Pith Number

pith:OTGUGJFP

pith:2026:OTGUGJFPP4YRPVG6SCRLVKZ24P

not attested not anchored not stored refs pending

Finite-sample bounds for regularized optimal transport

Alberto Gonz\'alez-Sanz, Austin J. Stromme, Marcel Nutz

arxiv:2606.25947 v1 · 2026-06-24 · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OTGUGJFPP4YRPVG6SCRLVKZ24P}

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	2026-06-25T01:18:44.034877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74cd4324af7f3117d4de90a2baab3ae3d1ff1caf036dd779aca391d85ce60fb8

Aliases

arxiv: 2606.25947 · arxiv_version: 2606.25947v1 · doi: 10.48550/arxiv.2606.25947 · pith_short_12: OTGUGJFPP4YR · pith_short_16: OTGUGJFPP4YRPVG6 · pith_short_8: OTGUGJFP

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/OTGUGJFPP4YRPVG6SCRLVKZ24P \
  | 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: 74cd4324af7f3117d4de90a2baab3ae3d1ff1caf036dd779aca391d85ce60fb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c9c9c5e7be8dc35c3daf26c4a8f75987da8443acd1cb9256c1e91a2573a3fa3",
    "cross_cats_sorted": [
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2026-06-24T15:22:57Z",
    "title_canon_sha256": "c608061b1fc5b7fbd5356b3f2a4248e73a2361165e7abb8bb9b6d62bddf51d38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25947",
    "kind": "arxiv",
    "version": 1
  }
}