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Paper Citation Record · LEDGER

Universal Function Approximation by Deep Neural Nets with Bounded Width and ReLU Activations

As of 15 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:1708.02691.

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

pith.paper-citation-record.v1
1708.02691 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 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 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T15:11:57.208703Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T00:47:30.807766Z

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 fee70d4e-034a-4446-85cd-d215469662dc · inbound

Invariance-inducing regularization using worst-case transformations suffices to boost accuracy and spatial robustness cites this paper.

Invariance-inducing regularization using worst-case transformations suffices to boost accuracy and spatial robustness Universal Function Approximation by Deep Neural Nets with Bounded Width and ReLU Activations

Reference 15

Resolution
verified exact
arxiv_id, observed 2026-05-25T15:45:59.661062Z

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=2026-05-25T15:42:57.529773Z digest=sha256:ea90e6f717919f67b2518b3a9aee0bdbedc43d6933fa3cbb8689d9688ba3447a

Observation ead81ccd-72d9-4b21-a7f4-fe8f62c0f43a · inbound

Nonparametric Regression on Low-Dimensional Manifolds using Deep ReLU Networks : Function Approximation and Statistical Recovery cites this paper.

Nonparametric Regression on Low-Dimensional Manifolds using Deep ReLU Networks : Function Approximation and Statistical Recovery Universal Function Approximation by Deep Neural Nets with Bounded Width and ReLU Activations

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-14T15:11:57.208703Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-14T15:11:57.208703Z digest=sha256:2346e25fa216c51babe5e8c5e194ccbf673690ce43766a383e461cfe97d82840

Observation 58e4f88d-fd94-4825-94e8-ff5bf30bdd3a · inbound

Training Optimus Prime, M.D.: Generating Medical Certification Items by Fine-Tuning OpenAI's gpt2 Transformer Model cites this paper.

Training Optimus Prime, M.D.: Generating Medical Certification Items by Fine-Tuning OpenAI's gpt2 Transformer Model Universal Function Approximation by Deep Neural Nets with Bounded Width and ReLU Activations

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-14T11:36:40.037460Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T11:36:40.037460Z digest=sha256:1bed5552adced27d3bfdd97f3509f56e5d1b52a27564cf0a4a3e3dedf4f9552d

Observation faff3d9f-20c7-4a41-bcc2-2c92c3173cc4 · inbound

DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators cites this paper.

DeepONet: Learning nonlinear operators for identifying differential equations based on the universal approximation theorem of operators Universal Function Approximation by Deep Neural Nets with Bounded Width and ReLU Activations

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-15T03:17:25.366854Z

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=2026-05-15T03:17:25.281108Z digest=sha256:d3c191d1653a00e0ab721c2ace68d326a965ae8ff34a36d623b72082a80e65a6

Observation 95d48016-bba6-49cb-88c1-8471e15fca47 · inbound

Deep neural network approximation theory for high-dimensional functions cites this paper.

Deep neural network approximation theory for high-dimensional functions Universal Function Approximation by Deep Neural Nets with Bounded Width and ReLU Activations

Reference 51

Resolution
verified exact
arxiv_id, observed 2026-05-24T12:39:29.122660Z

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=2026-05-24T12:37:24.021894Z digest=sha256:7e277c6a911a912ab31d46e0a262dd0775e49d0f68b0ff6083b165d928e26930

Observation 0a210c41-b5af-4248-b917-d9450c1fc6d2 · inbound

Self-Play Fine-Tuning Converts Weak Language Models to Strong Language Models cites this paper.

Self-Play Fine-Tuning Converts Weak Language Models to Strong Language Models Universal Function Approximation by Deep Neural Nets with Bounded Width and ReLU Activations

Reference 185

Resolution
metadata mismatch
arxiv_id, observed 2026-05-14T23:00:21.201381Z

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=arxiv_source observed=2026-05-14T23:00:20.720030Z digest=sha256:e95d2b94b0a8e54e5f455331e6e10d1ab9f1711e0e7495a46c2a23665b4628c7

Observation 91a41d86-68d8-4fd2-b994-0c8e04c46263 · inbound

A Theory on Flow Matching with Neural Networks cites this paper.

A Theory on Flow Matching with Neural Networks Universal Function Approximation by Deep Neural Nets with Bounded Width and ReLU Activations

Reference 211

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T00:47:30.809391Z

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=arxiv_source observed=2026-06-27T16:59:34.084575Z digest=sha256:ee495ef96b52df8808ce850db1cc55395be36f59babe9b3bfcb9469cebfacff2