Pith Number

pith:B7KD4I5G

pith:2019:B7KD4I5G67CFIVXBXMXLUKBKM4

not attested not anchored not stored refs pending

The phase diagram of approximation rates for deep neural networks

Anton Zhevnerchuk, Dmitry Yarotsky

arxiv:1906.09477 v2 · 2019-06-22 · cs.NE · 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{B7KD4I5G67CFIVXBXMXLUKBKM4}

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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

Fourier Residual Networks Achieve Spectral Accuracy for Discontinuous Functions

Receipt and verification

First computed	2026-07-05T02:04:54.144105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fd43e23a6f7c45456e1bb2eba282a67208c465f37df5b165c04591982c8d41b

Aliases

arxiv: 1906.09477 · arxiv_version: 1906.09477v2 · doi: 10.48550/arxiv.1906.09477 · pith_short_12: B7KD4I5G67CF · pith_short_16: B7KD4I5G67CFIVXB · pith_short_8: B7KD4I5G

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/B7KD4I5G67CFIVXBXMXLUKBKM4 \
  | 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: 0fd43e23a6f7c45456e1bb2eba282a67208c465f37df5b165c04591982c8d41b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7fabd3b177a15bbdb5f9d7500a5b20538c381224d271d818b0a474a84f149069",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.NE",
    "submitted_at": "2019-06-22T17:56:14Z",
    "title_canon_sha256": "b98c2f947a3b4be40856162298e13ef2e1210e555fee6557bdd79174b99a2127"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09477",
    "kind": "arxiv",
    "version": 2
  }
}