Pith Number

pith:XPN5SYRO

pith:2023:XPN5SYRO7ZQ5IRSUSGBMLS4VVT

not attested not anchored not stored refs pending

Bayesian Free Energy of Deep ReLU Neural Network in Overparametrized Cases

Shuya Nagayasu, Sumio Watanabe

arxiv:2303.15739 v3 · 2023-03-28 · cs.LG · 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{XPN5SYRO7ZQ5IRSUSGBMLS4VVT}

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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

PAC-Bayes Bounds for Gibbs Posteriors via Singular Learning Theory

Receipt and verification

First computed	2026-07-05T06:02:50.363031Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbdbd9622efe61d446549182c5cb95accae46999c3f30bfe51840ef0ae18aa68

Aliases

arxiv: 2303.15739 · arxiv_version: 2303.15739v3 · doi: 10.48550/arxiv.2303.15739 · pith_short_12: XPN5SYRO7ZQ5 · pith_short_16: XPN5SYRO7ZQ5IRSU · pith_short_8: XPN5SYRO

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/XPN5SYRO7ZQ5IRSUSGBMLS4VVT \
  | 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: bbdbd9622efe61d446549182c5cb95accae46999c3f30bfe51840ef0ae18aa68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a22d8cc05e0f01a6cb91c3c118537e8a81b7ddbdd085842b765c723eff5fb1c6",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-03-28T05:27:32Z",
    "title_canon_sha256": "d496e8b9d8ae206652ac329df28a9e7c8c404d8c160be0f3bbca2874eb3f7e7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.15739",
    "kind": "arxiv",
    "version": 3
  }
}