Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T14:51:12.281751Z
Paper Citation Record · LEDGER
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures
As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 1 inbound Pith citation observation for arXiv:1908.02535.
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, observed 2026-08-14T11:14:34.389698Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-14T11:14:34.475230Z
Reference resolution
19 of 19 outbound references displayed
- verified exact0
- verified fuzzy16
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 3dd7d194-de7f-4a31-a85e-b4d16c3947e7 · outbound
This paper cites Barrett and J.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Barrett and J
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:12.604196Z
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 c87202f4-322e-4003-95c3-9bceff610789 · outbound
This paper cites Buser and P.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Buser and P
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:12.589117Z
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 e04442bc-d659-470d-973a-085cabb53068 · outbound
This paper cites Buser, Geometry and spectra of compact Riemann surfaces, Modern Birkh¨ auser Classics.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Buser, Geometry and spectra of compact Riemann surfaces, Modern Birkh¨ auser Classics
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:12.573628Z
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 d5127d9b-5e5b-45b9-b5a0-4c5f028d19a4 · outbound
This paper cites Huang, Asymptotic flatness of the Weil-Petersson metric on Teichm¨ uller space, Geom.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Huang, Asymptotic flatness of the Weil-Petersson metric on Teichm¨ uller space, Geom
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:12.557879Z
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 fda11b44-20e0-4750-a2d0-8ad894dd997a · outbound
This paper cites Huang, The Weil-Petersson geometry on the thick part of the moduli space of Riemann surfaces, Proc.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Huang, The Weil-Petersson geometry on the thick part of the moduli space of Riemann surfaces, Proc
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:12.542865Z
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 c6c20b9a-a218-40ab-a43a-3f877842bc0d · outbound
This paper cites Imayoshi and M.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Imayoshi and M
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:12.527727Z
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 62a8b049-bab1-4f9b-87ed-bdba438a4a52 · outbound
This paper cites an unresolved cited work.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:51:12.513001Z
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 9d98567b-b9fc-4ec2-a5e1-3ff0019adc1f · outbound
This paper cites Mirzakhani, Growth of Weil-Petersson volumes and random hyperbolic surfaces of large genus.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Mirzakhani, Growth of Weil-Petersson volumes and random hyperbolic surfaces of large genus
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:12.497785Z
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 086c9964-6d80-4efa-8754-fd4b03cbaaa2 · outbound
This paper cites Schumacher, Harmonic maps of the moduli space of compact Riemann surfaces, Math.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Schumacher, Harmonic maps of the moduli space of compact Riemann surfaces, Math
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:12.481607Z
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 66b8563e-f77d-4108-9909-3db339c23f62 · outbound
This paper cites an unresolved cited work.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:51:12.466889Z
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 1580eb39-6efb-466e-b281-ddab0e9c2a4d · outbound
This paper cites an unresolved cited work.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T14:51:12.451915Z
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 169424bf-8500-4ea6-88b2-f858fa89eca1 · outbound
This paper cites Wolf, The Weil-Petersson Hessian of length on Teichm¨ uller space,J.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Wolf, The Weil-Petersson Hessian of length on Teichm¨ uller space,J
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:12.436662Z
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 603613f3-ea72-4d5f-95d6-76e122f8dc01 · outbound
This paper cites Wolf and Y.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Wolf and Y
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:12.421576Z
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 560c265c-d65d-4a44-860c-87ae803d81fd · outbound
This paper cites Wolpert, Chern forms and the Riemann tensor for the moduli space of curves, Invent.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Wolpert, Chern forms and the Riemann tensor for the moduli space of curves, Invent
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:12.405141Z
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 20f07cec-2416-44d7-98d6-d8a349369108 · outbound
This paper cites Wolpert, Behavior of geodesic-length functions on Teichm¨ uller space,J.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Wolpert, Behavior of geodesic-length functions on Teichm¨ uller space,J
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:12.386354Z
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 bc5be397-4272-4327-8a45-749ce4cae1ba · outbound
This paper cites Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical So- ciety, Providence, RI, 2010.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Published for the Conference Board of the Mathematical Sciences, Washington, DC; by the American Mathematical So- ciety, Providence, RI, 2010
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:12.370028Z
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 970e90e3-4812-4a92-a5f8-67004b227587 · outbound
This paper cites Wolpert, Geodesic-length functions and the Weil-Petersson curvature tensor, J.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Wolpert, Geodesic-length functions and the Weil-Petersson curvature tensor, J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:12.353047Z
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 81f6742f-6da3-4937-8b0a-60d3905860da · outbound
This paper cites Wu, The Riemannian sectional curvature operator of the Weil-Petersson metric and its application, J.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Wu, The Riemannian sectional curvature operator of the Weil-Petersson metric and its application, J
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:12.336144Z
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 fc1d6cf4-d87a-4e66-9003-25da1b996173 · outbound
This paper cites Wu, On the Weil-Petersson curvature of the moduli space of Riemann surfaces of large genus, Int.
Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures Wu, On the Weil-Petersson curvature of the moduli space of Riemann surfaces of large genus, Int
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T14:51:12.319980Z
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
Observation 797f0885-6ab1-4d4b-a898-68e3f2ee2fd6 · inbound
The vanishing rate of Weil-Petersson sectional curvatures cites this paper.
The vanishing rate of Weil-Petersson sectional curvatures Uniform bounds on harmonic Beltrami differentials and Weil-Petersson curvatures
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T11:14:34.481488Z
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.