Paper Citation Record · LEDGER

First-eigenvalue maximization and inflation of maps

As of 8 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2506.05681.

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

pith.paper-citation-record.v1
2506.05681 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:26:18.975012Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

35 of 35 outbound references displayed

verified exact0
verified fuzzy31
unresolved4
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6555b74c-e20a-4476-b20f-b5b1c81d744e · outbound

This paper cites Bando and H.

First-eigenvalue maximization and inflation of maps Bando and H

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.409353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a08f4249-e88c-468c-9ddc-4f90b7e84836 · outbound

This paper cites Berger, Sur les premi` eres valeurs propres des vari´ et´ es riemanniennes, Compositio Math.26 (1973), 129-149.

First-eigenvalue maximization and inflation of maps Berger, Sur les premi` eres valeurs propres des vari´ et´ es riemanniennes, Compositio Math.26 (1973), 129-149

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.398088Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6214ff9b-c217-4c5c-9098-764fcaa8e381 · outbound

This paper cites Berger, P.

First-eigenvalue maximization and inflation of maps Berger, P

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.386944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8376ac75-3bb8-47d4-8c7c-7c576d4e2c40 · outbound

This paper cites Choe and M.

First-eigenvalue maximization and inflation of maps Choe and M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.375072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c7541c56-47e0-4b3c-b705-98c7acfb500c · outbound

This paper cites Cowling, O.

First-eigenvalue maximization and inflation of maps Cowling, O

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.363507Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d354ee73-e4b7-4633-afdf-53409b375d90 · outbound

This paper cites El Soufi and S.

First-eigenvalue maximization and inflation of maps El Soufi and S

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.351571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a0a8ea3c-0a6a-486c-a611-6d44e5f074d1 · outbound

This paper cites Fujiwara, Eigenvalues of Laplacians on a closed Riemannian manifold and its nets, Proc.

First-eigenvalue maximization and inflation of maps Fujiwara, Eigenvalues of Laplacians on a closed Riemannian manifold and its nets, Proc

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.340538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e37520de-9816-4fca-9c02-229491644f08 · outbound

This paper cites G¨ oring, C.

First-eigenvalue maximization and inflation of maps G¨ oring, C

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.329413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2c909029-1b1e-4a61-bf77-cd3bae19f192 · outbound

This paper cites G¨ oring, C.

First-eigenvalue maximization and inflation of maps G¨ oring, C

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.318105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c1fa0388-4ec2-4a48-b3e6-a463b5de85d3 · outbound

This paper cites Gomyou, S.

First-eigenvalue maximization and inflation of maps Gomyou, S

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.307084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8829f3a5-5d03-4932-849e-01d63c2249cf · outbound

This paper cites Gomyou, S.

First-eigenvalue maximization and inflation of maps Gomyou, S

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.295194Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 396112b0-7425-4986-80a5-1ecf2aed360d · outbound

This paper cites Greenleaf, The first eigenvalue of a sub-Laplacian on a pseudo-Hermitian manifold, Comm.

First-eigenvalue maximization and inflation of maps Greenleaf, The first eigenvalue of a sub-Laplacian on a pseudo-Hermitian manifold, Comm

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.281662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 67d430a8-e463-4b58-ae6d-185f380402a5 · outbound

This paper cites Hersch, Quatre propri´ et´ es isop´ erim´ etriques de membranes sph´ eriques homog´ enes, C.

First-eigenvalue maximization and inflation of maps Hersch, Quatre propri´ et´ es isop´ erim´ etriques de membranes sph´ eriques homog´ enes, C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.269111Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 74aef7ac-73ea-41a9-b320-35768f47196b · outbound

This paper cites Jakobson, M.

First-eigenvalue maximization and inflation of maps Jakobson, M

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.256626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b22aa908-7eba-4d52-9bf4-ee354c51af91 · outbound

This paper cites Karpukhin, D.

First-eigenvalue maximization and inflation of maps Karpukhin, D

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.245176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4afd2039-ceed-4721-857f-37677f18e053 · outbound

This paper cites Kato, Perturbation theory for linear operators, Second edition, Grundlehren der Mathematis- chen Wissenschaften, Band 132, Springer-Verlag, Berlin-New York, 1976.

First-eigenvalue maximization and inflation of maps Kato, Perturbation theory for linear operators, Second edition, Grundlehren der Mathematis- chen Wissenschaften, Band 132, Springer-Verlag, Berlin-New York, 1976

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.233856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 76855023-73ed-458f-b7b2-e132c631614e · outbound

This paper cites Kriegl and P.

First-eigenvalue maximization and inflation of maps Kriegl and P

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.221929Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f5e6ce30-3e1d-45c6-9287-44f780c5e498 · outbound

This paper cites an unresolved cited work.

First-eigenvalue maximization and inflation of maps Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:26:19.210222Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9b2c2549-e4f3-4a2d-b0d9-5e52c0816254 · outbound

This paper cites Matthiesen, A.

First-eigenvalue maximization and inflation of maps Matthiesen, A

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.198946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1fe26468-83a2-4127-8e3e-41d5d33c06ec · outbound

This paper cites Muto, The first eigenvalue of the Laplacian of an isoparametric minimal hypersurface in a unit sphere, Math.

First-eigenvalue maximization and inflation of maps Muto, The first eigenvalue of the Laplacian of an isoparametric minimal hypersurface in a unit sphere, Math

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.187443Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3bb9b3f0-1397-4851-86d4-f8d024825904 · outbound

This paper cites Nadirashvili, Berger’s isoperimetric problem and minimal immersions of surfaces, Geom.

First-eigenvalue maximization and inflation of maps Nadirashvili, Berger’s isoperimetric problem and minimal immersions of surfaces, Geom

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.175441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 974414ff-f02a-4dea-b639-254da13bad4e · outbound

This paper cites Nakajima and T.

First-eigenvalue maximization and inflation of maps Nakajima and T

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.163863Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1d8be61b-455f-43cb-8038-d60e844f0093 · outbound

This paper cites Nash, The imbedding problem for Riemannian manifolds, Ann.

First-eigenvalue maximization and inflation of maps Nash, The imbedding problem for Riemannian manifolds, Ann

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.150845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation fe3add4e-3398-4e2a-abc4-0f8675c647ee · outbound

This paper cites Nayatani and T.

First-eigenvalue maximization and inflation of maps Nayatani and T

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.138139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8de01400-5a78-4b39-bb32-44872725cb0b · outbound

This paper cites Petrides, Existence and regularity of maximal metrics for the first Laplace eigenvalue on surfaces, Geom.

First-eigenvalue maximization and inflation of maps Petrides, Existence and regularity of maximal metrics for the first Laplace eigenvalue on surfaces, Geom

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.125214Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7a68d18c-a6e8-447f-a634-8699331a2ca1 · outbound

This paper cites Rellich, St¨ orungstheorie der Spektralzerlegung V, Math.

First-eigenvalue maximization and inflation of maps Rellich, St¨ orungstheorie der Spektralzerlegung V, Math

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.112551Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 78159a0e-ad86-403e-bbc4-2e7a80d0f1cc · outbound

This paper cites Rellich, Perturbation theory of eigenvalue problems, Gordon and Breach Science Publishers, New York-London-Paris, 1969.

First-eigenvalue maximization and inflation of maps Rellich, Perturbation theory of eigenvalue problems, Gordon and Breach Science Publishers, New York-London-Paris, 1969

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.100866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 1d430531-293d-4541-9c26-db92d5b92f66 · outbound

This paper cites Ros, On the first eigenvalue of the Laplacian on compact surfaces of genus three, J.

First-eigenvalue maximization and inflation of maps Ros, On the first eigenvalue of the Laplacian on compact surfaces of genus three, J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.088989Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6f4eb36d-e262-44c2-b545-d444c00834c9 · outbound

This paper cites Stanton, Spectral invariants of CR manifolds, Michigan Math.

First-eigenvalue maximization and inflation of maps Stanton, Spectral invariants of CR manifolds, Michigan Math

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.076532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 19304df3-cfaf-4c80-ba5e-2aaccbf4d814 · outbound

This paper cites Takahashi, Minimal immersions of Riemannian manifolds, J.

First-eigenvalue maximization and inflation of maps Takahashi, Minimal immersions of Riemannian manifolds, J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.063392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d97dcc8c-7c6c-421d-a329-ca1fcf5d4c8e · outbound

This paper cites an unresolved cited work.

First-eigenvalue maximization and inflation of maps Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:26:19.051586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9f903c0e-b794-441e-a945-e11978e66107 · outbound

This paper cites Tang and W.

First-eigenvalue maximization and inflation of maps Tang and W

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.041009Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7255e55e-7b9a-4c53-a26e-79fe06614e76 · outbound

This paper cites Urakawa, On the least positive eigenvalue of the Laplacian for compact group manifolds, J.

First-eigenvalue maximization and inflation of maps Urakawa, On the least positive eigenvalue of the Laplacian for compact group manifolds, J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T10:26:19.030557Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation a1963195-b8b0-48a3-92f3-dfcd7071868e · outbound

This paper cites an unresolved cited work.

First-eigenvalue maximization and inflation of maps Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:26:19.019229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation bcfc9bcb-71a3-405e-af08-d43c0268a80e · outbound

This paper cites an unresolved cited work.

First-eigenvalue maximization and inflation of maps Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T10:26:19.008051Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

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