Pith Number

pith:V7ZOC2T2

pith:2026:V7ZOC2T24SMMSDTBJFARJWIA4A

not attested not anchored not stored refs pending

Polyak-Lojasiewicz Inequality for Quadratically Regularized Optimal Transport

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

arxiv:2605.27175 v1 · 2026-05-26 · math.OC · math.AP · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{V7ZOC2T24SMMSDTBJFARJWIA4A}

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	2026-05-27T02:05:46.419181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aff2e16a7ae498c90e61494114d900e007f6de2a0803eee8ac6dfb06ea300ed4

Aliases

arxiv: 2605.27175 · arxiv_version: 2605.27175v1 · doi: 10.48550/arxiv.2605.27175 · pith_short_12: V7ZOC2T24SMM · pith_short_16: V7ZOC2T24SMMSDTB · pith_short_8: V7ZOC2T2

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/V7ZOC2T24SMMSDTBJFARJWIA4A \
  | 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: aff2e16a7ae498c90e61494114d900e007f6de2a0803eee8ac6dfb06ea300ed4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e13d1ee6cc3b0a4663c34cef601f389eea2d226cb6789e5d0d35052e72bf0b5e",
    "cross_cats_sorted": [
      "math.AP",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-26T15:29:35Z",
    "title_canon_sha256": "cb97ccf6e609c9ff07e1447db8b71502653cb32a85adfd7772091b2f000e9cc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.27175",
    "kind": "arxiv",
    "version": 1
  }
}