Pith. sign in

Paper Citation Record · LEDGER

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$

As of 8 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2502.10225.

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

pith.paper-citation-record.v1
2502.10225 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T19:02:22.470859Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

31 of 31 outbound references displayed

  • verified exact0
  • verified fuzzy24
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 04c75702-c89d-457d-b1bc-bf4878a2b17b · outbound

This paper cites Conway, Heidi Burgiel, and Chaim Goodman-Strauss.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Conway, Heidi Burgiel, and Chaim Goodman-Strauss

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:23.046649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.330092Z digest=sha256:e4a4640ee3b23e0ad39a320ea9dc4fe3ad3589e3da8370f138b7e88cbe32983b

Observation 6934f0be-3f5e-43d2-a87c-3255285b5450 · outbound

This paper cites Minimal surfaces and alternating multiple zetas.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Minimal surfaces and alternating multiple zetas

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T19:02:22.335978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T19:02:22.335978Z digest=sha256:224c646d5c4702ead7492671d8bad1f44fdb1b6d7a0988525dce783d6eed985e

Observation 94eee7ee-eeac-40f5-9d51-17386169bbe7 · outbound

This paper cites Minicozzi, II.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Minicozzi, II

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:23.031414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.341178Z digest=sha256:6d1d0e65746b1078aebd39569804c37710fcfb5df4a1d39b033215707eeb71e5

Observation e8d41a2a-6a1f-4c3d-b30c-542ebedb9204 · outbound

This paper cites First eigenvalue of symmetric minimal surfaces in S^3.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ First eigenvalue of symmetric minimal surfaces in S^3

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:23.016289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.346120Z digest=sha256:5c18b2e50a847e16d58607ed42c6b54f52fef0a50d17135cbbf37d940597a905

Observation f797f909-0c5d-46f6-934a-92081dda59bd · outbound

This paper cites Genus one critical catenoid.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Genus one critical catenoid

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T19:02:22.353089Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T19:02:22.353089Z digest=sha256:10026b2b44c22dcaba72e37b01e1a58d5a94be10f20776f3161e0ea690d5dac7

Observation 652a3e97-9ace-41f8-98d9-3449e91f292b · outbound

This paper cites Free boundary minimal surfaces in the unit 3-ball.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Free boundary minimal surfaces in the unit 3-ball

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:23.001413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.358504Z digest=sha256:bded23b649bcfa0860090d466582c35a32231d6dc09099ec962fe0078a7d4d7a

Observation e0052fe3-a106-434e-8914-d3785d6df0e8 · outbound

This paper cites Sharp eigenvalue bounds and minimal surfaces in the ball.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Sharp eigenvalue bounds and minimal surfaces in the ball

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.986685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.363985Z digest=sha256:4d12a03b16a0abe340ebecf998717918e3cad167d21ea751bdd487493cdcf37e

Observation 8c54b6df-881c-4797-a5a1-293fdd0b4000 · outbound

This paper cites Topological control for min-max free boundary minimal surfaces.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Topological control for min-max free boundary minimal surfaces

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T19:02:22.368717Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T19:02:22.368717Z digest=sha256:27d7af1b8ef3fdfffa85c5ea88f7c3d3f6b88a85907b7f777e927c2043d40b8b

Observation dfd0fd20-b6f1-4849-b4bb-7d36dd0e923f · outbound

This paper cites Area estimates for high genus L awson surfaces via DPW.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Area estimates for high genus L awson surfaces via DPW

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.971529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.373461Z digest=sha256:d2baa5ef6f5b0604d86c18afc8a59f65274f0158c37cbaa01b000c9de6b86e70

Observation f26da680-e43f-4389-96aa-6943c0b8aeaf · outbound

This paper cites Extremal metric for the first eigenvalue on a K lein bottle.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Extremal metric for the first eigenvalue on a K lein bottle

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.956498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.378173Z digest=sha256:f9209f25f0c36b0a887411ce1f6f287989016c052c1dea93ec0fb706525dc128

Observation d6b4992d-98f1-4536-abf5-6c52786b3b52 · outbound

This paper cites Doubling and desingularization constructions for minimal surfaces.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Doubling and desingularization constructions for minimal surfaces

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.941158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.382859Z digest=sha256:c5e5bf3f0888079c4f847845ef7c6a8ff46209222aa9837d771a41961e1c82c7

Observation e461d56a-0f1c-4363-9e4f-77c1b32509d4 · outbound

This paper cites Minimal surfaces in the round three-sphere by doubling the equatorial two-sphere, I.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Minimal surfaces in the round three-sphere by doubling the equatorial two-sphere, I

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.926215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.387521Z digest=sha256:b21a57afdb1d64429c5df1dc55480318b63791f0c50cafef7bcf3709cc626674

Observation 28d603a1-b288-4e93-a249-08fde5de9a07 · outbound

This paper cites Index of minimal spheres and isoperimetric eigenvalue inequalities.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Index of minimal spheres and isoperimetric eigenvalue inequalities

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.911065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.392359Z digest=sha256:b634a29c66699ff862bc2d54803be74757cc10002e3aaa63f2ba2035ac64ce81

Observation eb3fb499-af3b-4b23-864d-733311fa0de5 · outbound

This paper cites Embedded minimal surfaces in $\mathbb{S}^3$ and $\mathbb{B}^3$ via equivariant eigenvalue optimization.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Embedded minimal surfaces in $\mathbb{S}^3$ and $\mathbb{B}^3$ via equivariant eigenvalue optimization

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-07T19:02:22.396868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T19:02:22.396868Z digest=sha256:649f4306f6893ccf8e696bfb12a52b8b6579abbb564bff902f6f6b662e7bf550

Observation e5921a2b-10dd-4296-b574-ba5b12e844cd · outbound

This paper cites Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disc.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Free boundary minimal surfaces in the unit three-ball via desingularization of the critical catenoid and the equatorial disc

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.896525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.401780Z digest=sha256:119032151a0effa7e4535ef70e98dead1e585cbcaa7c79e50b05ebc187ba0009

Observation 26fe3ada-cf1b-46ee-86be-8f1e8571bfde · outbound

This paper cites Minimal surfaces in the round three-sphere by doubling the equatorial two-sphere, II.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Minimal surfaces in the round three-sphere by doubling the equatorial two-sphere, II

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.882651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.406482Z digest=sha256:04a545eddbd1dd3dddaac96ce85dda64575d4159ff2e39ce8f3bb1beaa9bd27c

Observation 8412c570-a506-4f86-b815-5d0ec2d39093 · outbound

This paper cites Generalizing the linearized doubling approach, I : G eneral theory and new minimal surfaces and self-shrinkers.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Generalizing the linearized doubling approach, I : G eneral theory and new minimal surfaces and self-shrinkers

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.868408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.410912Z digest=sha256:b2f4af69ffa48d52da2af83beef3f41c2da35abbdbd704fe36d0a7a9eef4d7a5

Observation 76c4c377-c63e-41c8-927f-314b8689f743 · outbound

This paper cites On S teklov eigenspaces for free boundary minimal surfaces in the unit ball.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ On S teklov eigenspaces for free boundary minimal surfaces in the unit ball

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.852884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.415668Z digest=sha256:df2f07b0c14d7b7a8985b09c44aa7499de19bace63fa2ae67e08054566439f9b

Observation 8ec10126-6549-4459-a073-d0b2bd2b8b9e · outbound

This paper cites Penskoi, and Iosif Polterovich.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Penskoi, and Iosif Polterovich

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.837171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.420169Z digest=sha256:c5876b36df479b8b547c3c006c1bee4aba9539ecb9e08f71531d3b505e07ff76

Observation 1f2a7aa9-6158-423a-af07-9c40a8081a6b · outbound

This paper cites Stability of isoperimetric inequalities for Laplace eigenvalues on surfaces.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Stability of isoperimetric inequalities for Laplace eigenvalues on surfaces

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-07T19:02:22.424723Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T19:02:22.424723Z digest=sha256:1eba9217e8f70e14929d46cb3c497ed0975e25a3bc945c1cd5fe2e1d591a2a64

Observation 49e74a0e-320c-4ff3-9989-48265172d927 · outbound

This paper cites Karcher, U.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Karcher, U

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.821891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.429758Z digest=sha256:c968c48a667d657303f7b85fdacfc8eb4178ce0129f8eb5d17536dffa0bb4576

Observation f8536dc9-1176-46b9-a4b4-e75f26c25a5e · outbound

This paper cites From S teklov to L aplace: free boundary minimal surfaces with many boundary components.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ From S teklov to L aplace: free boundary minimal surfaces with many boundary components

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.807097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.433716Z digest=sha256:f305a6f9be07b1afbe130cd29e4f2f520331c12a5930de653f31fbb2d8fa6711

Observation 2b5f4f77-9770-4967-a129-d6a657beea63 · outbound

This paper cites Comparison surfaces for the W illmore problem.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Comparison surfaces for the W illmore problem

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.791434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.437630Z digest=sha256:4705e6612508d8ec4ad12d7a9340b03bf97934a2132e1a1dbc21fd0c2a83c077

Observation 96943f3f-0e83-4a66-820f-f6a209768dee · outbound

This paper cites The L awson surfaces are determined by their symmetries and topology.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ The L awson surfaces are determined by their symmetries and topology

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.774217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.441543Z digest=sha256:4f292d0628f573af9c773278ca59d0fb8957e272e0a4929f5cd7d14307aa0446

Observation 2ee772a7-e32d-48d4-a363-b892899716a4 · outbound

This paper cites Blaine Lawson, Jr.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Blaine Lawson, Jr

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.759012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.445407Z digest=sha256:6623125ef538e01a95358459037ee5d3bf07de56cd9aa1fe50920e16dc128161

Observation 30c8fbd9-c503-4de3-903b-e3af2ace0a8a · outbound

This paper cites Minimal immersions of surfaces by the first eigenfunctions and conformal area.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Minimal immersions of surfaces by the first eigenfunctions and conformal area

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.743689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.449452Z digest=sha256:eb54526c40e2aa7739f0ae758e55e100307bc850b93c42dc4880982f3eb839b8

Observation 2a86aff6-5a8f-44bc-b563-8fdd011f1462 · outbound

This paper cites Nadirashvili.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Nadirashvili

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.727576Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.453527Z digest=sha256:924f93e9e1d9eb2c4a63a83e4745cf2c387d36c5ac01623cf4e7a9d006b18db1

Observation 8348424e-4b2d-4d18-98fc-b1198722ccc9 · outbound

This paper cites Metrics on a closed surface of genus two which maximize the first eigenvalue of the L aplacian.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Metrics on a closed surface of genus two which maximize the first eigenvalue of the L aplacian

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.712091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.457481Z digest=sha256:2e325ee078fc160a583c11f66904cfa8d1e326fb7824e43d35601e819d3bb1eb

Observation 501da0f7-69a9-4725-aa45-13605f817927 · outbound

This paper cites Osgood, R.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Osgood, R

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-07T19:02:22.461463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T19:02:22.461463Z digest=sha256:3e451888848b6e54e5b44ed89664d3a218c0e218939f4959035983e5a0c44078

Observation ab551697-faad-4f1e-8324-45b8165f5b74 · outbound

This paper cites Geometric spectral optimization on surfaces.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Geometric spectral optimization on surfaces

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-07T19:02:22.465949Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T19:02:22.465949Z digest=sha256:5737a8366eb23011f63495109c29b8e5ce73de58312658634164e2484f9abf22

Observation 68ad49b1-60e5-4ed4-ac72-eb248a4fd495 · outbound

This paper cites Problem section.

Large topology asymptotics for spectrally extremal minimal surfaces in $\mathbb{B}^3$ and $\mathbb{S}^3$ Problem section

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T19:02:22.685389Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.470859Z digest=sha256:b7d546467f9465793cb3ae192b1752e0d429a26b84d31a618fad32fad4b579da

Pith citing papers

No inbound Pith citation observations are available.