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 16 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.330092Z digest=sha256:452ddd7088a1a0ec47042e1614e33b20416f28ac585221d64fd5f4fd1f6e2b56

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=sha256:465b8d4e89a38f668abb1e2cbfdfb52941da08e6722cd5e52b576f62d803afca

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.341178Z digest=sha256:1f058a7b9688e348da639151540f44dd485c395380edea8926c410792b0de390

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.346120Z digest=sha256:68273dd97b556ce3c78d0437eb4f76a981291f573c7ceabf487d8efcbb25db9d

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:b77247faaf2646ed054a985d40503c1ddde8ddd8f56ae5490106ffc63810e074

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.358504Z digest=sha256:87321ab743916a14e43ec7b7c4a49f6350e343488926bfbbf39bd7884c446e99

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.363985Z digest=sha256:fe65042c55796069f07ccfaf940889d53fafd8f44f524f236ff026c5209d36bc

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=sha256:8def283fd7d1d134b37568d65ffed2e65dcfc7139b30b2c140100945ff594864

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.373461Z digest=sha256:ec5edee401c70886905ef549d5105f9f9aaf62a544ac0efff3ba68b3f2f7ed04

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.378173Z digest=sha256:596ebde2ae9e29a26ac6f01e94126fc38af0a9da00f5f09b096501ae807d722d

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.382859Z digest=sha256:6b6bd8e13c4e29a78c29ce048ce87ce000ab46627427ff44f4ec95e14a205f57

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.387521Z digest=sha256:b90b199b297c51da6979eb5732b8e0ea39a18da0d3d95aab4534292f87f98c54

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.392359Z digest=sha256:930a8220caf074e68877f8686d25bea0df095ddecce1d184c7a8efcfa06828dd

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=sha256:58863f96a1808bb41b9a58d61648eebe51e8a54e91dd0ec091b52a0ac3e017bf

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.401780Z digest=sha256:ee0f67fc38650f74bd89325017700eec001604d566d92d3089e95bcbc4f45916

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.406482Z digest=sha256:c819a2a409232823959c82cff591e2cd66778efe1283d04756e56a3943045cf1

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.410912Z digest=sha256:384cd35d47ee0d5daadd17f871c12f88288c16942a10c3c567c390c037a34ce7

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.415668Z digest=sha256:18d743456377eb4bc3660a35e5031433d8f81c1459502702a61d75687069d38d

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.420169Z digest=sha256:4e16df1cc392009e269c2629bc72ed9071bb165c8b3a9f61afefbcfebd7d5516

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:e12a2c7b9dd53b8220188c47169dbf51874cac444ae34cd5a09e1a5eca06a3ed

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.429758Z digest=sha256:0f8e7c12f16d929e23de140bbd41a24a40d3879c4c4f1d1ec6d9b51ec46afb31

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.433716Z digest=sha256:71631d851881e2f8b451043270ab06fb967bc88d365bf5d8f7e43bb748c3d366

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.437630Z digest=sha256:b4cf5ecc68dec0ffca78dcce6c2d721d3e4935fbec4850b9d6f25a6f9a35515e

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.441543Z digest=sha256:03d972a0968dad65653c63f5800291436b4c2225ed4a50c2734a5f601060def1

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.445407Z digest=sha256:e43187a166465e557870a75ab9ab1b75eb54a4207df15cfcc710215c5b58982e

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.449452Z digest=sha256:c21ead661521c4e3b06e6e97908b7a0ed0f39c50a1c8ce9db5799808626cfc3e

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.453527Z digest=sha256:19b4da71357f75ed6e6eff4426c005f27a66aba12a9c07c65561a557ca66a4a4

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.457481Z digest=sha256:3379d9e0571576b1584ebfd3e7a2a59a82f3e8cd5ebec8293e9973b77b1b38cc

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:e3b52c27d490393be80b8e02faa34e98386f8f6706c0cb5fd48e578f9b0861c7

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=sha256:795739e70660d2158c9b9244308f795af9a3a40aceaa5df6007b4c9c758c9e5e

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 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-07T19:02:22.470859Z digest=sha256:1f575863e7fbd43e034749131d911fee33b120f6312c69b3c50e0bebf5902f0c

Pith citing papers

No inbound Pith citation observations are available.