Paper Citation Record · LEDGER

Shortest filling geodesics on hyperbolic surfaces

As of 19 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2506.12465.

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

pith.paper-citation-record.v1
2506.12465 v1

Coverage vector

measured 39 of 39 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T00:58:35.811990Z

measured 39 of 39 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

39 of 39 outbound references displayed

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External citation measurements

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Outbound references

Observation 2792b2ef-6a2d-42a0-8797-931eaac3d642 · outbound

This paper cites Minimally intersecting filling pairs on surfaces.

Shortest filling geodesics on hyperbolic surfaces Minimally intersecting filling pairs on surfaces

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:44.060070Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 6e695dc1-0671-403a-8f11-026c395b1686 · outbound

This paper cites Small filling sets of curves on a surface.

Shortest filling geodesics on hyperbolic surfaces Small filling sets of curves on a surface

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:43.842059Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 63b4cab2-700a-48dc-93fc-1757e789a348 · outbound

This paper cites The geometry and combinatorics of closed geodesics on hyperbolic surfaces.

Shortest filling geodesics on hyperbolic surfaces The geometry and combinatorics of closed geodesics on hyperbolic surfaces

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:43.655502Z

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Observation dfbded06-f78c-4439-851f-7e11f54d70c1 · outbound

This paper cites Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II.

Shortest filling geodesics on hyperbolic surfaces Friedman-Ramanujan functions in random hyperbolic geometry and application to spectral gaps II

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T00:58:31.299319Z

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Unavailable: canonical work link unavailable.

Observation 088867fa-e001-46fa-93a8-2697f68545b7 · outbound

This paper cites Closed geodesics on pairs of pants.

Shortest filling geodesics on hyperbolic surfaces Closed geodesics on pairs of pants

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:43.482492Z

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Observation 8c704317-117b-4ddb-bfcd-fbfa7d1202ee · outbound

This paper cites The stable neighborhood theorem and lengths of closed geodesics.

Shortest filling geodesics on hyperbolic surfaces The stable neighborhood theorem and lengths of closed geodesics

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:43.241929Z

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Observation 58736217-add1-42b7-b85a-d1f43e2793d0 · outbound

This paper cites Universal length bounds for non-simple closed geodesics on hyperbolic surfaces.

Shortest filling geodesics on hyperbolic surfaces Universal length bounds for non-simple closed geodesics on hyperbolic surfaces

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:42.972129Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bed2bf34-8c21-4751-844d-4c6a367f4774 · outbound

This paper cites The shortest non-simple closed geodesics on hyperbolic surfaces.

Shortest filling geodesics on hyperbolic surfaces The shortest non-simple closed geodesics on hyperbolic surfaces

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:42.800608Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ea1bd418-8470-4d5c-9bf4-be3cdabc8a2a · outbound

This paper cites La systole des surfaces hyperelliptiques.

Shortest filling geodesics on hyperbolic surfaces La systole des surfaces hyperelliptiques

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:42.590499Z

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Observation 05cf3b4d-082e-44f4-b7dd-53327657d410 · outbound

This paper cites Ein elementarer Beweis f¨ ur die isoperimetrische Ungleichung in der Euklidischen und hyperbolis- chen Ebene.

Shortest filling geodesics on hyperbolic surfaces Ein elementarer Beweis f¨ ur die isoperimetrische Ungleichung in der Euklidischen und hyperbolis- chen Ebene

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:42.392817Z

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Observation 7c56aacd-7f16-474d-9f2d-91447b36faeb · outbound

This paper cites Injectivity radius and low eigenvalues of hyperbolic manifolds.

Shortest filling geodesics on hyperbolic surfaces Injectivity radius and low eigenvalues of hyperbolic manifolds

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:42.097484Z

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Observation ff44759e-5f6f-4b08-a3aa-b9277254a595 · outbound

This paper cites On the period matrix of a Riemann surface of large genus.

Shortest filling geodesics on hyperbolic surfaces On the period matrix of a Riemann surface of large genus

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:41.807538Z

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Observation d005127d-2e3f-4b4e-8eb1-8a4b96165945 · outbound

This paper cites A construction of minimal coherent filling pairs.

Shortest filling geodesics on hyperbolic surfaces A construction of minimal coherent filling pairs

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:58:36.899633Z

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Observation f5e6817c-3c50-44f3-8be4-8ab43b24af3c · outbound

This paper cites Counting geodesics on expander surfaces.

Shortest filling geodesics on hyperbolic surfaces Counting geodesics on expander surfaces

Reference 14

Resolution: verified exact; raw_fallback, observed 2026-08-07T00:58:36.660961Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation b2514c2a-ed40-4ca2-836f-370a7d7bdd24 · outbound

This paper cites Short closed geodesics with self-intersections.

Shortest filling geodesics on hyperbolic surfaces Short closed geodesics with self-intersections

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:41.560303Z

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Observation 2be1534f-1028-48c3-9b15-dfae60bf453a · outbound

This paper cites Linear programming bounds for hyperbolic surfaces.

Shortest filling geodesics on hyperbolic surfaces Linear programming bounds for hyperbolic surfaces

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T00:58:32.696147Z

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Unavailable: canonical work link unavailable.

Observation 952de523-9a09-4e6d-aa3e-6be182f22b2c · outbound

This paper cites A short proof of a conjecture of Aougab-Huang.

Shortest filling geodesics on hyperbolic surfaces A short proof of a conjecture of Aougab-Huang

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:41.272689Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation bd9f90b8-d0b2-4eac-9705-0eee4902ef38 · outbound

This paper cites Traces, lengths, and simplicity for loops on surfaces.

Shortest filling geodesics on hyperbolic surfaces Traces, lengths, and simplicity for loops on surfaces

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:41.032201Z

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Observation 02205532-1607-49c9-a7f8-df0cf8ce5b60 · outbound

This paper cites Logarithmic systolic growth for hyperbolic surfaces in every genus.

Shortest filling geodesics on hyperbolic surfaces Logarithmic systolic growth for hyperbolic surfaces in every genus

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:40.794025Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 84d6af7d-3da5-407b-9336-09192d73238d · outbound

This paper cites Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups.

Shortest filling geodesics on hyperbolic surfaces Logarithmic growth of systole of arithmetic Riemann surfaces along congruence subgroups

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:40.547047Z

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Observation c09ca042-93b5-4c37-a64f-d9c68e4a82e3 · outbound

This paper cites The nielsen realization problem.

Shortest filling geodesics on hyperbolic surfaces The nielsen realization problem

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:40.301346Z

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Observation ee04db12-4b51-45df-b7cf-f566be522a05 · outbound

This paper cites an unresolved cited work.

Shortest filling geodesics on hyperbolic surfaces Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T00:58:40.036504Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2a6625b1-a813-4ea9-92fe-1a084b183613 · outbound

This paper cites Random surfaces with large systoles.

Shortest filling geodesics on hyperbolic surfaces Random surfaces with large systoles

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T00:58:33.704983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09d673b9-589b-4e6d-b4ec-836cb77375db · outbound

This paper cites Annals of Probability, Volume 52, Number 2, 545–575, 2024.

Shortest filling geodesics on hyperbolic surfaces Annals of Probability, Volume 52, Number 2, 545–575, 2024

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:39.826270Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 738ec5dc-6c48-49dd-9c14-035ccfc1e20d · outbound

This paper cites Geometry of the complex of curves.

Shortest filling geodesics on hyperbolic surfaces Geometry of the complex of curves

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:39.604349Z

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Observation 32512935-680d-4bd0-9d78-fec4decc0494 · outbound

This paper cites Geometry of the complex of curves.

Shortest filling geodesics on hyperbolic surfaces Geometry of the complex of curves

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:39.436103Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation cfe2ab3c-c1ae-4589-a435-b81a059e1a60 · outbound

This paper cites A remark on Mahler’s compactness theorem.

Shortest filling geodesics on hyperbolic surfaces A remark on Mahler’s compactness theorem

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:39.204838Z

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Observation 30528e45-2e94-4340-a346-8f53c37043cd · outbound

This paper cites Connected-sum decompositions of surfaces with minimally-intersecting filling pairs.

Shortest filling geodesics on hyperbolic surfaces Connected-sum decompositions of surfaces with minimally-intersecting filling pairs

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:39.027147Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7ffb1e0d-8bd4-4847-86c1-b31e27e076be · outbound

This paper cites A conjecture on the lengths of filling pairs.

Shortest filling geodesics on hyperbolic surfaces A conjecture on the lengths of filling pairs

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:38.802445Z

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Observation 02a47dc9-df69-4829-ac99-f4aee59adad4 · outbound

This paper cites Systoles and topological Morse functions for Riemann surfaces.

Shortest filling geodesics on hyperbolic surfaces Systoles and topological Morse functions for Riemann surfaces

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:38.575796Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation ba5c5c1a-84f2-4db4-8ca0-d8b7a96de6ce · outbound

This paper cites Nonsimple closed geodesics with given intersection number on hyperbolic surfaces.

Shortest filling geodesics on hyperbolic surfaces Nonsimple closed geodesics with given intersection number on hyperbolic surfaces

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:58:36.251842Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8b2d1a96-5848-42b4-879b-b55ccf36e777 · outbound

This paper cites Minimal length of nonsimple closed geodesics on hyperbolic surfaces.

Shortest filling geodesics on hyperbolic surfaces Minimal length of nonsimple closed geodesics on hyperbolic surfaces

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:58:35.998427Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0cd42295-8c07-42f2-b2f0-6e5644f42e36 · outbound

This paper cites A spine for Teichm¨ uller space.

Shortest filling geodesics on hyperbolic surfaces A spine for Teichm¨ uller space

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:38.373131Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fa378819-3f2c-48c1-b542-d9fd5b000fae · outbound

This paper cites On the geometry and dynamics of diffeomorphisms of surfaces.

Shortest filling geodesics on hyperbolic surfaces On the geometry and dynamics of diffeomorphisms of surfaces

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:38.118648Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 015e8bb9-8f4b-46f8-9b63-239bf12c8281 · outbound

This paper cites Short closed geodesics on cusped hyperbolic surfaces.

Shortest filling geodesics on hyperbolic surfaces Short closed geodesics on cusped hyperbolic surfaces

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:37.907854Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2844a029-368c-4e90-873b-d7e0c82f573d · outbound

This paper cites Random hyperbolic surfaces of large genus have first eigenvalues greater than 3 16 − ϵ.

Shortest filling geodesics on hyperbolic surfaces Random hyperbolic surfaces of large genus have first eigenvalues greater than 3 16 − ϵ

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:37.690346Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1d21cef3-a939-4a50-80ed-8f823aaae083 · outbound

This paper cites Prime geodesic theorem and closed geodesics for large genus.Journal of the European Mathematical Society, doi:10.4171/JEMS/1653, 2025.

Shortest filling geodesics on hyperbolic surfaces Prime geodesic theorem and closed geodesics for large genus.Journal of the European Mathematical Society, doi:10.4171/JEMS/1653, 2025

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-07T00:58:35.530818Z

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Unavailable: canonical work link unavailable.

Observation 94df3edb-6d5b-4bd9-a26d-e13d6ee5b143 · outbound

This paper cites Length minima for an infinite family of filling closed curves on a one-holed torus.

Shortest filling geodesics on hyperbolic surfaces Length minima for an infinite family of filling closed curves on a one-holed torus

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:37.443236Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 94297dae-c2e8-4efb-b602-839473f801fb · outbound

This paper cites On Marden’s universal constant of Fuchsian groups, II.

Shortest filling geodesics on hyperbolic surfaces On Marden’s universal constant of Fuchsian groups, II

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T00:58:37.153077Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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