Pith Number

pith:WTAJHMXL

pith:2022:WTAJHMXLTYK5BXZYW2JTXF4RQM

not attested not anchored not stored refs pending

Optimal bump functions for shallow ReLU networks: Weight decay, depth separation and the curse of dimensionality

Stephan Wojtowytsch

arxiv:2209.01173 v1 · 2022-09-02 · 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{WTAJHMXLTYK5BXZYW2JTXF4RQM}

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	2026-07-05T04:54:09.878052Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4c093b2eb9e15d0df38b6933b9791832a768dba9e6adbc34b33000fe7172244

Aliases

arxiv: 2209.01173 · arxiv_version: 2209.01173v1 · doi: 10.48550/arxiv.2209.01173 · pith_short_12: WTAJHMXLTYK5 · pith_short_16: WTAJHMXLTYK5BXZY · pith_short_8: WTAJHMXL

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/WTAJHMXLTYK5BXZYW2JTXF4RQM \
  | 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: b4c093b2eb9e15d0df38b6933b9791832a768dba9e6adbc34b33000fe7172244

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6dfe6f209352203d3f7450cf597da1a3e357bc104212ef67b50b528ee72c478",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2022-09-02T17:14:36Z",
    "title_canon_sha256": "de16a9589f80c26a77a2dc36a3cff4ad52c70bd1ab9a02a5d4943143c7db1d68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.01173",
    "kind": "arxiv",
    "version": 1
  }
}