Paper Citation Record · LEDGER

Lower bounds for the low Steklov eigenvalues

As of 14 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2605.30254.

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

pith.paper-citation-record.v1
2605.30254 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T05:27:47.034437Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

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

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

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unresolved36
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External citation measurements

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Outbound references

Observation 32034826-99ef-4f8f-9294-ae5e9aecb7ee · outbound

This paper cites Tubular neighborhoods of totally geodesic hypersurfaces in hyperbolic manifolds.

Lower bounds for the low Steklov eigenvalues Tubular neighborhoods of totally geodesic hypersurfaces in hyperbolic manifolds

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2c96a51-5fde-4363-acb1-5d00b6987c3c · outbound

This paper cites Tubes and S teklov eigenvalues in negatively curved manifolds.

Lower bounds for the low Steklov eigenvalues Tubes and S teklov eigenvalues in negatively curved manifolds

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation e88c9386-ae32-4916-80de-1f2b3ff9dfb6 · outbound

This paper cites On C heeger's inequality 1 h 2 /4.

Lower bounds for the low Steklov eigenvalues On C heeger's inequality 1 h 2 /4

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation 83ebd9ad-30bf-4e2c-a8c6-fe69af5c5667 · outbound

This paper cites Geometry and spectra of compact R iemann surfaces , volume 106 of Progress in Mathematics.

Lower bounds for the low Steklov eigenvalues Geometry and spectra of compact R iemann surfaces , volume 106 of Progress in Mathematics

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation e7a9ecfb-50b9-4069-9f68-8480f51c7513 · outbound

This paper cites Colbois and J.

Lower bounds for the low Steklov eigenvalues Colbois and J

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation 296ecb3c-6564-42db-bb09-470b3d3760c6 · outbound

This paper cites Extremal eigenvalues of the L aplacian in a conformal class of metrics: the `conformal spectrum'.

Lower bounds for the low Steklov eigenvalues Extremal eigenvalues of the L aplacian in a conformal class of metrics: the `conformal spectrum'

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation df4a23ea-dde6-46e4-b96f-ca073a535cce · outbound

This paper cites Compact manifolds with fixed boundary and large S teklov eigenvalues.

Lower bounds for the low Steklov eigenvalues Compact manifolds with fixed boundary and large S teklov eigenvalues

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation 36751a4b-7a71-496d-a5b7-4840ad3895e5 · outbound

This paper cites Some recent developments on the S teklov eigenvalue problem.

Lower bounds for the low Steklov eigenvalues Some recent developments on the S teklov eigenvalue problem

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation c160d63c-db46-419a-af6c-af115fa6e20d · outbound

This paper cites The S teklov and L aplacian spectra of R iemannian manifolds with boundary.

Lower bounds for the low Steklov eigenvalues The S teklov and L aplacian spectra of R iemannian manifolds with boundary

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation be7883b0-3f15-4a6a-a6d1-b65cae12b820 · outbound

This paper cites A lower bound for the smallest eigenvalue of the L aplacian.

Lower bounds for the low Steklov eigenvalues A lower bound for the smallest eigenvalue of the L aplacian

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation ab7bd517-59c5-40ec-bedb-992670623fd8 · outbound

This paper cites A lower bound for the first eigenvalue of a finite-volume negatively curved manifold.

Lower bounds for the low Steklov eigenvalues A lower bound for the first eigenvalue of a finite-volume negatively curved manifold

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation c78f92d1-94ca-40e3-b148-a99a927794e4 · outbound

This paper cites Estimating small eigenvalues of riemann surfaces.

Lower bounds for the low Steklov eigenvalues Estimating small eigenvalues of riemann surfaces

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation ab696686-426b-44b6-a5df-d8f858e9b323 · outbound

This paper cites Lower bounds for _1 on a finite-volume hyperbolic manifold.

Lower bounds for the low Steklov eigenvalues Lower bounds for _1 on a finite-volume hyperbolic manifold

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation 95de1ec9-722f-4b30-9aee-24b457ca2355 · outbound

This paper cites Eschenburg and E.

Lower bounds for the low Steklov eigenvalues Eschenburg and E

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation 293dab3a-300a-47f9-8577-102ec49c8a3c · outbound

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Lower bounds for the low Steklov eigenvalues Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation 9d7037ce-cc70-45a6-91ca-2bb690e9fef5 · outbound

This paper cites an unresolved cited work.

Lower bounds for the low Steklov eigenvalues Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation 887feab6-cb5f-4bf3-832f-c41cc3bd077d · outbound

This paper cites The D irichlet-to- N eumann map, the boundary L aplacian, and H \"ormander's rediscovered manuscript.

Lower bounds for the low Steklov eigenvalues The D irichlet-to- N eumann map, the boundary L aplacian, and H \"ormander's rediscovered manuscript

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation b4166a26-a4bf-43be-b464-237f2650d4ea · outbound

This paper cites Tubes , volume 221 of Progress in Mathematics.

Lower bounds for the low Steklov eigenvalues Tubes , volume 221 of Progress in Mathematics

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation 42dc6280-59ea-490e-975d-e554a91531c2 · outbound

This paper cites A general comparison theorem with applications to volume estimates for submanifolds.

Lower bounds for the low Steklov eigenvalues A general comparison theorem with applications to volume estimates for submanifolds

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation d4ed61a2-734e-4a0f-84df-8e04605873c7 · outbound

This paper cites Higher order C heeger inequalities for S teklov eigenvalues.

Lower bounds for the low Steklov eigenvalues Higher order C heeger inequalities for S teklov eigenvalues

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Unavailable: canonical work link unavailable.

Observation 5292ef9c-7015-419e-b4b1-e2f0f0e05e7a · outbound

This paper cites Geometric bounds for low S teklov eigenvalues of finite volume hyperbolic surfaces.

Lower bounds for the low Steklov eigenvalues Geometric bounds for low S teklov eigenvalues of finite volume hyperbolic surfaces

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Unavailable: canonical work link unavailable.

Observation 2c562724-d548-40e0-8fee-fee0610e1ddb · outbound

This paper cites A note on K uttler- S igillito's inequalities.

Lower bounds for the low Steklov eigenvalues A note on K uttler- S igillito's inequalities

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation 859d1cf3-c954-4a98-82cc-b421c1270468 · outbound

This paper cites Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary.

Lower bounds for the low Steklov eigenvalues Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary

Reference 23

Resolution: verified exact; arxiv_id, observed 2026-06-29T15:13:32.253086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 5419f28a-9848-4ccc-928d-3d35f1ff999b · outbound

This paper cites Une in\'egalit\'e de C heeger pour le spectre de S teklov.

Lower bounds for the low Steklov eigenvalues Une in\'egalit\'e de C heeger pour le spectre de S teklov

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation 0f048c7d-924a-42a4-8d31-5df7749a1ea1 · outbound

This paper cites Riemannian comparison constructions.

Lower bounds for the low Steklov eigenvalues Riemannian comparison constructions

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation 60bc1f36-aa56-4868-800f-63beab3662da · outbound

This paper cites an unresolved cited work.

Lower bounds for the low Steklov eigenvalues Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Unavailable: canonical work link unavailable.

Observation 801fa52d-ba1b-4989-b12f-8f22fcefebc4 · outbound

This paper cites Lieb and Michael Loss.

Lower bounds for the low Steklov eigenvalues Lieb and Michael Loss

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19369952-a80c-4730-ac35-dd9e5246e0cf · outbound

This paper cites Estimates of eigenvalues of a compact R iemannian manifold.

Lower bounds for the low Steklov eigenvalues Estimates of eigenvalues of a compact R iemannian manifold

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e2eb261-8abc-475b-8a92-1b0fb26d6422 · outbound

This paper cites Hardy's inequality with weights.

Lower bounds for the low Steklov eigenvalues Hardy's inequality with weights

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Unavailable: canonical work link unavailable.

Observation 8a94c003-e233-415e-bc4f-32e934416140 · outbound

This paper cites Estimates for low S teklov eigenvalues of surfaces with several boundary components.

Lower bounds for the low Steklov eigenvalues Estimates for low S teklov eigenvalues of surfaces with several boundary components

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation 3756420c-b883-4f89-a40a-b5673fa5b8f8 · outbound

This paper cites Pillai and Aaron Smith.

Lower bounds for the low Steklov eigenvalues Pillai and Aaron Smith

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Unavailable: canonical work link unavailable.

Observation a68e1340-508c-4a32-8aa2-506e352c42eb · outbound

This paper cites Provenzano and J.

Lower bounds for the low Steklov eigenvalues Provenzano and J

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Observation 92a19210-120a-4daa-8e71-2fb4568d1e20 · outbound

This paper cites A lower bound for the first eigenvalue of a negatively curved manifold.

Lower bounds for the low Steklov eigenvalues A lower bound for the first eigenvalue of a negatively curved manifold

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Unavailable: canonical work link unavailable.

Observation 15c61149-d3c7-4bcd-8005-636549646409 · outbound

This paper cites Geometric bounds on the low eigenvalues of a compact surface.

Lower bounds for the low Steklov eigenvalues Geometric bounds on the low eigenvalues of a compact surface

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Unavailable: canonical work link unavailable.

Observation d23083a8-87aa-422a-833a-b70a1069575a · outbound

This paper cites an unresolved cited work.

Lower bounds for the low Steklov eigenvalues Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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Unavailable: canonical work link unavailable.

Observation 21e0ea02-dc73-4f21-814f-2a956241bcd2 · outbound

This paper cites an unresolved cited work.

Lower bounds for the low Steklov eigenvalues Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6e357f9b-fd00-42aa-b809-4dc34543dc63 · outbound

This paper cites Escobar's conjecture on a sharp lower bound for the first nonzero S teklov eigenvalue.

Lower bounds for the low Steklov eigenvalues Escobar's conjecture on a sharp lower bound for the first nonzero S teklov eigenvalue

Reference 37

Resolution: unresolved; no resolver link, observed 2026-06-29T05:27:47.034437Z

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