Pith Number

pith:DO6O62WJ

pith:2024:DO6O62WJCRY3ROJ3ITOU2GOMLW

not attested not anchored not stored refs pending

Quantum optimal transport with convex regularization

Augusto Gerolin, Emanuele Caputo, Lorenzo Portinale, Nataliia Monina

arxiv:2409.03698 v2 · 2024-09-05 · math-ph · math.MP · 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{DO6O62WJCRY3ROJ3ITOU2GOMLW}

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.

Cited by

1 paper in Pith

Wasserstein Distances on Quantum Structures: an Overview

Receipt and verification

First computed	2026-07-05T11:27:19.755208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1bbcef6ac91471b8b93b44dd4d19cc5db824a90af0a3bc5828861756a9df3add

Aliases

arxiv: 2409.03698 · arxiv_version: 2409.03698v2 · doi: 10.48550/arxiv.2409.03698 · pith_short_12: DO6O62WJCRY3 · pith_short_16: DO6O62WJCRY3ROJ3 · pith_short_8: DO6O62WJ

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/DO6O62WJCRY3ROJ3ITOU2GOMLW \
  | 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: 1bbcef6ac91471b8b93b44dd4d19cc5db824a90af0a3bc5828861756a9df3add

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77fc4806f4b716aa8895bf1e797548933cac97a2b13275d6ad1be8f22c40e087",
    "cross_cats_sorted": [
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-09-05T16:55:33Z",
    "title_canon_sha256": "cdb16d60372b0af26a9536bd3d09a3b69e7d4297878335501239af7582724bc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.03698",
    "kind": "arxiv",
    "version": 2
  }
}