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Paper Citation Record · LEDGER

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law

As of 20 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 4 inbound Pith citation observations for arXiv:2507.04307.

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

pith.paper-citation-record.v1
2507.04307 v4

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

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measured 45 of 45 standing notices

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measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:02:03.495032Z

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Source: pith, observed 2026-07-03T11:28:04.510896Z

Reference resolution

41 of 41 outbound references displayed

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External citation measurements

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Outbound references

Observation 999f712e-d997-48fd-86f5-d6135893bb86 · outbound

This paper cites and Lieb E.H., On semiclassical bounds for eigenvalues of Schr ¨odinger op- erators,Phys.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law and Lieb E.H., On semiclassical bounds for eigenvalues of Schr ¨odinger op- erators,Phys

Reference 1

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Observation 123b03dc-141b-44c2-8263-7ae1c217684f · outbound

This paper cites an unresolved cited work.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

Reference 2

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Observation 0e9a3f55-3071-42b3-bf20-10f994c1aabf · outbound

This paper cites 2, 337-361.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law 2, 337-361

Reference 3

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Observation a2048c4e-2499-406d-9f95-630be1be15cc · outbound

This paper cites math., New ser.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law math., New ser

Reference 4

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This paper cites an unresolved cited work.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

Reference 5

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Observation b0ac2db7-6ad7-4603-8183-a260dc396536 · outbound

This paper cites and Hilbert D.,Methods of Mathematical Physics, Wiley, New York, 1989.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law and Hilbert D.,Methods of Mathematical Physics, Wiley, New York, 1989

Reference 6

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Observation a0595ca4-924e-4f2d-bcba-fb0f5c5cc6cd · outbound

This paper cites A., P ´olya’s conjecture for Euclidean balls, Invent.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law A., P ´olya’s conjecture for Euclidean balls, Invent

Reference 7

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Observation 6f0e5123-5008-4ec8-97e8-c6db415d8bbb · outbound

This paper cites A., P ´olya’s conjecture for Dirichlet eigen- values of annuli, arXiv:2505.21737.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law A., P ´olya’s conjecture for Dirichlet eigen- values of annuli, arXiv:2505.21737

Reference 8

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This paper cites Cambridge University Press, 2023.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Cambridge University Press, 2023

Reference 9

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Observation 3780dbca-ffc3-4b9c-8412-a3c4a2182a47 · outbound

This paper cites Reine Angew.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Reine Angew

Reference 10

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This paper cites Math.241 (2025), 999-1079.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Math.241 (2025), 999-1079

Reference 11

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This paper cites Pure Appl.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Pure Appl

Reference 12

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

Reference 13

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

Reference 14

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

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This paper cites an unresolved cited work.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

Reference 16

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

Reference 17

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This paper cites Texts in Math., 249 Springer, New York, 2008, xvi+489 pp.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Texts in Math., 249 Springer, New York, 2008, xvi+489 pp

Reference 18

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This paper cites P\'olya's conjecture for thin products.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law P\'olya's conjecture for thin products

Reference 19

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law III, Grundlehren Math

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

Reference 34

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P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

Reference 35

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raw_fallback, observed 2026-08-06T20:00:35.164888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T20:00:33.676366Z digest=sha256:c52f6a24427f92dcb2dcf24a37a323eeaadc34d778cb57706586f55844862a25

Observation 79bf676c-4317-41aa-8b22-d456fdfd5ab6 · outbound

This paper cites Mathematics and plausible reasoning, vol.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Mathematics and plausible reasoning, vol

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:00:35.050732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T20:00:33.755277Z digest=sha256:04978f83b4505ad63ec75b91ae902cfc4d22eef34591581d7f25ea6dd4480f66

Observation 19d90dc6-031b-4cdb-b676-65f41042b45f · outbound

This paper cites London Math.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law London Math

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:00:34.919886Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T20:00:33.881144Z digest=sha256:a0cb9f17182fcc2a3c84bc5bfa3fb09dc81414b47b5799cd5af25255574a88d5

Observation cc6679b1-d59d-40f9-b026-d65b0b62bab8 · outbound

This paper cites an unresolved cited work.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

Reference 38

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:00:34.798539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T20:00:33.927808Z digest=sha256:648c403e6da9004fe5a2dc1489ff51dac1f64abf816cb2b42523316627b0f043

Observation 3a6626cf-aa90-4103-ae69-2f8686594fdd · outbound

This paper cites in Math.29 (1978), 244-269.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law in Math.29 (1978), 244-269

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T20:00:34.740071Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T20:00:34.028495Z digest=sha256:f01fff00301a9a2f7140d64c2e6ff4375b79cab6a9284e6602acc75781015284

Observation 3a7cc967-5044-4ad0-bb84-0f18861b3071 · outbound

This paper cites an unresolved cited work.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

Reference 40

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:00:34.622497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T20:00:34.116587Z digest=sha256:0b04a5000ce159a7df024173a51d1137ad580c2e780b39f1b1d937b198ff8523

Observation 63e8ca3f-5414-47b4-915d-e6eb7d5731e7 · outbound

This paper cites an unresolved cited work.

P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law Unresolved cited work

Reference 41

Resolution
unresolved
raw_fallback, observed 2026-08-06T20:00:34.523645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-08-06T20:00:34.227473Z digest=sha256:2fccb1a277130c3a59999fd794879a0f6f661a5807633f31e37712f6d4d0d390

Pith citing papers

Observation cc9e5dd8-70a8-42b3-9714-404fc00e6790 · inbound

Improved Berezin-Li-Yau inequality and Kr\"oger inequality and consequences cites this paper.

Improved Berezin-Li-Yau inequality and Kr\"oger inequality and consequences P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-15T18:02:03.495032Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T18:02:03.495032Z digest=sha256:88061d3e6e787fa21062f3ad7e6a23808293cfef47dc2a36ce323a0d1bf61ee7

Observation ce8c2e63-7aec-4a99-9cc5-7681ae99f207 · inbound

Krahn--Szeg\H{o} type inequalities and nodal domain methods on graphs cites this paper.

Krahn--Szeg\H{o} type inequalities and nodal domain methods on graphs P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law

Reference 30

Resolution
verified exact
local_arxiv, observed 2026-07-03T11:28:04.512269Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-27T09:32:43.371239Z digest=sha256:b573f6594783367f1550aa6198274ca20290223f8d42a79f88e3ca47d2375048

Observation 430ed5e5-e1ba-4611-8c3e-6402135781a3 · inbound

P\'olya's Conjecture for the Neumann Eigenvalues on Euclidean Balls cites this paper.

P\'olya's Conjecture for the Neumann Eigenvalues on Euclidean Balls P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T01:10:35.808354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T01:10:35.808354Z digest=sha256:3f3e0f5a09272017f61a04369ff979de6e2c168b44f93ac96fd8847671ed2a51

Observation 978d4a48-9db7-43c6-9250-ffe44a7bc353 · inbound

P\'{o}lya's conjecture for higher-dimensional Neumann balls cites this paper.

P\'{o}lya's conjecture for higher-dimensional Neumann balls P\'olya's conjecture up to $\epsilon$-loss and quantitative estimates for the remainder of Weyl's law

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-03T09:43:12.343289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T09:43:12.343289Z digest=sha256:61c5df3ce7b8d1b74005bca4767b105fd7b744b009af8a92ec6f51d4992c86ec