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Paper Citation Record · LEDGER

Inequivalent complexity criteria for free boundary minimal surfaces

As of 16 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:1908.04709.

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

pith.paper-citation-record.v1
1908.04709 v3

Coverage vector

measured 52 of 52 reference resolution

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

52 of 52 outbound references displayed

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External citation measurements

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Outbound references

Observation d9cc6034-3589-481d-8aa4-dd2697b0f0f9 · outbound

This paper cites an unresolved cited work.

Inequivalent complexity criteria for free boundary minimal surfaces Unresolved cited work

Reference 1

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This paper cites Ambrosio, A.

Inequivalent complexity criteria for free boundary minimal surfaces Ambrosio, A

Reference 2

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This paper cites Ambrozio, R.

Inequivalent complexity criteria for free boundary minimal surfaces Ambrozio, R

Reference 3

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Observation 0d696201-eef7-4921-9c26-699d5e1060f1 · outbound

This paper cites Ambrozio, A.

Inequivalent complexity criteria for free boundary minimal surfaces Ambrozio, A

Reference 4

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Inequivalent complexity criteria for free boundary minimal surfaces Unresolved cited work

Reference 5

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Observation 716c29a9-11cf-488d-8192-e30453fee317 · outbound

This paper cites Calabi, Minimal immersions of surfaces in Euclidean spheres , J.

Inequivalent complexity criteria for free boundary minimal surfaces Calabi, Minimal immersions of surfaces in Euclidean spheres , J

Reference 6

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This paper cites Carlotto, Generic finiteness of minimal surfaces with bounded Morse in dex, Ann.

Inequivalent complexity criteria for free boundary minimal surfaces Carlotto, Generic finiteness of minimal surfaces with bounded Morse in dex, Ann

Reference 7

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Observation 2fe3129b-2f33-4deb-8581-6a936f6081eb · outbound

This paper cites Carlotto, O.

Inequivalent complexity criteria for free boundary minimal surfaces Carlotto, O

Reference 8

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Observation 176f89aa-90b8-46fb-a3b8-22686b4d0763 · outbound

This paper cites Constrained deformations of positive scalar curvature metrics.

Inequivalent complexity criteria for free boundary minimal surfaces Constrained deformations of positive scalar curvature metrics

Reference 9

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Observation 1be872fc-7968-430d-a741-0397206b8714 · outbound

This paper cites Chodosh, D.

Inequivalent complexity criteria for free boundary minimal surfaces Chodosh, D

Reference 10

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Observation aac15309-77a6-4ea4-a434-5771ce7afe9a · outbound

This paper cites Chodosh and D.

Inequivalent complexity criteria for free boundary minimal surfaces Chodosh and D

Reference 11

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Observation dda22ed3-f634-4a6d-a763-f8a7b4e2dd60 · outbound

This paper cites On the topology and index of minimal surfaces II.

Inequivalent complexity criteria for free boundary minimal surfaces On the topology and index of minimal surfaces II

Reference 12

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Inequivalent complexity criteria for free boundary minimal surfaces Unresolved cited work

Reference 13

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Observation a8776393-9201-4c8e-8c49-9a9786cafa42 · outbound

This paper cites Colding and C.

Inequivalent complexity criteria for free boundary minimal surfaces Colding and C

Reference 14

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Inequivalent complexity criteria for free boundary minimal surfaces Unresolved cited work

Reference 15

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Observation 43944718-348f-4b56-88d1-81dfe5424c8c · outbound

This paper cites 121, Amer.

Inequivalent complexity criteria for free boundary minimal surfaces 121, Amer

Reference 16

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Observation ded49451-82b2-46b5-8c5f-49de28cf6091 · outbound

This paper cites Ejiri and M.

Inequivalent complexity criteria for free boundary minimal surfaces Ejiri and M

Reference 17

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Observation a68fdf29-f9a2-493d-89c6-465535f37cbf · outbound

This paper cites Fischer-Colbrie, On complete minimal surfaces with finite Morse index in three -manifolds, Invent.

Inequivalent complexity criteria for free boundary minimal surfaces Fischer-Colbrie, On complete minimal surfaces with finite Morse index in three -manifolds, Invent

Reference 18

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Observation bf097dc5-cbad-4642-9d04-d2d6d9f245e1 · outbound

This paper cites Fischer-Colbrie and R.

Inequivalent complexity criteria for free boundary minimal surfaces Fischer-Colbrie and R

Reference 19

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Observation 3810f0d3-d3a2-4fc5-a07d-6405f6662374 · outbound

This paper cites Fraser and M.

Inequivalent complexity criteria for free boundary minimal surfaces Fraser and M

Reference 20

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Inequivalent complexity criteria for free boundary minimal surfaces Fraser and R

Reference 21

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This paper cites Math., 5 99, Amer.

Inequivalent complexity criteria for free boundary minimal surfaces Math., 5 99, Amer

Reference 22

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Inequivalent complexity criteria for free boundary minimal surfaces Unresolved cited work

Reference 23

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Observation a05f233c-595c-4b59-800a-f1f7355ea1e6 · outbound

This paper cites Gromov and H.

Inequivalent complexity criteria for free boundary minimal surfaces Gromov and H

Reference 24

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This paper cites Min-max theory for free boundary minimal hypersurfaces II -- General Morse index bounds and applications.

Inequivalent complexity criteria for free boundary minimal surfaces Min-max theory for free boundary minimal hypersurfaces II -- General Morse index bounds and applications

Reference 25

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Observation 80f82b64-17fd-4d49-8f6b-c571e8a7b07f · outbound

This paper cites Guang, M.

Inequivalent complexity criteria for free boundary minimal surfaces Guang, M

Reference 26

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This paper cites Compactness and generic finiteness for free boundary minimal hypersurfaces (I).

Inequivalent complexity criteria for free boundary minimal surfaces Compactness and generic finiteness for free boundary minimal hypersurfaces (I)

Reference 27

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Observation 649f0fb0-f021-49e2-82c2-960e54b46875 · outbound

This paper cites Gulliver and H.

Inequivalent complexity criteria for free boundary minimal surfaces Gulliver and H

Reference 28

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This paper cites Hartman, Geodesic parallel coordinates in the large , Amer.

Inequivalent complexity criteria for free boundary minimal surfaces Hartman, Geodesic parallel coordinates in the large , Amer

Reference 29

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Inequivalent complexity criteria for free boundary minimal surfaces Unresolved cited work

Reference 30

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Observation bf5f0d07-bd2c-47a1-96ab-858b49f9eee8 · outbound

This paper cites Hsiang, Minimal cones and the spherical Bernstein problem.

Inequivalent complexity criteria for free boundary minimal surfaces Hsiang, Minimal cones and the spherical Bernstein problem

Reference 31

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Inequivalent complexity criteria for free boundary minimal surfaces Unresolved cited work

Reference 32

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Observation 132dc2d6-cb83-4c5a-ad12-fff000e30b74 · outbound

This paper cites Free Boundary Minimal Surfaces in the Unit Three-Ball via Desingularization of the Critical Catenoid and the Equatorial Disk.

Inequivalent complexity criteria for free boundary minimal surfaces Free Boundary Minimal Surfaces in the Unit Three-Ball via Desingularization of the Critical Catenoid and the Equatorial Disk

Reference 33

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Observation 993c3efc-05fb-40e7-a09d-9e5fe09090c7 · outbound

This paper cites Free-boundary minimal surfaces with connected boundary in the $3$-ball by tripling the equatorial disc.

Inequivalent complexity criteria for free boundary minimal surfaces Free-boundary minimal surfaces with connected boundary in the $3$-ball by tripling the equatorial disc

Reference 34

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Observation 0d73166e-696c-499c-b8ac-78075adb8cd7 · outbound

This paper cites Equivariant min-max theory.

Inequivalent complexity criteria for free boundary minimal surfaces Equivariant min-max theory

Reference 35

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Observation fc9c4d9d-f5cc-48b6-b370-770ef51c97e4 · outbound

This paper cites Free boundary minimal surfaces of unbounded genus.

Inequivalent complexity criteria for free boundary minimal surfaces Free boundary minimal surfaces of unbounded genus

Reference 36

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This paper cites Free boundary minimal surfaces in the unit ball : recent advances and open questions.

Inequivalent complexity criteria for free boundary minimal surfaces Free boundary minimal surfaces in the unit ball : recent advances and open questions

Reference 37

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Unavailable: canonical work link unavailable.

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Observation b0bbdb57-e4cc-468b-94f1-f484dc98ad84 · outbound

This paper cites Li and X.

Inequivalent complexity criteria for free boundary minimal surfaces Li and X

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:50.270343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation c593b5fc-f88e-4d94-9dd0-6650bca0ee99 · outbound

This paper cites Bounds for the Morse index of free boundary minimal surfaces.

Inequivalent complexity criteria for free boundary minimal surfaces Bounds for the Morse index of free boundary minimal surfaces

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:41:49.895370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:41:49.769046Z digest=sha256:cb25753658eaaa655bb7384854f8071fd68519127e2b8e277bc3558a5920a769

Observation 4f6383bd-8560-4ef1-9edf-251d629f07f8 · outbound

This paper cites an unresolved cited work.

Inequivalent complexity criteria for free boundary minimal surfaces Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:41:50.255375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:41:49.774529Z digest=sha256:caa7dc0edecd59219bcf527e4652bc096380e4444d9120ca73e2d8b11e27a183

Observation cdc0742e-0ef3-4909-baf9-d6c0339396ba · outbound

This paper cites Miao, Positive mass theorem on manifolds admitting corners along a hypersurface, Adv.

Inequivalent complexity criteria for free boundary minimal surfaces Miao, Positive mass theorem on manifolds admitting corners along a hypersurface, Adv

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:50.240641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:41:49.779328Z digest=sha256:49d1f82397de5674568fb435dd6ff787330ef02f9d634b7a3abb305f4ab5448d

Observation e93f18b5-8185-4d0c-a0a3-01c3e808e6ae · outbound

This paper cites Schoen, Estimates for stable minimal surfaces in three dimensional manifolds, Seminar on minimal submanifolds, 111–126, Ann.

Inequivalent complexity criteria for free boundary minimal surfaces Schoen, Estimates for stable minimal surfaces in three dimensional manifolds, Seminar on minimal submanifolds, 111–126, Ann

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:50.225277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:41:49.784515Z digest=sha256:3c1c0afef2731629c94d7703b7dcb3197f9c01493f21ece716d92a80a891d82f

Observation b4a3bd53-b9f0-4037-9508-781a6c906fa7 · outbound

This paper cites Differential Geom.

Inequivalent complexity criteria for free boundary minimal surfaces Differential Geom

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:50.209591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:41:49.789417Z digest=sha256:032eea274445aa4c5bbecf8ebaadecc172ba55adb811c72cd46c9e06ae788123

Observation 8d85d887-fcb3-46d9-a3e0-4190078f9f75 · outbound

This paper cites Schoen and L.

Inequivalent complexity criteria for free boundary minimal surfaces Schoen and L

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:50.194417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:41:49.794459Z digest=sha256:6fb7f1abf6fe04e11907e244c2383257fccdd3444167a2f948f4290d8935ea35

Observation 4b7c2169-8f2e-4acb-8c3d-fd028f2206bc · outbound

This paper cites Schoen and S.-T.

Inequivalent complexity criteria for free boundary minimal surfaces Schoen and S.-T

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:50.178794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:41:49.799304Z digest=sha256:624bcefc13a054d587a87b3ca5162ece72e4fa4ea0a695be289e0569b518d439

Observation e0fcbb28-55e9-4ebc-8e77-c67a654bc411 · outbound

This paper cites Positive Scalar Curvature and Minimal Hypersurface Singularities.

Inequivalent complexity criteria for free boundary minimal surfaces Positive Scalar Curvature and Minimal Hypersurface Singularities

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-14T13:41:49.804259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:41:49.804259Z digest=sha256:68909d69c31a129d9dddf7a77eda70fb87a59cdeadc1e13ee37c9e5882e3be5e

Observation da6505c9-b638-489f-b57e-da0621eef05f · outbound

This paper cites Shiohama, T.

Inequivalent complexity criteria for free boundary minimal surfaces Shiohama, T

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:50.164206Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:41:49.809271Z digest=sha256:33f7dbcd00feb3bcf6131666aa8b5462ef7c1127fe4bf0febc5f95fe0e7028ad

Observation 0b6efb26-ead1-4ff7-a6fe-e44265ea097b · outbound

This paper cites Volkmann, Free boundary problems governed by mean curvature , Ph.D.

Inequivalent complexity criteria for free boundary minimal surfaces Volkmann, Free boundary problems governed by mean curvature , Ph.D

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:50.147868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:41:49.813916Z digest=sha256:34610c2bfc7a4e288bd9563be4d9e79d1d086ba65a08e8b4574ac56cb5a06763

Observation 89558d23-7392-46de-a68e-898eae8a0a13 · outbound

This paper cites White, Complete surfaces of finite total curvature , J.

Inequivalent complexity criteria for free boundary minimal surfaces White, Complete surfaces of finite total curvature , J

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:50.131495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:41:49.818535Z digest=sha256:2a67e9f1543f7fef51f1d555230f87e3800d4d68f7e5fdbb3e7d1dfc7c851a13

Observation 8242744b-abed-46f8-9657-c18c3f56ae96 · outbound

This paper cites an unresolved cited work.

Inequivalent complexity criteria for free boundary minimal surfaces Unresolved cited work

Reference 50

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:41:50.114977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:41:49.823250Z digest=sha256:684fea45a6e8ba74eed9b662748395aab76e42b00a777aba3b622de6e961c39c

Observation ddd7799a-4553-4407-ae79-4e71729ef0f0 · outbound

This paper cites Differential Geom.

Inequivalent complexity criteria for free boundary minimal surfaces Differential Geom

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:50.098209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:41:49.828155Z digest=sha256:086509be47589ef2b6dde195c816e922fc6d346151584284c9823d9180361048

Observation 01047623-20ae-42eb-8a91-51919c16328b · outbound

This paper cites Ser., 22 , Amer.

Inequivalent complexity criteria for free boundary minimal surfaces Ser., 22 , Amer

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:41:50.082460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:41:49.833215Z digest=sha256:a62f22f59935e59609c03dfbc6f252622fe85282f40e94d101752217f75d891b

Pith citing papers

No inbound Pith citation observations are available.