Pith Number

pith:6WYWUQYQ

pith:2023:6WYWUQYQJS3MZG5ZO3TXXAC3CO

not attested not anchored not stored refs pending

Neural Networks with Sparse Activation Induced by Large Bias: Tighter Analysis with Bias-Generalized NTK

Hongru Yang, Ruizhe Zhang, Yingbin Liang, Zhangyang Wang, Ziyu Jiang

arxiv:2301.00327 v3 · 2023-01-01 · 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{6WYWUQYQJS3MZG5ZO3TXXAC3CO}

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	2026-07-05T09:28:08.729718Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5b16a43104cb6cc9bb976e77b805b1388a61162b6810778ce07893df3fa27fb

Aliases

arxiv: 2301.00327 · arxiv_version: 2301.00327v3 · doi: 10.48550/arxiv.2301.00327 · pith_short_12: 6WYWUQYQJS3M · pith_short_16: 6WYWUQYQJS3MZG5Z · pith_short_8: 6WYWUQYQ

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/6WYWUQYQJS3MZG5ZO3TXXAC3CO \
  | 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: f5b16a43104cb6cc9bb976e77b805b1388a61162b6810778ce07893df3fa27fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e988a6ac47a8e4b014e34879657ea228a0e3749de5b5fee9500170480a9cb3a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-01-01T02:11:39Z",
    "title_canon_sha256": "0df96bced34410fdeb1eefed0ca44e15f0ccbbce8914b473695efb19152fcd44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.00327",
    "kind": "arxiv",
    "version": 3
  }
}