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Paper Citation Record · LEDGER

Existence of free boundary minimal disks in convex regions

As of 14 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:2606.02396.

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

pith.paper-citation-record.v1
2606.02396 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-28T12:33:21.705664Z

measured 40 of 40 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-27T01:57:01.968206Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T19:18:54.768870Z

Reference resolution

39 of 39 outbound references displayed

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  • verified fuzzy0
  • unresolved35
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External citation measurements

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Outbound references

Observation 599cb22b-4f2d-4016-a825-6c2b326475cf · outbound

This paper cites MR0146835.

Existence of free boundary minimal disks in convex regions MR0146835

Reference 1

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Observation 2c845af5-e9de-48ca-8c97-1a00b6dc1002 · outbound

This paper cites an unresolved cited work.

Existence of free boundary minimal disks in convex regions Unresolved cited work

Reference 2

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:0f531b4a332835aedab41c72974a5064dda6e45a88648fae46dc123179ed7829

Observation f98e6608-7c1c-4f62-9bb3-1058fd3af80a · outbound

This paper cites an unresolved cited work.

Existence of free boundary minimal disks in convex regions Unresolved cited work

Reference 3

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:b9ad347c44a28cc724a066a7a3d593ecfa9166b4a30c5c04b8faaa5a9de6c6bb

Observation cebd8fee-404b-454a-bb0b-4f7d09dc42be · outbound

This paper cites Colding and Camillo De Lellis,The min-max construction of minimal surfaces, Surveys in differ- ential geometry, Vol.

Existence of free boundary minimal disks in convex regions Colding and Camillo De Lellis,The min-max construction of minimal surfaces, Surveys in differ- ential geometry, Vol

Reference 4

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:36ac798336e4ab5ad7277c6d6d0ad07dc6bfddc3b83b63f4679446f6db1af46d

Observation c542cb7d-0507-454b-b8b3-7934dae04398 · outbound

This paper cites Colding and William P.

Existence of free boundary minimal disks in convex regions Colding and William P

Reference 5

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:48718fd259037e9e20d516ebafc5cad72279c843fd4be1e3774cef28d32c2655

Observation 0a3345fd-3f57-4495-9fa4-c79f329d6371 · outbound

This paper cites Schulz,Topological control for min-max free boundary minimal surfaces(2023), available at arXiv:math/2307.00941.

Existence of free boundary minimal disks in convex regions Schulz,Topological control for min-max free boundary minimal surfaces(2023), available at arXiv:math/2307.00941

Reference 6

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arxiv_id, observed 2026-07-02T01:06:24.883983Z

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:7ce95b2d5c79d227172d3402a572ce92b31d8cded2d94cd91f52d5ded471b3d7

Observation d4bb5b9f-5757-45ed-9d5f-e9862af3f61a · outbound

This paper cites Fraser,On the free boundary variational problem for minimal disks, Comm.

Existence of free boundary minimal disks in convex regions Fraser,On the free boundary variational problem for minimal disks, Comm

Reference 7

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:b298c795d858e964d5dbd6fd964660a6bddb300aa227aa7cf8875d2e38b9a1fa

Observation ef74d9a4-6002-4115-b235-a0c9d8797c49 · outbound

This paper cites an unresolved cited work.

Existence of free boundary minimal disks in convex regions Unresolved cited work

Reference 8

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:4efbc146d9ef31cc04e36fd483adb7ccb2c373fd5684755a71eef6cb0eba43da

Observation 85badfc6-ba1e-4595-9e41-6326dea80e71 · outbound

This paper cites Reine Angew.

Existence of free boundary minimal disks in convex regions Reine Angew

Reference 9

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:6a354fbdbf2d71d35768b5f6311cf37e9d0392b56ac22d3b34913e9ff35035de

Observation 3ab900b8-2089-47f1-86c6-2cc620a8a711 · outbound

This paper cites Math.310(2021), no.

Existence of free boundary minimal disks in convex regions Math.310(2021), no

Reference 10

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:18b2249050ded3aa54882fab2790fd2c86f3e355cc2e6e8a4fd3218d069fbbcc

Observation 5baaa833-285d-4e03-9c92-afafedf80be3 · outbound

This paper cites J.168(2019), no.

Existence of free boundary minimal disks in convex regions J.168(2019), no

Reference 11

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:b247caeb6662557f234bdab7a6609ff0fdfc6e95ea3a6505984245446b0b4944

Observation 400009d4-2415-46c6-8007-6eeb92ee3dd5 · outbound

This paper cites Reine Angew.

Existence of free boundary minimal disks in convex regions Reine Angew

Reference 12

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:6e87b3580e95047728cb5d6487ba5542ddd9977cb9388814f6938911093e3ed9

Observation 431ca0c0-fe62-4b0f-a500-b805a70c7468 · outbound

This paper cites Hatcher,Algebraic topology, Cambridge University Press, Cambridge, 2002.

Existence of free boundary minimal disks in convex regions Hatcher,Algebraic topology, Cambridge University Press, Cambridge, 2002

Reference 13

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:e9aa664ce9e13295e985caac1c87415eb0a60bd38ed2bd2ed30ef8729a4618fb

Observation 0e8f1553-5afd-45ba-af75-2d305897b19d · outbound

This paper cites Marques, and Andr´ e Neves,The catenoid estimate and its geometric applica- tions, J.

Existence of free boundary minimal disks in convex regions Marques, and Andr´ e Neves,The catenoid estimate and its geometric applica- tions, J

Reference 14

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:d7b350285cc3410f36da0ffad36b16285e7ee079c7ff51fd1890f6a3f9f633c5

Observation b6d13abb-c99f-4cec-9bef-8a4b40e3e2ca · outbound

This paper cites Math.352(2019), 326–371.

Existence of free boundary minimal disks in convex regions Math.352(2019), 326–371

Reference 15

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:2a1d37e9d56a040f471781404a2030d0600dcbbf1cf88a24bc8c0d3b3a4d60ae

Observation b2e5315e-1e31-48eb-9658-28934c530cde · outbound

This paper cites Pure Appl.

Existence of free boundary minimal disks in convex regions Pure Appl

Reference 16

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:dffe9c2d37af7985089e8ca9eccfce11657b595e49e470faa17d666137a31357

Observation 3a240781-a934-490e-a909-29466b7e7824 · outbound

This paper cites Differential Geom.118(2021), no.

Existence of free boundary minimal disks in convex regions Differential Geom.118(2021), no

Reference 17

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:763f7c013424294b195e74391e890ba55a47998d2e92dd274719726eb2c858ae

Observation cf92e9fe-2149-44e4-9a61-685db3cf1217 · outbound

This paper cites Topol.24(2020), no.

Existence of free boundary minimal disks in convex regions Topol.24(2020), no

Reference 18

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:2d51a09e1f82df7f57d6ae247cc521ae622f97a8c0bf8a5c2cf193b4d09944aa

Observation 78bea1eb-8525-4155-bc2b-42ea52c85d9b · outbound

This paper cites Marques and Andr´ e Neves,Morse index and multiplicity of min-max minimal hypersurfaces, Camb.

Existence of free boundary minimal disks in convex regions Marques and Andr´ e Neves,Morse index and multiplicity of min-max minimal hypersurfaces, Camb

Reference 19

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:d4b02e8889e0ea82a281d3fde207637dfb76720e378c7dcc632e917f59f71239

Observation 9bc32c8e-deee-44ca-bd3a-924b6addd1f6 · outbound

This paper cites Math.209 (2017), no.

Existence of free boundary minimal disks in convex regions Math.209 (2017), no

Reference 20

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:52d57ca2940444f2fdf296f89fb943ca5f4e1c4200a7a47c7b4917696b8f5014

Observation 52c2e361-7c41-4eed-b093-88d212359802 · outbound

This paper cites Pitts,Existence and regularity of minimal surfaces on Riemannian manifolds, Mathematical Notes, vol.

Existence of free boundary minimal disks in convex regions Pitts,Existence and regularity of minimal surfaces on Riemannian manifolds, Mathematical Notes, vol

Reference 21

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:f36d4a0f0833452c33eb282a53722363d97a9f305986c335a7d685ad4ba9456d

Observation 818a5355-1ac0-4707-aed2-40ce7d0f7da4 · outbound

This paper cites Uhlenbeck,The existence of minimal immersions of2-spheres, Ann.

Existence of free boundary minimal disks in convex regions Uhlenbeck,The existence of minimal immersions of2-spheres, Ann

Reference 22

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:aec83e17714d1fafb3127b41405714d6a7dbe0ff61a0de1787e7666cc27f8048

Observation f13120e7-f324-40e8-8c8f-2663fc2a2b88 · outbound

This paper cites an unresolved cited work.

Existence of free boundary minimal disks in convex regions Unresolved cited work

Reference 23

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:0cb71382dc0ee30b69ee53629c1b4ff030a3b6b280c520371bcf3aa00de86300

Observation 0a2de9b1-cfe3-45b5-afe4-54899aa7f3eb · outbound

This paper cites Pure Appl.

Existence of free boundary minimal disks in convex regions Pure Appl

Reference 24

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:62c2f9ace961f279fdc74254133d3000909336275a05c15821b12e45f0bd6bee

Observation 1b106247-0f6f-4fe6-a99f-4d70f223da3d · outbound

This paper cites Differential Geom.106(2017), no.

Existence of free boundary minimal disks in convex regions Differential Geom.106(2017), no

Reference 25

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:4ef01c365bb72ea707b554325dc94bfbd10b3edc93615c5a89c209906335d0c0

Observation 57332666-c576-414b-a555-7a88cfada7c2 · outbound

This paper cites 3, Australian National University, Centre for Mathematical Analysis, Canberra, 1983.

Existence of free boundary minimal disks in convex regions 3, Australian National University, Centre for Mathematical Analysis, Canberra, 1983

Reference 26

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:ea15ed99fadc1f6178d3f7241e276f9a3d89687f6a7e406bfdde8b16cdd1e2d1

Observation b58aab04-c2a7-4603-b69e-d5d5ebb6c3f1 · outbound

This paper cites Smith,On the existence of embedded minimal 2-spheres in the 3-sphere, endowed with an arbitrary Riemannian metric, Ph.D.

Existence of free boundary minimal disks in convex regions Smith,On the existence of embedded minimal 2-spheres in the 3-sphere, endowed with an arbitrary Riemannian metric, Ph.D

Reference 27

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:f546f2702bf82e60934d92f462948f4668ad87029885b1024ead92f9e52669b6

Observation e6b57d4a-38aa-4544-b26f-78d4c5e4734a · outbound

This paper cites an unresolved cited work.

Existence of free boundary minimal disks in convex regions Unresolved cited work

Reference 28

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:d0cd554f8336d6dc4c8a687602f0acf9c73b2b0b3470955702f841894ffc6a46

Observation 8363b77c-d1a4-48e1-929b-b598a410e1c9 · outbound

This paper cites Math.75(1984), no.

Existence of free boundary minimal disks in convex regions Math.75(1984), no

Reference 29

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:a3eb57c8d1625e1324fa0bee8fbc218a137350912dd69e9bbd9f064b5b98f43e

Observation a3507b77-328a-4fb9-a70b-1841249c0d6c · outbound

This paper cites an unresolved cited work.

Existence of free boundary minimal disks in convex regions Unresolved cited work

Reference 30

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:700f0c393717879a308c19f3d5e331fc383bf22185b8370289b099b9d78e3a1a

Observation 9db6416c-f1a8-4744-9821-b0b4e5969860 · outbound

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

Existence of free boundary minimal disks in convex regions Compactness and generic finiteness for free boundary minimal hypersurfaces (II)

Reference 31

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:6e883b067e1178e3e2f78eda7425b9f8c232cda08a170382986a7ccebf80ca43

Observation ce15c843-5f9c-4394-aae8-ed141b3796c3 · outbound

This paper cites Differential Geom.126(2024), no.

Existence of free boundary minimal disks in convex regions Differential Geom.126(2024), no

Reference 32

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Observation 85d1f20b-88e0-41e0-93ff-86157775ed96 · outbound

This paper cites Existence of four minimal spheres in $S^3$ with a bumpy metric.

Existence of free boundary minimal disks in convex regions Existence of four minimal spheres in $S^3$ with a bumpy metric

Reference 33

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arxiv_id, observed 2026-07-02T01:06:24.885032Z

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Observation 8868b920-ac11-47dd-8994-fc8e4736568a · outbound

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Existence of free boundary minimal disks in convex regions Unresolved cited work

Reference 34

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doi, observed 2026-06-28T12:42:09.123269Z

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Observation 38983628-abf6-4c71-8f54-889c522f35c4 · outbound

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Existence of free boundary minimal disks in convex regions Unresolved cited work

Reference 35

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Observation c76eedd0-d653-4e8c-b4ee-e553e75f1393 · outbound

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Existence of free boundary minimal disks in convex regions Unresolved cited work

Reference 36

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:7df660096a4052134798dcacf60097414147d737ef45c04a1a21ea2f09c7b753

Observation a0c0ebea-281d-43ad-9ea2-68da377ae7d5 · outbound

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Existence of free boundary minimal disks in convex regions Unresolved cited work

Reference 37

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:cdc94b938a75d59f85d9c254003c3636b9fa2b28aafa8ef22302835a3ecba858

Observation d1fc8020-796d-4abc-b6e6-c828eaa1c7a3 · outbound

This paper cites Differential Geom.

Existence of free boundary minimal disks in convex regions Differential Geom

Reference 38

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Observation ee1fd0fb-6391-4e89-8b24-b2f8b56fee91 · outbound

This paper cites an unresolved cited work.

Existence of free boundary minimal disks in convex regions Unresolved cited work

Reference 39

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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:33bfaa1d09001095f0b998fc1be32a5eaec3af96903bd050c3810bca82fe5071

Pith citing papers

Observation 71de4622-ad42-461d-bc75-27cd095996ea · inbound

Free boundary flow through cylindrical singularities cites this paper.

Free boundary flow through cylindrical singularities Existence of free boundary minimal disks in convex regions

Reference 37

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local_arxiv, observed 2026-07-03T19:18:54.770128Z

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source=pdf_text observed=2026-06-27T01:57:01.968206Z digest=sha256:085f8008062fa9da89e1f0974c3583bc446733b367e20e5d1f908bdd5424feae