiv_version: 1807.02629v2 · doi: 10.48550/arxiv.1807.02629 · pith_short_12: KWNF5EW4XZU3 · pith_short_16: KWNF5EW4XZU3CPFD · pith_short_8: KWNF5EW4

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/KWNF5EW4XZU3CPFDDBXWGLJVBK \
  | 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: 559a5e92dcbe69b13ca3186f632d350a9c1f8aa1d84684520eda99a08168cd15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40aab3e49f50238c4e7a9d6d189747f571a95c5bfa1e511cf02313a220674d37",
    "cross_cats_sorted": [
      "cs.GT",
      "math.OC",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-07-07T08:08:33Z",
    "title_canon_sha256": "e72466ad1ca2d44c162212f5747399eb9a9d508a3f2df71f9cf0f6e9e6379555"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.02629",
    "kind": "arxiv",
    "version": 2
  }
}