Paper Citation Record · LEDGER

Chebyshev systems and Sturm oscillation theory for discrete polynomials

As of 13 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2501.02358.

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

pith.paper-citation-record.v1
2501.02358 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T22:26:05.477877Z

measured 31 of 31 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 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 exact2
verified fuzzy29
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1164d74f-1799-4b29-a163-bdd7772a6c95 · outbound

This paper cites Agarwal, M.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Agarwal, M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.840081Z

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 1ed96027-9d79-4646-a8ad-890152295c90 · outbound

This paper cites Babenko, An extremal problem for polynomials , Math.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Babenko, An extremal problem for polynomials , Math

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.829474Z

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 aa3c9e0f-56fb-48e7-bbb3-c912d0375bae · outbound

This paper cites Sturm's theorem on zeros of linear combinations of eigenfunctions.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Sturm's theorem on zeros of linear combinations of eigenfunctions

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:26:05.524580Z

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 5d15f568-487e-45fc-a7e1-c4fb68f34b15 · outbound

This paper cites Cohn and A.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Cohn and A

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.819079Z

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 59372c89-29a1-4dae-9cb2-d90d467cfb3d · outbound

This paper cites Chihara, An Introduction to Orthogonal Polynomials , Gordon and Breach Science Publishers, New York–London–Paris, 1978.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Chihara, An Introduction to Orthogonal Polynomials , Gordon and Breach Science Publishers, New York–London–Paris, 1978

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.808167Z

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 8dfe4545-abec-4015-b99e-2fdd18700cd1 · outbound

This paper cites Dunham, Discrete Chebyshev approximation: alternation and the Reme z algorithm , Z.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Dunham, Discrete Chebyshev approximation: alternation and the Reme z algorithm , Z

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.797524Z

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 a997c1fd-ba8b-4e87-95c8-4b3e714076d1 · outbound

This paper cites Dzyadyk and I.A.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Dzyadyk and I.A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.787362Z

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 79f955a9-9463-4ddb-865e-8dddece1af5e · outbound

This paper cites Eremenko and D.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Eremenko and D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.777234Z

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 39f8bd4d-3979-4c8d-ab70-4b37b6c742b9 · outbound

This paper cites Gantmacher and M.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Gantmacher and M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.766149Z

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 f8b238c2-2164-4afb-ab52-200531a279fa · outbound

This paper cites Gorbachev and V.I.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Gorbachev and V.I

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.755448Z

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 b0b8d0ac-9ef6-4010-beb8-e0986782b523 · outbound

This paper cites Gorbachev, V.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Gorbachev, V

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.744885Z

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 25fd3e5c-f2e3-4f64-9fe9-ac7048b81fcf · outbound

This paper cites Gorbachev, V.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Gorbachev, V

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.735246Z

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 ab470483-e329-496f-8944-b6e51098213d · outbound

This paper cites Ivanov, Yudin–Hermite extremal problems for polynomials , Math.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Ivanov, Yudin–Hermite extremal problems for polynomials , Math

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.725218Z

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 243f9545-36e9-4a19-893d-c615dd264914 · outbound

This paper cites Karlin and W.J.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Karlin and W.J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.713692Z

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 170e10cf-bf22-4dc0-afb9-c2023bbb31aa · outbound

This paper cites Laurent, Approximation et Optimisation, Herman n, Paris, 1972.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Laurent, Approximation et Optimisation, Herman n, Paris, 1972

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.702296Z

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 eafd2669-c9cb-49fc-ad13-05e761664a8f · outbound

This paper cites Levenshtein, Boundaries for packings of metric spaces and some application s, Problems of Cyber- netics 40 (1983), 43–110.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Levenshtein, Boundaries for packings of metric spaces and some application s, Problems of Cyber- netics 40 (1983), 43–110

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.692408Z

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 3e858a9f-ba40-4be8-924e-fb811caba576 · outbound

This paper cites Levitan and I.S.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Levitan and I.S

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.681527Z

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 cab578c4-69fc-4b7d-a62d-71f1e0bd088e · outbound

This paper cites Logan, Information in the zero crossings of bandpass signals , Bell Syst.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Logan, Information in the zero crossings of bandpass signals , Bell Syst

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.671202Z

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 4cabd28e-a1af-4353-b811-693e80f7d63a · outbound

This paper cites Mao, Reconstruction of binary functions and shapes from incomplet e frequency information , IEEE Trans Inf.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Mao, Reconstruction of binary functions and shapes from incomplet e frequency information , IEEE Trans Inf

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.661270Z

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 52a84c7b-bcb8-4691-a57c-89a56e00ba55 · outbound

This paper cites Mitkovski and A.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Mitkovski and A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.649968Z

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 a90bfc54-1bde-4965-87e7-3706500fdbc6 · outbound

This paper cites Montgomery and M.A.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Montgomery and M.A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.638423Z

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 5af9e94c-97b4-4bad-a307-6cbc7300233b · outbound

This paper cites How do the lengths of switching intervals influence the stability of a dynamical system?.

Chebyshev systems and Sturm oscillation theory for discrete polynomials How do the lengths of switching intervals influence the stability of a dynamical system?

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-10T22:26:05.509171Z

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 b532a277-29ad-49eb-a645-cfaffbcd71a7 · outbound

This paper cites Simon, Sturm oscillation and comparison theorems , Amrein, Werner O.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Simon, Sturm oscillation and comparison theorems , Amrein, Werner O

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.627466Z

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 a3d77006-888a-4958-887d-80591baff147 · outbound

This paper cites Steinerberger, Quantitative projections in the Sturm oscillation theorem , J.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Steinerberger, Quantitative projections in the Sturm oscillation theorem , J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.616406Z

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 ce923be2-52f2-4490-b56f-fc89f5afe6e0 · outbound

This paper cites Szeg¨ o, Orthogonal Polynomials, AMS, New York, 1959.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Szeg¨ o, Orthogonal Polynomials, AMS, New York, 1959

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.605034Z

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 8ec27501-db2b-4912-bb80-7a0d01b4bb87 · outbound

This paper cites Teschl, Jacobi Operators and Completely Integrable Nonlinear Lattic es, Mathematical Surveys and Monographs 72, Amer.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Teschl, Jacobi Operators and Completely Integrable Nonlinear Lattic es, Mathematical Surveys and Monographs 72, Amer

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.594881Z

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 d54ecff5-3fbf-465c-8e0d-28718d6f1520 · outbound

This paper cites Ulanovskii, The Sturm–Hurwitz theorem and its extensions , J.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Ulanovskii, The Sturm–Hurwitz theorem and its extensions , J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.583758Z

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 930ffede-5714-421d-b54f-7774f240c8e1 · outbound

This paper cites Zamarashkin, S.V.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Zamarashkin, S.V

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.572042Z

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 d5c9cec9-9901-4acd-b6fa-906785e83252 · outbound

This paper cites Yudin, Code and design , Discrete Math.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Yudin, Code and design , Discrete Math

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.560244Z

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 b45a1838-9f5c-413c-adb0-373d904ab523 · outbound

This paper cites Yudin, Positive values of polynomials , Math.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Yudin, Positive values of polynomials , Math

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.548121Z

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 29a0f3e5-7f3d-466a-80a8-93af42f4d5df · outbound

This paper cites Yudin, Distribution of the points of a design on the sphere , Izv.

Chebyshev systems and Sturm oscillation theory for discrete polynomials Yudin, Distribution of the points of a design on the sphere , Izv

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T22:26:05.536450Z

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.

Pith citing papers

No inbound Pith citation observations are available.