Pith Number

pith:RWXKL7FZ

pith:2019:RWXKL7FZEOJUG3LJEK2HNTHPBW

not attested not anchored not stored refs pending

Nonlinear Approximation and (Deep) ReLU Networks

B. Hanin, G. Petrova, I. Daubechies, R. DeVore, S. Foucart

arxiv:1905.02199 v1 · 2019-05-05 · 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{RWXKL7FZEOJUG3LJEK2HNTHPBW}

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	2026-05-17T23:46:52.041343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8daea5fcb92393436d6922b476ccef0d9867104bc496c17182086b142b1736f3

Aliases

arxiv: 1905.02199 · arxiv_version: 1905.02199v1 · doi: 10.48550/arxiv.1905.02199 · pith_short_12: RWXKL7FZEOJU · pith_short_16: RWXKL7FZEOJUG3LJ · pith_short_8: RWXKL7FZ

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/RWXKL7FZEOJUG3LJEK2HNTHPBW \
  | 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: 8daea5fcb92393436d6922b476ccef0d9867104bc496c17182086b142b1736f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9958d75122d214dc9a9190331f6557aed370aca6749cfbada009f879f4173753",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2019-05-05T12:54:35Z",
    "title_canon_sha256": "f2579d39ff48da3e836ae871029959430970b41f3f797f36493bca48a61a997e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02199",
    "kind": "arxiv",
    "version": 1
  }
}