Pith Number

pith:QLDHNVDH

pith:2023:QLDHNVDHWOXIEN6PBKPJVBH2AA

not attested not anchored not stored refs pending

Tractability of approximation by general shallow networks

Hrushikesh Mhaskar, Tong Mao

arxiv:2308.03230 v2 · 2023-08-07 · cs.LG · cs.NA · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QLDHNVDHWOXIEN6PBKPJVBH2AA}

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

Optimal Neural Network Approximation via Empirical Least Squares with Deterministic Samples

Receipt and verification

First computed	2026-07-05T07:22:21.892518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82c676d467b3ae8237cf0a9e9a84fa000fff4686263643116ac5f2f4dc001f0f

Aliases

arxiv: 2308.03230 · arxiv_version: 2308.03230v2 · doi: 10.48550/arxiv.2308.03230 · pith_short_12: QLDHNVDHWOXI · pith_short_16: QLDHNVDHWOXIEN6P · pith_short_8: QLDHNVDH

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/QLDHNVDHWOXIEN6PBKPJVBH2AA \
  | 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: 82c676d467b3ae8237cf0a9e9a84fa000fff4686263643116ac5f2f4dc001f0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe9e06f3a3e362109cc4b9361470dd19922703c212b50f15e36f813abbe7c24b",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-08-07T00:14:46Z",
    "title_canon_sha256": "0a11994ca3f697152344a2acce382d3e3f5ca9e406f69f6019968576e014ea9e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.03230",
    "kind": "arxiv",
    "version": 2
  }
}