Pith Number

pith:4AWBJ5JC

pith:2023:4AWBJ5JCGWIFVERDGZHEFCPQGO

not attested not anchored not stored refs pending

Nearly Optimal Approximation Rates for Deep Super ReLU Networks on Sobolev Spaces

Haizhao Yang, Yahong Yang, Yang Xiang, Yue Wu

arxiv:2310.10766 v5 · 2023-10-16 · math.NA · 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{4AWBJ5JCGWIFVERDGZHEFCPQGO}

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

2 papers in Pith

Generalization Guarantees for Multi-Input Neural Operator Learning in Sobolev Spaces

Continuous Data Assimilation with Learned Surrogate Dynamics

Receipt and verification

First computed	2026-07-05T12:02:32.464958Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e02c14f52235905a9223364e4289f03381564894a73fd7b0f833226cf7e27341

Aliases

arxiv: 2310.10766 · arxiv_version: 2310.10766v5 · doi: 10.48550/arxiv.2310.10766 · pith_short_12: 4AWBJ5JCGWIF · pith_short_16: 4AWBJ5JCGWIFVERD · pith_short_8: 4AWBJ5JC

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/4AWBJ5JCGWIFVERDGZHEFCPQGO \
  | 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: e02c14f52235905a9223364e4289f03381564894a73fd7b0f833226cf7e27341

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92adb80d4f9d82a797e103dc250e4a63d72c877bac820a7fa0a04a5f86d812a9",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2023-10-16T19:00:28Z",
    "title_canon_sha256": "6ee4bdad6fc529a47c8cb305b7044da2b40e15c7ebe85fa30790d642d314b7e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.10766",
    "kind": "arxiv",
    "version": 5
  }
}