Pith Number

pith:HZ4EPYJ7

pith:2026:HZ4EPYJ7IYGJ3JNRFEUK3JHQ6G

not attested not anchored not stored refs pending

Quadratically Regularized Optimal Transport: Localization Bounds and Affine Case Analysis

Binh Nguyen, Long Nguyen-Chi, Nam Nguyen

arxiv:2605.24644 v1 · 2026-05-23 · math.OC · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZ4EPYJ7IYGJ3JNRFEUK3JHQ6G}

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	2026-05-26T01:03:50.871671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e7847e13f460c9da5b12928ada4f0f1bedf104ed7b0bcf9e734dc7ee36867db

Aliases

arxiv: 2605.24644 · arxiv_version: 2605.24644v1 · doi: 10.48550/arxiv.2605.24644 · pith_short_12: HZ4EPYJ7IYGJ · pith_short_16: HZ4EPYJ7IYGJ3JNR · pith_short_8: HZ4EPYJ7

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/HZ4EPYJ7IYGJ3JNRFEUK3JHQ6G \
  | 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: 3e7847e13f460c9da5b12928ada4f0f1bedf104ed7b0bcf9e734dc7ee36867db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d2600d0f2a717948d89eafe809c2b62564023a743a7732a41b8125f43509f871",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-23T16:21:03Z",
    "title_canon_sha256": "713da8b17017f6faf22c8a4775bd046d045c1fee270c1c70272400e52fc91b74"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.24644",
    "kind": "arxiv",
    "version": 1
  }
}