Pith Number

pith:UZKE2T2S

pith:2013:UZKE2T2SVAF2VXWPJFUH3NDRNU

not attested not anchored not stored refs pending

A survey of the Schr\"odinger problem and some of its connections with optimal transport

Christian L\'eonard (MODAL'X)

arxiv:1308.0215 v1 · 2013-08-01 · math.PR · math.FA · math.OC

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UZKE2T2SVAF2VXWPJFUH3NDRNU}

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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

21 papers in Pith

Statistical Matching via Schr\"odinger Bridge beyond Conditional Independence

Scalable Maximum Entropy Reinforcement Learning for Diffusion Policies via Adjoint Matching

SheafStain: Sheaf-Theoretic Schr\"odinger Bridge for Spatially and Biologically Coherent Virtual Staining

FreeBridge: Variational Schr\"odinger Bridges for Cellular Transition Dynamics

Notes on generative modeling: flow matching, diffusion, optimal transport and Schr{\"o}dinger bridge

Receipt and verification

First computed	2026-07-05T04:53:59.316919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6544d4f52a80baadecf49687db4716d13ff3deb8332f23ca7652197e80c9f9d

Aliases

arxiv: 1308.0215 · arxiv_version: 1308.0215v1 · doi: 10.48550/arxiv.1308.0215 · pith_short_12: UZKE2T2SVAF2 · pith_short_16: UZKE2T2SVAF2VXWP · pith_short_8: UZKE2T2S

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/UZKE2T2SVAF2VXWPJFUH3NDRNU \
  | 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: a6544d4f52a80baadecf49687db4716d13ff3deb8332f23ca7652197e80c9f9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e069ff78938a476ddcab12a21be4420a71984fb6d889bc48f781be12ea805b23",
    "cross_cats_sorted": [
      "math.FA",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-08-01T14:16:38Z",
    "title_canon_sha256": "7afdc69ac524c0c6f0a6a151517b9a70750cf9bdc46a83c4cba14a3553107c44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0215",
    "kind": "arxiv",
    "version": 1
  }
}