Paper Citation Record · LEDGER

Behaviour of the Schwarzian derivative on long complex projective tubes

As of 9 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2502.10071.

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

pith.paper-citation-record.v1
2502.10071 v1

Coverage vector

measured 32 of 32 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T19:37:53.237449Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+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

32 of 32 outbound references displayed

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verified fuzzy24
unresolved6
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External citation measurements

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Outbound references

Observation 695932f4-6256-4f27-9dc0-63b8054f5ae6 · outbound

This paper cites Tameness of hyperbolic 3-manifolds.

Behaviour of the Schwarzian derivative on long complex projective tubes Tameness of hyperbolic 3-manifolds

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T19:37:53.041641Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e28d3a23-e4d4-4fd3-a58b-8fd7e1306fe9 · outbound

This paper cites Epstein surfaces, w -volume, and the osgood-stowe differential.

Behaviour of the Schwarzian derivative on long complex projective tubes Epstein surfaces, w -volume, and the osgood-stowe differential

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:54.238026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 5048b6b7-4a12-4df1-9d7f-e94d5af045ac · outbound

This paper cites Schwarzian derivatives, projective structures, and the weil--petersson gradient flow for renormalized volume.

Behaviour of the Schwarzian derivative on long complex projective tubes Schwarzian derivatives, projective structures, and the weil--petersson gradient flow for renormalized volume

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:54.220294Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 65a8c469-3f95-4aa6-8439-f03e54f6791c · outbound

This paper cites Schwarzian derivatives, projective structures, and the W eil- P etersson gradient flow for renormalized volume.

Behaviour of the Schwarzian derivative on long complex projective tubes Schwarzian derivatives, projective structures, and the W eil- P etersson gradient flow for renormalized volume

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:54.203104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 34acaed3-2194-4716-8f87-1cdc2fd9690f · outbound

This paper cites The W eil- P etersson gradient flow of renormalized volume and 3-dimensional convex cores.

Behaviour of the Schwarzian derivative on long complex projective tubes The W eil- P etersson gradient flow of renormalized volume and 3-dimensional convex cores

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:54.187360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 52a9b695-b71b-4a8b-851b-a36ea55ed58e · outbound

This paper cites Convergence of the gradient flow of renormalized volume to convex cores with totally geodesic boundary.

Behaviour of the Schwarzian derivative on long complex projective tubes Convergence of the gradient flow of renormalized volume to convex cores with totally geodesic boundary

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:54.170473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a1eb8baf-745c-4980-a510-efbb89d6db7f · outbound

This paper cites an unresolved cited work.

Behaviour of the Schwarzian derivative on long complex projective tubes Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T19:37:54.141368Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 18e092ab-aa26-47b9-a4e0-2ccc66f1e95a · outbound

This paper cites Einstein Manifolds.

Behaviour of the Schwarzian derivative on long complex projective tubes Einstein Manifolds

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:54.089764Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7fe19bd0-89c2-418b-a3a5-28c220f6c978 · outbound

This paper cites a user Classics. Birkh\.

Behaviour of the Schwarzian derivative on long complex projective tubes a user Classics. Birkh\

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T19:37:53.103315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 32eedd08-f53b-4ee6-8b14-29057ed08d8a · outbound

This paper cites an unresolved cited work.

Behaviour of the Schwarzian derivative on long complex projective tubes Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T19:37:54.030576Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 77351437-d9b2-4799-9c4b-aa88897587ce · outbound

This paper cites Shrinkwrapping and the taming of hyperbolic 3-manifolds.

Behaviour of the Schwarzian derivative on long complex projective tubes Shrinkwrapping and the taming of hyperbolic 3-manifolds

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:53.966689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 77432b9f-2184-42fd-a857-171b82657382 · outbound

This paper cites Asymptotic behavior of grafting rays.

Behaviour of the Schwarzian derivative on long complex projective tubes Asymptotic behavior of grafting rays

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:53.901591Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ea598d13-dc2e-466a-960a-816934512af1 · outbound

This paper cites Complex projective structures.

Behaviour of the Schwarzian derivative on long complex projective tubes Complex projective structures

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:53.828021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 532e8b58-30d3-412c-97ee-03a9575d9b92 · outbound

This paper cites Projective structures, grafting and measured laminations.

Behaviour of the Schwarzian derivative on long complex projective tubes Projective structures, grafting and measured laminations

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:53.775830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e424422f-17de-40ad-902a-397bc6e59234 · outbound

This paper cites Primer on Mapping Class Groups.

Behaviour of the Schwarzian derivative on long complex projective tubes Primer on Mapping Class Groups

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:53.759620Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c055f332-5307-41b1-9319-97406e4a4b5a · outbound

This paper cites Gardiner.

Behaviour of the Schwarzian derivative on long complex projective tubes Gardiner

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:53.742568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c77c7874-2b00-42a7-bbe3-c56a74d83e82 · outbound

This paper cites Quasiconformal Teichm\"uller Theory , volume 76 of Mathematical Surveys and Monographs.

Behaviour of the Schwarzian derivative on long complex projective tubes Quasiconformal Teichm\"uller Theory , volume 76 of Mathematical Surveys and Monographs

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:53.726491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 694a2e6e-f43a-4434-b3e8-a87b315260f5 · outbound

This paper cites an unresolved cited work.

Behaviour of the Schwarzian derivative on long complex projective tubes Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T19:37:53.710469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 40bd7643-c120-472d-bbfd-f6d924019710 · outbound

This paper cites Teichm \"u ller theory and applications to geometry, topology, and dynamics , volume 1-2.

Behaviour of the Schwarzian derivative on long complex projective tubes Teichm \"u ller theory and applications to geometry, topology, and dynamics , volume 1-2

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:53.694368Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a246b726-7139-4193-929a-8b30eaef9d20 · outbound

This paper cites Kra and B.

Behaviour of the Schwarzian derivative on long complex projective tubes Kra and B

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:53.667631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d351e00b-5f03-4050-9f36-ba8e90703432 · outbound

This paper cites On the renormalized volume of hyperbolic 3-manifolds.

Behaviour of the Schwarzian derivative on long complex projective tubes On the renormalized volume of hyperbolic 3-manifolds

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:53.613152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a98f7e3b-52ef-434e-ad09-29c4cbdf4305 · outbound

This paper cites Hyperbolic Manifolds: An introduction in 2 and 3 dimensions.

Behaviour of the Schwarzian derivative on long complex projective tubes Hyperbolic Manifolds: An introduction in 2 and 3 dimensions

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:53.564206Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 92e08727-7665-4a11-b103-1bf29a6168f1 · outbound

This paper cites An Introduction to Geometric Topology.

Behaviour of the Schwarzian derivative on long complex projective tubes An Introduction to Geometric Topology

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T19:37:53.179997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58413cb1-2ff3-49bd-be88-7224367a492b · outbound

This paper cites Complex earthquakes and teichm\"uller theory.

Behaviour of the Schwarzian derivative on long complex projective tubes Complex earthquakes and teichm\"uller theory

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:53.519328Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3e312045-9e92-4092-994c-01e54e5eba0a · outbound

This paper cites Hyperbolic Menifolds and Kleinian Groups.

Behaviour of the Schwarzian derivative on long complex projective tubes Hyperbolic Menifolds and Kleinian Groups

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:53.500227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 08dfcdad-58e6-485f-9d43-2d2245b03b46 · outbound

This paper cites The schwarzian derivative and schlicht functions.

Behaviour of the Schwarzian derivative on long complex projective tubes The schwarzian derivative and schlicht functions

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:53.482464Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation daf0e6b2-0944-49d5-a4fc-0adeecf3cf7e · outbound

This paper cites The schwarzian derivative and conformal mapping of riemannian manifolds.

Behaviour of the Schwarzian derivative on long complex projective tubes The schwarzian derivative and conformal mapping of riemannian manifolds

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:53.466267Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d07f38f6-cae5-4c8a-abff-0ea820ae7f2b · outbound

This paper cites Continuity of the renormalized volume under geometric limits.

Behaviour of the Schwarzian derivative on long complex projective tubes Continuity of the renormalized volume under geometric limits

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-07T19:37:53.368733Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation df1b0bfd-c9e7-46aa-ba1f-173ac416cb8d · outbound

This paper cites Hypersurfaces in H n and the space of its horospheres.

Behaviour of the Schwarzian derivative on long complex projective tubes Hypersurfaces in H n and the space of its horospheres

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:53.449553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 2fa08e05-8bab-4a2b-8e2e-9c67edc1e19f · outbound

This paper cites The renormalized volume and the volume of the convex core of quasifuchsian manifolds.

Behaviour of the Schwarzian derivative on long complex projective tubes The renormalized volume and the volume of the convex core of quasifuchsian manifolds

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-07T19:37:53.304400Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 394cbdb5-4e7c-4dd4-a723-dc806063c3dc · outbound

This paper cites Notes on the Schwarzian tensor and measured foliations at infinity of quasifuchsian manifolds.

Behaviour of the Schwarzian derivative on long complex projective tubes Notes on the Schwarzian tensor and measured foliations at infinity of quasifuchsian manifolds

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:53.432732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b41142a6-fd03-4acd-9942-4c26d9a87285 · outbound

This paper cites No ensemble averaging below the black hole threshold.

Behaviour of the Schwarzian derivative on long complex projective tubes No ensemble averaging below the black hole threshold

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T19:37:53.415553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

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