Paper Citation Record · LEDGER

PDE methods for extracting normal vector fields and distance functions of shapes

As of 20 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2506.19323.

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

pith.paper-citation-record.v1
2506.19323 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:45:12.922562Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T14:31:59.049712Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

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verified fuzzy16
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 02bec984-6b69-4e59-b6b9-b68ca6686d4a · outbound

This paper cites M.: Structural optimization using sensitivity analysis and a level-set method.

PDE methods for extracting normal vector fields and distance functions of shapes M.: Structural optimization using sensitivity analysis and a level-set method

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:13.356457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1d8fe216-b906-4c68-bf7a-fd7ebcaf1edc · outbound

This paper cites G., Fayolle, P.-A.: On variational and PDE-based distance function approxima- tions.

PDE methods for extracting normal vector fields and distance functions of shapes G., Fayolle, P.-A.: On variational and PDE-based distance function approxima- tions

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:13.334749Z

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Observation 6ea7445b-9262-43e4-8749-c18ac5c8ff5c · outbound

This paper cites Springer, New York (2011).

PDE methods for extracting normal vector fields and distance functions of shapes Springer, New York (2011)

Reference 3

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Observation 0ce967fb-c41e-4a56-aecc-ffa524dd8083 · outbound

This paper cites ACM Transactions on Graphics32, Issue 5, 1–11 (2013).

PDE methods for extracting normal vector fields and distance functions of shapes ACM Transactions on Graphics32, Issue 5, 1–11 (2013)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:13.305340Z

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Observation 5c8488a7-cfc2-4091-8e5f-17fb21828245 · outbound

This paper cites H., Souganidis, P.

PDE methods for extracting normal vector fields and distance functions of shapes H., Souganidis, P

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:13.288048Z

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Observation ecf14b65-11b9-4217-88d9-8be8989dcdaa · outbound

This paper cites S.: Elliptic Partial Differential Equations of Second Order.

PDE methods for extracting normal vector fields and distance functions of shapes S.: Elliptic Partial Differential Equations of Second Order

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:13.269742Z

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Observation 4cfb293e-5b13-4394-a936-cc99dc7bef81 · outbound

This paper cites L., Tosun, D., Rettmann, M.

PDE methods for extracting normal vector fields and distance functions of shapes L., Tosun, D., Rettmann, M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:13.251193Z

Source-reported events for the cited work

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Observation cf64a908-f542-4d5e-a864-0f63b0217b2f · outbound

This paper cites Transactions of the Japan Society for Industrial and Applied Mathematics30, 249–258 (2020).

PDE methods for extracting normal vector fields and distance functions of shapes Transactions of the Japan Society for Industrial and Applied Mathematics30, 249–258 (2020)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:13.233304Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c56a9889-c1d9-4c5e-bb84-1f0efa0e75a7 · outbound

This paper cites Construction of signed distance functions through an elliptic equation.

PDE methods for extracting normal vector fields and distance functions of shapes Construction of signed distance functions through an elliptic equation

Reference 9

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Source-reported events for the cited work

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Observation 4d23dad1-2ec9-424d-9f76-a32b0dfa81a9 · outbound

This paper cites T., Jonker, P., Twilt, F.: Nonlinear Optimization in Finite Dimensions: Morse Theory, Chebyshev Approximation, Transversality, Flows, Parametric Aspects.

PDE methods for extracting normal vector fields and distance functions of shapes T., Jonker, P., Twilt, F.: Nonlinear Optimization in Finite Dimensions: Morse Theory, Chebyshev Approximation, Transversality, Flows, Parametric Aspects

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:13.214595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation c6626a06-6004-4264-bcf3-066752c7ed7f · outbound

This paper cites Journal of Mathematical Sciences257, 673–683 (2021).

PDE methods for extracting normal vector fields and distance functions of shapes Journal of Mathematical Sciences257, 673–683 (2021)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:13.196228Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7f639e61-a8d7-46d2-a0a4-efe0dc2a7725 · outbound

This paper cites Graduate Studies in Math.

PDE methods for extracting normal vector fields and distance functions of shapes Graduate Studies in Math

Reference 12

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Source-reported events for the cited work

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Observation f21a0c56-096e-4ef1-9715-6422531b7cdb · outbound

This paper cites L.: Generalized Solutions of Hamilton-Jacobi Equations.

PDE methods for extracting normal vector fields and distance functions of shapes L.: Generalized Solutions of Hamilton-Jacobi Equations

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:13.142115Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 19c274bd-f4d5-4a91-883f-76a227cf2120 · outbound

This paper cites W.: Manifolds of Differentiable Mappings.

PDE methods for extracting normal vector fields and distance functions of shapes W.: Manifolds of Differentiable Mappings

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:13.125546Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 03900272-bcb9-44ed-a563-18deb159c7be · outbound

This paper cites an unresolved cited work.

PDE methods for extracting normal vector fields and distance functions of shapes Unresolved cited work

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 950077fa-f041-44f2-b774-7db41aca9487 · outbound

This paper cites Mathematical analysis of a partial differential equation system on the thickness.

PDE methods for extracting normal vector fields and distance functions of shapes Mathematical analysis of a partial differential equation system on the thickness

Reference 16

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Observation cafbaaea-a030-49d9-a1c5-2cb1753f6994 · outbound

This paper cites W.: A review of constraint qualifications in finite-dimensional spaces.

PDE methods for extracting normal vector fields and distance functions of shapes W.: A review of constraint qualifications in finite-dimensional spaces

Reference 17

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Observation c41ce68d-2aa1-4b46-a146-118788e5b9af · outbound

This paper cites V.: Adjoint methods for static Hamilton–Jacobi equations.

PDE methods for extracting normal vector fields and distance functions of shapes V.: Adjoint methods for static Hamilton–Jacobi equations

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:13.072001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ae45afd5-5dc7-4f5a-8d94-a79457e41388 · outbound

This paper cites an unresolved cited work.

PDE methods for extracting normal vector fields and distance functions of shapes Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:45:13.054556Z

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Observation bbb58a62-44f9-4135-8dfc-5f82883d97ad · outbound

This paper cites Journal of Computational Design and Engineering6, Issue 4, 647–656 (2019).

PDE methods for extracting normal vector fields and distance functions of shapes Journal of Computational Design and Engineering6, Issue 4, 647–656 (2019)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:13.035498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bf0cfedc-a7dd-452f-a29f-aff6a86f0076 · outbound

This paper cites EngOpt 2018 Proceedings of the 6th International Conference on Engineering Opti- mization, 483–490 (2019).

PDE methods for extracting normal vector fields and distance functions of shapes EngOpt 2018 Proceedings of the 6th International Conference on Engineering Opti- mization, 483–490 (2019)

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T18:45:13.016420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d4bfe2e1-6740-438c-956c-ba55304656bb · outbound

This paper cites an unresolved cited work.

PDE methods for extracting normal vector fields and distance functions of shapes Unresolved cited work

Reference 181

Resolution: unresolved; raw_fallback, observed 2026-08-15T18:45:13.158402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

Observation 3e8bcfac-d6e5-4662-807d-a12be7541652 · inbound

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values cites this paper.

Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values PDE methods for extracting normal vector fields and distance functions of shapes

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-01T14:31:59.049712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.