Pith Number

pith:52VDR3UY

pith:2024:52VDR3UY74G2WSY6NOYRKZAWLJ

not attested not anchored not stored refs pending

A Wasserstein perspective of Vanilla GANs

Lea Kunkel, Mathias Trabs

arxiv:2403.15312 v2 · 2024-03-22 · math.ST · cs.LG · stat.ML · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{52VDR3UY74G2WSY6NOYRKZAWLJ}

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

1 paper in Pith

Post-Training Augmentation Invariance

Receipt and verification

First computed	2026-07-05T08:49:32.194697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eeaa38ee98ff0dab4b1e6bb11564165a4937c70b18981e0ccb922bdf32692ea3

Aliases

arxiv: 2403.15312 · arxiv_version: 2403.15312v2 · doi: 10.48550/arxiv.2403.15312 · pith_short_12: 52VDR3UY74G2 · pith_short_16: 52VDR3UY74G2WSY6 · pith_short_8: 52VDR3UY

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/52VDR3UY74G2WSY6NOYRKZAWLJ \
  | 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: eeaa38ee98ff0dab4b1e6bb11564165a4937c70b18981e0ccb922bdf32692ea3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f394759b7baff9496458c51097fc975a346193cd009bba53c82fe29a20fc2765",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2024-03-22T16:04:26Z",
    "title_canon_sha256": "3109d5d139b989d9cb95a09abe6ab77799c09d77f4fb291c7aa073395d8aaab4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2403.15312",
    "kind": "arxiv",
    "version": 2
  }
}