Pith Number

pith:HCEWYHTD

pith:2017:HCEWYHTDQW7JC57JGH2SVCLGOF

not attested not anchored not stored refs pending

How Well Can Generative Adversarial Networks Learn Densities: A Nonparametric View

Tengyuan Liang

arxiv:1712.08244 v2 · 2017-12-21 · stat.ML · cs.LG · math.ST · 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{HCEWYHTDQW7JC57JGH2SVCLGOF}

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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

Fast Wasserstein rates for estimating probability distributions of probabilistic graphical models

Receipt and verification

First computed	2026-05-18T00:23:07.941878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38896c1e6385be9177e931f52a896671553a9cecb507ac6bbb73fd6b468abce7

Aliases

arxiv: 1712.08244 · arxiv_version: 1712.08244v2 · doi: 10.48550/arxiv.1712.08244 · pith_short_12: HCEWYHTDQW7J · pith_short_16: HCEWYHTDQW7JC57J · pith_short_8: HCEWYHTD

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/HCEWYHTDQW7JC57JGH2SVCLGOF \
  | 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: 38896c1e6385be9177e931f52a896671553a9cecb507ac6bbb73fd6b468abce7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a548aa0d9b2b59089c8074857f3ab16e31c2dee1992249711b81eb9feb59b039",
    "cross_cats_sorted": [
      "cs.LG",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2017-12-21T23:13:27Z",
    "title_canon_sha256": "10ec707de1c05e9634c4080d8de2c919a8bc070a28cd73669525ce987e48e794"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08244",
    "kind": "arxiv",
    "version": 2
  }
}