Pith Number

pith:2433FMDZ

pith:2024:2433FMDZKMKYQXBA4P26T7MSXF

not attested not anchored not stored refs pending

Entropic Semi-Martingale Optimal Transport

Fran\c{c}ois-Xavier Vialard, Gr\'egoire Loeper, Guillaume Chazareix, Jean-David Benamou, Marc Hoffmann

arxiv:2408.09361 v3 · 2024-08-18 · math.OC

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2433FMDZKMKYQXBA4P26T7MSXF}

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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

2 papers in Pith

Semimartingale Optimal Transport with Jumps: A General Framework and Equivalent Formulations

The Wasserstein--Ebin Metric: A Geometric Lift of Unbalanced Optimal Transport to the space of Riemannian metrics

Receipt and verification

First computed	2026-07-05T09:49:44.423367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d737b2b0795315885c20e3f5e9fd92b970f1ecd0166e21c36ff3fe9b9613a090

Aliases

arxiv: 2408.09361 · arxiv_version: 2408.09361v3 · doi: 10.48550/arxiv.2408.09361 · pith_short_12: 2433FMDZKMKY · pith_short_16: 2433FMDZKMKYQXBA · pith_short_8: 2433FMDZ

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/2433FMDZKMKYQXBA4P26T7MSXF \
  | 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: d737b2b0795315885c20e3f5e9fd92b970f1ecd0166e21c36ff3fe9b9613a090

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43ba442e1b0b63afa3e051cd0f13d18f31aee9d6cabb9c11a938c6f1cd06c1ad",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2024-08-18T05:00:01Z",
    "title_canon_sha256": "21a9e13fea31b1c5b5871f9409119a6fab27efe4a9b239ed0068dc489f3a8c33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.09361",
    "kind": "arxiv",
    "version": 3
  }
}