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Paper Citation Record · LEDGER

On Zoll Contact 5-Spheres

As of 13 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 0 inbound Pith citation observations for arXiv:2509.09639.

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

pith.paper-citation-record.v1
2509.09639 v1

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measured 30 of 30 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-04T19:02:05.742357Z

measured 30 of 30 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

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30 of 30 outbound references displayed

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Outbound references

Observation 37cbd651-0dae-4471-964c-54a71d5c80ac · outbound

This paper cites On the local systolic optimality of Zoll contact forms.Geometric and Functional Analysis, 33(2):299–363, 2023.

On Zoll Contact 5-Spheres On the local systolic optimality of Zoll contact forms.Geometric and Functional Analysis, 33(2):299–363, 2023

Reference 1

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source=pdf_text observed=2026-08-04T19:02:04.872382Z digest=sha256:b6dba1fbb57954138a8923f5026617eb3dc91760f03c43ead4380df9f8997268

Observation 11d65c12-f79e-4dba-8618-4a091db5f91c · outbound

This paper cites Symplectic capacities of domains close to the ball and Banach–Mazur geodesics in the space of contact forms.Duke, 174(8):1567–1646, 2025.

On Zoll Contact 5-Spheres Symplectic capacities of domains close to the ball and Banach–Mazur geodesics in the space of contact forms.Duke, 174(8):1567–1646, 2025

Reference 2

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source=pdf_text observed=2026-08-04T19:02:04.921449Z digest=sha256:c2327a661171c0e1c90630b6d11f0641e2158eb5c7c23dc7a6e8f1840f691950

Observation 25dd61c7-9b90-4eb2-b656-9eac702633a3 · outbound

This paper cites Sharp systolic inequalities for Reeb flows on the three-sphere.Inventiones mathematicae, 211(2):687–778, 2018.

On Zoll Contact 5-Spheres Sharp systolic inequalities for Reeb flows on the three-sphere.Inventiones mathematicae, 211(2):687–778, 2018

Reference 3

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Observation a56d2a53-21d4-42a7-aa20-5d06cc236ac0 · outbound

This paper cites an unresolved cited work.

On Zoll Contact 5-Spheres Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-04T19:02:05.025106Z digest=sha256:6e46798ad63bda6761779e9059588d16282a8e52d690c06aa4e26d8a303f7a20

Observation d79d736b-a000-474b-852d-a003782e950f · outbound

This paper cites Springer Science & Business Media, 1978.

On Zoll Contact 5-Spheres Springer Science & Business Media, 1978

Reference 5

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source=pdf_text observed=2026-08-04T19:02:05.066288Z digest=sha256:7bb306ce93820fb0a28d4fb26338f3b4bce6f3de9485ef34bcf887ee174639d1

Observation 48b57d5b-9846-4477-aea4-5e52c1449776 · outbound

This paper cites On contact manifolds.Annals of Mathematics, 68(3):721–734, 1958.

On Zoll Contact 5-Spheres On contact manifolds.Annals of Mathematics, 68(3):721–734, 1958

Reference 6

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Observation 25ff61c3-594e-421c-b9b4-3ca95de84dcd · outbound

This paper cites Contact homology and higher dimensional closing lemmas.Journal of Modern Dynamics, 20:67–153, 2024.

On Zoll Contact 5-Spheres Contact homology and higher dimensional closing lemmas.Journal of Modern Dynamics, 20:67–153, 2024

Reference 7

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Observation ccc8d0b4-c6a6-4515-91ce-9437505d980a · outbound

This paper cites an unresolved cited work.

On Zoll Contact 5-Spheres Unresolved cited work

Reference 8

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Observation ab3e2e36-fcb9-45c3-b334-7ec2785e245e · outbound

This paper cites On the spectral characterization of Besse and Zoll Reeb flows.Annales de l’Institut Henri Poincaré C, 38(3):549–576, 2021.

On Zoll Contact 5-Spheres On the spectral characterization of Besse and Zoll Reeb flows.Annales de l’Institut Henri Poincaré C, 38(3):549–576, 2021

Reference 9

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Observation 73130cf5-ad2d-45ae-bada-1a3a8a760395 · outbound

This paper cites AMS, 2023.

On Zoll Contact 5-Spheres AMS, 2023

Reference 10

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Observation afc632b7-f82b-41ed-ab6a-12c770b47415 · outbound

This paper cites Pseudoholomorphic curves in symplectic manifolds.Invent.

On Zoll Contact 5-Spheres Pseudoholomorphic curves in symplectic manifolds.Invent

Reference 11

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source=pdf_text observed=2026-08-04T19:02:05.207853Z digest=sha256:9b6eab6b93848d50eb41870fa86fc2d97f9c2828e7686ff66c39564586d03be3

Observation 53416f58-ce5c-4bd2-808a-fd0f75d6a71e · outbound

This paper cites The Radon transform on Zoll surfaces.Advances in Mathematics, 22(1):85–119, 1976.

On Zoll Contact 5-Spheres The Radon transform on Zoll surfaces.Advances in Mathematics, 22(1):85–119, 1976

Reference 12

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Observation 105e9190-eb2c-4590-9bb7-dde31d4f9121 · outbound

This paper cites an unresolved cited work.

On Zoll Contact 5-Spheres Unresolved cited work

Reference 13

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Observation 13f46217-a058-41a9-9ab4-caf0d2f62a04 · outbound

This paper cites Symplectic capacities from positive𝑆1–equivariant symplectic homology.

On Zoll Contact 5-Spheres Symplectic capacities from positive𝑆1–equivariant symplectic homology

Reference 14

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Observation 92adda42-1795-4939-b394-b5cd910dd4af · outbound

This paper cites The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities.

On Zoll Contact 5-Spheres The equivalence of Ekeland-Hofer and equivariant symplectic homology capacities

Reference 15

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Observation 1930edc5-5526-45da-9871-3ae058bf3aa7 · outbound

This paper cites General wall crossing formula.Mathematical Research Letters, 2:797–810, 1995.

On Zoll Contact 5-Spheres General wall crossing formula.Mathematical Research Letters, 2:797–810, 1995

Reference 16

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Observation d4b17a09-8fb6-4993-ac40-f74d663e7abf · outbound

This paper cites Some new applications of general wall crossing formula, Gompf’s conjecture and its applications.

On Zoll Contact 5-Spheres Some new applications of general wall crossing formula, Gompf’s conjecture and its applications

Reference 17

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Observation 32780b78-60d3-460a-a720-4e39f236fe4f · outbound

This paper cites The Isospectral Problem for p-widths: An Application of Zoll Metrics.

On Zoll Contact 5-Spheres The Isospectral Problem for p-widths: An Application of Zoll Metrics

Reference 18

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Observation ab2733ff-55c4-49a0-a5e5-463eb37f8d0a · outbound

This paper cites On the structure of besse convex contact spheres.Transactions of the AMS, 376(03):2125–2153, 2023.

On Zoll Contact 5-Spheres On the structure of besse convex contact spheres.Transactions of the AMS, 376(03):2125–2153, 2023

Reference 19

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Observation 83ca4677-7649-4c6e-be77-a6ab12990012 · outbound

This paper cites Oxford University Press, 2017.

On Zoll Contact 5-Spheres Oxford University Press, 2017

Reference 20

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Observation b45ed397-bf59-4698-9854-4b2c0653d46e · outbound

This paper cites Symplectic 4-manifolds with b 2+= 1.Geometry and Physics, pages 237–244, 2021.

On Zoll Contact 5-Spheres Symplectic 4-manifolds with b 2+= 1.Geometry and Physics, pages 237–244, 2021

Reference 21

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Observation 58978d8d-725d-4ab9-87c3-a1c67f6a9717 · outbound

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On Zoll Contact 5-Spheres Unresolved cited work

Reference 22

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Observation af858d89-6186-4e18-b50c-2c3bf06052aa · outbound

This paper cites Contact homology and virtual fundamental cycles.JAMS, 32(3):825–919, 2019.

On Zoll Contact 5-Spheres Contact homology and virtual fundamental cycles.JAMS, 32(3):825–919, 2019

Reference 23

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Observation 677eccb5-fb04-4336-8b4c-c1f5b2ea8a45 · outbound

This paper cites ETH, 2000.

On Zoll Contact 5-Spheres ETH, 2000

Reference 24

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Observation 5e266c9c-b935-4904-b487-53c4a3474c9c · outbound

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On Zoll Contact 5-Spheres Unresolved cited work

Reference 25

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Observation f18914a3-f60e-434b-bb15-00bea20778d6 · outbound

This paper cites Seiberg-Witten and Gromov invariants.

On Zoll Contact 5-Spheres Seiberg-Witten and Gromov invariants

Reference 26

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source=pdf_text observed=2026-08-04T19:02:05.617974Z digest=sha256:00eb231299c2710d461c978afa1e72137c48a8ed10522566475373f1e5672a59

Observation bdae0df7-fd1b-4e5d-a956-e96180f61df3 · outbound

This paper cites On the volume of manifolds all of whose geodesics are closed.JDG, 9(4):513–517, 1974.

On Zoll Contact 5-Spheres On the volume of manifolds all of whose geodesics are closed.JDG, 9(4):513–517, 1974

Reference 27

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source=pdf_text observed=2026-08-04T19:02:05.651586Z digest=sha256:71a0d230483d2c9073c2683159a7695144356817660a6f066ba7dfa9b6029ce3

Observation 8b6fd789-8821-41d3-a346-448b8f6b5dc2 · outbound

This paper cites Symplectic v-manifolds, periodic orbits of Hamiltonian systems, and the volume of certain Riemannian manifolds.Communications on Pure and Applied Mathematics, 30(2):265–271, 1977.

On Zoll Contact 5-Spheres Symplectic v-manifolds, periodic orbits of Hamiltonian systems, and the volume of certain Riemannian manifolds.Communications on Pure and Applied Mathematics, 30(2):265–271, 1977

Reference 28

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Observation e2da827e-6d3a-49a2-b7e9-0dfb9802abbe · outbound

This paper cites Fine structure of Zoll spectra.journal of functional analysis, 143(2):415–460, 1997.

On Zoll Contact 5-Spheres Fine structure of Zoll spectra.journal of functional analysis, 143(2):415–460, 1997

Reference 29

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Observation 9ff3f5d0-3e5e-4b76-8153-c960a12d9eb0 · outbound

This paper cites Dieterich, 1901.

On Zoll Contact 5-Spheres Dieterich, 1901

Reference 30

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