Pith Number

pith:4DFYG7FA

pith:2026:4DFYG7FAZC23MBKIB323TFCYVF

not attested not anchored not stored refs pending

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

Titouan Vayer (COMPACT)

arxiv:2606.30053 v1 · 2026-06-29 · 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{4DFYG7FAZC23MBKIB323TFCYVF}

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	2026-06-30T02:17:47.589961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0cb837ca0c8b5b605480ef5b99458a976781950ca2e06a71e9269aa56b8e107

Aliases

arxiv: 2606.30053 · arxiv_version: 2606.30053v1 · doi: 10.48550/arxiv.2606.30053 · pith_short_12: 4DFYG7FAZC23 · pith_short_16: 4DFYG7FAZC23MBKI · pith_short_8: 4DFYG7FA

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/4DFYG7FAZC23MBKIB323TFCYVF \
  | 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: e0cb837ca0c8b5b605480ef5b99458a976781950ca2e06a71e9269aa56b8e107

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b0afcdec08ca4cdaadc9ccc5bd386b8cbdae4147fe1fa0a2e3f9313101227d6",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-06-29T09:44:51Z",
    "title_canon_sha256": "b8670035b5587d12dcfe18b04475feaf2956052bbafd37a5129ad92dea6c7f77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.30053",
    "kind": "arxiv",
    "version": 1
  }
}