Pith Number

pith:SXCF3O3V

pith:2025:SXCF3O3VI33OKDZZOBF4FDOZSS

not attested not anchored not stored refs pending

Linear Convergence of Gradient Descent for Quadratically Regularized Optimal Transport

Alberto Gonz\'alez-Sanz, Andr\'es Riveros Valdevenito, Marcel Nutz

arxiv:2509.08547 v3 · 2025-09-10 · math.OC · math.AP · math.FA · 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{SXCF3O3VI33OKDZZOBF4FDOZSS}

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.

Receipt and verification

First computed	2026-05-20T02:05:35.657628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95c45dbb7546f6e50f39704bc28dd9948123dc80247849a4c3dc267f3c707fd6

Aliases

arxiv: 2509.08547 · arxiv_version: 2509.08547v3 · doi: 10.48550/arxiv.2509.08547 · pith_short_12: SXCF3O3VI33O · pith_short_16: SXCF3O3VI33OKDZZ · pith_short_8: SXCF3O3V

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/SXCF3O3VI33OKDZZOBF4FDOZSS \
  | 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: 95c45dbb7546f6e50f39704bc28dd9948123dc80247849a4c3dc267f3c707fd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52cd4fd01ebbfe4c0344930a6816f4e97f503d9f40ecd8ab77b27a5da056a59c",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-09-10T12:52:47Z",
    "title_canon_sha256": "a1b9a828ebefa8544238e4fec3466dac1255aeff2f8de074202808fc1d5a92ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.08547",
    "kind": "arxiv",
    "version": 3
  }
}