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Paper Citation Record · LEDGER

Enhancing Neural Function Approximation: The XNet Outperforming KAN

As of 17 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 2 inbound Pith citation observations 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 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T22:39:52.634675Z

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

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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:db51bafc1a9f690061a622eb69c49a63059205cb4eaf54f9de7e79c536df5502

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:ddc438f78299905e6b88425c0c24fce6b48522cb26657c96c2565e1aa6628da3

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T21:54:20.854723Z digest=sha256:0a478b55ef758acf85f730ae1e48c41be2f3a0665d1b6a1e74553997cd96820d

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

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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:f501066547ecdccca502212addba27961422f0b9360d73cf7e24327421760668

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

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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:d53eb1e4af8bb655e7976a3e1b66c9eec603f8944e895c4db6a98e258530b6fe

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-09T21:54:20.870394Z digest=sha256:5dd09b90569dee6246251d137c9eeabd1f72398e56a954bf7e173f123dc9b200

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

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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=sha256:5c5c5fd56b17bc463fbf9c5e13a2da159129663ab487bcf61574c7244e3d8329

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

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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=sha256:6fec1235ebb97c67b80fa2d4873d15de5f877c941e499f1f10921effd0d39ed5

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

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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=sha256:11d44fbe638bb24d9b50aa7995786e15c736cc1c7826cd34cf8c726739aeca9e

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

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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=sha256:5cf9a9b2d315ffe57136f9b130484fc798dd45cc4d8f747b59330e2db05c9c6d

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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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=sha256:6c45b512be905b9f7bffe96005e167266e6433d5eca4f9a5c4e6d20a2ba8fdeb

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=sha256:2e8c26081a502cbb2e938fb2e48c44f9a36ed822bdd3ab17a85d1908fb3ea290

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

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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=sha256:9d6e6e9bb7cacab758f45c748197195805694d0677584f7e7d72f4def3f0c8ef

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-23T04:21:03.219274Z digest=sha256:0a62df72bc50b99c17e7703cc01a4345f419b56ada826263fcb709a98e0649ea

Observation 8f935489-1a93-4ac2-988e-0b964f87c26c · inbound

Mixer-Informer-Based Two-Stage Transfer Learning for Long-Sequence Load Forecasting in Newly Constructed Electric Vehicle Charging Stations cites this paper.

Mixer-Informer-Based Two-Stage Transfer Learning for Long-Sequence Load Forecasting in Newly Constructed Electric Vehicle Charging Stations Enhancing Neural Function Approximation: The XNet Outperforming KAN

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-15T22:39:52.634675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T22:39:52.634675Z digest=sha256:8396c804596ca04f520f85d7d9413fe3168e300d68787036c8ce6d96540fc588