Paper Citation Record · LEDGER

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One

As of 9 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 0 inbound Pith citation observations for arXiv:2607.04597.

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

pith.paper-citation-record.v1
2607.04597 v2

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T16:20:15.771616Z

measured 28 of 28 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

28 of 28 outbound references displayed

verified exact0
verified fuzzy0
unresolved26
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation adc85753-217e-4882-9b2f-f79f1b59d082 · outbound

This paper cites Discrete and Continuous Dynamical Systems - B 29(1):351–376.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One Discrete and Continuous Dynamical Systems - B 29(1):351–376

Reference 1

Resolution: malformed identifier; no resolver link, observed 2026-07-14T16:20:15.771616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62b783ec-a9e6-440b-b33f-d9719fa3935a · outbound

This paper cites Springer, Cham, https://doi.org/10.1007/978-3-030-33143-6.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One Springer, Cham, https://doi.org/10.1007/978-3-030-33143-6

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

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Observation d366ca11-c9c6-40d2-8dd8-984960b6b215 · outbound

This paper cites In: The Eleventh International Conference on Learning Representations.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One In: The Eleventh International Conference on Learning Representations

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

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Observation fb71a902-7ba8-4e06-81b9-9580fbf802c3 · outbound

This paper cites In: Advances in Neural Information Processing Systems, pp 3134–3144.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One In: Advances in Neural Information Processing Systems, pp 3134–3144

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

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Observation e5dcd18c-4389-485d-b51b-38193ee1ec55 · outbound

This paper cites Com- munications in Mathematics and Statistics 5(1):1–11.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One Com- munications in Mathematics and Statistics 5(1):1–11

Reference 5

Resolution: malformed identifier; no resolver link, observed 2026-07-14T16:20:15.771616Z

Source-reported events for the cited work

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Observation b86cc8ec-d8bd-4d9b-acbb-774018efdb08 · outbound

This paper cites American Mathematical Society, Providence, RI, https: //doi.org/10.1090/gsm/019.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One American Mathematical Society, Providence, RI, https: //doi.org/10.1090/gsm/019

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

Source-reported events for the cited work

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Observation 821daf5a-a42f-404e-a426-cfd84c03677b · outbound

This paper cites Approximating Continuous Functions by ReLU Nets of Minimal Width.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One Approximating Continuous Functions by ReLU Nets of Minimal Width

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

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Observation 9a2f3ef3-34e2-4a39-b629-823ff9188fe2 · outbound

This paper cites In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 770–778.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One In: Proceedings of the IEEE conference on computer vision and pattern recognition, pp 770–778

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

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Observation be25617c-7439-4d7f-aad7-0ca0e249b2b4 · outbound

This paper cites In: Proceedings of the IEEE International Conference on Computer Vision, pp 2961–2969.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One In: Proceedings of the IEEE International Conference on Computer Vision, pp 2961–2969

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

Source-reported events for the cited work

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Observation f3eeafec-0c3e-4244-91bd-4d35f603ee6b · outbound

This paper cites In: Belgrave D, Zhang C, Lin H, et al (eds) Advances in Neural Infor- mation Processing Systems, vol 38.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One In: Belgrave D, Zhang C, Lin H, et al (eds) Advances in Neural Infor- mation Processing Systems, vol 38

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

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Observation 9ae3c6f5-f6f1-4434-ad95-cf9d6a070acb · outbound

This paper cites Deep, Skinny Neural Networks are not Universal Approximators.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One Deep, Skinny Neural Networks are not Universal Approximators

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

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Observation 25ea4329-d5fe-4a0e-8baf-885e645b35d7 · outbound

This paper cites In: Conference on learning theory, PMLR, pp 2306–2327.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One In: Conference on learning theory, PMLR, pp 2306–2327

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

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Observation 24ae57ce-fa5d-4cd0-8bed-eae72681454c · outbound

This paper cites In: Kim B, Yue Y, Chaudhuri S, et al (eds) International Conference on Representation Learning, pp 3097–3130 32.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One In: Kim B, Yue Y, Chaudhuri S, et al (eds) International Conference on Representation Learning, pp 3097–3130 32

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

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Observation 0ad5d28e-0c9c-4bb2-aec4-313332f1a706 · outbound

This paper cites Adam: A Method for Stochastic Optimization.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One Adam: A Method for Stochastic Optimization

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

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Observation bf69e126-7a82-40d1-876e-338de6723bd6 · outbound

This paper cites Journal of the European Mathematical Society 25(5):1671–1709.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One Journal of the European Mathematical Society 25(5):1671–1709

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

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Observation 7eaa6776-02bb-4d06-b05a-1e43b5315ddd · outbound

This paper cites In: Advances in Neural Information Processing Systems, vol 31.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One In: Advances in Neural Information Processing Systems, vol 31

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

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Unavailable: canonical work link unavailable.

Observation 762ec2e7-7e30-4a5c-8a4c-9d8ab1917070 · outbound

This paper cites In: Proceedings of the 41st International Conference on Machine Learning, Proceedings of Machine Learning Research, vol 235.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One In: Proceedings of the 41st International Conference on Machine Learning, Proceedings of Machine Learning Research, vol 235

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05add4e0-b300-477b-a362-9a2a687a1a52 · outbound

This paper cites Pearson Education, Harlow.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One Pearson Education, Harlow

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

Source-reported events for the cited work

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Observation c110179e-647c-428c-935e-306d1006105d · outbound

This paper cites Lyryx, Calgary, AB, Canada.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One Lyryx, Calgary, AB, Canada

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a20a505-30db-4e19-aff9-6271b7a0e7d0 · outbound

This paper cites Proceedings of the American Mathematical Society 11(2):274–277.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One Proceedings of the American Mathematical Society 11(2):274–277

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 734e0411-b5c0-443d-91cd-5cb4c2077b98 · outbound

This paper cites In: International Conference on Learning Representations.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One In: International Conference on Learning Representations

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

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Observation eeda28ed-658d-4262-93e5-e88cbdb61972 · outbound

This paper cites arXiv preprint arXiv:2407.18384 [cs.LG].

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One arXiv preprint arXiv:2407.18384 [cs.LG]

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 96acae49-ca29-42a7-861b-93da9975fca1 · outbound

This paper cites Universal Approximation Power of Deep Residual Neural Networks via Nonlinear Control Theory.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One Universal Approximation Power of Deep Residual Neural Networks via Nonlinear Control Theory

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

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Unavailable: canonical work link unavailable.

Observation 0eb8d8d0-187b-40e8-ba1b-a87a0658e292 · outbound

This paper cites In: Larochelle H, Ranzato M, Hadsell R, et al (eds) Advances in Neural Information Processing Systems, vol 33.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One In: Larochelle H, Ranzato M, Hadsell R, et al (eds) Advances in Neural Information Processing Systems, vol 33

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

Source-reported events for the cited work

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Observation 50116907-19f0-41de-95f8-fd958bf4c5fd · outbound

This paper cites Cambridge Mathematical Textbooks, Cambridge University Press, Cambridge.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One Cambridge Mathematical Textbooks, Cambridge University Press, Cambridge

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77e50ef8-0cee-4245-ac50-e9e6d9e66869 · outbound

This paper cites arXiv preprint arXiv:2511.06837 [cs.LG] 33.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One arXiv preprint arXiv:2511.06837 [cs.LG] 33

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

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Unavailable: canonical work link unavailable.

Observation 94768e1f-f5b9-4cd4-b1cc-c6c3171872b5 · outbound

This paper cites In: Proceedings of the 37th International Conference on Machine Learning, Proceedings of Machine Learning Research, vol.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One In: Proceedings of the 37th International Conference on Machine Learning, Proceedings of Machine Learning Research, vol

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3905de91-526d-4153-bc3f-d2db18af7603 · outbound

This paper cites an unresolved cited work.

Minimum Block Width for Universal Approximation by Residual Neural Networks with Inner Width One Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-14T16:20:15.771616Z

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Pith citing papers

No inbound Pith citation observations are available.