Paper Citation Record · LEDGER

Rigidity results for free boundary hypersurfaces in initial data sets with boundary

As of 13 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 2 inbound Pith citation observations for arXiv:2502.09433.

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

pith.paper-citation-record.v1
2502.09433 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T21:40:50.845043Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:15:00.590829Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T15:16:26.605999Z

Reference resolution

42 of 42 outbound references displayed

verified exact0
verified fuzzy26
unresolved16
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 00e2314f-d569-4040-b527-e3355259efec · outbound

This paper cites Alaee, M.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Alaee, M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.681760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5e81a5c0-ecd3-4ce1-ac4f-00be750026ef · outbound

This paper cites Almaraz, L.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Almaraz, L

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.664857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation eb02072a-57fd-4c86-a103-2ae6da1e0c66 · outbound

This paper cites an unresolved cited work.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T21:40:51.647135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7fd66d1c-3312-4611-853d-5193bfb6bf57 · outbound

This paper cites Anderson, Canonical metrics on 3-manifolds and 4-manifolds , Asian J.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Anderson, Canonical metrics on 3-manifolds and 4-manifolds , Asian J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.628551Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9e7fba52-536d-411c-8ae7-5b69c5bac0d5 · outbound

This paper cites Andersson, M.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Andersson, M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.608163Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4e87050b-3921-42df-8b63-2bb0e0df0f97 · outbound

This paper cites Andersson and J.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Andersson and J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.584482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ebd8c93b-673c-43b9-9f88-50cd44ee3e3a · outbound

This paper cites Aubin, Equations diﬀ´ erentielles non lin´ eaires et probl` eme de Yamabe concernant la courbure scalaire , J.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Aubin, Equations diﬀ´ erentielles non lin´ eaires et probl` eme de Yamabe concernant la courbure scalaire , J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.565869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation eca2c272-1d63-4ecf-9fef-4d6da998ad3d · outbound

This paper cites Barros and C.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Barros and C

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.547549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 756f3d35-bf3d-4b2e-a356-c39d8e947a06 · outbound

This paper cites Barros, C.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Barros, C

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.528147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0862cf5d-4207-42dc-9382-d1d9af594d09 · outbound

This paper cites an unresolved cited work.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T21:40:51.508970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7627918a-f887-4199-881b-a28c6bd4e12c · outbound

This paper cites Brendle and S.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Brendle and S

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.489802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d55c272d-f6b1-4b92-8bed-496e8f2a8b0e · outbound

This paper cites Cai, Volume minimizing hypersurfaces in manifolds of nonnegati ve scalar curvature, Minimal surfaces, geometric analysis and symplectic geometry.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Cai, Volume minimizing hypersurfaces in manifolds of nonnegati ve scalar curvature, Minimal surfaces, geometric analysis and symplectic geometry

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.472074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3c633a09-a69a-4854-ac76-799503f2bd6f · outbound

This paper cites Cai and G.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Cai and G

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.454842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation debf4e21-cdfe-4709-96b4-f477d92e82b6 · outbound

This paper cites an unresolved cited work.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T21:40:51.437357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c1d69061-7948-4d18-8841-2b1ef2d153a1 · outbound

This paper cites an unresolved cited work.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T21:40:51.420505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 654d5e75-7041-4396-8afa-bc958d67a193 · outbound

This paper cites Cruz and A.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Cruz and A

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.403243Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c73cc250-d302-4c24-b187-edf20d953b07 · outbound

This paper cites de Moura Almaraz, An existence theorem of conformal scalar-ﬂat metrics on man ifolds with boundary , Pac.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary de Moura Almaraz, An existence theorem of conformal scalar-ﬂat metrics on man ifolds with boundary , Pac

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.384718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fd8bd166-25e8-4479-8977-989c1c6e6c62 · outbound

This paper cites Deng, A Bray-Brendle-Neves type inequality for a Riemannian mani fold, Acta Math.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Deng, A Bray-Brendle-Neves type inequality for a Riemannian mani fold, Acta Math

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.366761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 484b4393-fc07-47f6-a4f4-35c6ef11012d · outbound

This paper cites Ecker and G.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Ecker and G

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.349067Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2e5c86c9-749c-4a78-a7df-5243bb9940d6 · outbound

This paper cites an unresolved cited work.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T21:40:51.331874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0bd44a45-2c6f-42fd-b694-4dd07c76df0b · outbound

This paper cites an unresolved cited work.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T21:40:51.314224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e6ed74ce-5ec6-4e0e-909e-9e79d3bdb2ea · outbound

This paper cites an unresolved cited work.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T21:40:51.296591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ce451e93-08b2-4113-b40d-05dfda93c538 · outbound

This paper cites Fischer-Colbrie and R.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Fischer-Colbrie and R

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.279235Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 666d81ab-290c-4a1e-9a16-4645a3799b74 · outbound

This paper cites an unresolved cited work.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T21:40:51.261109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a3275e0b-19de-431b-9f6c-ac24f84e3782 · outbound

This paper cites an unresolved cited work.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T21:40:51.242982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c570dd1c-52b1-46ee-92e5-e6ce431e4788 · outbound

This paper cites an unresolved cited work.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-07T21:40:51.225889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9748dac7-d556-429a-839d-105c84eacf6a · outbound

This paper cites an unresolved cited work.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T21:40:51.208336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 3d314b93-4147-4494-b8cd-2a0021bb0489 · outbound

This paper cites an unresolved cited work.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T21:40:51.192099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4fa50017-7dd7-4ae2-9e93-8e68498b5ad9 · outbound

This paper cites an unresolved cited work.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T21:40:51.175250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c1df9bc4-16a7-40c8-8220-1f9e92f2b1bc · outbound

This paper cites Mendes, Rigidity of marginally outer trapped (hyper)surfaces with negative σ-constant, Trans.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Mendes, Rigidity of marginally outer trapped (hyper)surfaces with negative σ-constant, Trans

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.157371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation afa73b74-0c47-4f97-94f5-de70ba4c9635 · outbound

This paper cites an unresolved cited work.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T21:40:51.138905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation cd3fc006-b17b-43f9-9643-96bf86288f93 · outbound

This paper cites A, Theory Methods 220 (2022), 15 (English), Id/No 112841.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary A, Theory Methods 220 (2022), 15 (English), Id/No 112841

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.120741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0a6019a4-8a7e-421d-a9b8-560251914f60 · outbound

This paper cites Micallef and V.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Micallef and V

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.102619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0b5d5a9f-e5b3-4300-9f64-c334c5223e48 · outbound

This paper cites Moraru, On area comparison and rigidity involving the scalar curvat ure, J.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Moraru, On area comparison and rigidity involving the scalar curvat ure, J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.084910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 613fe57f-3946-439d-adef-19120b0da139 · outbound

This paper cites Nunes, Rigidity of area-minimizing hyperbolic surfaces in three- manifolds, J.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Nunes, Rigidity of area-minimizing hyperbolic surfaces in three- manifolds, J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.061976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 619cbc4d-95cf-4691-b344-429abfc4fc8f · outbound

This paper cites an unresolved cited work.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-07T21:40:51.037464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7d49206c-8119-4ffc-952e-3bb257ca6733 · outbound

This paper cites Schoen, Conformal deformation of a Riemannian metric to constant sc alar curvature, J.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Schoen, Conformal deformation of a Riemannian metric to constant sc alar curvature, J

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:51.009483Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8254f607-8b78-4ef4-975f-0ec348aae2f5 · outbound

This paper cites Schoen and S.-T.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Schoen and S.-T

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:50.983784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7974e74f-7927-4a53-9c08-673a7473b0fa · outbound

This paper cites Symp., Madison/Wis.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Symp., Madison/Wis

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:50.963883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7866e957-4197-42d7-aead-f894b7d04da5 · outbound

This paper cites Stahl, Regularity estimates for solutions to the mean curvature ﬂo w with a Neumann boundary condition, Calc.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Stahl, Regularity estimates for solutions to the mean curvature ﬂo w with a Neumann boundary condition, Calc

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:50.943146Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e31cd838-b834-4c62-b3e2-d5be5e30b9ac · outbound

This paper cites an unresolved cited work.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Unresolved cited work

Reference 41

Resolution: unresolved; raw_fallback, observed 2026-08-07T21:40:50.923337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 073abab6-9ad9-4602-a5c8-d60c2c8fda0e · outbound

This paper cites Yamabe, On a deformation of Riemannian structures on compact manifo lds, Osaka Math.

Rigidity results for free boundary hypersurfaces in initial data sets with boundary Yamabe, On a deformation of Riemannian structures on compact manifo lds, Osaka Math

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T21:40:50.902327Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation 11ece446-55c1-4abb-80e5-ed7ab9b81092 · inbound

Area-charge inequality and local rigidity in charged initial data sets cites this paper.

Area-charge inequality and local rigidity in charged initial data sets Rigidity results for free boundary hypersurfaces in initial data sets with boundary

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T14:15:00.590829Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81a03132-b001-4b8a-b626-1e8ec1e26694 · inbound

Marginally outer trap surface with capillary boundary and rigidity of initial data sets cites this paper.

Marginally outer trap surface with capillary boundary and rigidity of initial data sets Rigidity results for free boundary hypersurfaces in initial data sets with boundary

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:16:26.610718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.