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Pith Number

pith:ZPI6IUKR

pith:2019:ZPI6IUKRB52M265BKU5XQY4G2D
not attested not anchored not stored refs pending

Deep ReLU network approximation of functions on a manifold

Johannes Schmidt-Hieber

arxiv:1908.00695 v1 · 2019-08-02 · stat.ML · cs.LG

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\usepackage{pith}
\pithnumber{ZPI6IUKRB52M265BKU5XQY4G2D}

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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

4 papers in Pith

Generalization in Nonlinear Least Squares via Learned Feature Geometry
Transformers for Learning on Noisy and Task-Level Manifolds: Approximation and Generalization Insights
Understanding In-Context Learning on Structured Manifolds: Bridging Attention to Kernel Methods
A Composite Activation Function for Learning Stable Binary Representations
Receipt and verification
First computed 2026-07-04T23:51:08.589880Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

cbd1e451510f74cd7ba1553b786386d0dc28ec40d9f30c0c0f27b2d0f7a24cc0

Aliases

arxiv: 1908.00695 · arxiv_version: 1908.00695v1 · doi: 10.48550/arxiv.1908.00695 · pith_short_12: ZPI6IUKRB52M · pith_short_16: ZPI6IUKRB52M265B · pith_short_8: ZPI6IUKR
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/ZPI6IUKRB52M265BKU5XQY4G2D \
  | 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: cbd1e451510f74cd7ba1553b786386d0dc28ec40d9f30c0c0f27b2d0f7a24cc0
Canonical record JSON 
{
  "metadata": {
    "abstract_canon_sha256": "380efd4ab8aad83ed493875f316fb2b724c0d076e7e95451354d0e5b8a2c0cad",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2019-08-02T04:01:13Z",
    "title_canon_sha256": "cae8b0cb85fbafd1bb43b818f984237348d8d6b0baa1d970f7774120425b35c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.00695",
    "kind": "arxiv",
    "version": 1
  }
}