Pith. sign in

Paper Citation Record · LEDGER

Eigenvalue optimization in higher dimensions and $p$-harmonic maps

As of 8 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 2 inbound Pith citation observations for arXiv:2601.17896.

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

pith.paper-citation-record.v1
2601.17896 v4

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T08:22:49.454829Z

measured 28 of 28 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-01T02:09:33.752296Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T12:25:43.365544Z

Reference resolution

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved26
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 56195887-4cfd-49de-9574-b896151b1438 · outbound

This paper cites More on convergence in unitary matrix spaces.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps More on convergence in unitary matrix spaces

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:46.734330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:46.734330Z digest=sha256:9ffea90c1ffe4d813c9f97a4d0b8fd734cdf1ed02bde2b20f7e4a205684db9a5

Observation 98c331d7-fd0c-408a-8f61-6284a1536f74 · outbound

This paper cites Extremal metrics for the eigenvalues of the Laplace- Beltrami operator on surfaces.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Extremal metrics for the eigenvalues of the Laplace- Beltrami operator on surfaces

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:48.593766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:48.593766Z digest=sha256:678b870aca1032fb118242bc98774f1d1568b9d25e213217be0ace8972ce2907

Observation 366be599-a2d7-433e-920d-3b7d8b69eb21 · outbound

This paper cites A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps A Series of Modern Surveys in Mathematics [Results in Mathematics and Related Areas

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:47.537127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:47.537127Z digest=sha256:a1a42442820c0a0dd6d20ccab2b63df7575a6b0b4dcd8e7b3d163a2d426b77d8

Observation 661c0bc3-e930-47f9-af3b-c58046f5739b · outbound

This paper cites Variational properties of the second eigenvalue of the conformal Laplacian.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Variational properties of the second eigenvalue of the conformal Laplacian

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:47.163217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:47.163217Z digest=sha256:3bc4047c14fc8e554b63f4d3e686406b231d582d9118c6b822d421c6188b73cc

Observation 2051ef44-3bbd-4b34-9b88-def6d1a8c5a1 · outbound

This paper cites Chapter 1 - Basic Concepts in the Geometry of Banach Spaces.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Chapter 1 - Basic Concepts in the Geometry of Banach Spaces

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:47.707387Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:47.707387Z digest=sha256:34ebdc9291e62299573a3c428717ac02952638c32c2a2d29673059f3bf23f1d7

Observation 522e71c4-a6c2-420c-b221-95075e6c5cdc · outbound

This paper cites Index of minimal spheres and isoperimetric eigen- value inequalities.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Index of minimal spheres and isoperimetric eigen- value inequalities

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:47.823543Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:47.823543Z digest=sha256:7ffcc99fb1cd13f2c42828118c41241278486899e075d7ebf847509aa892987a

Observation 9db8d476-4bfd-40db-8dc7-dbd350ae353d · outbound

This paper cites Extremal metrics for the Paneitz operator on closed four-manifolds.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Extremal metrics for the Paneitz operator on closed four-manifolds

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:48.769991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:48.769991Z digest=sha256:29853679c16cb698c9130eed2433fbe8cd3160e8445c33280554d4f8f3f86d1f

Observation 7d964e1a-3912-49a7-ae75-3e691d4d6a5d · outbound

This paper cites Regularity of harmonic maps.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Regularity of harmonic maps

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:46.938314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:46.938314Z digest=sha256:8f3551cb3ead35f5408e43aedef210e5667f485de8cc131dbe2bc2b9c20bf3fa

Observation b9dccf23-c6dc-45bf-8c72-a9fbb4059ab4 · outbound

This paper cites Critical metrics of eigenvalue functionals via Clarke subdifferential.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Critical metrics of eigenvalue functionals via Clarke subdifferential

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:49.058900Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:49.058900Z digest=sha256:bd81aa8ce8ad4ea83d512ff47c9484d2cded0f299b27255fa11ab7eac6896984

Observation 1dd46faa-c002-464f-923d-c2a4f6a0f4e4 · outbound

This paper cites Nonexistence of minimizers for the second conformal eigenvalue near the round sphere in low dimensions.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Nonexistence of minimizers for the second conformal eigenvalue near the round sphere in low dimensions

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:49.127382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:49.127382Z digest=sha256:fce2d4ae98bccd63f0a806c9422159f96f22cb330668fb2610d5cab85cd7874e

Observation 72e56c98-d475-4a9d-b2ab-f99d540d9bee · outbound

This paper cites an unresolved cited work.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Unresolved cited work

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:48.006454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:48.006454Z digest=sha256:6938a23e47b688ee4c930d93bdf6e80e51257b52326d509d6ccb93fe87856690

Observation af21d398-79ae-4d99-b050-cf0bccd37274 · outbound

This paper cites Maximizing higher eigenvalues in dimensions three and above.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Maximizing higher eigenvalues in dimensions three and above

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:49.370384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:49.370384Z digest=sha256:3bd5a0f238a9c6bdff90ea4a1206259a959044d8df462cfb172c084e43a40eed

Observation 52a81129-c25c-46d5-af46-2bb88ac91031 · outbound

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

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Existence and regularity of maximal metrics for the first Laplace eigenvalue on surfaces

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:48.947363Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:48.947363Z digest=sha256:62a88522d49e3018444c5860396e5c28397a65477a73cd0004dd6a2babc9d42a

Observation 97eeb791-12d2-4de1-8640-4fcc91421d67 · outbound

This paper cites On the singular set of stable- stationary harmonic maps.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps On the singular set of stable- stationary harmonic maps

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:47.255183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:47.255183Z digest=sha256:af6db61c4447634edac9066003b8625ba3a74e48ffaa184ff85495a151069ee7

Observation 6c06e471-52bb-4b0b-a413-32b421105a79 · outbound

This paper cites Remarks on the regularity of the minimizers of certain degenerate functionals.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Remarks on the regularity of the minimizers of certain degenerate functionals

Reference 105

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:47.083399Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:47.083399Z digest=sha256:30b1c64098feb100aecfaaf7af72eccb8a2d0a540c194e6e2a139c0d55bf15b4

Observation 923d27cd-d438-40a4-82bc-85ef6db3f807 · outbound

This paper cites Third edition [of 1395148].

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Third edition [of 1395148]

Reference 115

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:49.220240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:49.220240Z digest=sha256:6898bab1bde44ab37a7a61578039c04b12c2f8faca2c0a6dcf4ff5e15ef8744a

Observation 1b0538fd-1dcc-4233-a769-de458ba98c96 · outbound

This paper cites Regularity for a class of non-linear elliptic systems.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Regularity for a class of non-linear elliptic systems

Reference 117

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:49.310879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:49.310879Z digest=sha256:a63db6d1fc99815623177f134628737f193c8512fe95d2146c0bc1543cb93c95

Observation 7f5c347d-d146-4a05-81aa-fb5b93783df1 · outbound

This paper cites Sobolev spaces and functions of bounded variation.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Sobolev spaces and functions of bounded variation

Reference 120

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:49.454829Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:49.454829Z digest=sha256:aeaf9e99129719336c806e8864c410f6a28eacfd4082120bcc2d6a7051504114

Observation 4cf58bdc-842a-430c-ab67-238eb908e645 · outbound

This paper cites Dirac eigenvalue optimisation and harmonic maps to complex projective spaces.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Dirac eigenvalue optimisation and harmonic maps to complex projective spaces

Reference 154

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:47.910941Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:47.910941Z digest=sha256:52d3d92d356feecdeb65f74507a5ccccaeb135ab63ec8dd1b6a040e3d5106509

Observation e346ab46-299b-4993-a71a-0cb2ffac8d2b · outbound

This paper cites On removable singularities of p-harmonic maps.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps On removable singularities of p-harmonic maps

Reference 176

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:47.022381Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:47.022381Z digest=sha256:5ab14798b4a1d404d3b246262ffc366b4839ec4db20bf545b981d2dd8744bc68

Observation 511be4f7-1f68-40f2-8121-07d69e5eb2f1 · outbound

This paper cites Maximization of higher order eigen- values and applications.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Maximization of higher order eigen- values and applications

Reference 182

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:48.444658Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:48.444658Z digest=sha256:416c94f89ddd75abcdeff400968520b3f7045393906b8d9e20c7d721a02adc9c

Observation 552c65f0-5f40-411a-9035-d2ceb4d00105 · outbound

This paper cites Upper bounds for eigenvalues of conformal metrics.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Upper bounds for eigenvalues of conformal metrics

Reference 239

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:48.365940Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:48.365940Z digest=sha256:d20fa94bcafe6e541ae7f65f4ad9ddad48c61014c587c28683bc858d1c1c949b

Observation e4695aeb-4b8c-40fc-b517-33a2250b92b0 · outbound

This paper cites Hardy spaces of vector-valued functions: duality.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Hardy spaces of vector-valued functions: duality

Reference 299

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:46.811047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:46.811047Z digest=sha256:98fc2bbee1aac9bfd371472fc00df5eb92848c2ff992521795237c644f75bf8a

Observation 60cf4695-7318-4c7a-bab0-32206c523d8f · outbound

This paper cites Variational aspects of Laplace eigenvalues on Rieman- nian surfaces.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Variational aspects of Laplace eigenvalues on Rieman- nian surfaces

Reference 993

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:48.238035Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:48.238035Z digest=sha256:ea1824e6744ee32996f930b3d1ca0b1753d39cae1c8591f624b1c25e798f8112

Observation c9c83e8f-2e96-4556-b625-b11148369f70 · outbound

This paper cites Existence of harmonic maps and eigenvalue optimization in higher dimensions.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Existence of harmonic maps and eigenvalue optimization in higher dimensions

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:48.122471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:48.122471Z digest=sha256:b702bd90d55056bd6c176ec0f9472a072b8a08afc1747b6c2ec894742b9d0f39

Observation 3b2297da-65d0-4a96-8ced-04432285b963 · outbound

This paper cites Extremising eigenvalues of the GJMS operators in a fixed conformal class.

Eigenvalue optimization in higher dimensions and $p$-harmonic maps Extremising eigenvalues of the GJMS operators in a fixed conformal class

Reference 2025

Resolution
unresolved
no resolver link, observed 2026-08-03T08:22:47.399158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T08:22:47.399158Z digest=sha256:99891db490c9c34fd1729d67ab5c1f7ea9aad061887b92081587b5ef633d5661

Pith citing papers

Observation 7bc24bb8-df7d-46a4-9042-ebc7720207df · inbound

Geometric bounds for Steklov and weighted Neumann eigenvalues on Euclidean domains cites this paper.

Geometric bounds for Steklov and weighted Neumann eigenvalues on Euclidean domains Eigenvalue optimization in higher dimensions and $p$-harmonic maps

Reference 12

Resolution
verified exact
arxiv_id, observed 2026-07-07T03:18:11.803709Z

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=pdf_text observed=2026-05-13T18:00:45.102307Z digest=sha256:1ddb9c70e5404358d1499652675a0ff42623bb30b0ed428472b4d69f4af012cf

Observation 8faa66a1-d190-41bc-88f2-17bd48c02dd0 · inbound

Eigenvalue optimization via a first-variation formula cites this paper.

Eigenvalue optimization via a first-variation formula Eigenvalue optimization in higher dimensions and $p$-harmonic maps

Reference 21

Resolution
verified exact
arxiv_id, observed 2026-07-07T03:18:11.803709Z

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=2026-07-01T02:09:33.752296Z digest=sha256:cd22f80e1f9068a8a02df98b7a2e539f047af81a4c600b7159d655c71eaea67a