Pith Number

pith:UE37JQ35

pith:2018:UE37JQ35FFJRN3PQHOBT4SIE2N

not attested not anchored not stored refs pending

How Well Generative Adversarial Networks Learn Distributions

Tengyuan Liang

arxiv:1811.03179 v4 · 2018-11-07 · 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{UE37JQ35FFJRN3PQHOBT4SIE2N}

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

Causal Inference for Spatial Treatments

Receipt and verification

First computed	2026-07-05T03:21:03.661883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a137f4c37d295316edf03b833e4904d34e7703b6f9996257a30cedf5d89694b6

Aliases

arxiv: 1811.03179 · arxiv_version: 1811.03179v4 · doi: 10.48550/arxiv.1811.03179 · pith_short_12: UE37JQ35FFJR · pith_short_16: UE37JQ35FFJRN3PQ · pith_short_8: UE37JQ35

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/UE37JQ35FFJRN3PQHOBT4SIE2N \
  | 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: a137f4c37d295316edf03b833e4904d34e7703b6f9996257a30cedf5d89694b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d342f4797e1750d5a92acbcfe8fc4fb56ac5ec167367f19a95496628e774f66",
    "cross_cats_sorted": [
      "cs.LG",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2018-11-07T23:14:45Z",
    "title_canon_sha256": "511c857cdcac98e9b0a6fe0a98055a6391280cab19b5dbd2ec9e7599225dbce5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03179",
    "kind": "arxiv",
    "version": 4
  }
}