Paper Citation Record · LEDGER

Eigenvalue distribution of canonical systems: trace class and sparse spectrum

As of 20 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2412.20124.

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

pith.paper-citation-record.v1
2412.20124 v1

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:43:49.905785Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:26:32.661580Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T18:26:32.711043Z

Reference resolution

34 of 34 outbound references displayed

verified exact1
verified fuzzy32
unresolved1
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 64535b6a-a12a-4efd-814b-09fe613b24a9 · outbound

This paper cites Baranov and H.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Baranov and H

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.436483Z

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.

Observation e59e668f-765d-4b09-a319-5cee51e05425 · outbound

This paper cites Behrndt, S.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Behrndt, S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.424812Z

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.

Observation 1d100f6d-dc35-4207-be48-6e5c2de1f285 · outbound

This paper cites Berg and H.L.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Berg and H.L

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.413428Z

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.

Observation 0d24bcc9-13c8-409d-b2db-498614495a0c · outbound

This paper cites Berg and R.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Berg and R

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.401159Z

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.

Observation 433b704a-c9fa-4486-80ad-922c11ef3e6f · outbound

This paper cites Bingham, C.M.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Bingham, C.M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.386990Z

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.

Observation fbf73d3e-ea8d-4694-90b4-9acb52807de4 · outbound

This paper cites Boas Jr., Entire Functions, Academic Press Inc., New York, 1954.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Boas Jr., Entire Functions, Academic Press Inc., New York, 1954

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.373212Z

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.

Observation 2c021d66-8f60-4d8c-9bb0-8cba7877ae5c · outbound

This paper cites de Branges, Some Hilbert spaces of entire functions.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum de Branges, Some Hilbert spaces of entire functions

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.360483Z

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.

Observation 53a2a7fa-a9a0-415e-802f-355fa41a76c5 · outbound

This paper cites de Branges, Hilbert Spaces of Entire Functions , Prentice-Hall Inc., Englewood Cliﬀs, N.J., 1968.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum de Branges, Hilbert Spaces of Entire Functions , Prentice-Hall Inc., Englewood Cliﬀs, N.J., 1968

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.346439Z

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.

Observation 8911d83c-425c-4343-9c05-4ce32f1b6a7e · outbound

This paper cites Eckhardt and A.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Eckhardt and A

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.331498Z

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.

Observation a26e1230-f802-4ccd-915a-265989c69e79 · outbound

This paper cites Gohberg and M.G.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Gohberg and M.G

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.320086Z

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.

Observation 0ae30462-2a93-4746-bd97-540fcc8b0a1c · outbound

This paper cites Hardy, Weierstrass’s non-diﬀerentiable function, Trans.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Hardy, Weierstrass’s non-diﬀerentiable function, Trans

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.308379Z

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.

Observation 560ca1c0-fc41-4e07-8443-f3b07a946492 · outbound

This paper cites Kac, Integral estimates for the distribution of the spect rum of a string [Russian], Sibirsk.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Kac, Integral estimates for the distribution of the spect rum of a string [Russian], Sibirsk

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.296288Z

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.

Observation 4898f85c-b595-45c6-8fb8-f7f50fd4462f · outbound

This paper cites Kac, Tightness of a spectrum of a singular string, Izv.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Kac, Tightness of a spectrum of a singular string, Izv

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.284134Z

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.

Observation 84b60a64-1341-42f9-b572-dc5cdbe67b2d · outbound

This paper cites Kac, Inclusion of Hamburger’s power moment problem in the s pectral theory of canon- ical systems [Russian], Zap.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Kac, Inclusion of Hamburger’s power moment problem in the s pectral theory of canon- ical systems [Russian], Zap

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.271416Z

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.

Observation eb18e90c-1240-470a-8c79-8458aa74f5c4 · outbound

This paper cites Kaltenb¨ ack, H.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Kaltenb¨ ack, H

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.257525Z

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.

Observation 1fc55426-40e9-4551-8375-25e806e6e783 · outbound

This paper cites Kaltenb¨ ack and H.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Kaltenb¨ ack and H

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.241716Z

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.

Observation daccba42-07a8-459d-9133-61af5285e779 · outbound

This paper cites Krein, On the theory of entire matrix functions of exponen tial type [Russian], Ukrain.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Krein, On the theory of entire matrix functions of exponen tial type [Russian], Ukrain

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.228054Z

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.

Observation bb87ca32-1271-4016-89a8-2afc6ac35e8c · outbound

This paper cites Langer, R.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Langer, R

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.214535Z

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.

Observation a63048cc-7180-4219-8f83-9968922c1b7d · outbound

This paper cites Langer and H.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Langer and H

Reference 19

Resolution: verified exact; doi, observed 2026-08-10T23:43:49.944753Z

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.

Observation a06aaccf-c3d8-41cf-9ba2-8335790fb56c · outbound

This paper cites Levin, Distribution of Zeros of Entire Functions , Transl.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Levin, Distribution of Zeros of Entire Functions , Transl

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.195616Z

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.

Observation 196e6a82-aa50-4779-a9b1-cd210fa27c82 · outbound

This paper cites Peˇ sa, On the smoothness of slowly varying functions, Proc.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Peˇ sa, On the smoothness of slowly varying functions, Proc

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.177897Z

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.

Observation 75f6dcf0-c417-4e31-b6e7-1d30ee78939b · outbound

This paper cites Pruckner and H.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Pruckner and H

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.162639Z

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.

Observation 56da5997-7953-4e26-bb7a-a7c8d5f1a1e6 · outbound

This paper cites Reiﬀenstein, A quantitative formula for the imaginary part of a Weyl coeﬃcient, J.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Reiﬀenstein, A quantitative formula for the imaginary part of a Weyl coeﬃcient, J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.146473Z

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.

Observation 97ff5adc-d9f8-40a3-93d6-fac37dc06117 · outbound

This paper cites Reiﬀenstein, Growth estimates for Nevanlinna matrices of or der larger than one half, manuscript in preparation.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Reiﬀenstein, Growth estimates for Nevanlinna matrices of or der larger than one half, manuscript in preparation

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.131032Z

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.

Observation 6c14267b-324d-472c-ae8e-231d437a3dd2 · outbound

This paper cites Reiﬀenstein, Nevanlinna matrix estimates without regularity c onditions, manuscript in preparation.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Reiﬀenstein, Nevanlinna matrix estimates without regularity c onditions, manuscript in preparation

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.115712Z

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.

Observation cbbc54c0-1376-4aa6-8b75-bf8e108a1d75 · outbound

This paper cites Remling, Schr¨ odinger operators and de Branges spaces, J.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Remling, Schr¨ odinger operators and de Branges spaces, J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.101389Z

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.

Observation 90175fa2-5125-4eba-b3c1-30d827397e40 · outbound

This paper cites Remling, Spectral Theory of Canonical Systems , De Gruyter Stud.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Remling, Spectral Theory of Canonical Systems , De Gruyter Stud

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.085128Z

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.

Observation 2062ac50-0095-4e36-89d4-a96871a226d1 · outbound

This paper cites Remling and K.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Remling and K

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.067837Z

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.

Observation d3bf123c-7f79-41b6-b866-80a1a7a6de80 · outbound

This paper cites Remling and K.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Remling and K

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.046829Z

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.

Observation cd539b1e-88fc-4fb3-9e3c-bc54817234ea · outbound

This paper cites Canonical systems and de Branges spaces.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Canonical systems and de Branges spaces

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-10T23:43:49.879975Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29fa92f9-a709-44d3-8ae7-5fcd9033c439 · outbound

This paper cites Romanov, Order problem for canonical systems and a conje cture of Valent, Trans.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Romanov, Order problem for canonical systems and a conje cture of Valent, Trans

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.029218Z

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.

Observation 31061eac-4759-40fb-86fa-e88f89568f43 · outbound

This paper cites Romanov and H.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Romanov and H

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:50.011971Z

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.

Observation 0d607502-d5be-49bd-b2ae-85aa858ec589 · outbound

This paper cites Rosenblum and J.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Rosenblum and J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:49.997213Z

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.

Observation 44da088e-c58e-4b4c-98b0-4e557e297475 · outbound

This paper cites Sakhnovich, Dirac type and canonical systems: spectral a nd Weyl–Titchmarsh matrix functions, direct and inverse problems, Inverse Problems 18 (2002), 331–348.

Eigenvalue distribution of canonical systems: trace class and sparse spectrum Sakhnovich, Dirac type and canonical systems: spectral a nd Weyl–Titchmarsh matrix functions, direct and inverse problems, Inverse Problems 18 (2002), 331–348

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:43:49.981764Z

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.

Pith citing papers

Observation 834fc2b8-25aa-4196-8d71-89a6f83d9fc8 · inbound

Growth estimates for Nevanlinna matrices of order larger than one half cites this paper.

Growth estimates for Nevanlinna matrices of order larger than one half Eigenvalue distribution of canonical systems: trace class and sparse spectrum

Reference 234

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T18:26:32.718471Z

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.