Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:41:49.833215Z
Paper Citation Record · LEDGER
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.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:41:49.833215Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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
52 of 52 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation d9cc6034-3589-481d-8aa4-dd2697b0f0f9 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Unresolved cited work
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bb6cb6d8-969a-4b93-bc31-476ca13687bb · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Ambrosio, A
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation aa5e62c3-df6e-4dbb-bc0b-8f7ca60160e6 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Ambrozio, R
Reference 3
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.
Observation 0d696201-eef7-4921-9c26-699d5e1060f1 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Ambrozio, A
Reference 4
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.
Observation 9d6c5597-23c1-4477-9dd0-be146f613c9a · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Unresolved cited work
Reference 5
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.
Observation 716c29a9-11cf-488d-8192-e30453fee317 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Calabi, Minimal immersions of surfaces in Euclidean spheres , J
Reference 6
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.
Observation b1d03e69-6779-46fc-ae45-472ebe44d25f · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Carlotto, Generic finiteness of minimal surfaces with bounded Morse in dex, Ann
Reference 7
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.
Observation 2fe3129b-2f33-4deb-8581-6a936f6081eb · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Carlotto, O
Reference 8
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.
Observation 176f89aa-90b8-46fb-a3b8-22686b4d0763 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Constrained deformations of positive scalar curvature metrics
Reference 9
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.
Observation 1be872fc-7968-430d-a741-0397206b8714 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Chodosh, D
Reference 10
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.
Observation aac15309-77a6-4ea4-a434-5771ce7afe9a · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Chodosh and D
Reference 11
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.
Observation dda22ed3-f634-4a6d-a763-f8a7b4e2dd60 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces On the topology and index of minimal surfaces II
Reference 12
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.
Observation 3b1d99aa-16d9-47f7-b7ae-2245eea58938 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Unresolved cited work
Reference 13
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.
Observation a8776393-9201-4c8e-8c49-9a9786cafa42 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Colding and C
Reference 14
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.
Observation 0dc43b01-6552-4d36-8db8-b224f2726bc0 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Unresolved cited work
Reference 15
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.
Observation 43944718-348f-4b56-88d1-81dfe5424c8c · outbound
Inequivalent complexity criteria for free boundary minimal surfaces 121, Amer
Reference 16
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.
Observation ded49451-82b2-46b5-8c5f-49de28cf6091 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Ejiri and M
Reference 17
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.
Observation a68fdf29-f9a2-493d-89c6-465535f37cbf · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Fischer-Colbrie, On complete minimal surfaces with finite Morse index in three -manifolds, Invent
Reference 18
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.
Observation bf097dc5-cbad-4642-9d04-d2d6d9f245e1 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Fischer-Colbrie and R
Reference 19
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.
Observation 3810f0d3-d3a2-4fc5-a07d-6405f6662374 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Fraser and M
Reference 20
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.
Observation 6da62404-d718-4f18-89f4-030fe80ac100 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Fraser and R
Reference 21
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.
Observation 98848327-522d-40f5-b5bb-cbc23b8a4b56 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Math., 5 99, Amer
Reference 22
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.
Observation d686c898-b7e1-4a62-9584-a20e961d85a8 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Unresolved cited work
Reference 23
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.
Observation a05f233c-595c-4b59-800a-f1f7355ea1e6 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Gromov and H
Reference 24
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.
Observation 96e53546-98ae-462a-a42e-edb147d73cc4 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 80f82b64-17fd-4d49-8f6b-c571e8a7b07f · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Guang, M
Reference 26
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.
Observation 7e89bfa3-acf8-4cf8-8f62-e58e5be55956 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Compactness and generic finiteness for free boundary minimal hypersurfaces (I)
Reference 27
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 649f0fb0-f021-49e2-82c2-960e54b46875 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Gulliver and H
Reference 28
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.
Observation a7368348-385e-487b-b7db-1b4bd05456ec · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Hartman, Geodesic parallel coordinates in the large , Amer
Reference 29
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.
Observation e12688f3-bfdc-425d-b282-d9f0ffb890ef · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Unresolved cited work
Reference 30
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.
Observation bf5f0d07-bd2c-47a1-96ab-858b49f9eee8 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Hsiang, Minimal cones and the spherical Bernstein problem
Reference 31
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 891a9456-ab97-49f1-900b-076bb478060f · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Unresolved cited work
Reference 32
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.
Observation 132dc2d6-cb83-4c5a-ad12-fff000e30b74 · outbound
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
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.
Observation 993c3efc-05fb-40e7-a09d-9e5fe09090c7 · outbound
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
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0d73166e-696c-499c-b8ac-78075adb8cd7 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Equivariant min-max theory
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fc9c4d9d-f5cc-48b6-b370-770ef51c97e4 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Free boundary minimal surfaces of unbounded genus
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f172e2b5-74c2-4adc-a7b9-8575a7b29476 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Free boundary minimal surfaces in the unit ball : recent advances and open questions
Reference 37
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b0bbdb57-e4cc-468b-94f1-f484dc98ad84 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Li and X
Reference 38
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.
Observation c593b5fc-f88e-4d94-9dd0-6650bca0ee99 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Bounds for the Morse index of free boundary minimal surfaces
Reference 39
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.
Observation 4f6383bd-8560-4ef1-9edf-251d629f07f8 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Unresolved cited work
Reference 40
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.
Observation cdc0742e-0ef3-4909-baf9-d6c0339396ba · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Miao, Positive mass theorem on manifolds admitting corners along a hypersurface, Adv
Reference 41
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.
Observation e93f18b5-8185-4d0c-a0a3-01c3e808e6ae · outbound
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
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.
Observation b4a3bd53-b9f0-4037-9508-781a6c906fa7 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Differential Geom
Reference 43
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.
Observation 8d85d887-fcb3-46d9-a3e0-4190078f9f75 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Schoen and L
Reference 44
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.
Observation 4b7c2169-8f2e-4acb-8c3d-fd028f2206bc · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Schoen and S.-T
Reference 45
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.
Observation e0fcbb28-55e9-4ebc-8e77-c67a654bc411 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Positive Scalar Curvature and Minimal Hypersurface Singularities
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation da6505c9-b638-489f-b57e-da0621eef05f · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Shiohama, T
Reference 47
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.
Observation 0b6efb26-ead1-4ff7-a6fe-e44265ea097b · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Volkmann, Free boundary problems governed by mean curvature , Ph.D
Reference 48
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.
Observation 89558d23-7392-46de-a68e-898eae8a0a13 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces White, Complete surfaces of finite total curvature , J
Reference 49
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.
Observation 8242744b-abed-46f8-9657-c18c3f56ae96 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Unresolved cited work
Reference 50
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.
Observation ddd7799a-4553-4407-ae79-4e71729ef0f0 · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Differential Geom
Reference 51
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.
Observation 01047623-20ae-42eb-8a91-51919c16328b · outbound
Inequivalent complexity criteria for free boundary minimal surfaces Ser., 22 , Amer
Reference 52
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.
No inbound Pith citation observations are available.