Pith Number

pith:X2E3O35K

pith:2021:X2E3O35KESQ3RGOFUSPATTUAZ3

not attested not anchored not stored refs pending

Rates of convergence for density estimation with generative adversarial networks

Alexey Naumov, Denis Belomestny, Eric Moulines, Nikita Puchkin, Sergey Samsonov

arxiv:2102.00199 v4 · 2021-01-30 · math.ST · 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{X2E3O35KESQ3RGOFUSPATTUAZ3}

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	2026-07-05T07:37:09.541084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be89b76faa24a1b899c5a49e09ce80cec1b5219e3fb7ad6bd209ade78d6d0c20

Aliases

arxiv: 2102.00199 · arxiv_version: 2102.00199v4 · doi: 10.48550/arxiv.2102.00199 · pith_short_12: X2E3O35KESQ3 · pith_short_16: X2E3O35KESQ3RGOF · pith_short_8: X2E3O35K

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/X2E3O35KESQ3RGOFUSPATTUAZ3 \
  | 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: be89b76faa24a1b899c5a49e09ce80cec1b5219e3fb7ad6bd209ade78d6d0c20

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4fc55bddaa143b5242c26e19d5e86892c807a06a9b25b176060e6edaf6f88d7e",
    "cross_cats_sorted": [
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2021-01-30T09:59:14Z",
    "title_canon_sha256": "d18efe64929c99b4cb76d25dbada820c0b0bd62818e99a64b1bbc76a5d1968b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.00199",
    "kind": "arxiv",
    "version": 4
  }
}