Pith Number

pith:NQWDAFSL

pith:2024:NQWDAFSLYJ5WKSCZROWXZBR5UH

not attested not anchored not stored refs pending

Coupled Wasserstein Gradient Flows for Min-Max and Cooperative Games

Eric Mazumdar, Franca Hoffmann, Lauren Conger, Lillian J. Ratliff

arxiv:2411.07403 v2 · 2024-11-11 · math.AP · 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{NQWDAFSLYJ5WKSCZROWXZBR5UH}

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

1 paper in Pith

On gradient descent-ascent flows in metric spaces

Receipt and verification

First computed	2026-07-05T10:12:02.142039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c2c30164bc27b6548598bad7c863da1da67bc1c4fe552b7f49d9b773df884ca

Aliases

arxiv: 2411.07403 · arxiv_version: 2411.07403v2 · doi: 10.48550/arxiv.2411.07403 · pith_short_12: NQWDAFSLYJ5W · pith_short_16: NQWDAFSLYJ5WKSCZ · pith_short_8: NQWDAFSL

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/NQWDAFSLYJ5WKSCZROWXZBR5UH \
  | 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: 6c2c30164bc27b6548598bad7c863da1da67bc1c4fe552b7f49d9b773df884ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd36cda75a04fe603c50128c8a590b118f7870df90e8518d525bfa8492d66d8c",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-11T22:19:41Z",
    "title_canon_sha256": "15e507178fcc5892d1fb8266fe3548176c8efa8c91677a95f0cda95d99a25f3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.07403",
    "kind": "arxiv",
    "version": 2
  }
}