Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:16:26.585812Z
Paper Citation Record · LEDGER
Marginally outer trap surface with capillary boundary and rigidity of initial data sets
As of 8 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2507.16617.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
42 of 42 outbound references displayed
- verified exact3
- verified fuzzy34
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 240ea4ee-91dc-4265-a7a7-f2e658f70b1a · outbound
This paper cites Alaee, M.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Alaee, M
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.913844Z
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 6667fc62-02df-428d-8d55-770a9b087e25 · outbound
This paper cites Almaraz, L.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Almaraz, L
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.906974Z
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 321cdd20-8260-4a2b-bb8e-9426593bb766 · outbound
This paper cites Ambrozio, Rigidity of area-minimizing free boundary surfaces in mean convex three- manifolds, J.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Ambrozio, Rigidity of area-minimizing free boundary surfaces in mean convex three- manifolds, J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.899632Z
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 3a10221a-c380-4c4f-a6ab-7c41a8417fee · outbound
This paper cites Andersson, M.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Andersson, M
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.892906Z
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 528cd25a-131b-48c6-a586-361a4e4740fe · outbound
This paper cites Andersson, M.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Andersson, M
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.886111Z
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 381457de-0aea-4700-84b7-011546c53c5a · outbound
This paper cites Araujo,Critical points of the total scalar curvature plus total mean curvature functional, Indiana Univ.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Araujo,Critical points of the total scalar curvature plus total mean curvature functional, Indiana Univ
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.879242Z
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 130bf16e-bf63-40e6-9d6e-e62ff22a25df · outbound
This paper cites Barros, C.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Barros, C
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.872461Z
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 d9175d07-ac06-497f-ba90-b68a94d6c5a1 · outbound
This paper cites Barros and C.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Barros and C
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.865141Z
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 e09635e7-14d5-49c1-ad39-60f3c541c6f3 · outbound
This paper cites an unresolved cited work.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:16:26.858327Z
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 ec88742a-ec3a-4169-94e1-69eba65eb5a7 · outbound
This paper cites Cai and G.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Cai and G
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.851670Z
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 47db823c-c365-49dc-88da-83717ef6bd2f · outbound
This paper cites Cai and G.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Cai and G
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.844830Z
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 1bc2cda0-1816-4e26-bd86-1846eb64589e · outbound
This paper cites Cai,Volume Minimizing Hypersurfaces in Manifolds of Nonnegative Scalar Curvature, in Minimal surfaces, geometric analysis and symplectic geometry(Baltimore, MD, 1999) Adv.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Cai,Volume Minimizing Hypersurfaces in Manifolds of Nonnegative Scalar Curvature, in Minimal surfaces, geometric analysis and symplectic geometry(Baltimore, MD, 1999) Adv
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.835550Z
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 d729bc06-b018-4349-a8f2-ad579eeea83c · outbound
This paper cites A tilted spacetime positive mass theorem.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets A tilted spacetime positive mass theorem
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T15:16:26.632637Z
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 93e23ac3-c749-4a8d-8007-6d97d890fda8 · outbound
This paper cites Initial data set rigidity results for polyhedra.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Initial data set rigidity results for polyhedra
Reference 14
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T15:16:26.622498Z
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 d9b97e4b-44e4-4198-a852-a36eb53b017b · outbound
This paper cites Cherrier,Problèmes de Neumann non linéaires sur les variétés riemanniennes, J.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Cherrier,Problèmes de Neumann non linéaires sur les variétés riemanniennes, J
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.828395Z
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 5ef917d1-b1cc-462b-b525-b853e1733cff · outbound
This paper cites Cruz and A.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Cruz and A
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.821210Z
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 81a03132-b001-4b8a-b626-1e8ec1e26694 · outbound
This paper cites Rigidity results for free boundary hypersurfaces in initial data sets with boundary.
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 2026-08-07T06:34:17.273281+00:00.
Observation daba9c21-7b2d-45fd-8ab5-dfb3c52d6add · outbound
This paper cites Deng,A Bray-Brendle-Neves type inequality for a Riemannian manifold, Acta Math.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Deng,A Bray-Brendle-Neves type inequality for a Riemannian manifold, Acta Math
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.814360Z
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 45daf769-f296-49ca-bf15-6c173cd57f77 · outbound
This paper cites Escobar, Uniqueness theorems on conformal deformation of metric Sobolev inequalities and an eigenvalue estimate, Commun.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Escobar, Uniqueness theorems on conformal deformation of metric Sobolev inequalities and an eigenvalue estimate, Commun
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.807362Z
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 05d62c6a-dac2-4cf8-8ac4-421033dc8bd6 · outbound
This paper cites Escobar,The Yamabe problem on manifolds with boundary, J.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Escobar,The Yamabe problem on manifolds with boundary, J
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.800358Z
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 38e4991a-2dd6-4cb3-a5aa-6f5fe5e84fae · outbound
This paper cites Escobar, Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary, Ann.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Escobar, Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary, Ann
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.792908Z
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 c98808c9-3923-470b-a430-a4dccf0964db · outbound
This paper cites Escobar,Conformal deformation of a Riemannian metric to a constant scalar curvature metric with constant mean curvature on the boundary, Indiana Univ.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Escobar,Conformal deformation of a Riemannian metric to a constant scalar curvature metric with constant mean curvature on the boundary, Indiana Univ
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.786105Z
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 126e8e8d-b838-440e-8606-dcf2a0498cbc · outbound
This paper cites Fischer-Colbrie, R.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Fischer-Colbrie, R
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.778953Z
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 46ea81b3-36f9-4f33-b301-abd9ee19585f · outbound
This paper cites an unresolved cited work.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:16:26.771053Z
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 51bee95f-7079-41a6-b51f-b7e63941e9f7 · outbound
This paper cites an unresolved cited work.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:16:26.764225Z
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 fc7023bb-31d7-4e45-a190-e6c981a8291e · outbound
This paper cites an unresolved cited work.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:16:26.757654Z
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 e5b5fa7a-5f46-45de-be39-baaf6934c8d4 · outbound
This paper cites Kobayashi,Scalar curvature of a metric with unit volume, Math.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Kobayashi,Scalar curvature of a metric with unit volume, Math
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.749608Z
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 26d092f3-62c9-4f66-9e9c-7372ebe93721 · outbound
This paper cites an unresolved cited work.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Unresolved cited work
Reference 28
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:16:26.742759Z
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 2644df06-5d79-4cec-9f5e-88560a3fba57 · outbound
This paper cites Li,A polyhedron comparison theorem for 3-manifolds with positive scalar curvature, In- vent.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Li,A polyhedron comparison theorem for 3-manifolds with positive scalar curvature, In- vent
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.735837Z
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 b6b0a51c-9706-45c9-b54b-ec4515c38e1e · outbound
This paper cites Longa,Low index capillary minimal surfaces in Riemannian3-manifolds, J.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Longa,Low index capillary minimal surfaces in Riemannian3-manifolds, J
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.728670Z
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 93e0dd0a-cc57-4ebf-a759-d88e478bad5a · outbound
This paper cites Mendes, Rigidity of marginally outer trapped (hyper)surfaces with negativeσ-constant, Trans.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Mendes, Rigidity of marginally outer trapped (hyper)surfaces with negativeσ-constant, Trans
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.721937Z
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 5bd547de-8b9f-42cd-b327-75f5f63327b4 · outbound
This paper cites Mendes,Rigidity of volume-minimizing hypersurfaces in Riemannian 5-manifolds, Math.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Mendes,Rigidity of volume-minimizing hypersurfaces in Riemannian 5-manifolds, Math
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.715018Z
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 db100419-0bed-4200-9d17-a89db713b108 · outbound
This paper cites Mendes,Rigidity of free boundary MOTS, Nonlinear Anal.,220 (2022), 112841.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Mendes,Rigidity of free boundary MOTS, Nonlinear Anal.,220 (2022), 112841
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.708215Z
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 6f34c6e7-c61d-4faf-bdea-ee40ee88e898 · outbound
This paper cites Micallef and V.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Micallef and V
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.701081Z
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 efaeb31d-2220-47e5-ab83-75dd182a3c9f · outbound
This paper cites Moraru,On Area comparison and rigidity involving the scalar curvature, Ph.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Moraru,On Area comparison and rigidity involving the scalar curvature, Ph
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.693262Z
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 1e594ad7-0b13-42ae-b59f-4d72719d3026 · outbound
This paper cites Moraru,On area comparison and rigidity involving the scalar curvature, J.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Moraru,On area comparison and rigidity involving the scalar curvature, J
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.685678Z
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 2cc3abe0-db81-4072-a956-ca46d1663414 · outbound
This paper cites Nunes,Rigidity of area-minimizing hyperbolic surfaces in three-manifolds, J.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Nunes,Rigidity of area-minimizing hyperbolic surfaces in three-manifolds, J
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.678566Z
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 8a260049-b784-4a88-9ef7-ff0a51152e8f · outbound
This paper cites Ros and R.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Ros and R
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.670923Z
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 b5d0d27a-f476-4509-9413-35f44b651d68 · outbound
This paper cites Schoen,Conformal deformation of a Riemannian metric to constant scalar curvature, J.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Schoen,Conformal deformation of a Riemannian metric to constant scalar curvature, J
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.663654Z
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 6f02f1a6-0a09-44df-9c75-003e74b786b6 · outbound
This paper cites Schoen,Variational theory for the total scalar curvature functional for Riemannian met- rics and related topics, vol.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Schoen,Variational theory for the total scalar curvature functional for Riemannian met- rics and related topics, vol
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.656252Z
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 0b455ac5-310a-4e4b-b5c4-caf0b76d8e26 · outbound
This paper cites Schoen and S.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Schoen and S
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.648218Z
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 73a897c9-fdda-4516-9e52-0bd945a9738d · outbound
This paper cites Wang,On Compact Riemannian Manifolds with Convex Boundary and Ricci Curvature Bounded from Below, J.
Marginally outer trap surface with capillary boundary and rigidity of initial data sets Wang,On Compact Riemannian Manifolds with Convex Boundary and Ricci Curvature Bounded from Below, J
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:16:26.640280Z
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.