Pith Number

pith:O6L4KVSZ

pith:2024:O6L4KVSZMHECJJEXE6XCXOQE3S

not attested not anchored not stored refs pending

On a Neural Implementation of Brenier's Polar Factorization

Marco Cuturi, Nina Vesseron

arxiv:2403.03071 v4 · 2024-03-05 · 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{O6L4KVSZMHECJJEXE6XCXOQE3S}

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	2026-07-05T11:09:58.086818Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7797c5565961c824a49727ae2bba04dc822657cf38cfaa22cdff242bd8b5a0db

Aliases

arxiv: 2403.03071 · arxiv_version: 2403.03071v4 · doi: 10.48550/arxiv.2403.03071 · pith_short_12: O6L4KVSZMHEC · pith_short_16: O6L4KVSZMHECJJEX · pith_short_8: O6L4KVSZ

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/O6L4KVSZMHECJJEXE6XCXOQE3S \
  | 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: 7797c5565961c824a49727ae2bba04dc822657cf38cfaa22cdff242bd8b5a0db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4019a3cc92f576bbcbbb94bf7e1847aa705c0f2b74fbd6cd15efcab6ee19d29",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2024-03-05T15:59:54Z",
    "title_canon_sha256": "0706a50cc90b29dbe0ce76b34763781e5d5f0468d1068a5901e644fddd863209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.03071",
    "kind": "arxiv",
    "version": 4
  }
}