Pith Number

pith:2OIDSF5G

pith:2022:2OIDSF5GZZLR5S2CONNZLBVERH

not attested not anchored not stored refs pending

Kantorovich Strikes Back! Wasserstein GANs are not Optimal Transport?

Alexander Kolesov, Alexander Korotin, Evgeny Burnaev

arxiv:2206.07767 v2 · 2022-06-15 · 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{2OIDSF5GZZLR5S2CONNZLBVERH}

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	2026-07-05T05:31:15.074277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3903917a6ce571ecb42735b9586a489c17daafffba3c23d25b75f4ee9fffa7a

Aliases

arxiv: 2206.07767 · arxiv_version: 2206.07767v2 · doi: 10.48550/arxiv.2206.07767 · pith_short_12: 2OIDSF5GZZLR · pith_short_16: 2OIDSF5GZZLR5S2C · pith_short_8: 2OIDSF5G

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/2OIDSF5GZZLR5S2CONNZLBVERH \
  | 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: d3903917a6ce571ecb42735b9586a489c17daafffba3c23d25b75f4ee9fffa7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ea10ab271311aea4c4c19098ac20bcd9b6158e9289c9b71d95131c04ff425c6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-06-15T19:07:46Z",
    "title_canon_sha256": "ee60d57cc8caf7a8f2d6908db4a3c487012a23fca6aba12954c4bd769212dccc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.07767",
    "kind": "arxiv",
    "version": 2
  }
}