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Paper Citation Record · LEDGER

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions

As of 21 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2411.08366.

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

pith.paper-citation-record.v1
2411.08366 v1

Coverage vector

measured 47 of 47 reference resolution

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measured 47 of 47 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 0 of 0 inbound itemization

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Reference resolution

47 of 47 outbound references displayed

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  • verified fuzzy2
  • unresolved17
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Outbound references

Observation 16d34875-c438-45f7-88f6-b48dc155d59f · outbound

This paper cites Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions Quasilinear wave equations on asymptotically flat spacetimes with applications to Kerr black holes

Reference 14

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Observation 225c66f4-f2d9-4876-9fa0-1a9d02feef0d · outbound

This paper cites [EHHS15] J.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [EHHS15] J

Reference 17

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Observation 8ae62c1f-0036-46bc-9000-2e0aa54c27d3 · outbound

This paper cites [Ger24] Pierre Germain.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [Ger24] Pierre Germain

Reference 20

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Observation a8b752c3-9375-4be4-90bf-1530ea46d373 · outbound

This paper cites A review on asymptotic stability of solitary waves in nonlinear dispersive problems in dimension one.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions A review on asymptotic stability of solitary waves in nonlinear dispersive problems in dimension one

Reference 21

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Observation 03750c52-c43b-49a8-ab97-2d2e397d5cdf · outbound

This paper cites [Kad24a] Istvan Kadar.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [Kad24a] Istvan Kadar

Reference 23

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Observation 52e2e8c1-3471-4cdc-a7fc-3874cbf47878 · outbound

This paper cites Construction of multi-soliton solutions for the energy critical wave equation in dimension 3.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions Construction of multi-soliton solutions for the energy critical wave equation in dimension 3

Reference 24

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source=pdf_text observed=2026-08-12T21:46:04.660250Z digest=sha256:63ff3778697c28bd7f3e8a9d12dd896f40b987f3c35d93bfb6d94b2803e60559

Observation 14700554-212c-4b22-8780-2d395d302ccd · outbound

This paper cites A scattering theory construction of dynamical solitons in 3d.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions A scattering theory construction of dynamical solitons in 3d

Reference 25

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Observation 23b3ca89-d986-4efb-96ba-cc053815d9ca · outbound

This paper cites URL: http: //www.numdam.org/articles/10.5802/slsedp.111/, doi:10.5802/slsedp.111.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions URL: http: //www.numdam.org/articles/10.5802/slsedp.111/, doi:10.5802/slsedp.111

Reference 27

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Observation a10e79c6-5170-4233-b76c-0d0cb84f40ff · outbound

This paper cites Late time tail of waves on dynamic asymptotically flat spacetimes of odd space dimensions.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions Late time tail of waves on dynamic asymptotically flat spacetimes of odd space dimensions

Reference 30

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Observation eddb2965-d885-44b5-aaca-6a9b6f39a724 · outbound

This paper cites [NT13] Luc Nguyen and Gang Tian.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [NT13] Luc Nguyen and Gang Tian

Reference 34

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Observation ace4a29e-9b74-4549-9df3-b1cf2a2d63ba · outbound

This paper cites [OS24] Sung-Jin Oh and Sohrab Shahshahani.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [OS24] Sung-Jin Oh and Sohrab Shahshahani

Reference 36

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Observation 68f55d90-8f34-4561-ab52-37d75419f4d9 · outbound

This paper cites Stability of the 3-dimensional catenoid for the hyperbolic vanishing mean curvature equation.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions Stability of the 3-dimensional catenoid for the hyperbolic vanishing mean curvature equation

Reference 37

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Observation 66ababef-a1b9-4175-9261-63b6c55fab69 · outbound

This paper cites [ST05] Hart F.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [ST05] Hart F

Reference 40

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Observation 00873e9b-36c1-4afb-abf4-8cf9fb9cda65 · outbound

This paper cites [Stu01] David M.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [Stu01] David M

Reference 42

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Observation 91e7d8c5-70f0-4e22-b6e7-614bd1842dfe · outbound

This paper cites [TZ09] Luen-Fai Tam and Detang Zhou.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [TZ09] Luen-Fai Tam and Detang Zhou

Reference 43

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source=pdf_text observed=2026-08-12T21:46:04.766573Z digest=sha256:4ebba4444b53e7fb9aa8db8913b31752e658c2b4059e2545f86f866ea5e11a58

Observation 82cc77f8-67f5-4c2d-89dd-26fb61a3ba33 · outbound

This paper cites 3160100204.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions 3160100204

Reference 1957

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Observation 773f2a9c-6df1-4f10-8b58-2f60c3e074de · outbound

This paper cites [Sch83] Richard M.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [Sch83] Richard M

Reference 1970

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source=pdf_text observed=2026-08-12T21:46:04.744808Z digest=sha256:21467b149999e62546dd18cb9c13713e235722e069b11022fc54ea76aa9e683a

Observation e1f6c6bd-6565-4238-8ed4-0709e6e31e5e · outbound

This paper cites doi:10.1016/0022-247X(73)90138-8.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions doi:10.1016/0022-247X(73)90138-8

Reference 1973

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Observation 67d209b2-59bd-40fa-a228-3796de875b99 · outbound

This paper cites [DHRT24] Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski, and Martin Taylor.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [DHRT24] Mihalis Dafermos, Gustav Holzegel, Igor Rodnianski, and Martin Taylor

Reference 1976

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Observation 51deeb22-1df8-4312-b068-73d65de451a7 · outbound

This paper cites [Agm82] Shmuel Agmon.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [Agm82] Shmuel Agmon

Reference 1979

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Observation 81e75cb2-1211-4e97-be69-706ca2e5261f · outbound

This paper cites [Chr86] Demetrios Christodoulou.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [Chr86] Demetrios Christodoulou

Reference 1981

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Observation ebb6b263-07be-4403-b018-604c5ced3dbd · outbound

This paper cites [Lin98] Hans Lindblad.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [Lin98] Hans Lindblad

Reference 1983

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Observation e9e2258d-bdd4-4220-8947-2dce647d1591 · outbound

This paper cites [BMP21] Hajer Bahouri, Alaa Marachli, and Galina Perelman.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [BMP21] Hajer Bahouri, Alaa Marachli, and Galina Perelman

Reference 1984

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Observation 74d713ad-73d6-4100-b12c-6de8f617f979 · outbound

This paper cites [Won11] Willie Wai-Yeung Wong.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [Won11] Willie Wai-Yeung Wong

Reference 1985

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Observation 73197aff-9bb6-46ec-95c2-fa91ca0ac308 · outbound

This paper cites [CK90] D.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [CK90] D

Reference 1986

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Observation 913195f9-61f9-4cbb-915d-424a549307e6 · outbound

This paper cites [MN57] C.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [MN57] C

Reference 1993

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Observation 8bb030bb-ddec-469e-a957-c164a39a1f53 · outbound

This paper cites 104 NING TANG [JNO15] Robert L.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions 104 NING TANG [JNO15] Robert L

Reference 1994

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Observation 92aef2de-e2ec-4b6f-a17e-d1d7d03f95cf · outbound

This paper cites [Lin04] Hans Lindblad.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [Lin04] Hans Lindblad

Reference 1998

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Observation 88a4e835-8d15-4b3f-b263-08e25474c5a6 · outbound

This paper cites [Ali01b] S.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [Ali01b] S

Reference 2001

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Observation fee7ced8-0262-476f-86c2-446dbf92e249 · outbound

This paper cites [CBC81] Y.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [CBC81] Y

Reference 2002

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Observation d4ab7b73-5d3b-4e64-a4e9-45845a503c16 · outbound

This paper cites [Ste11] Atanas Stefanov.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [Ste11] Atanas Stefanov

Reference 2005

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Observation d9d4725e-9390-4cce-bd17-8bae33e49f22 · outbound

This paper cites [Wei85] Michael I.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [Wei85] Michael I

Reference 2009

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Observation 214018a9-4709-461f-b0a2-d456c2a47f4d · outbound

This paper cites K¨ uster and R.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions K¨ uster and R

Reference 2010

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Observation b3516d6d-faa8-481d-9cdf-c74606a35d97 · outbound

This paper cites [CY76] Shiu Yuen Cheng and Shing Tung Yau.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [CY76] Shiu Yuen Cheng and Shing Tung Yau

Reference 2011

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Observation ab248164-17e9-4164-b4ca-5297c5dcfb87 · outbound

This paper cites 2012.v9.n2.a1.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions 2012.v9.n2.a1

Reference 2012

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Observation d64547fe-2b7b-472b-ba3b-e94ed3d8e42f · outbound

This paper cites URL: http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_ val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss: 3623605.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions URL: http://gateway.proquest.com/openurl?url_ver=Z39.88-2004&rft_ val_fmt=info:ofi/fmt:kev:mtx:dissertation&res_dat=xri:pqm&rft_dat=xri:pqdiss: 3623605

Reference 2013

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verified fuzzy
raw_fallback, observed 2026-08-12T21:46:05.889822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T21:46:04.632741Z digest=sha256:c6879966f577e47b691b56c26d3c6722b35701724258611717484014de9dd1f3

Observation b6e799aa-75a0-48b0-a598-709f245b81cd · outbound

This paper cites Stability and instability of expanding solutions to the Lorentzian constant-positive-mean-curvature flow.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions Stability and instability of expanding solutions to the Lorentzian constant-positive-mean-curvature flow

Reference 2014

Resolution
metadata mismatch
local_arxiv, observed 2026-08-12T21:46:05.332630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T21:46:04.780788Z digest=sha256:0756f9b6cc4bfe392aa524e85e612cf56edc36755d4edfb5c1e2df68cecb8249

Observation 108c6744-7f1e-4c29-8c7a-384acf5a0a5d · outbound

This paper cites [Ett13] Boris Ettinger.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [Ett13] Boris Ettinger

Reference 2015

Resolution
verified exact
doi, observed 2026-08-12T21:46:05.101260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T21:46:04.626652Z digest=sha256:414b1f8e07e3b39da364ff84a1685667ed91ebd4f3d9d906e55d9b8f0f326a0e

Observation 8cd67ca8-b90f-4221-a470-873c310008bc · outbound

This paper cites [DR10] Mihalis Dafermos and Igor Rodnianski.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [DR10] Mihalis Dafermos and Igor Rodnianski

Reference 2016

Resolution
unresolved
no resolver link, observed 2026-08-12T21:46:04.616347Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T21:46:04.616347Z digest=sha256:2c529b7d6f93f08c03e25d7b42ba3c050a27d9fdfe97fff8142e53b51ac71afc

Observation 4ea6b763-f1fe-46a1-9393-60c5adde4df2 · outbound

This paper cites [Won18] Willie Wai Yeung Wong.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [Won18] Willie Wai Yeung Wong

Reference 2017

Resolution
verified exact
doi, observed 2026-08-12T21:46:04.824536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T21:46:04.785472Z digest=sha256:1516280841d4ac9c2747b3133791833b39d5dfef13041fc5fad756d3e6bc83f1

Observation 244b8659-d6b8-4be1-98ad-8c7fad591a62 · outbound

This paper cites [Abb20] Leonardo E.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [Abb20] Leonardo E

Reference 2018

Resolution
verified exact
doi, observed 2026-08-12T21:46:05.307925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T21:46:04.515847Z digest=sha256:a7fd0a20ea7445c5b52694db0b4a0f014444f46546243ab6ed86c6eacd788bd9

Observation 19ef11df-45b6-4299-a230-9513abf8aac0 · outbound

This paper cites doi:10.1007/978-3-030-19670-7.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions doi:10.1007/978-3-030-19670-7

Reference 2019

Resolution
verified exact
doi, observed 2026-08-12T21:46:04.951139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T21:46:04.739176Z digest=sha256:8d9ac4525b4812d5b0755f790e4c02b0b3707cf2d7bdcf0a4abbd0fd87ac06a1

Observation a44b6201-e885-494e-a090-5e9fd6e74b79 · outbound

This paper cites [AZ23] John Anderson and Samuel Zbarsky.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [AZ23] John Anderson and Samuel Zbarsky

Reference 2020

Resolution
verified exact
doi, observed 2026-08-12T21:46:05.263812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T21:46:04.541762Z digest=sha256:e4277299aa9d5da031aa16890e36fe792f75a7616c60fc5f5c5240a68d2a002a

Observation 896f2d2f-7506-440d-a585-fbc8f8df0b25 · outbound

This paper cites [Bre02] Simon Brendle.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [Bre02] Simon Brendle

Reference 2021

Resolution
verified exact
doi, observed 2026-08-12T21:46:05.233561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T21:46:04.562523Z digest=sha256:df5237c24bc12f1e41fd1eb06526cbf95cc1ed11c00a58f2a889679d3d7625c2

Observation 6fd617c9-0b0d-4ea2-8016-a4b50accf917 · outbound

This paper cites Stability of the Catenoid for the Hyperbolic Vanishing Mean Curvature Equation Outside Symmetry.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions Stability of the Catenoid for the Hyperbolic Vanishing Mean Curvature Equation Outside Symmetry

Reference 2022

Resolution
metadata mismatch
local_arxiv, observed 2026-08-12T21:46:05.469173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-12T21:46:04.700086Z digest=sha256:73699354ff247a273786641d709e16228be2b73b6b2f59a726ba321fdbe53d88

Observation c1dfaf98-1f95-4b49-a416-91bcf5bc175e · outbound

This paper cites [Bar84] Robert Bartnik.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [Bar84] Robert Bartnik

Reference 2023

Resolution
malformed identifier
no resolver link, observed 2026-08-12T21:46:04.548221Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T21:46:04.548221Z digest=sha256:7598adb10e8d80c0d5555f58f1cd8082567d88b323baa89e0618c234c44dce10

Observation 89ecee6d-48e7-4850-9099-cbb7eaf9566f · outbound

This paper cites [Ali01a] S.

Stability of the catenoid for the hyperbolic vanishing mean curvature equation in 4 spatial dimensions [Ali01a] S

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-12T21:46:04.528352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T21:46:04.528352Z digest=sha256:ed5b85e25b15fb551a91b4e0a08fa1aed2473ee48be4f385c6163906482ee146

Pith citing papers

No inbound Pith citation observations are available.