Paper Citation Record · LEDGER

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons

As of 13 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 1 inbound Pith citation observation for arXiv:2606.13448.

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

pith.paper-citation-record.v1
2606.13448 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-11T11:50:26.030339Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T00:40:04.857838Z

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 exact10
verified fuzzy0
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 49ccfad1-50f8-4165-95b6-3fe87bf6dd5d · outbound

This paper cites an unresolved cited work.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5101116c-deb6-4943-8f7b-027df80a1551 · outbound

This paper cites Berghaus, B.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Berghaus, B

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddd47270-78d3-4bb0-a471-202d53c3ac4f · outbound

This paper cites Bogosel and D.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Bogosel and D

Reference 3

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 604f16d5-955a-4a95-a267-9c5e352e4651 · outbound

This paper cites Borwein, J.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Borwein, J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6b4682b-bcab-4ec1-aa7b-870bcdcbada3 · outbound

This paper cites A variational method for second order shape derivatives.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons A variational method for second order shape derivatives

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-06-28T16:02:22.521422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 8d453f94-f57a-45ea-a506-4a84bd8ea520 · outbound

This paper cites Bucur and I.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Bucur and I

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 39a8f9fe-0658-4117-9cf1-8f44395205c2 · outbound

This paper cites Cheng, C.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Cheng, C

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-07-03T16:08:37.562433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 6ca9a9c7-60d0-412b-950b-b1766f1bde50 · outbound

This paper cites Dahne, J.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Dahne, J

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-07-03T16:08:37.559619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e101bada-a226-4ef1-a84b-3683d86c7817 · outbound

This paper cites an unresolved cited work.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 882d759e-b25b-46b7-b25b-ee2ffefa03b1 · outbound

This paper cites Torsional Rigidity and Bergman Analytic Content of Simply Connected Regions.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Torsional Rigidity and Bergman Analytic Content of Simply Connected Regions

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-07-03T16:08:37.556856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5c5eff24-ddce-4369-a2a9-52f0944f19a5 · outbound

This paper cites Fragal` a, F.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Fragal` a, F

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9c566bb5-5cdd-46e9-92a8-d180d8a1becc · outbound

This paper cites Grisvard,Elliptic Problems in Nonsmooth Domains, Monographs and Studies in Mathematics, Vol.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Grisvard,Elliptic Problems in Nonsmooth Domains, Monographs and Studies in Mathematics, Vol

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e7aa13b-e849-433e-b54f-8bf09a5cb0ba · outbound

This paper cites Hedenmalm, B.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Hedenmalm, B

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b65fafe-1ad4-4c3f-96dd-c5182d3d1160 · outbound

This paper cites Henrot,Extremum Problems for Eigenvalues of Elliptic Operators, Frontiers in Mathematics, Birkh¨ auser, Basel, 2006.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Henrot,Extremum Problems for Eigenvalues of Elliptic Operators, Frontiers in Mathematics, Birkh¨ auser, Basel, 2006

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb8f1311-cabd-4744-beca-b18787e8c0fc · outbound

This paper cites Henrot and M.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Henrot and M

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f324a43-44d7-438b-a8db-95a90c645271 · outbound

This paper cites Huang, Q.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Huang, Q

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-07-03T16:08:37.544136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 88eabfae-e6d9-4b0c-893a-f58d518a2358 · outbound

This paper cites Indrei,On the first eigenvalue of the Laplacian for polygons, Journal of Mathematical Physics 65(2024), 041506.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Indrei,On the first eigenvalue of the Laplacian for polygons, Journal of Mathematical Physics 65(2024), 041506

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de614154-231c-4083-b26b-ba9d2e43ca04 · outbound

This paper cites hot spots.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons hot spots

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 76bfc3c8-1737-440c-95ef-1f572575e7aa · outbound

This paper cites Torsional rigidity for tangential polygons.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Torsional rigidity for tangential polygons

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-07-03T16:08:37.549687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 75d3b2d5-e77f-4b14-aae3-2a55e3165d41 · outbound

This paper cites New Perspectives on Torsional Rigidity and Polynomial Approximations of z-bar.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons New Perspectives on Torsional Rigidity and Polynomial Approximations of z-bar

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-07-03T16:08:37.541398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 301afa52-8895-42cb-becd-6814a72b575c · outbound

This paper cites Li and R.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Li and R

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-07-03T16:08:37.564907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation af17ff24-60ce-4bb6-97b0-592616281f7b · outbound

This paper cites an unresolved cited work.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Unresolved cited work

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-07-03T16:08:37.567651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation a45a9c43-df12-4cbf-a026-4994768a6a67 · outbound

This paper cites Nehari,Conformal Mapping, McGraw–Hill, New York, 1952.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Nehari,Conformal Mapping, McGraw–Hill, New York, 1952

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c2e1697a-104b-4d5b-9e78-55f4380a36e4 · outbound

This paper cites On the first Dirichlet Laplacian eigenvalue of regular Polygons.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons On the first Dirichlet Laplacian eigenvalue of regular Polygons

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-07-03T16:08:37.546856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 3c216ffa-0b2a-48f1-9ef7-c065fb40935a · outbound

This paper cites P´ olya,Torsional rigidity, principal frequency, electrostatic capacity and symmetrization, Quar- terly of Applied Mathematics6(1948), 267–277.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons P´ olya,Torsional rigidity, principal frequency, electrostatic capacity and symmetrization, Quar- terly of Applied Mathematics6(1948), 267–277

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 801f5806-9f48-4fa7-ab3c-2626c179103e · outbound

This paper cites P´ olya and G.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons P´ olya and G

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2196fa6a-61af-40a7-8444-35e4f9ccbf9f · outbound

This paper cites Siudeja,Isoperimetric inequalities for eigenvalues of triangles, Indiana Univ.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Siudeja,Isoperimetric inequalities for eigenvalues of triangles, Indiana Univ

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f8456b55-323b-455e-9636-ddfe7d03ee76 · outbound

This paper cites an unresolved cited work.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 445f31d5-4949-485d-baec-9b56b92fec5f · outbound

This paper cites an unresolved cited work.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b905df1a-fc5b-4e1c-821e-153adcc922c6 · outbound

This paper cites Sokolowski and J.-P.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Sokolowski and J.-P

Reference 30

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d24248f7-03bb-4d95-86ce-77f31628d496 · outbound

This paper cites Zhu,Operator Theory in Function Spaces, 2nd ed., Mathematical Surveys and Monographs, Vol.

Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons Zhu,Operator Theory in Function Spaces, 2nd ed., Mathematical Surveys and Monographs, Vol

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-27T06:05:03.546034Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation fce52128-1659-4ffb-849c-8e212ee84201 · inbound

A P\'olya--Szeg\H{o} Theorem for Tangential Polygons cites this paper.

A P\'olya--Szeg\H{o} Theorem for Tangential Polygons Mixed Torsion on Right Triangles and the P\'olya--Szeg\H{o} Monotonicity Problem for Regular Polygons

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-03T00:40:04.857838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.