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Paper Citation Record · LEDGER

Existence of free boundary minimal disks in convex regions

As of 5 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 2026-08-05T06:32:48.257954+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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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=sha256:56e505411524f7467bad59be86fb1a8e555c9dd81b653da2e6dcd935a0f0a9f4

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:ff8e0f3d6a8b121630a98b02525d8d5911b067d04251af75ebe9ba868832e9f0

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=sha256:3fbff39d46689a31b0a8afdb5891de3426e023b88f7809c9844f2f2bc69fd934

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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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=sha256:5a7bd3f191abd77b86caa72a69f52441d526d191f73dd5defaf9f09992a31127

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=sha256:0bedec8ee825173f89471df6773c1c18d76492b792cd3e4c04a48c25d696ed86

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:f19d5ab5b7402f813d0553c091f491e0b1012067fd341f2c4331320f4d7babe4

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=sha256:739befd0e03678d8ab0a1af067519f03b4be28d626b09d120690214894ce97b4

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=sha256:12586f0ac2a3e2d05fb97dc296e2dbc7a91a9fc88bc1d2b3b35d3fe624d1b6a3

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=sha256:8ddd87f0a8201dd5cc9b9edf03c018980edec7aee9848bc120f78258e3f00f74

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=sha256:900270c020e5961d5d05c210575b50b503d692a89e542c13db5d5a1bd4192750

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=sha256:9cdf79739717785e03bfc35c2d0e9403af345290dd85622a4cc1ba6f05a3cce0

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:db704d7e0f8299cfdf4adcedfccb17a64121fa2f96c6db9303d8215dba7098ba

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=sha256:5ebcc440de679a0296a93420b38228e735311989cc080f939c6dc791ad9d2ebe

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:fd7a9f123104a7734e1eb579a398c6d3710345da7f1587df07369e4cd497e2ab

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=sha256:1e008380a8fb8ef5ebb78066908f0386b28eaf66143e064bc092e0db9f3fb0d4

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=sha256:1fd21eeced497d134b5508db3ac5ab59daa3e8552d10ebdda8bb6f084c82e18f

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=sha256:3e18026b3d9043b814f92167eac896b328daa1db6f1bee2ca60537620a1359a8

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=sha256:55d6049e3d74edbe11ac4b5338db37b713af688cd13650145f4aecc936333c75

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:c5167290f92bb6ef33e06bb73c02f655919e6c72c121909d546606563d530318

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=sha256:2487bc939df6145c98ede1c8852b7070a3481525e65f2fe6a08420cb7ba43ee5

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:e40cda00565ce4f40dbcd64c7d1d980cec79e5201eda6b880c159cb9ed2298d2

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=sha256:837c0360e88440b0fc732af3a0a5136c48e72674ba17357736c15d522876da3c

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=sha256:81591033dd6902e97f1b934fe0151f9341b0ad709ce4e067e761008e676ba106

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=sha256:747b333e3f9b0a63e1c2090ede84ea0f64e7c11ad040d8c31b9438d007a47cf0

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:fb13e394d6796e7c5d5ee2f0c3d5c7eefc7bee2b6368c7a10a23c8bac4b8ca0a

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:a551fc2f0138d1f0902535afe3ab4c0498ed86f92226211d4c5e7413fffb6541

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

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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=sha256:5139cbc5a6740606e74a2165fe82f585a1f0cafc6de45a2b7ee0a2d123ecd209

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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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

This paper cites an unresolved cited work.

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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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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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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source=pdf_text observed=2026-06-28T12:33:21.705664Z digest=sha256:030af37a5354687e6faa6033be1b4f07e7de0c8223c5c3f19217e2d5c1e40c06

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:a66800b67d71cdce8b91e942672a35008f1705c09b1f78d6698d63a472c64687

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

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

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-27T01:57:01.968206Z digest=sha256:fbfac242c8c9170727448cfab20fba4dca84e108533d9ff179f70fc39a65e2e8