Paper Citation Record · LEDGER

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions

As of 4 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2606.16578.

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

pith.paper-citation-record.v1
2606.16578 v2

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-30T11:32:07.412028Z

measured 37 of 37 standing notices

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

37 of 37 outbound references displayed

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External citation measurements

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Outbound references

Observation c075d5cf-0276-4391-b996-32302e37c2f7 · outbound

This paper cites Arndt, W.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Arndt, W

Reference 1

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Observation c858b6a4-a470-426c-a5db-5d54a4076518 · outbound

This paper cites an unresolved cited work.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-07-09T09:46:12.899277Z

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Observation c9b2628b-4c3e-4c34-9f78-98367070a783 · outbound

This paper cites Monte Carlo PDE Solvers for Nonlinear Radiative Boundary Conditions.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Monte Carlo PDE Solvers for Nonlinear Radiative Boundary Conditions

Reference 3

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Observation bb832db4-33d0-44b5-bf2b-0164a38f4483 · outbound

This paper cites InProceedings of the SIGGRAPH Asia 2025 Con- ference Papers.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions InProceedings of the SIGGRAPH Asia 2025 Con- ference Papers

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.897061Z

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Observation ddfeeb79-9cdb-44d1-ae0a-b8dbf05990a1 · outbound

This paper cites Rahel Brügger, Helmut Harbrecht, and Johannes Tausch.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Rahel Brügger, Helmut Harbrecht, and Johannes Tausch

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.934491Z

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Observation 821c9528-8be4-4dfc-b04b-234bfc6e4cff · outbound

This paper cites Boundary integral operators for the heat equation in time-dependent domains.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Boundary integral operators for the heat equation in time-dependent domains

Reference 6

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Observation e2a80223-5b50-42e8-ae31-65dc2a69199d · outbound

This paper cites Michael Czekanski, Benjamin Faber, Margaret Fairborn, Adelle Wright, and David Bindel.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Michael Czekanski, Benjamin Faber, Margaret Fairborn, Adelle Wright, and David Bindel

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.932368Z

Source-reported events for the cited work

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Observation 77cfa3a8-4aae-4ed1-a31e-c0c879e1a5e1 · outbound

This paper cites Walking on Spheres and Talking to Neighbors: Variance Reduction for Laplace's Equation.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Walking on Spheres and Talking to Neighbors: Variance Reduction for Laplace's Equation

Reference 8

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Observation d443cbce-34bd-479f-b9ba-d0c44f80eb05 · outbound

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Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Unresolved cited work

Reference 9

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Source-reported events for the cited work

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Observation 6f6cd649-777e-45ab-8633-8d8b66e0631e · outbound

This paper cites Madalina Deaconu and Samuel Herrmann.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Madalina Deaconu and Samuel Herrmann

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.904148Z

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Observation 4a6122c7-87e5-4659-97f5-9c6b8b1b40c6 · outbound

This paper cites an unresolved cited work.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-07-09T09:46:12.944646Z

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Observation 3ef3f971-1f34-42d7-808b-caeb64e2d1d9 · outbound

This paper cites Yixin Hu, Teseo Schneider, Bolun Wang, Denis Zorin, and Daniele Panozzo.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Yixin Hu, Teseo Schneider, Bolun Wang, Denis Zorin, and Daniele Panozzo

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.948776Z

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Observation 86b697b3-3cb3-4e21-81f7-75ebadf1afcc · outbound

This paper cites Tianyu Huang.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Tianyu Huang

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.913291Z

Source-reported events for the cited work

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Observation ff3150c6-2acc-41dd-8010-5a00068f7181 · outbound

This paper cites InProceedings of the SIGGRAPH Asia 2025 Technical Communications.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions InProceedings of the SIGGRAPH Asia 2025 Technical Communications

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.927969Z

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Observation a11fa5fc-157c-45ce-8caf-2b7ed7a6cab1 · outbound

This paper cites Proceedings of the Imperial Academy20, 10 (1944), 706–714.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Proceedings of the Imperial Academy20, 10 (1944), 706–714

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.919842Z

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Observation 248d803b-eaa6-4863-97bb-25dcbe3687be · outbound

This paper cites InSIGGRAPH Asia 2023 Conference Papers.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions InSIGGRAPH Asia 2023 Conference Papers

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.906451Z

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Observation eaf83776-51f9-4c92-819b-d6257e812b21 · outbound

This paper cites InACM SIGGRAPH 2024 Conference Papers.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions InACM SIGGRAPH 2024 Conference Papers

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.936527Z

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Observation b49422c7-9146-4dad-8811-406cc33773da · outbound

This paper cites Bailey Miller, Rohan Sawhney, Keenan Crane, and Ioannis Gkioulekas.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Bailey Miller, Rohan Sawhney, Keenan Crane, and Ioannis Gkioulekas

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.925760Z

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Observation dc6e43f0-b8ba-41cb-915b-de384c712c4b · outbound

This paper cites Mervin E Muller.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Mervin E Muller

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.950782Z

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Observation 0efc9b48-5c55-47b5-a0ff-abf11178d05b · outbound

This paper cites The Annals of Mathematical Statistics(1956), 569–589.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions The Annals of Mathematical Statistics(1956), 569–589

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.942713Z

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Observation 35c1a604-3732-4b8f-894c-8c2c336853fa · outbound

This paper cites Karl K Sabelfeld.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Karl K Sabelfeld

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.915535Z

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Observation a26adcb4-8d4f-48d5-9a70-5c4a4e01e82d · outbound

This paper cites Karl K Sabelfeld.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Karl K Sabelfeld

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.908731Z

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Observation 2ce3458b-8d20-4409-94d7-1aa45b459497 · outbound

This paper cites Rohan Sawhney.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Rohan Sawhney

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.940714Z

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No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 9da513c3-eead-4654-bd6a-7dbe3fdb057c · outbound

This paper cites Rohan Sawhney, Bailey Miller, Ioannis Gkioulekas, and Keenan Crane.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Rohan Sawhney, Bailey Miller, Ioannis Gkioulekas, and Keenan Crane

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.894725Z

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Observation 3bca65f1-717b-47bf-a4a2-aaa53bc5feef · outbound

This paper cites Walk on Stars: A Grid-Free Monte Carlo Method for PDEs with Neumann Boundary Conditions.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Walk on Stars: A Grid-Free Monte Carlo Method for PDEs with Neumann Boundary Conditions

Reference 25

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Observation cf605501-a60e-4fdf-bfda-9faba0fa5475 · outbound

This paper cites Maximilian Seitzer, Arash Tavakoli, Dimitrije Antic, and Georg Martius.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Maximilian Seitzer, Arash Tavakoli, Dimitrije Antic, and Georg Martius

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.930326Z

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Observation cde6212f-4600-429f-b55c-693c6e5a76f2 · outbound

This paper cites On the Pitfalls of Heteroscedastic Uncertainty Estimation with Probabilistic Neural Networks.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions On the Pitfalls of Heteroscedastic Uncertainty Estimation with Probabilistic Neural Networks

Reference 27

Resolution: metadata mismatch; arxiv_id, observed 2026-06-30T11:34:37.619938Z

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Observation d1849417-9e26-437c-9a93-ec1c03a49115 · outbound

This paper cites Advances in neural information processing systems33 (2020), 7462–7473.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Advances in neural information processing systems33 (2020), 7462–7473

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.887847Z

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Observation 18284b3b-c22c-4a40-a21d-0ca0b80800ce · outbound

This paper cites InACM SIGGRAPH 2024 Conference Papers.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions InACM SIGGRAPH 2024 Conference Papers

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.946859Z

Source-reported events for the cited work

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Observation 9ca7c0eb-18d1-4de7-b259-ac6beef60dad · outbound

This paper cites Neil A Watson.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Neil A Watson

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.923622Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 81b95ac4-17e0-441c-8b22-471287782731 · outbound

This paper cites Zihan Yu, Rohan Sawhney, Bailey Miller, Lifan Wu, and Shuang Zhao.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Zihan Yu, Rohan Sawhney, Bailey Miller, Lifan Wu, and Shuang Zhao

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.890117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 7058e722-52d5-4525-887c-35a7c5545a1c · outbound

This paper cites Zihan Yu, Lifan Wu, Zhiqian Zhou, and Shuang Zhao.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Zihan Yu, Lifan Wu, Zhiqian Zhou, and Shuang Zhao

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.921756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 2f021876-f3fd-438f-b1e6-f1919bdb37b6 · outbound

This paper cites InACM SIGGRAPH 2024 Conference Papers.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions InACM SIGGRAPH 2024 Conference Papers

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.938420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 5b2fa99e-cd2c-4fe5-9eb8-9280e955885c · outbound

This paper cites A Derivation of the Non-Cylindrical Boundary Integral Equation We derive the non-cylindrical boundary integral representation(11) from first principles.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions A Derivation of the Non-Cylindrical Boundary Integral Equation We derive the non-cylindrical boundary integral representation(11) from first principles

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.901933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation ae08ad7f-d394-44d9-81b7-2c0c3cac9d48 · outbound

This paper cites Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions•19 maps to the wall component of the caloric measure with no addi- tional correction.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions•19 maps to the wall component of the caloric measure with no addi- tional correction

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.917803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation bd26c02b-523b-4252-8a6c-8ff68cab200b · outbound

This paper cites The direction 𝜔 is reused from the directional sampling step (Section 4.5.1), requiring no ad- ditional random variate.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions The direction 𝜔 is reused from the directional sampling step (Section 4.5.1), requiring no ad- ditional random variate

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.892561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Observation 2a4700c2-4b23-4f4b-abec-3facc6eb746f · outbound

This paper cites Conference acronym ’XX, June 03–05, 2018, Woodstock, NY.

Walking on Heat Stars for Parabolic Heat Equations with Neumann Boundary Conditions Conference acronym ’XX, June 03–05, 2018, Woodstock, NY

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-07-09T09:46:12.911195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

Pith citing papers

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