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Paper Citation Record · LEDGER

Topological properties of the set of functions generated by neural networks of fixed size

As of 16 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:1806.08459.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
1806.08459 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 3 of 3 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:53:12.647132Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-14T10:51:23.284770Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation c09bb795-1f09-471a-9587-692797701c22 · inbound

Deep ReLU network approximation of functions on a manifold cites this paper.

Deep ReLU network approximation of functions on a manifold Topological properties of the set of functions generated by neural networks of fixed size

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-14T15:53:12.647132Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T15:53:12.647132Z digest=sha256:5a18938f88fded06e8eccb4d35a7babdb1b823105dc25375e33306996fdc7c98

Observation b27f6a0f-bf3a-4d6d-8b56-a1f1540142f7 · inbound

Space-time error estimates for deep neural network approximations for differential equations cites this paper.

Space-time error estimates for deep neural network approximations for differential equations Topological properties of the set of functions generated by neural networks of fixed size

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-14T14:09:59.990514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T14:09:59.990514Z digest=sha256:647e1fdd7009a1b5c79b321e8142b331800a88286a555a75ebbc50dc61bfbf04

Observation e75c8e2b-4625-4e44-b998-a5f5db8b83c6 · inbound

An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications cites this paper.

An Energy Approach to the Solution of Partial Differential Equations in Computational Mechanics via Machine Learning: Concepts, Implementation and Applications Topological properties of the set of functions generated by neural networks of fixed size

Reference 16

Resolution
verified exact
local_arxiv, observed 2026-08-14T10:51:23.290264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T10:51:23.006443Z digest=sha256:18895d55115a33ffabb55a4fcb4505715f85c76d29e1cd8c5fe9745bdddc79f9