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Paper Citation Record · LEDGER

Enhancing Neural Function Approximation: The XNet Outperforming KAN

As of 10 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2501.18959.

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

pith.paper-citation-record.v1
2501.18959 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T21:54:20.893092Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-23T04:21:03.219274Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-23T04:22:31.115078Z

Reference resolution

13 of 13 outbound references displayed

  • verified exact0
  • verified fuzzy2
  • unresolved11
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d3fb3340-6ce3-43bb-b3f1-d8d77a113321 · outbound

This paper cites KAN: Kolmogorov-Arnold Networks.

Enhancing Neural Function Approximation: The XNet Outperforming KAN KAN: Kolmogorov-Arnold Networks

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-09T21:54:20.866688Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T21:54:20.866688Z digest=sha256:b8f8a35658d9967cafc38a44cbf1702b70e3afef1b5ff71bea9f3229e7bb3cca

Observation ef22652f-ba75-4aa2-ba05-0122686d3d09 · outbound

This paper cites Transolver: A Fast Transformer Solver for PDEs on General Geometries.

Enhancing Neural Function Approximation: The XNet Outperforming KAN Transolver: A Fast Transformer Solver for PDEs on General Geometries

Reference 13

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unresolved
no resolver link, observed 2026-08-09T21:54:20.885809Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T21:54:20.885809Z digest=sha256:7c8f8c2e28e4491e02db82f5b56967dce5bddcef1a846751167437d07c80a0cd

Observation 2e3fe30e-dd1b-4397-a989-8323317d0ec7 · outbound

This paper cites On the training of a kolmogorov network.

Enhancing Neural Function Approximation: The XNet Outperforming KAN On the training of a kolmogorov network

Reference 1956

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T21:54:21.247032Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-09T21:54:20.854723Z digest=sha256:980301e3e4100cc03111bf18032835008156f4f74d18e153f57ab6a16d208240

Observation 3c6895df-6d05-4a4b-8add-440b7fadf40e · outbound

This paper cites The kolmogorov superposition theorem can break the curse of dimen- sionality when approximating high dimensional functions.

Enhancing Neural Function Approximation: The XNet Outperforming KAN The kolmogorov superposition theorem can break the curse of dimen- sionality when approximating high dimensional functions

Reference 2002

Resolution
unresolved
no resolver link, observed 2026-08-09T21:54:20.858350Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T21:54:20.858350Z digest=sha256:1f2cc701b867121b07dbe9b7cb6480b3fbad6bdc0e1970ac5e050f0d23033293

Observation ac5ece18-bb93-45d9-a9b5-d2d4c632d11a · outbound

This paper cites Sparse Autoencoders Find Highly Interpretable Features in Language Models.

Enhancing Neural Function Approximation: The XNet Outperforming KAN Sparse Autoencoders Find Highly Interpretable Features in Language Models

Reference 2009

Resolution
unresolved
no resolver link, observed 2026-08-09T21:54:20.836389Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T21:54:20.836389Z digest=sha256:9058c9ddbf5b839e7571cf2caa1b981013ca575853f9c039394ee815d0ea698b

Observation 4f35d1b9-9e10-4416-9438-41f1abde8a4c · outbound

This paper cites Review of deep reinforcement learning for robot manipulation.

Enhancing Neural Function Approximation: The XNet Outperforming KAN Review of deep reinforcement learning for robot manipulation

Reference 2010

Resolution
verified fuzzy
raw_fallback, observed 2026-08-09T21:54:21.234385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-09T21:54:20.870394Z digest=sha256:74e94bae954992e73f8875eec2e75877c9032d1a2c264acfc9beaf880ec5c175

Observation 38c24cf5-97c6-4b25-a78f-cf6192c3bf0c · outbound

This paper cites Cauchy activation function and XNet.

Enhancing Neural Function Approximation: The XNet Outperforming KAN Cauchy activation function and XNet

Reference 2013

Resolution
unresolved
no resolver link, observed 2026-08-09T21:54:20.862433Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T21:54:20.862433Z digest=sha256:31fe9fa9936b78fdbde0ce485e178cc56e401f7052e2de90ee7d5ad1acf38d99

Observation af4524c4-47f4-4e83-becf-d12be3a35541 · outbound

This paper cites URL https://www.sciencedirect.com/science/article/pii/S0021999118305525.

Enhancing Neural Function Approximation: The XNet Outperforming KAN URL https://www.sciencedirect.com/science/article/pii/S0021999118305525

Reference 2018

Resolution
unresolved
no resolver link, observed 2026-08-09T21:54:20.878133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T21:54:20.878133Z digest=sha256:870664a654e6b7ea96a535deed96e3fd3775578db8d22543429470680d98c0bd

Observation 19942947-1562-419e-8704-d663f2feab24 · outbound

This paper cites Proximal Policy Optimization Algorithms.

Enhancing Neural Function Approximation: The XNet Outperforming KAN Proximal Policy Optimization Algorithms

Reference 2019

Resolution
unresolved
no resolver link, observed 2026-08-09T21:54:20.873947Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T21:54:20.873947Z digest=sha256:cb44f177de37a062c6b14d5f281c12d76a3ecd28deb0411e130b3ae2aef3e951

Observation 2f2d3066-4d99-4a34-a0ab-eb8ed2c4e85b · outbound

This paper cites URL https://www.nature.com/articles/ s42256-021-00302-5.

Enhancing Neural Function Approximation: The XNet Outperforming KAN URL https://www.nature.com/articles/ s42256-021-00302-5

Reference 2021

Resolution
unresolved
no resolver link, observed 2026-08-09T21:54:20.849927Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T21:54:20.849927Z digest=sha256:5e219ea78543fd70441be48c8e78d71730643d7af0a2ecbbb8e863da2e27a281

Observation 245b6858-ca10-466e-9d20-63a6a1f34d04 · outbound

This paper cites TKAN: Temporal Kolmogorov-Arnold Networks.

Enhancing Neural Function Approximation: The XNet Outperforming KAN TKAN: Temporal Kolmogorov-Arnold Networks

Reference 2022

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unresolved
no resolver link, observed 2026-08-09T21:54:20.841614Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T21:54:20.841614Z digest=sha256:5110833515e63ea2293b2d5a11c2bd617c3744c97f2d4a08fd1c340991614a29

Observation 300c6392-67f3-4480-97f3-89d813fcaff5 · outbound

This paper cites PINNsFormer: A Transformer-Based Framework For Physics-Informed Neural Networks.

Enhancing Neural Function Approximation: The XNet Outperforming KAN PINNsFormer: A Transformer-Based Framework For Physics-Informed Neural Networks

Reference 2023

Resolution
unresolved
no resolver link, observed 2026-08-09T21:54:20.893092Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T21:54:20.893092Z digest=sha256:52e6bc6cd52489b3151d9fa7da426aa9b37e942419e8d22f3b551f083531dde0

Observation bff2d660-5823-4f1d-9533-38ca483d54e5 · outbound

This paper cites Mastering Diverse Domains through World Models.

Enhancing Neural Function Approximation: The XNet Outperforming KAN Mastering Diverse Domains through World Models

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-09T21:54:20.845851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T21:54:20.845851Z digest=sha256:2f701d6247e97ab920885d7050d8a7a6107bed6c09681c613b9f96af463907df

Pith citing papers

Observation 93939afd-5783-46ec-bdfa-851ef3acc932 · inbound

XNet-Enhanced Deep BSDE Method and Numerical Analysis cites this paper.

XNet-Enhanced Deep BSDE Method and Numerical Analysis Enhancing Neural Function Approximation: The XNet Outperforming KAN

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-05-23T04:22:31.117096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-05-23T04:21:03.219274Z digest=sha256:8bdf5b4efa921d47e52bf3e1697ec35a5aca3184a593e58b1c33778dccd85c29