Paper Citation Record · LEDGER

A note on the stability of surfaces along null cones under area-preserving variations

As of 20 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2607.09325.

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

pith.paper-citation-record.v1
2607.09325 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T03:51:58.803017Z

measured 29 of 29 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T05:45:55.508227Z

measured 0 of 1 external citation measurements

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28 of 28 outbound references displayed

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Outbound references

Observation 786ec788-2b14-4411-be5d-dfc55bcebd82 · outbound

This paper cites Stable surfaces and free boundary marginally outer trapped surfaces.Calc.

A note on the stability of surfaces along null cones under area-preserving variations Stable surfaces and free boundary marginally outer trapped surfaces.Calc

Reference 1

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Observation 6ff3ce64-2e16-4475-a196-b0dfebb4bac0 · outbound

This paper cites Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes.Adv.

A note on the stability of surfaces along null cones under area-preserving variations Stability of marginally outer trapped surfaces and existence of marginally outer trapped tubes.Adv

Reference 2

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Observation 236ea5cb-3ae4-40f9-92ec-2340000ad442 · outbound

This paper cites Curvature estimates for stable marginally trapped surfaces.J.

A note on the stability of surfaces along null cones under area-preserving variations Curvature estimates for stable marginally trapped surfaces.J

Reference 3

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Observation b89faa59-22f9-42a7-856e-a5eed6b67270 · outbound

This paper cites Brill and Sean A.

A note on the stability of surfaces along null cones under area-preserving variations Brill and Sean A

Reference 4

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Observation 3fce8f37-e490-4cc4-9a74-b21d5e494e36 · outbound

This paper cites On the center of mass of asymp- totically hyperbolic initial data sets.Ann.

A note on the stability of surfaces along null cones under area-preserving variations On the center of mass of asymp- totically hyperbolic initial data sets.Ann

Reference 5

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Observation 0986d2d3-ae61-4c54-acdf-fea1b5ec06c4 · outbound

This paper cites On center of mass and foliations by constant spacetime mean curvature surfaces for isolated systems in general relativity.Calc.

A note on the stability of surfaces along null cones under area-preserving variations On center of mass and foliations by constant spacetime mean curvature surfaces for isolated systems in general relativity.Calc

Reference 6

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Observation 1a9cae6a-6291-4d4e-9f84-a0937a4b3be1 · outbound

This paper cites Some new perspectives on the Kruskal-Szekeres extension with applications to photon surfaces.Lett.

A note on the stability of surfaces along null cones under area-preserving variations Some new perspectives on the Kruskal-Szekeres extension with applications to photon surfaces.Lett

Reference 7

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Observation ed49457f-764f-45d8-8f80-7e900f8cf8e2 · outbound

This paper cites Two rigidity results for surfaces in Schwarzschild spacetimes.Math.

A note on the stability of surfaces along null cones under area-preserving variations Two rigidity results for surfaces in Schwarzschild spacetimes.Math

Reference 8

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Observation 8564aac5-a68f-4b6a-ae27-cac8a9655834 · outbound

This paper cites Some remarks on the quasi-local mass.

A note on the stability of surfaces along null cones under area-preserving variations Some remarks on the quasi-local mass

Reference 9

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Observation e86d0c1a-1094-4fb5-a390-dd9236fdb248 · outbound

This paper cites Galloway and Abraão Mendes.

A note on the stability of surfaces along null cones under area-preserving variations Galloway and Abraão Mendes

Reference 10

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Observation 6bd29080-606c-446c-991a-c0e0ab8403e6 · outbound

This paper cites Galloway and Abraão Mendes.

A note on the stability of surfaces along null cones under area-preserving variations Galloway and Abraão Mendes

Reference 11

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Observation 5d99bdb2-f4de-4588-a74d-681e41b32756 · outbound

This paper cites Galloway and Richard Schoen.

A note on the stability of surfaces along null cones under area-preserving variations Galloway and Richard Schoen

Reference 12

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Observation e339cd4a-9662-4d8d-b0ec-920202977314 · outbound

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A note on the stability of surfaces along null cones under area-preserving variations Unresolved cited work

Reference 13

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Observation 95215445-da61-4244-8802-d271373606d3 · outbound

This paper cites Quatre propriétés isopérimétriques de membranes sphériques ho- mogènes.C.

A note on the stability of surfaces along null cones under area-preserving variations Quatre propriétés isopérimétriques de membranes sphériques ho- mogènes.C

Reference 14

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Observation 6433ddbd-a942-4981-aa6a-d81e055a041c · outbound

This paper cites Foliations of asymptotically Schwarzschildean light- cones by surfaces of constant spacetime mean curvature.Math.

A note on the stability of surfaces along null cones under area-preserving variations Foliations of asymptotically Schwarzschildean light- cones by surfaces of constant spacetime mean curvature.Math

Reference 15

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Observation 9e2aea34-1242-4d5b-9ae0-ce23a6845abd · outbound

This paper cites A proof of the Kazdan-Warner identity via the Minkowski spacetime.

A note on the stability of surfaces along null cones under area-preserving variations A proof of the Kazdan-Warner identity via the Minkowski spacetime

Reference 16

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Observation dcada82d-52e4-4a75-ad70-bafa4ef5dcc9 · outbound

This paper cites Stability of MOTS in totally geodesic null horizons.Classical Quantum Gravity, 29(14):145019, 23, 2012.

A note on the stability of surfaces along null cones under area-preserving variations Stability of MOTS in totally geodesic null horizons.Classical Quantum Gravity, 29(14):145019, 23, 2012

Reference 17

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Observation 62812d47-3cd4-4bfc-a108-a5631c2c02cd · outbound

This paper cites an unresolved cited work.

A note on the stability of surfaces along null cones under area-preserving variations Unresolved cited work

Reference 18

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Observation 3f1ee128-3b43-4391-b5fc-fd331fc4a381 · outbound

This paper cites Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone.

A note on the stability of surfaces along null cones under area-preserving variations Spacelike Submanifolds of Codimension Two with Parallel Mean Curvature Vector Field in Lorentz-Minkowski Spacetime Contained in the Light Cone

Reference 19

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Observation 3dcdec86-6876-46c5-9084-0bc4c8aefd99 · outbound

This paper cites Curvature inequalities and rigidity for constant mean curvature and spacetime constant mean curvature surfaces.

A note on the stability of surfaces along null cones under area-preserving variations Curvature inequalities and rigidity for constant mean curvature and spacetime constant mean curvature surfaces

Reference 20

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Observation 607b363e-7bea-4e9a-833e-91296a2f3289 · outbound

This paper cites Quasi-round MOTSs and stability of the Schwarzschild null Penrose inequality.Ann.

A note on the stability of surfaces along null cones under area-preserving variations Quasi-round MOTSs and stability of the Schwarzschild null Penrose inequality.Ann

Reference 21

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Observation 3dd51a9d-6567-493c-9a2a-02d60e684b3f · outbound

This paper cites an unresolved cited work.

A note on the stability of surfaces along null cones under area-preserving variations Unresolved cited work

Reference 22

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Observation 7909bff7-8f5f-414d-888e-46fcd214da7d · outbound

This paper cites an unresolved cited work.

A note on the stability of surfaces along null cones under area-preserving variations Unresolved cited work

Reference 23

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Observation 964156ae-a7bc-4363-848f-e0427dd50b82 · outbound

This paper cites Phd thesis, Columbia University, New York, NY, July 2014.

A note on the stability of surfaces along null cones under area-preserving variations Phd thesis, Columbia University, New York, NY, July 2014

Reference 24

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Observation 3c055b0b-9b9e-411e-9dce-74f09f38f91c · outbound

This paper cites Phd thesis, University of Tübingen, Tübingen, Germany, December 2023.

A note on the stability of surfaces along null cones under area-preserving variations Phd thesis, University of Tübingen, Tübingen, Germany, December 2023

Reference 25

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Observation ef014715-f7c8-48c5-a4c0-abe4c23d5933 · outbound

This paper cites Ricci flow on surfaces along the standard lightcone in the3+1-Minkowski spacetime.Calc.

A note on the stability of surfaces along null cones under area-preserving variations Ricci flow on surfaces along the standard lightcone in the3+1-Minkowski spacetime.Calc

Reference 26

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Observation 54edd19c-8525-464f-91cf-ecf0b59f8de8 · outbound

This paper cites A De Lellis–Müller type estimate on the Minkowski lightcone.Calc.

A note on the stability of surfaces along null cones under area-preserving variations A De Lellis–Müller type estimate on the Minkowski lightcone.Calc

Reference 27

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Observation 23002a77-3762-4862-9d77-0ff626fa6b40 · outbound

This paper cites An areagrowthargumentfor nullmeancurvatureflowalong thestandard de Sitter lightcone.Comm.

A note on the stability of surfaces along null cones under area-preserving variations An areagrowthargumentfor nullmeancurvatureflowalong thestandard de Sitter lightcone.Comm

Reference 28

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Pith citing papers

Observation c5a548bb-2378-490c-9c07-8d566d906446 · inbound

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones cites this paper.

On the uniqueness of surfaces of constant spacetime mean curvature in asymptotically Schwarzschildean lightcones A note on the stability of surfaces along null cones under area-preserving variations

Reference 34

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