Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:10:19.772356Z
Paper Citation Record · LEDGER
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns
As of 20 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 0 inbound Pith citation observations for arXiv:2507.03901.
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 2026-08-20T06:33:59.587034+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
33 of 33 outbound references displayed
- verified exact0
- verified fuzzy18
- unresolved15
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 99132192-bf3d-44b3-a8ac-3a9ada32ecfd · outbound
This paper cites Angle, T.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Angle, T
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:10:20.073819Z
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 2bab2c21-b5d9-4d12-ab4d-63d4f803f25d · outbound
This paper cites Beardon, K.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Beardon, K
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:10:20.064857Z
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 d96e1f97-0260-4aeb-aaa3-5d2912c599ec · outbound
This paper cites Calabi, Extremal K¨ ahler metrics, Ann.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Calabi, Extremal K¨ ahler metrics, Ann
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:10:20.056097Z
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 6be5cb45-4bf3-413f-bdcc-718d7190b6c2 · outbound
This paper cites Calabi, Extremal K¨ ahler metrics II, Differential geometry and complex analysis, Springer, Berlin, (1985) 95-114.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Calabi, Extremal K¨ ahler metrics II, Differential geometry and complex analysis, Springer, Berlin, (1985) 95-114
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:10:20.047540Z
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 2ca93cf6-83d7-45f6-9427-147da7af2d48 · outbound
This paper cites Chang, Global existence and convergence of solutions of Calabi flow on surfaces of genus h ≥ 2 , Kyoto J.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Chang, Global existence and convergence of solutions of Calabi flow on surfaces of genus h ≥ 2 , Kyoto J
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:10:20.038453Z
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 7b272534-7422-4bdc-9fda-aed8424d945d · outbound
This paper cites Chang, The 2-dimensional Calabi flow , Nagoya Math.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Chang, The 2-dimensional Calabi flow , Nagoya Math
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:10:20.029165Z
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 f65066e2-fd03-4e43-b0a6-e449858113f3 · outbound
This paper cites Chen, Calabi flow in Riemann surfaces revisited: a new point of view , Int.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Chen, Calabi flow in Riemann surfaces revisited: a new point of view , Int
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:10:20.020804Z
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 860d672f-f4d1-4bbb-9dac-da08d0718ddb · outbound
This paper cites an unresolved cited work.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:10:20.011392Z
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 386ee168-b21f-429d-9618-d846c5fae02e · outbound
This paper cites an unresolved cited work.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:10:20.003438Z
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 43c072ac-ecf9-4513-b383-2c9f0dd8bcc8 · outbound
This paper cites an unresolved cited work.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:10:19.995114Z
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 d30ace1b-88bd-4a06-91ed-20ba60ea725b · outbound
This paper cites Ge, Combinatorial methods and geometric equations, Thesis (Ph.D.)-Peking University, Beijing.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Ge, Combinatorial methods and geometric equations, Thesis (Ph.D.)-Peking University, Beijing
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:10:19.986323Z
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 dce1410a-32c6-43e6-918a-a2d8e7799eb4 · outbound
This paper cites Ge, Combinatorial Calabi flows on surfaces , Trans.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Ge, Combinatorial Calabi flows on surfaces , Trans
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:10:19.976942Z
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 80a31b37-193f-4837-ba4f-0439a0993c45 · outbound
This paper cites an unresolved cited work.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:10:19.968282Z
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 0455f8ef-2060-44fe-82f8-7b3f5b869a50 · outbound
This paper cites an unresolved cited work.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:10:19.960061Z
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 fbd80b17-54eb-40da-bb66-a7642eb5279e · outbound
This paper cites an unresolved cited work.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:10:19.951190Z
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 db2f076a-134d-42dc-aec8-bfb09240b521 · outbound
This paper cites an unresolved cited work.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:10:19.942884Z
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 023b5944-b5f0-4af7-8adf-14f289ba1ca2 · outbound
This paper cites an unresolved cited work.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:10:19.934562Z
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 17dcbdc9-897c-410c-94dd-9b322cd805b7 · outbound
This paper cites an unresolved cited work.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:10:19.926780Z
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 02d01c14-2a5f-4649-8607-b905bfc7a836 · outbound
This paper cites Glickenstein, J.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Glickenstein, J
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:10:19.918808Z
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 9401f067-4e19-4902-834e-ae58d3918456 · outbound
This paper cites Guo, Combinatorial Yamabe flow on hyperbolic surfaces with boundary , Comm.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Guo, Combinatorial Yamabe flow on hyperbolic surfaces with boundary , Comm
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:10:19.910266Z
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 8c6f4521-6100-4db8-957f-399886b94a2d · outbound
This paper cites Hamilton, Three-manifolds with positive Ricci curvature , J.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Hamilton, Three-manifolds with positive Ricci curvature , J
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:10:19.901679Z
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 c1b9e4a7-c953-4c30-b472-2220fd3e5e0e · outbound
This paper cites an unresolved cited work.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:10:19.892865Z
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 a2f86c68-d54c-4687-bbf7-9f2d328db434 · outbound
This paper cites an unresolved cited work.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:10:19.884328Z
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 438e88fa-98a1-4dd0-bff7-276936f5beb9 · outbound
This paper cites an unresolved cited work.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:10:19.875449Z
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 47ba9178-2efc-4c2f-96b1-d8970425ed67 · outbound
This paper cites an unresolved cited work.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:10:19.867019Z
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 b09c140f-694c-4117-902c-3b42eceeeb45 · outbound
This paper cites Luo, Combinatorial Yamabe flow on surfaces , Commun.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Luo, Combinatorial Yamabe flow on surfaces , Commun
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:10:19.858107Z
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 d4115d21-f31c-49f1-9595-70aa4ceca1d7 · outbound
This paper cites Luo, A combinatorial curvature flow for compact 3-manifolds with boundary , Electron.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Luo, A combinatorial curvature flow for compact 3-manifolds with boundary , Electron
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:10:19.849240Z
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 1608875d-9b91-4806-bf86-8d3b3a34b99d · outbound
This paper cites Thurston, Geometry and Topology of 3-Manifolds , Princeton Lecture Notes, 1976.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Thurston, Geometry and Topology of 3-Manifolds , Princeton Lecture Notes, 1976
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:10:19.840125Z
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 1bba8833-898c-4957-aa7a-408971cc757c · outbound
This paper cites Colin de Verdi` ere, Un principe variationnel pour les empilements de cercles , Invent.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Colin de Verdi` ere, Un principe variationnel pour les empilements de cercles , Invent
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:10:19.831359Z
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 16ca4c10-51a8-455d-a604-8cb4963ace21 · outbound
This paper cites Xu, Rigidity of inversive distance circle packings revisited , Adv.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Xu, Rigidity of inversive distance circle packings revisited , Adv
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:10:19.822010Z
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 c1879007-8e3d-46b5-ab47-200b26bdf62f · outbound
This paper cites Fractional combinatorial Calabi flow on surfaces.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Fractional combinatorial Calabi flow on surfaces
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:10:19.765744Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 39c9a241-92ca-4708-b26d-26a25c72aa23 · outbound
This paper cites Zhang, X.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Zhang, X
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:10:19.812659Z
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 ae6e6320-6b6b-4a2e-822c-1ac9a6cba6a2 · outbound
This paper cites Circle patterns with obtuse exterior intersection angles.
Improved explicit estimates for the discrete Laplace operator with hyperbolic circle patterns Circle patterns with obtuse exterior intersection angles
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:10:19.772356Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.