Paper Citation Record · LEDGER

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings

As of 8 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2506.08166.

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

pith.paper-citation-record.v1
2506.08166 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:30:45.380430Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

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.

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

25 of 25 outbound references displayed

verified exact0
verified fuzzy19
unresolved6
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3b07b6f1-61a1-46ea-adf4-baa3bceb04d8 · outbound

This paper cites an unresolved cited work.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:30:45.707588Z

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 a9822cc1-d95d-49af-b8d6-bfceaae117e5 · outbound

This paper cites V.; Sario, L.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings V.; Sario, L

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.695462Z

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 6e5e47d6-71fd-40dd-99ee-382afd5d0f22 · outbound

This paper cites Kernel functions and conformal mapping.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings Kernel functions and conformal mapping

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.683471Z

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 d2298f5e-108e-43b7-9310-fb426a5cb171 · outbound

This paper cites Linear partial differential operators.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings Linear partial differential operators

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.671532Z

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 2c98d464-0974-4e7b-a50c-1e766d1ee20b · outbound

This paper cites Besov spaces on closed subsets ofRn.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings Besov spaces on closed subsets ofRn

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.659211Z

Source-reported events for the cited work

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Observation 8cd38e4a-454d-4f08-a60f-31d332179d94 · outbound

This paper cites Function spaces on subsets ofRn.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings Function spaces on subsets ofRn

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.647461Z

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 070040f3-ca2c-41ce-b610-4a19601eb16c · outbound

This paper cites A.; and Yuriev, D.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings A.; and Yuriev, D

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.635337Z

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 61c7582e-0d62-4785-9179-631dc02d3ac1 · outbound

This paper cites an unresolved cited work.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:30:45.623096Z

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 8c476690-41be-4424-a85b-9199a81f5a3f · outbound

This paper cites Teichmüller theory and the universal period mapping via quantum calculus and theH 1/2 space on the circle.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings Teichmüller theory and the universal period mapping via quantum calculus and theH 1/2 space on the circle

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.611558Z

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 70a31243-2b4b-40e7-ac52-c9f7770250d5 · outbound

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

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings V., Jr.; Yulmukhametov, R

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.599718Z

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 59df1e20-8939-4483-b754-fa0e77f65486 · outbound

This paper cites and Schippers, E.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings and Schippers, E

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.588285Z

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 d65b0da4-ed24-4586-a202-ae51cfc8d728 · outbound

This paper cites A Model of the Teichmüller space of genus-zero bordered surfaces by period maps.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings A Model of the Teichmüller space of genus-zero bordered surfaces by period maps

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.574698Z

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 64ee09db-17af-4e2a-bd85-6ed6d3f49325 · outbound

This paper cites Dirichlet spaces of domains bounded by quasicircles, Commun.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings Dirichlet spaces of domains bounded by quasicircles, Commun

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.560655Z

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 f836c254-c0ab-4d95-84fa-9127e56e64c0 · outbound

This paper cites Theorie der Abelschen Functionen, J.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings Theorie der Abelschen Functionen, J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.547386Z

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 83ebb234-7da3-4810-b70b-c3250d2dc7ea · outbound

This paper cites an unresolved cited work.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:30:45.535285Z

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 30a52f56-eac2-427a-8d84-94f7f5cee1ac · outbound

This paper cites Riemann boundary value problem on quasidisks, Faber isomorphism and Grunsky operator.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings Riemann boundary value problem on quasidisks, Faber isomorphism and Grunsky operator

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.522277Z

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 dec0d0a4-39cd-44d0-a15f-9f94aed014e3 · outbound

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

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings Analysis on quasicircles — A unified approach through transmission and jump problems

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.509382Z

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 30f73af5-a858-446a-8344-9e82e8786a71 · outbound

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

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings A scattering theory of harmonic one-forms on Riemann surfaces

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T05:30:45.352400Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8810b183-87ce-4bc1-98cf-f9699e2771d0 · outbound

This paper cites Overfare of harmonic functions on Riemann surfaces.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings Overfare of harmonic functions on Riemann surfaces

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-07T05:30:45.357613Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ac8d159-c85a-42d3-990b-afb9d4035010 · outbound

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

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings Overfare of harmonic one-forms on Riemann surfaces

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-07T05:30:45.361262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e95a0e15-7bca-42a1-a1cf-1ba4487e6595 · outbound

This paper cites Scattering theory on Riemann surfaces I: Schiffer operators, cohomol- ogy, and index theorems.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings Scattering theory on Riemann surfaces I: Schiffer operators, cohomol- ogy, and index theorems

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.479736Z

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 eaf6be35-6dbc-46ab-bde9-38e63b8c8aef · outbound

This paper cites and Staubach, W.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings and Staubach, W

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.467180Z

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 8d5e4e09-d098-44ea-b9eb-2fd3a288c7a4 · outbound

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

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings Faber and Grunsky Operators on Bordered Riemann Surfaces of Arbitrary Genus and the Schiffer Isomorphism"

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.454781Z

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 ce56d02b-e859-4039-a2c1-0a26e65766d3 · outbound

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

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings Faber and Grunsky Operators Corresponding to Bordered Riemann Surfaces, Conform

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.442144Z

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 88dcc065-e568-456c-aecc-9e9f529dbb76 · outbound

This paper cites Weil-Petersson Metric on the Universal Teichmüller Space, Memoirs of the American Mathematical Society.183(2006) no.

Scattering theory on Riemann surfaces II: The scattering matrix and generalized period mappings Weil-Petersson Metric on the Universal Teichmüller Space, Memoirs of the American Mathematical Society.183(2006) no

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:30:45.428510Z

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.

Pith citing papers

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