Pith Number

pith:BVG4CROW

pith:2021:BVG4CROWGEHJJ3UXHVQXEHNHAD

not attested not anchored not stored refs pending

Generative Modeling with Optimal Transport Maps

Alexander Korotin, Evgeny Burnaev, Litu Rout

arxiv:2110.02999 v2 · 2021-10-06 · 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{BVG4CROWGEHJJ3UXHVQXEHNHAD}

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

5 papers in Pith

Stability of the Monge Map in Semi-Dual Optimal Transport

Implicit Neural Optimal Transport via Fixed-Point Optimization

Stability of the Monge Map in Semi-Dual Optimal Transport

Flow Straight and Fast: Learning to Generate and Transfer Data with Rectified Flow

Receipt and verification

First computed	2026-07-05T04:02:19.858483Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d4dc145d6310e94ee973d61721da700fbcfeb6abfdde172554c5c08724ccfc8

Aliases

arxiv: 2110.02999 · arxiv_version: 2110.02999v2 · doi: 10.48550/arxiv.2110.02999 · pith_short_12: BVG4CROWGEHJ · pith_short_16: BVG4CROWGEHJJ3UX · pith_short_8: BVG4CROW

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/BVG4CROWGEHJJ3UXHVQXEHNHAD \
  | 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: 0d4dc145d6310e94ee973d61721da700fbcfeb6abfdde172554c5c08724ccfc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02dfb960042b20c0d5b1008257670b4ceeccf17f12a1cebb11ad07acee26347b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2021-10-06T18:17:02Z",
    "title_canon_sha256": "ce9e6ab2ab92475c32064ab2eb7c2083da7e79f6e5a573916c6b1763f69a2cbf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.02999",
    "kind": "arxiv",
    "version": 2
  }
}