Paper Citation Record · LEDGER

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems

As of 8 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2506.08160.

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

pith.paper-citation-record.v1
2506.08160 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:30:56.706086Z

measured 26 of 26 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

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unresolved15
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External citation measurements

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Outbound references

Observation 4ad28fe6-c28e-40b9-b2c3-7fd97d18a8b5 · outbound

This paper cites V.; Sario, L.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems V.; Sario, L

Reference 1

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Source-reported events for the cited work

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Observation e718b468-1f59-4863-a7c6-670a842c841f · outbound

This paper cites On holomorphick-differentials on open Riemann surfaces.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems On holomorphick-differentials on open Riemann surfaces

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:56.911125Z

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Observation 3ae234fa-126f-4cef-a21e-d0b784b37eb3 · outbound

This paper cites On extension of holomorphick-differentials on open Riemann surfaces.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems On extension of holomorphick-differentials on open Riemann surfaces

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:56.901719Z

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Observation fb7b12b2-26b3-4967-98ff-0b3ceadec0c0 · outbound

This paper cites Kernel functions and conformal mapping.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems Kernel functions and conformal mapping

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T05:30:56.642342Z

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Observation cd516ce5-a835-443a-ba6d-6ee9883d6048 · outbound

This paper cites an unresolved cited work.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems Unresolved cited work

Reference 5

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Observation 2e50666a-792c-4c26-a44e-2809cfc9a871 · outbound

This paper cites Dirichlet’s principle, conformal mapping, and minimal surfaces.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems Dirichlet’s principle, conformal mapping, and minimal surfaces

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:56.878562Z

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Observation 196117d1-32b8-47c5-8be3-fb4befe6949b · outbound

This paper cites Lectures notes on compact Riemann surfaces.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems Lectures notes on compact Riemann surfaces

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T05:30:56.650917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41e93658-199e-43dd-8ced-352e137bfde4 · outbound

This paper cites M.; and Kra, I.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems M.; and Kra, I

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T05:30:56.655282Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 00fdec35-93c2-4b8a-9c6c-c21c719a3a06 · outbound

This paper cites On a theorem on Haupt and Wirtinger concerning the periods of adifferential of the first kind, anda related topological theorem, Proc.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems On a theorem on Haupt and Wirtinger concerning the periods of adifferential of the first kind, anda related topological theorem, Proc

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:56.863750Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c69661f0-f6a1-4438-a00a-bf0d8d361937 · outbound

This paper cites Univalent functions and Teichmüller spaces.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems Univalent functions and Teichmüller spaces

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:56.853465Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c638466c-a20f-4776-ae54-ff70e6cfc542 · outbound

This paper cites V., Jr.; Yulmukhametov, R.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems V., Jr.; Yulmukhametov, R

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T05:30:56.662993Z

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Unavailable: canonical work link unavailable.

Observation 7a37693d-3191-4104-9fb1-545793757bc8 · outbound

This paper cites an unresolved cited work.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T05:30:56.665550Z

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Unavailable: canonical work link unavailable.

Observation 3a74fc9b-931b-421c-a760-1c500e1d79a4 · outbound

This paper cites an unresolved cited work.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:30:56.830952Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d0d86fd6-3cc0-4dd6-9e56-3b2ad1e44372 · outbound

This paper cites The kernel function of an orthonormal system.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems The kernel function of an orthonormal system

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:56.820005Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2dc5fa22-3f7f-4af1-a581-fc3280936936 · outbound

This paper cites and Spencer, D.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems and Spencer, D

Reference 15

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Observation 04292e7f-e02d-4790-9940-d646941f6176 · outbound

This paper cites Faber series for $L^2$ holomorphic one-forms on Riemann surfaces with boundary.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems Faber series for $L^2$ holomorphic one-forms on Riemann surfaces with boundary

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T05:30:56.677984Z

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Observation a3b86a09-8772-48e0-8ba7-280d59333d33 · outbound

This paper cites and Staubach, W.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems and Staubach, W

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T05:30:56.681084Z

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Observation 58defa75-eb69-425d-b455-81074f662f71 · outbound

This paper cites Plemelj-Sokhotski isomorphism for quasicircles in Riemann surfaces and the Schiffer operator.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems Plemelj-Sokhotski isomorphism for quasicircles in Riemann surfaces and the Schiffer operator

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T05:30:56.683605Z

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Unavailable: canonical work link unavailable.

Observation 228720c7-eff0-49ef-b3d8-a40f5c72e47d · outbound

This paper cites Analysis on quasicircles-A unified approach through transmission and jump problems.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems Analysis on quasicircles-A unified approach through transmission and jump problems

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:56.794141Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 671a4c87-6b0c-4bde-a65e-6707cb5a738c · outbound

This paper cites A scattering theory of harmonic one-forms on Riemann surfaces.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems A scattering theory of harmonic one-forms on Riemann surfaces

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T05:30:56.688849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84ab2507-f5ad-4fb2-b1af-4def41cd2950 · outbound

This paper cites Overfare of harmonic functions on Riemann surfaces.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems Overfare of harmonic functions on Riemann surfaces

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T05:30:56.691647Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 474d505f-5efb-4ee5-8c6a-181604eadb3a · outbound

This paper cites Overfare of harmonic one-forms on Riemann surfaces.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems Overfare of harmonic one-forms on Riemann surfaces

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T05:30:56.693902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a8b32ce-51ac-40c9-8f0d-71bb9a32cad9 · outbound

This paper cites Scattering theory on Riemann surfaces II: the scattering matrix and generalized period mappings.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems Scattering theory on Riemann surfaces II: the scattering matrix and generalized period mappings

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:56.775736Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 5ac68c41-ac63-4deb-8c08-81072cf38a47 · outbound

This paper cites A Survey of Scattering Theory on Riemann Surfaces with Applications in Global Analysis and Geometry.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems A Survey of Scattering Theory on Riemann Surfaces with Applications in Global Analysis and Geometry

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:56.765230Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 11ac66ca-f723-4fac-bee1-6d57456b426a · outbound

This paper cites Faber and Grunsky Operators on Bordered Riemann Surfaces of Arbitrary Genus and the Schiffer Isomorphism".

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems Faber and Grunsky Operators on Bordered Riemann Surfaces of Arbitrary Genus and the Schiffer Isomorphism"

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T05:30:56.702145Z

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Unavailable: canonical work link unavailable.

Observation 2e858e8c-800d-4c12-baed-a6e3fb5f71f8 · outbound

This paper cites Faber and Grunsky Operators Corresponding to Bordered Riemann Surfaces, Conform.

Scattering theory on Riemann surfaces I: Schiffer operators, cohomology, and index theorems Faber and Grunsky Operators Corresponding to Bordered Riemann Surfaces, Conform

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:56.748590Z

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No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

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