Pith Number

pith:WHS4MPFN

pith:2020:WHS4MPFNXK63F5ROUAFUX6P2XZ

not attested not anchored not stored refs pending

Deep Network with Approximation Error Being Reciprocal of Width to Power of Square Root of Depth

Haizhao Yang, Shijun Zhang, Zuowei Shen

arxiv:2006.12231 v6 · 2020-06-22 · 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{WHS4MPFNXK63F5ROUAFUX6P2XZ}

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.

Cited by

1 paper in Pith

Do Neural Networks Really Beat the Curse of Dimensionality? A Bit-Complexity View

Receipt and verification

First computed	2026-07-05T02:26:48.623769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1e5c63cadbabdb2f62ea00b4bf9fabe4f87d1aa2ab4c68abdc2955d99aa6f8b

Aliases

arxiv: 2006.12231 · arxiv_version: 2006.12231v6 · doi: 10.48550/arxiv.2006.12231 · pith_short_12: WHS4MPFNXK63 · pith_short_16: WHS4MPFNXK63F5RO · pith_short_8: WHS4MPFN

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/WHS4MPFNXK63F5ROUAFUX6P2XZ \
  | 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: b1e5c63cadbabdb2f62ea00b4bf9fabe4f87d1aa2ab4c68abdc2955d99aa6f8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a893c9b01bdc7de6931406f4aeafefea2251e1e050a5c06fea726ba894dc0dd9",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA",
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2020-06-22T13:27:33Z",
    "title_canon_sha256": "c4f1d0c1448452d84a7f3f74314792d96aa4b567afe3cbc8585f5f924e50c7bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.12231",
    "kind": "arxiv",
    "version": 6
  }
}