Pith Number

pith:TYBPR4EU

pith:2022:TYBPR4EUPN54FN4JICCCRLZFVN

not attested not anchored not stored refs pending

Universal approximation property of invertible neural networks

Isao Ishikawa, Kenta Oono, Koichi Tojo, Masahiro Ikeda, Masashi Sugiyama, Takeshi Teshima

arxiv:2204.07415 v1 · 2022-04-15 · cs.LG · cs.NE · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TYBPR4EUPN54FN4JICCCRLZFVN}

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	2026-07-05T04:15:03.792401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e02f8f0947b7bc2b789408428af25ab773ec9042dc3815664cb2adf12f940d0

Aliases

arxiv: 2204.07415 · arxiv_version: 2204.07415v1 · doi: 10.48550/arxiv.2204.07415 · pith_short_12: TYBPR4EUPN54 · pith_short_16: TYBPR4EUPN54FN4J · pith_short_8: TYBPR4EU

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/TYBPR4EUPN54FN4JICCCRLZFVN \
  | 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: 9e02f8f0947b7bc2b789408428af25ab773ec9042dc3815664cb2adf12f940d0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ac3ae2d438698e62b6e33ec9d1dc43ad4a038133b733f0df6df8317699927ed",
    "cross_cats_sorted": [
      "cs.NE",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2022-04-15T10:45:26Z",
    "title_canon_sha256": "df04840675ed61ad975f1d4eec62358fe5e3604f9cc98ac6149b4c6468381c60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.07415",
    "kind": "arxiv",
    "version": 1
  }
}