Pith Number

pith:NW5SQEBA

pith:2025:NW5SQEBAGP6M6WY67PEP5BYZX6

not attested not anchored not stored refs pending

Towards Understanding Gradient Dynamics of the Sliced-Wasserstein Distance via Critical Point Analysis

Anna Korba, Christophe Vauthier, Quentin M\'erigot

arxiv:2502.06525 v2 · 2025-02-10 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NW5SQEBAGP6M6WY67PEP5BYZX6}

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

Convergence of empirical subgradients for optimal transport-based objectives

Receipt and verification

First computed	2026-07-05T11:56:43.493400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6dbb28102033fccf5b1efbc8fe8719bf8cb3fccd9671a6a9cccf892b10ff15e9

Aliases

arxiv: 2502.06525 · arxiv_version: 2502.06525v2 · doi: 10.48550/arxiv.2502.06525 · pith_short_12: NW5SQEBAGP6M · pith_short_16: NW5SQEBAGP6M6WY6 · pith_short_8: NW5SQEBA

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/NW5SQEBAGP6M6WY67PEP5BYZX6 \
  | 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: 6dbb28102033fccf5b1efbc8fe8719bf8cb3fccd9671a6a9cccf892b10ff15e9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fee92bc10f8eca69d44fcc842601dc82160f734fbd8137cec92f9cf84054d009",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2025-02-10T14:49:22Z",
    "title_canon_sha256": "36240c052d8badb199b01357c70484c5a4a3a752f4405b4a5cc069e9e34481f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06525",
    "kind": "arxiv",
    "version": 2
  }
}