Pith Number

pith:2I77I7HQ

pith:2020:2I77I7HQES7XUNGZ5B3CKQD4ED

not attested not anchored not stored refs pending

The ELBO of Variational Autoencoders Converges to a Sum of Three Entropies

Asja Fischer, Dennis Forster, Dmytro Velychko, J\"org L\"ucke, Simon Damm, Zhenwen Dai

arxiv:2010.14860 v5 · 2020-10-28 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2I77I7HQES7XUNGZ5B3CKQD4ED}

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	2026-07-05T08:13:06.169334Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d23ff47cf024bf7a34d9e87625407c20ca42bbfb0b3eb43258865e5e650f1222

Aliases

arxiv: 2010.14860 · arxiv_version: 2010.14860v5 · doi: 10.48550/arxiv.2010.14860 · pith_short_12: 2I77I7HQES7X · pith_short_16: 2I77I7HQES7XUNGZ · pith_short_8: 2I77I7HQ

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/2I77I7HQES7XUNGZ5B3CKQD4ED \
  | 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: d23ff47cf024bf7a34d9e87625407c20ca42bbfb0b3eb43258865e5e650f1222

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2074303a9ce32212c67e9f93686701e89b2347a0d884529b99c4e7beb50a4e8a",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2020-10-28T10:13:28Z",
    "title_canon_sha256": "9935b64f98fa663936b603861908a5091d9ae9e6544464aefe850dc31dca2ed3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.14860",
    "kind": "arxiv",
    "version": 5
  }
}