Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-30T22:00:01.491441Z
Paper Citation Record · LEDGER
A min-max gap characterization of minimal foliations on the torus
As of 6 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2605.12428.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+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
Reference resolution
47 of 47 outbound references displayed
- verified exact1
- verified fuzzy46
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 6198695d-599b-4915-a23e-0bb3dc861314 · outbound
This paper cites Thin Riemannian mani- folds with boundary.
A min-max gap characterization of minimal foliations on the torus Thin Riemannian mani- folds with boundary
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.583520Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation e5ef99b1-c737-46e7-aa63-831d088db325 · outbound
This paper cites Mimeographed Notes.
A min-max gap characterization of minimal foliations on the torus Mimeographed Notes
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.590430Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 73bd2c91-c3ae-4c52-9268-605176cb36b9 · outbound
This paper cites The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states.
A min-max gap characterization of minimal foliations on the torus The discrete Frenkel-Kontorova model and its extensions: I. Exact results for the ground-states
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.562450Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 1d8e4637-4e6f-4256-bbc4-ca2a1cf7481c · outbound
This paper cites Differentiability of the Stable Norm in Codimension One.
A min-max gap characterization of minimal foliations on the torus Differentiability of the Stable Norm in Codimension One
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.560641Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ec1d81df-937f-47f1-96ce-3c4fa06621b3 · outbound
This paper cites Minimising currents and the stable norm in codimension one.
A min-max gap characterization of minimal foliations on the torus Minimising currents and the stable norm in codimension one
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.553726Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation b15a3234-2a32-4e4c-9e8d-267085593d54 · outbound
This paper cites Minimale Hyperflächen im Riemannschenn-Torus.
A min-max gap characterization of minimal foliations on the torus Minimale Hyperflächen im Riemannschenn-Torus
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.556172Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 409f1fbf-e9d6-4e69-b7ae-5ccf883c85bb · outbound
This paper cites A uniqueness theorem for Zn-periodic variational prob- lems.
A min-max gap characterization of minimal foliations on the torus A uniqueness theorem for Zn-periodic variational prob- lems
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.558727Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 6d4d4295-70ef-4ed2-ad15-524e4a32e33c · outbound
This paper cites Mather sets for twist maps and geodesics on tori.
A min-max gap characterization of minimal foliations on the torus Mather sets for twist maps and geodesics on tori
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.564281Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 04dfaf01-7322-4244-bc17-ca869273c5d4 · outbound
This paper cites Minimal Foliations and Laminations.
A min-max gap characterization of minimal foliations on the torus Minimal Foliations and Laminations
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.565899Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 67715d0f-c415-40b0-83a1-efdf7bf8e723 · outbound
This paper cites On minimal laminations of the torus.
A min-max gap characterization of minimal foliations on the torus On minimal laminations of the torus
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.550363Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d4a65e6b-b282-469c-94b9-83af6de122fc · outbound
This paper cites The existence of gaps in minimal foliations.
A min-max gap characterization of minimal foliations on the torus The existence of gaps in minimal foliations
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.552025Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation b3f8fc2c-6f4a-4c4c-828b-a3e137f5d6bd · outbound
This paper cites Planelike minimizers in pe- riodic media.
A min-max gap characterization of minimal foliations on the torus Planelike minimizers in pe- riodic media
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.524513Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation a4672aa6-83bf-4d5d-a2a1-93f3c3e94ee3 · outbound
This paper cites Min-max embedded geo- desic lines in asymptotically conical surfaces.
A min-max gap characterization of minimal foliations on the torus Min-max embedded geo- desic lines in asymptotically conical surfaces
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.527947Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 926087d0-b54b-4211-a1ec-87c6773d1663 · outbound
This paper cites Existence of minimal hypersurfaces in complete manifolds of finite volume.
A min-max gap characterization of minimal foliations on the torus Existence of minimal hypersurfaces in complete manifolds of finite volume
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.545473Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 19a588d2-b6de-4f5b-9f06-e05d03d9afd0 · outbound
This paper cites Consequencesofcontractiblegeodesics onsurfaces.
A min-max gap characterization of minimal foliations on the torus Consequencesofcontractiblegeodesics onsurfaces
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.547116Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ea75c8c8-c275-49e2-a137-73886917cf68 · outbound
This paper cites Normal and integral currents.
A min-max gap characterization of minimal foliations on the torus Normal and integral currents
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.588822Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation e4fd1f55-84f9-44e7-883b-7adfd500fa13 · outbound
This paper cites Minimal geodesic foliation on T 2 in case of vanishing topological entropy.
A min-max gap characterization of minimal foliations on the torus Minimal geodesic foliation on T 2 in case of vanishing topological entropy
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.519497Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 4e1de162-03ff-4d67-bd70-a3dc0e77225b · outbound
This paper cites Minimizing Hypersurfaces and Differentia- bility Properties of the Stable Norm.
A min-max gap characterization of minimal foliations on the torus Minimizing Hypersurfaces and Differentia- bility Properties of the Stable Norm
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.516100Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 5081aa49-19fd-4e53-a001-3c4ac91acc0c · outbound
This paper cites SurfacesMinimizingAreainTheirHomologyClassandGroup Actions on 3-Manifolds.
A min-max gap characterization of minimal foliations on the torus SurfacesMinimizingAreainTheirHomologyClassandGroup Actions on 3-Manifolds
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.540296Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 6c4acf12-9a81-4015-bbf2-33377b3d3688 · outbound
This paper cites Existence of unstable minimal surfaces in manifolds with homology and applications to triply periodic minimal surfaces.
A min-max gap characterization of minimal foliations on the torus Existence of unstable minimal surfaces in manifolds with homology and applications to triply periodic minimal surfaces
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.510478Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 6ad76005-1d82-46d2-b7e5-8208a34dd2da · outbound
This paper cites Springer.
A min-max gap characterization of minimal foliations on the torus Springer
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.508240Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 8eb3ef03-bb59-49a7-9712-aef3f63c30f0 · outbound
This paper cites Canberra: Australian National University Centre for Mathematical Analysis.
A min-max gap characterization of minimal foliations on the torus Canberra: Australian National University Centre for Mathematical Analysis
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.514333Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 1632078f-642a-4ae8-be55-b75652497569 · outbound
This paper cites Multiplicity results for inter- faces of Ginzburg-Landau-Allen-Cahn equations in periodic media.
A min-max gap characterization of minimal foliations on the torus Multiplicity results for inter- faces of Ginzburg-Landau-Allen-Cahn equations in periodic media
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.587105Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f4bcb2da-e6b7-4168-9a21-565bbf4d275e · outbound
This paper cites Morse in- equalities for the area functional.
A min-max gap characterization of minimal foliations on the torus Morse in- equalities for the area functional
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.503910Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 3b861fb6-398b-4bc3-bf31-ab83c516f379 · outbound
This paper cites Marques and André Neves.Applications of Almgren-Pitts Min-max theory.
A min-max gap characterization of minimal foliations on the torus Marques and André Neves.Applications of Almgren-Pitts Min-max theory
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.512656Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 5f715d82-218b-47df-959a-b1f8e983ff6e · outbound
This paper cites Min-Max theory and the Will- more conjecture.
A min-max gap characterization of minimal foliations on the torus Min-Max theory and the Will- more conjecture
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.502147Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0f381430-91fe-4306-90ab-4753c765349f · outbound
This paper cites Morse index and multiplicity of min-max minimal hypersurfaces.
A min-max gap characterization of minimal foliations on the torus Morse index and multiplicity of min-max minimal hypersurfaces
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.581769Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation d8a920a5-8adc-49bc-b586-cecfa5c78895 · outbound
This paper cites Morse index of multiplicity one min-max minimal hypersurfaces.
A min-max gap characterization of minimal foliations on the torus Morse index of multiplicity one min-max minimal hypersurfaces
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.548799Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f72e7604-f808-42b9-89b7-3bef3bf26928 · outbound
This paper cites Rigidity of min-max minimal spheres in three-manifolds.
A min-max gap characterization of minimal foliations on the torus Rigidity of min-max minimal spheres in three-manifolds
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.578140Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 30176a87-8aa8-4064-9744-a7677ec637d9 · outbound
This paper cites Equidistribution of minimal hypersurfaces for generic metrics.
A min-max gap characterization of minimal foliations on the torus Equidistribution of minimal hypersurfaces for generic metrics
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.543720Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 52a94978-dbfc-43da-9663-4c1b3b776dff · outbound
This paper cites A criterion for the non-existence of invariant circles.
A min-max gap characterization of minimal foliations on the torus A criterion for the non-existence of invariant circles
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.522778Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 9c0eab53-4a07-4c8e-9189-2830ff68c127 · outbound
This paper cites Modulus of Continuity for Peierls’s Barrier.
A min-max gap characterization of minimal foliations on the torus Modulus of Continuity for Peierls’s Barrier
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.529783Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 067b4f16-7b71-4637-a6d7-34acf7866724 · outbound
This paper cites A mountain pass theorem for minimal hypersurfaces with fixed boundary.
A min-max gap characterization of minimal foliations on the torus A mountain pass theorem for minimal hypersurfaces with fixed boundary
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.585327Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 714a964b-302f-46d7-8be6-c554275da1b0 · outbound
This paper cites A stability theorem for minimal foliations on a torus.
A min-max gap characterization of minimal foliations on the torus A stability theorem for minimal foliations on a torus
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.580004Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 59487af2-7119-4239-863c-22589be6b8d5 · outbound
This paper cites Minimal solutions of variational problems on a torus.
A min-max gap characterization of minimal foliations on the torus Minimal solutions of variational problems on a torus
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.592209Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation fd6e5d86-4660-4dec-a080-86bc43a1adcb · outbound
This paper cites Mathematical Notes.
A min-max gap characterization of minimal foliations on the torus Mathematical Notes
Reference 36
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.517779Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 8622c79f-5701-4e26-b5b9-4b9818eea039 · outbound
This paper cites The spaces of index one minimal sur- faces and stable constant mean curvature surfaces embedded in flat three manifolds.
A min-max gap characterization of minimal foliations on the torus The spaces of index one minimal sur- faces and stable constant mean curvature surfaces embedded in flat three manifolds
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.505782Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 1743ee39-99bb-4c3d-8e62-e4c696884ad9 · outbound
This paper cites Schwarz’ P and D surfaces are stable.
A min-max gap characterization of minimal foliations on the torus Schwarz’ P and D surfaces are stable
Reference 38
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.521125Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation ed052075-1d42-41b5-9487-6a5dbf4aded5 · outbound
This paper cites Estimatesforstableminimalsurfacesinthree-dimensional manifolds.
A min-max gap characterization of minimal foliations on the torus Estimatesforstableminimalsurfacesinthree-dimensional manifolds
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.593889Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 0c6e5ca9-86b2-4a1b-a81a-aab0b823688c · outbound
This paper cites Compactnessofminimalhypersurfaceswithboundedindex.
A min-max gap characterization of minimal foliations on the torus Compactnessofminimalhypersurfaceswithboundedindex
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.535066Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation fc4fded8-4d0c-4020-8796-77b76e82f24f · outbound
This paper cites A strict maximum principle for area-minimizing hypersur- faces.
A min-max gap characterization of minimal foliations on the torus A strict maximum principle for area-minimizing hypersur- faces
Reference 41
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.536865Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 56efd228-ae63-480f-86ea-69ea701d9fa4 · outbound
This paper cites On foliations ofRn+1 by minimal hypersurfaces.
A min-max gap characterization of minimal foliations on the torus On foliations ofRn+1 by minimal hypersurfaces
Reference 42
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.533194Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 98390427-0f11-48f9-88fa-4e457e825ec2 · outbound
This paper cites Adichotomyforminimalhypersurfacesinmanifoldsthick at infinity.
A min-max gap characterization of minimal foliations on the torus Adichotomyforminimalhypersurfacesinmanifoldsthick at infinity
Reference 43
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.531455Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation f8831da8-a970-4487-b5eb-bf5985c36695 · outbound
This paper cites Local min-max surfaces and strongly irreducible minimal Heegaard splittings.
A min-max gap characterization of minimal foliations on the torus Local min-max surfaces and strongly irreducible minimal Heegaard splittings
Reference 44
- Resolution
- verified exact
- arxiv_id, observed 2026-06-30T22:05:05.874825Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 9c80b38e-65a5-4ad9-bba1-e30038499216 · outbound
This paper cites A homological characterization of foliations consisting of minimal surfaces.
A min-max gap characterization of minimal foliations on the torus A homological characterization of foliations consisting of minimal surfaces
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.538620Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 4cfa1d8a-e5e9-42a4-b185-69f2dacb5185 · outbound
This paper cites On the bumpy metrics theorem for minimal submanifolds.
A min-max gap characterization of minimal foliations on the torus On the bumpy metrics theorem for minimal submanifolds
Reference 46
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.542069Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Observation 90f3ce4e-375e-416c-be83-50b8747c9bd4 · outbound
This paper cites Meeks.Lectures on Plateau’s problem.
A min-max gap characterization of minimal foliations on the torus Meeks.Lectures on Plateau’s problem
Reference 47
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-07-07T15:13:54.526254Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.
Pith citing papers
No inbound Pith citation observations are available.