Pith Number

pith:R62ZAFG4

pith:2023:R62ZAFG443AIYYPV2MFOZ3AZ6W

not attested not anchored not stored refs pending

Why Shallow Networks Struggle to Approximate and Learn High Frequencies

Haomin Zhou, Hongkai Zhao, Shijun Zhang, Yimin Zhong

arxiv:2306.17301 v3 · 2023-06-29 · cs.LG · cs.NA · math.NA · 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{R62ZAFG443AIYYPV2MFOZ3AZ6W}

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	2026-06-25T01:18:33.379294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fb59014dce6c08c61f5d30aecec19f591775a0045d41d74cf332769940641e6

Aliases

arxiv: 2306.17301 · arxiv_version: 2306.17301v3 · doi: 10.48550/arxiv.2306.17301 · pith_short_12: R62ZAFG443AI · pith_short_16: R62ZAFG443AIYYPV · pith_short_8: R62ZAFG4

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/R62ZAFG443AIYYPV2MFOZ3AZ6W \
  | 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: 8fb59014dce6c08c61f5d30aecec19f591775a0045d41d74cf332769940641e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50377ce2532449a4b62964c5724d6ac3a3fbdcd15fba3cd646cb43dc9a325c37",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-06-29T20:58:48Z",
    "title_canon_sha256": "d99d5f029f06268918f34fa19a24081de1adee67c1fd67e5f1c147185c7ba46c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.17301",
    "kind": "arxiv",
    "version": 3
  }
}