Pith Number

pith:BXNMF3XB

pith:2020:BXNMF3XB2ALFDKMRJRHO2CGZGR

not attested not anchored not stored refs pending

Some Theoretical Insights into Wasserstein GANs

G\'erard Biau (LPSM (UMR\_8001)), Maxime Sangnier (LPSM (UMR\_8001)), Ugo Tanielian (LPSM (UMR\_8001))

arxiv:2006.02682 v2 · 2020-06-04 · cs.LG · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BXNMF3XB2ALFDKMRJRHO2CGZGR}

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	2026-07-05T02:50:27.110804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ddac2eee1d01651a9914c4eed08d9345364dbb5911be1bc207e80cce2cd9f0d

Aliases

arxiv: 2006.02682 · arxiv_version: 2006.02682v2 · doi: 10.48550/arxiv.2006.02682 · pith_short_12: BXNMF3XB2ALF · pith_short_16: BXNMF3XB2ALFDKMR · pith_short_8: BXNMF3XB

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/BXNMF3XB2ALFDKMRJRHO2CGZGR \
  | 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: 0ddac2eee1d01651a9914c4eed08d9345364dbb5911be1bc207e80cce2cd9f0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27ce50b466e1e107c6dc77198ca95a39d20c5b3ff76f389789693531a9225993",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-06-04T07:55:41Z",
    "title_canon_sha256": "bdbd3c5f2daaf1014600c6d971457423b7139f9fcb396fe61057244b33f4fee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.02682",
    "kind": "arxiv",
    "version": 2
  }
}