Pith Number

pith:WKFUYAXD

pith:2019:WKFUYAXDBPEUE22EFCVIKWVJS7

not attested not anchored not stored refs pending

Regularity as Regularization: Smooth and Strongly Convex Brenier Potentials in Optimal Transport

Alexandre d'Aspremont, Fran\c{c}ois-Pierre Paty, Marco Cuturi

arxiv:1905.10812 v5 · 2019-05-26 · 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{WKFUYAXDBPEUE22EFCVIKWVJS7}

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	2026-07-05T01:17:37.613844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b28b4c02e30bc9426b4428aa855aa997ce4a5aae08da18d84ca3229615c4c350

Aliases

arxiv: 1905.10812 · arxiv_version: 1905.10812v5 · doi: 10.48550/arxiv.1905.10812 · pith_short_12: WKFUYAXDBPEU · pith_short_16: WKFUYAXDBPEUE22E · pith_short_8: WKFUYAXD

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/WKFUYAXDBPEUE22EFCVIKWVJS7 \
  | 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: b28b4c02e30bc9426b4428aa855aa997ce4a5aae08da18d84ca3229615c4c350

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee11b775001fd0c528b246e1fabfd76edc5ed27fa29fb97ef1ef59c8679f8ddc",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2019-05-26T15:17:19Z",
    "title_canon_sha256": "15740c3a2387e82a68c2b483914c9611f009de33b8bd62f4591cb1556d4b6fff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.10812",
    "kind": "arxiv",
    "version": 5
  }
}