Pith Number

pith:WKYHCY3W

pith:2026:WKYHCY3W4NBNNCTMZR3K4YVHFC

not attested not anchored not stored refs pending

Local exponential stability of mean-field Langevin descent-ascent and associated particle system

Beomjun Choi, Geuntaek Seo, Minseop Shin, Pierre Monmarch\'e

arxiv:2602.01564 v2 · 2026-02-02 · cs.LG · math.AP · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WKYHCY3W4NBNNCTMZR3K4YVHFC}

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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

2 papers in Pith

PL conditions do not guarantee convergence of gradient descent-ascent dynamics

Oscillating solutions to the mean-field Langevin descent-ascent flow

Receipt and verification

First computed	2026-07-03T01:17:17.057928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2b0716376e342d68a6ccc76ae62a728be35e1bb42d118ad3b43f85cd7bae84f

Aliases

arxiv: 2602.01564 · arxiv_version: 2602.01564v2 · doi: 10.48550/arxiv.2602.01564 · pith_short_12: WKYHCY3W4NBN · pith_short_16: WKYHCY3W4NBNNCTM · pith_short_8: WKYHCY3W

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/WKYHCY3W4NBNNCTMZR3K4YVHFC \
  | 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: b2b0716376e342d68a6ccc76ae62a728be35e1bb42d118ad3b43f85cd7bae84f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a3d90bd071347cb4fe5441979ade6042ad206d2b9dca7facbf27f1544dbafe0",
    "cross_cats_sorted": [
      "math.AP",
      "math.OC",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-02-02T02:58:17Z",
    "title_canon_sha256": "3bae41d6fb536973ba32990fe74d9600f87523a6e6ebe2839d2506fbc1b8f29f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.01564",
    "kind": "arxiv",
    "version": 2
  }
}