Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T11:43:02.951509Z
Paper Citation Record · LEDGER
Number and location of pre-images under harmonic mappings in the plane
As of 16 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:1908.08759.
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 2026-08-16T06:30:59.297886+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
38 of 38 outbound references displayed
- verified exact0
- verified fuzzy23
- unresolved15
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 6496ce4a-db8d-4eba-b914-35124d5f3913 · outbound
This paper cites an unresolved cited work.
Number and location of pre-images under harmonic mappings in the plane Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:43:03.372874Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5dfb6ae1-273e-41b0-9125-ca9c3b009923 · outbound
This paper cites an unresolved cited work.
Number and location of pre-images under harmonic mappings in the plane Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:43:03.362895Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e537cbc5-8468-4f99-94fd-83a6ea411863 · outbound
This paper cites an unresolved cited work.
Number and location of pre-images under harmonic mappings in the plane Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:43:03.353659Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4dfc86bd-1111-46f5-9ef8-1875a03f2485 · outbound
This paper cites an unresolved cited work.
Number and location of pre-images under harmonic mappings in the plane Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:43:03.344969Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ec712c34-6f0a-459b-a513-1c0a22973be7 · outbound
This paper cites Bénéteau and N.
Number and location of pre-images under harmonic mappings in the plane Bénéteau and N
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.336000Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 71b795b7-85ef-4bb5-ba7a-9b8abb9eb3a6 · outbound
This paper cites Bergweiler and A.
Number and location of pre-images under harmonic mappings in the plane Bergweiler and A
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.325722Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ff3ec7a2-b3e6-4650-9f7e-d9a264d784c4 · outbound
This paper cites an unresolved cited work.
Number and location of pre-images under harmonic mappings in the plane Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:43:03.315408Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 86df6edb-7d2a-4004-a414-933c65f61c7d · outbound
This paper cites Bollobás, Modern graph theory, vol.
Number and location of pre-images under harmonic mappings in the plane Bollobás, Modern graph theory, vol
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.304774Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 65db0059-cc3e-4020-8a3f-f74550ef7b7a · outbound
This paper cites Bshouty and A.
Number and location of pre-images under harmonic mappings in the plane Bshouty and A
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.292673Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ffe78105-d04a-4bd4-8662-d9220afa4700 · outbound
This paper cites Clunie and T.
Number and location of pre-images under harmonic mappings in the plane Clunie and T
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.281670Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f0f7cd50-9cc0-4072-b18c-ef50b56d6539 · outbound
This paper cites Duren, Harmonic mappings in the plane, vol.
Number and location of pre-images under harmonic mappings in the plane Duren, Harmonic mappings in the plane, vol
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.270647Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 18bec793-6628-47fd-97a3-4818fc32d8fd · outbound
This paper cites Duren, W.
Number and location of pre-images under harmonic mappings in the plane Duren, W
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.260748Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b24416b7-b017-4075-b93f-aa7a39a5ab0d · outbound
This paper cites Geyer, Sharp bounds for the valence of certain harmonic polynomials, Proc.
Number and location of pre-images under harmonic mappings in the plane Geyer, Sharp bounds for the valence of certain harmonic polynomials, Proc
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.251675Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5405aeb8-1621-4910-8fc3-ca5996ce5897 · outbound
This paper cites Hengartner and G.
Number and location of pre-images under harmonic mappings in the plane Hengartner and G
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.241655Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9385f91c-87dc-4948-ae11-08fa8403b480 · outbound
This paper cites Henrici, Applied and computational complex analysis.
Number and location of pre-images under harmonic mappings in the plane Henrici, Applied and computational complex analysis
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.231318Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 485c15c8-c124-48c4-9770-4194e11a2507 · outbound
This paper cites Khavinson, S.-Y.
Number and location of pre-images under harmonic mappings in the plane Khavinson, S.-Y
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.220992Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0caf992a-5e2b-47bf-85a1-1030672f27e7 · outbound
This paper cites Khavinson and G.
Number and location of pre-images under harmonic mappings in the plane Khavinson and G
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.210704Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 6c083d68-62c9-4438-bedc-b9ee3b104428 · outbound
This paper cites harmonious.
Number and location of pre-images under harmonic mappings in the plane harmonious
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.200392Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b8771eba-e4f0-46c6-80e9-c88ebd116810 · outbound
This paper cites Khavinson and G.
Number and location of pre-images under harmonic mappings in the plane Khavinson and G
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.189239Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 61ece056-383d-44a6-bd82-f4b8f9b38a29 · outbound
This paper cites an unresolved cited work.
Number and location of pre-images under harmonic mappings in the plane Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:43:03.179188Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 678baed5-7840-4fac-bd6a-035ecaf79ade · outbound
This paper cites Liesen and J.
Number and location of pre-images under harmonic mappings in the plane Liesen and J
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.169087Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b066a52a-de9a-4e8e-9a7e-215862d45455 · outbound
This paper cites Liesen and J.
Number and location of pre-images under harmonic mappings in the plane Liesen and J
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.158298Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation e4b5ae65-4058-4f3f-b98a-3ff3e59326ec · outbound
This paper cites an unresolved cited work.
Number and location of pre-images under harmonic mappings in the plane Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:43:03.148790Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation d8e3dc19-2e80-462c-837d-7ce98aabe822 · outbound
This paper cites Luce and O.
Number and location of pre-images under harmonic mappings in the plane Luce and O
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.138529Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0f879ffd-1d50-444f-ada1-e07fdafc08ed · outbound
This paper cites an unresolved cited work.
Number and location of pre-images under harmonic mappings in the plane Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:43:03.128446Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a5a2a0ef-14c5-410d-a74d-7d6d5a574f04 · outbound
This paper cites an unresolved cited work.
Number and location of pre-images under harmonic mappings in the plane Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:43:03.118395Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ce9ff0aa-d152-4033-8c6a-6a240a40687c · outbound
This paper cites Lyzzaik, Local properties of light harmonic mappings, Canad.
Number and location of pre-images under harmonic mappings in the plane Lyzzaik, Local properties of light harmonic mappings, Canad
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.107874Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 40c1cbbb-fbec-4c2b-841d-c7a951da06cb · outbound
This paper cites Neumann, Valence of complex-valued planar harmonic functions, Trans.
Number and location of pre-images under harmonic mappings in the plane Neumann, Valence of complex-valued planar harmonic functions, Trans
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.097471Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7b9e36ca-bab0-4027-b6cb-84e8ed790b14 · outbound
This paper cites an unresolved cited work.
Number and location of pre-images under harmonic mappings in the plane Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:43:03.086262Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 42e58916-1336-41d0-b864-79c5b274fa98 · outbound
This paper cites an unresolved cited work.
Number and location of pre-images under harmonic mappings in the plane Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:43:03.074383Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation f18dbc10-d6d7-4319-9f1a-576cb1ee80ae · outbound
This paper cites Roe, Winding around.
Number and location of pre-images under harmonic mappings in the plane Roe, Winding around
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.062810Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4a98b59d-f011-420a-aa43-cfb0a2867796 · outbound
This paper cites an unresolved cited work.
Number and location of pre-images under harmonic mappings in the plane Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:43:03.050598Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cbfea4c7-0b26-43dc-9e92-7a1ae0bb5b87 · outbound
This paper cites Sète and J.
Number and location of pre-images under harmonic mappings in the plane Sète and J
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.039142Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 73208049-a3af-43a4-8225-07b4538c2d6b · outbound
This paper cites Sheil-Small, Complex Polynomials, vol.
Number and location of pre-images under harmonic mappings in the plane Sheil-Small, Complex Polynomials, vol
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:03.027941Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bd85d9a6-9c52-4643-b742-40b3e2e3b256 · outbound
This paper cites an unresolved cited work.
Number and location of pre-images under harmonic mappings in the plane Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:43:03.016550Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation ea3a2f5f-0c72-4bae-99db-7d691d042afd · outbound
This paper cites an unresolved cited work.
Number and location of pre-images under harmonic mappings in the plane Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:43:03.006210Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 7cd159f9-2d18-43f8-b185-c4060d6e8b9d · outbound
This paper cites Wegert, Visual complex functions.
Number and location of pre-images under harmonic mappings in the plane Wegert, Visual complex functions
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T11:43:02.995208Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9bd36903-6de1-4ab1-ba87-bc2ad0d233f9 · outbound
This paper cites an unresolved cited work.
Number and location of pre-images under harmonic mappings in the plane Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T11:43:02.982687Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.