Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T15:33:34.065246Z
Paper Citation Record · LEDGER
Reflectionless operators and automorphic Herglotz functions
As of 18 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2412.10992.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
26 of 26 outbound references displayed
- verified exact3
- verified fuzzy22
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 1933859d-7fdf-4885-a68b-522b4d8c7a08 · outbound
This paper cites Beardon, The exponent of convergence of Poincar´ e serie s, Proc.
Reflectionless operators and automorphic Herglotz functions Beardon, The exponent of convergence of Poincar´ e serie s, Proc
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:35.890301Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 85044e3b-7fb1-4dcc-9366-b88455941452 · outbound
This paper cites Beardon, The geometry of discrete groups, Graduate Tex ts in Mathe- matics 91, Springer-Verlag, New York, 1995.
Reflectionless operators and automorphic Herglotz functions Beardon, The geometry of discrete groups, Graduate Tex ts in Mathe- matics 91, Springer-Verlag, New York, 1995
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:35.593590Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 53453ede-657c-4d57-ae4d-ff088df535cf · outbound
This paper cites de Concini and R.
Reflectionless operators and automorphic Herglotz functions de Concini and R
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:35.578762Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 96e4ac78-4c0e-4f57-aad1-021bc3b87dc3 · outbound
This paper cites Craig, The trace formula for Schr¨ odinger operators on the line, Comm.
Reflectionless operators and automorphic Herglotz functions Craig, The trace formula for Schr¨ odinger operators on the line, Comm
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:35.564527Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 754ab7b3-8dae-4681-860f-26a90c289496 · outbound
This paper cites Christiansen, B.
Reflectionless operators and automorphic Herglotz functions Christiansen, B
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:35.478905Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9ec6c08c-79a3-42af-b8d9-e6c787718ac7 · outbound
This paper cites Christiansen, B.
Reflectionless operators and automorphic Herglotz functions Christiansen, B
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:35.357210Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 45656cf1-4424-4b19-9b62-598bc643f9dc · outbound
This paper cites Everitt, D.B.
Reflectionless operators and automorphic Herglotz functions Everitt, D.B
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:35.342547Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation dc50314f-5561-4660-9388-65b1edf48ef6 · outbound
This paper cites Farkas and I.
Reflectionless operators and automorphic Herglotz functions Farkas and I
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:35.327003Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 3e41235b-e75b-4ea8-9b01-4fff612445c0 · outbound
This paper cites Topological properties of reflectionless canonical systems.
Reflectionless operators and automorphic Herglotz functions Topological properties of reflectionless canonical systems
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T15:33:34.316090Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0dcd7d2a-b93c-4e93-82cf-bb7d7c21ef66 · outbound
This paper cites Gesztesy and H.
Reflectionless operators and automorphic Herglotz functions Gesztesy and H
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:35.312740Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 83746847-e93c-4ed3-894a-276a2f4b062c · outbound
This paper cites an unresolved cited work.
Reflectionless operators and automorphic Herglotz functions Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T15:33:35.297407Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0de82985-13e2-44f0-8e3c-16ffdbf57fff · outbound
This paper cites Katok, Fuchsian groups, University of Chicago Press, Chica go, 1992.
Reflectionless operators and automorphic Herglotz functions Katok, Fuchsian groups, University of Chicago Press, Chica go, 1992
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:35.108009Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ebf49b81-1c5b-45ad-9d74-3c66b1f2075a · outbound
This paper cites Keller, Die Hom¨ oomorphie der kompakten konvexen Menge n im Hilbertschen Raum (in German), Math.
Reflectionless operators and automorphic Herglotz functions Keller, Die Hom¨ oomorphie der kompakten konvexen Menge n im Hilbertschen Raum (in German), Math
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:35.035970Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ed3d7621-2aca-4c85-bba6-7a65d914d4d5 · outbound
This paper cites Klee, Some topological properties of convex sets, Trans.
Reflectionless operators and automorphic Herglotz functions Klee, Some topological properties of convex sets, Trans
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:35.016893Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 46bc1b34-705b-45ec-86d8-253aa2e30b83 · outbound
This paper cites Lehner, Discontinuous groups and automorphic functions, Mathematical Monographs and Surveys 8, American Mathematical Society, Prov idence, 1964.
Reflectionless operators and automorphic Herglotz functions Lehner, Discontinuous groups and automorphic functions, Mathematical Monographs and Surveys 8, American Mathematical Society, Prov idence, 1964
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:34.908911Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 1fee434c-f8a7-4388-b9e7-ccabb8cb4394 · outbound
This paper cites Levitan and I.S.
Reflectionless operators and automorphic Herglotz functions Levitan and I.S
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:34.781960Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e73bdbc2-6ae8-45d7-9db8-06c16e7590c5 · outbound
This paper cites Mumford, Tata Lectures on Theta 2, Birkh¨ auser-Verlag, Basel, 1984.
Reflectionless operators and automorphic Herglotz functions Mumford, Tata Lectures on Theta 2, Birkh¨ auser-Verlag, Basel, 1984
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:34.712998Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a4ff1402-4b56-447d-9cb3-6d82a4bcb710 · outbound
This paper cites Patterson, The exponent of convergence of Poincar´ e s eries, Monatshefte Math.
Reflectionless operators and automorphic Herglotz functions Patterson, The exponent of convergence of Poincar´ e s eries, Monatshefte Math
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:34.574390Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f7e488f1-3cee-4f43-bb60-f4f7207a04d2 · outbound
This paper cites Peherstorfer and P.
Reflectionless operators and automorphic Herglotz functions Peherstorfer and P
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:34.559855Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation b1e3ff2e-18b5-4532-bb24-d98365b1006e · outbound
This paper cites Remling, The absolutely continuous spectrum of Jacobi matr ices, Annals of Math.
Reflectionless operators and automorphic Herglotz functions Remling, The absolutely continuous spectrum of Jacobi matr ices, Annals of Math
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:34.545104Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation fa214f78-b74f-4e50-8018-df01b6d77dff · outbound
This paper cites Remling, Spectral theory of canonical systems, de Gruyte r Studies in Mathematics 70, Berlin/Boston, 2018.
Reflectionless operators and automorphic Herglotz functions Remling, Spectral theory of canonical systems, de Gruyte r Studies in Mathematics 70, Berlin/Boston, 2018
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:34.514470Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a8bf3a0d-4a7a-4e3d-ae68-938afac57d62 · outbound
This paper cites Reflectionless Dirac operators and matrix valued Krein functions.
Reflectionless operators and automorphic Herglotz functions Reflectionless Dirac operators and matrix valued Krein functions
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T15:33:34.230390Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ba07938d-8892-40ae-9aa1-e1c65e7885d5 · outbound
This paper cites Reflectionless Dirac operators and canonical systems.
Reflectionless operators and automorphic Herglotz functions Reflectionless Dirac operators and canonical systems
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T15:33:34.178143Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4f7d2ff2-43e1-4b55-9b7b-a7c13d28c601 · outbound
This paper cites Simon, Szego’s theorem and its descendants: Spectral the ory for L2 per- turbations of orthogonal polynomials, Princeton University Press , Princeton, 2011.
Reflectionless operators and automorphic Herglotz functions Simon, Szego’s theorem and its descendants: Spectral the ory for L2 per- turbations of orthogonal polynomials, Princeton University Press , Princeton, 2011
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:34.397684Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 02630362-6737-4a2c-b032-5a86d4402c15 · outbound
This paper cites Sodin and P.
Reflectionless operators and automorphic Herglotz functions Sodin and P
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:34.349291Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation df087497-c1ba-4ddf-9d5a-709684cee40b · outbound
This paper cites Teschl, Jacobi operators and completely integrable nonlinea r lattices, Mathematical Monographs and Surveys 72, American Mathematica l Society, Providence, 2000.
Reflectionless operators and automorphic Herglotz functions Teschl, Jacobi operators and completely integrable nonlinea r lattices, Mathematical Monographs and Surveys 72, American Mathematica l Society, Providence, 2000
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T15:33:34.331944Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
No inbound Pith citation observations are available.