Pith Number

pith:64VZZKRA

pith:2026:64VZZKRAOJO7ACNUZFVNVPE5AF

not attested not anchored not stored refs pending

Difference of Convex Programming in the Wasserstein Space with Applications to MMD Optimization

Cl\'ement Bonet, Pierre-Cyril Aubin-Frankowski, Youssef Mroueh

arxiv:2606.27767 v1 · 2026-06-26 · cs.LG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{64VZZKRAOJO7ACNUZFVNVPE5AF}

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	2026-06-29T01:14:47.811650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f72b9caa20725df009b4c96adabc9d0175faed28cc35d31efc053f4bd93f4623

Aliases

arxiv: 2606.27767 · arxiv_version: 2606.27767v1 · doi: 10.48550/arxiv.2606.27767 · pith_short_12: 64VZZKRAOJO7 · pith_short_16: 64VZZKRAOJO7ACNU · pith_short_8: 64VZZKRA

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/64VZZKRAOJO7ACNUZFVNVPE5AF \
  | 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: f72b9caa20725df009b4c96adabc9d0175faed28cc35d31efc053f4bd93f4623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93e05e7eab9f69bd4afdef9e8556f0b01dc5e596ba6c719b7971238043a213db",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2026-06-26T06:53:03Z",
    "title_canon_sha256": "9fe92f4aac14233621f899f60241812583d92866f01d14778d422eccb0830cb0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27767",
    "kind": "arxiv",
    "version": 1
  }
}