Paper Citation Record · LEDGER

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space

As of 8 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2505.22339.

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

pith.paper-citation-record.v1
2505.22339 v3

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:20:39.509633Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

33 of 33 outbound references displayed

verified exact0
verified fuzzy25
unresolved8
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 16627bb3-054c-4b86-bdea-5b2349707906 · outbound

This paper cites Bartnik and L.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Bartnik and L

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:46.034216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 866106bb-4ef9-43c7-ab03-1a61c68b9618 · outbound

This paper cites Bayard,Dirichlet problem for space-like hypersurfaces with prescribed scalar curvature in Rn,1, Calc.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Bayard,Dirichlet problem for space-like hypersurfaces with prescribed scalar curvature in Rn,1, Calc

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:45.797430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a422e0d5-faef-40c1-a88d-cef5555c99af · outbound

This paper cites Caffarelli, L.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Caffarelli, L

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:45.528046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b74bb07d-72e1-401f-ba13-fa4f08053806 · outbound

This paper cites Caffarelli, L.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Caffarelli, L

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:45.361977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d6c3714d-2a93-46dc-85f6-a34c674e39d9 · outbound

This paper cites Caffarelli, L.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Caffarelli, L

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:45.121108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a264d48f-ec15-48da-904b-a58315f60306 · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:44.905572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ca4831a0-f8cd-48dc-877d-b786e652e4c7 · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:44.673092Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1d2fdc18-2563-49be-8ee1-c2ca3781ec9c · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:44.519589Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1da927f7-b019-4878-818f-99165b108db0 · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:44.332426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 85c4d678-cd21-4859-b91d-90f2a202ad90 · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:44.106974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c500e17c-e263-490f-a363-bf3623535ff3 · outbound

This paper cites Delano` e,The Dirichlet problem for an equation of given Lorentz-Gaussian curvature, Ukrain.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Delano` e,The Dirichlet problem for an equation of given Lorentz-Gaussian curvature, Ukrain

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:43.794896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 88407d61-b529-484c-9111-858bff2ca6bd · outbound

This paper cites Guan,The Dirichlet problem for Monge-Amp` ere equations in non-convex domains and spacelike hypersurfaces of constant Gauss curvature, Trans.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Guan,The Dirichlet problem for Monge-Amp` ere equations in non-convex domains and spacelike hypersurfaces of constant Gauss curvature, Trans

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:43.610078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4fea166f-06b9-46ad-8c33-855952251691 · outbound

This paper cites Guan,Second order estimates and regularity for fully nonlinear ellitpic equations on Riemannian manifolds, Duke Math.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Guan,Second order estimates and regularity for fully nonlinear ellitpic equations on Riemannian manifolds, Duke Math

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:43.410360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dcc01008-bb48-458f-a61d-107bd1d85f2f · outbound

This paper cites Guan and J.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Guan and J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:43.213327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cf9297ad-6293-4c05-9c70-e73f282d7f24 · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:42.975126Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation afd830c9-4659-477d-9673-1e76dfc354d9 · outbound

This paper cites Guo and H.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Guo and H

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:42.787793Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6812974b-5efe-4620-8b68-bd2155692d33 · outbound

This paper cites Ivochkina,Solution of the Dirichlet problem for equations ofm-th order curvature.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Ivochkina,Solution of the Dirichlet problem for equations ofm-th order curvature

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:42.579280Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e8b99077-41f9-47b2-9573-f80cd135023d · outbound

This paper cites Ivochkina,The Dirichlet problem for the curvature equation of orderm, Algebra i Analiz 2(1990), 192–217; translation in Leningrad Math.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Ivochkina,The Dirichlet problem for the curvature equation of orderm, Algebra i Analiz 2(1990), 192–217; translation in Leningrad Math

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:42.399332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dd876fad-ba58-48bd-993e-a10053c7c950 · outbound

This paper cites Ivochkina, M.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Ivochkina, M

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:42.219028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 62a664ba-44fd-4e78-821f-fee582ce5c14 · outbound

This paper cites Jiao and J.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Jiao and J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:42.049822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 50d21b91-406c-45ae-aff8-6ac0317d456c · outbound

This paper cites Jiao and Z.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Jiao and Z

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:41.882056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f8a9c669-5273-4ae7-a072-54a0b270f715 · outbound

This paper cites Jiao and Z.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Jiao and Z

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:41.711685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d713da8e-5ef2-4296-b44d-079e854db540 · outbound

This paper cites Lin and N.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Lin and N

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:41.467629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6cf4af26-8346-46b3-af22-ab1cfa65f8f5 · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:41.299157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c2deb11c-cda4-4049-a992-909309ed1030 · outbound

This paper cites an unresolved cited work.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:20:41.110713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 648d72e1-4ea2-4dd4-bd5c-fe271df3ef22 · outbound

This paper cites Ren and Z.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Ren and Z

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:40.957495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8d0996d8-81bb-4911-898e-12eb7750f55f · outbound

This paper cites Ren and Z.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Ren and Z

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:40.763062Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3204c5ab-6036-45d2-9b80-dc8fd17f785a · outbound

This paper cites Spruck,Geometric aspects of the theory of fully nonlinear elliptic equations, Clay Mathe- matics Proceedings,2(2005), 283–309.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Spruck,Geometric aspects of the theory of fully nonlinear elliptic equations, Clay Mathe- matics Proceedings,2(2005), 283–309

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:40.620283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation aecb7a80-c7bc-4dc7-b2ab-23b7161b5bc6 · outbound

This paper cites Urbas,The Dirichlet problem for the equation of prescribed scalar curvature in Minkowski space, Calc.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Urbas,The Dirichlet problem for the equation of prescribed scalar curvature in Minkowski space, Calc

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:40.417206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 45d23daa-bc60-4e47-84d2-2489aac76897 · outbound

This paper cites Urbas,Interior curvature bounds for spacelike hypersurfaces of prescribed k-th mean cur- vature, Comm.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Urbas,Interior curvature bounds for spacelike hypersurfaces of prescribed k-th mean cur- vature, Comm

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:40.236664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ccb613cc-e6e0-4783-a43e-97846c030878 · outbound

This paper cites Wang,The Dirichlet problem for the prescribed curvature equations in Minkowski space, J.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Wang,The Dirichlet problem for the prescribed curvature equations in Minkowski space, J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:40.026477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5f87cb47-ead1-4c24-b9af-8bf2c7ba1645 · outbound

This paper cites Wang,The global curvature estimates for Hessian equations, Proceedings of the Interna- tional Consortium of Chinese Mathematicians 2018 (2020), 367–384.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Wang,The global curvature estimates for Hessian equations, Proceedings of the Interna- tional Consortium of Chinese Mathematicians 2018 (2020), 367–384

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:39.800393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7f1118fc-45c0-43ce-8a0c-ceca52c40813 · outbound

This paper cites Zhou,Curvature estimates for a class of Hessian quotient type curvature equations, Calc.

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space Zhou,Curvature estimates for a class of Hessian quotient type curvature equations, Calc

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:20:39.662166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.