Pith Number

pith:Z7EMQBWF

pith:2019:Z7EMQBWF7GY2KIABRK6U7AF5GN

not attested not anchored not stored refs pending

Analysis of Deep Neural Networks with Quasi-optimal polynomial approximation rates

Clayton Webster, Joseph Daws

arxiv:1912.02302 v1 · 2019-12-04 · math.NA · cs.LG · cs.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{Z7EMQBWF7GY2KIABRK6U7AF5GN}

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

Algorithmic Foundations of Deep Learning: Complexity-Theoretic Rates and a Characterization of Universal Approximation

Receipt and verification

First computed	2026-07-05T00:24:28.404431Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfc8c806c5f9b1a520018abd4f80bd33499e88f7e97b1461c570950b376ccbc1

Aliases

arxiv: 1912.02302 · arxiv_version: 1912.02302v1 · doi: 10.48550/arxiv.1912.02302 · pith_short_12: Z7EMQBWF7GY2 · pith_short_16: Z7EMQBWF7GY2KIAB · pith_short_8: Z7EMQBWF

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/Z7EMQBWF7GY2KIABRK6U7AF5GN \
  | 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: cfc8c806c5f9b1a520018abd4f80bd33499e88f7e97b1461c570950b376ccbc1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85fc9f3c345e2554e06fcfe46dc22b964d47bbd106dbc62f1f92167a5eaa1831",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-12-04T23:19:58Z",
    "title_canon_sha256": "583cf837cad2645c0e564b34b40f4512062a5efcf8f3887cc9c8134704a54ff2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.02302",
    "kind": "arxiv",
    "version": 1
  }
}