Pith Number

pith:VWEKOWEL

pith:2025:VWEKOWELMDX5BLPRZ3M7HPWXXQ

not attested not anchored not stored refs pending

Totally convex functions, $L^2$-Optimal transport for laws of random measures, and solution to the Monge problem

Alessandro Pinzi, Giuseppe Savar\'e

arxiv:2509.01768 v1 · 2025-09-01 · math.FA · math.OC · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VWEKOWELMDX5BLPRZ3M7HPWXXQ}

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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

4 papers in Pith

On the stability of proximal operators in Wasserstein spaces under different notions of convexity

$L^2$ over Wasserstein: Statistical Analysis for Optimal Transport

Bridging classical and martingale Schr\"odinger bridges

Adapted Optimal Transport between Filtered Gaussian Processes

Receipt and verification

First computed	2026-07-05T12:03:07.844289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad88a7588b60efd0adf1ced9f3bed7bc3ab4988d097cf7366ff98afcbe4da8c6

Aliases

arxiv: 2509.01768 · arxiv_version: 2509.01768v1 · doi: 10.48550/arxiv.2509.01768 · pith_short_12: VWEKOWELMDX5 · pith_short_16: VWEKOWELMDX5BLPR · pith_short_8: VWEKOWEL

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/VWEKOWELMDX5BLPRZ3M7HPWXXQ \
  | 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: ad88a7588b60efd0adf1ced9f3bed7bc3ab4988d097cf7366ff98afcbe4da8c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "03a01618ebdc4714f8e3a3a047673a3a8b45ca01c9f0913924a48223876f65df",
    "cross_cats_sorted": [
      "math.OC",
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2025-09-01T21:03:21Z",
    "title_canon_sha256": "fc272766516dbe89d6d6390605f7e1f40aeace4f3a4205f2f4f188bc270d3993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.01768",
    "kind": "arxiv",
    "version": 1
  }
}