Paper Citation Record · LEDGER

Systolic inequalities on the sphere from symplectic embeddings

As of 8 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2506.07674.

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

pith.paper-citation-record.v1
2506.07674 v1

Coverage vector

measured 35 of 35 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T05:44:17.865942Z

measured 35 of 35 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

35 of 35 outbound references displayed

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verified fuzzy30
unresolved4
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External citation measurements

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Outbound references

Observation 610416f0-2cab-4627-ab6e-a81cefb1cfe4 · outbound

This paper cites Entropy collapse versus entropy rigidity for Reeb and Finsler flows.

Systolic inequalities on the sphere from symplectic embeddings Entropy collapse versus entropy rigidity for Reeb and Finsler flows

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:28.525311Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a2d93ef6-4760-4d5c-85c6-ec404def09cb · outbound

This paper cites A systolic inequality for geodesic flows on the two-sphere.

Systolic inequalities on the sphere from symplectic embeddings A systolic inequality for geodesic flows on the two-sphere

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:28.349214Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fe98ca13-9f55-4e44-94d8-061133a64ecf · outbound

This paper cites Sharp systolic inequalities for Riemannian and Finsler spheres of revolution.

Systolic inequalities on the sphere from symplectic embeddings Sharp systolic inequalities for Riemannian and Finsler spheres of revolution

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:28.152842Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b11d4786-da01-4bd0-a66b-5d0c741b839d · outbound

This paper cites On closed characteristics of minimal action on a convex three-sphere.

Systolic inequalities on the sphere from symplectic embeddings On closed characteristics of minimal action on a convex three-sphere

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T05:44:13.342224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f0ce6d23-1e2f-41c0-8014-1a1408c02444 · outbound

This paper cites Floer homologies, with applications.

Systolic inequalities on the sphere from symplectic embeddings Floer homologies, with applications

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:28.026255Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 703d2b35-cfd2-4435-a0d9-b929a5312b25 · outbound

This paper cites Some nonlinear problems in Riemannian geometry.

Systolic inequalities on the sphere from symplectic embeddings Some nonlinear problems in Riemannian geometry

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:27.867134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 592ed2e6-ac85-4e9a-a0c6-d421d14ea409 · outbound

This paper cites The length of the shortest closed geodesic on positively curved 2-spheres.

Systolic inequalities on the sphere from symplectic embeddings The length of the shortest closed geodesic on positively curved 2-spheres

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:27.704906Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 3b213f0d-af42-44fd-8d64-b681054d3695 · outbound

This paper cites Discrete and continuous Green energy on compact manifolds.

Systolic inequalities on the sphere from symplectic embeddings Discrete and continuous Green energy on compact manifolds

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:27.571220Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 10aa89bc-c705-46b1-8bdc-487172ea3442 · outbound

This paper cites Simple closed geodesics on convex surfaces.

Systolic inequalities on the sphere from symplectic embeddings Simple closed geodesics on convex surfaces

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:27.429142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a8c866bb-a711-44e8-942a-65c1046f0ea1 · outbound

This paper cites Symplectic embeddings from concave toric domains into convex ones.

Systolic inequalities on the sphere from symplectic embeddings Symplectic embeddings from concave toric domains into convex ones

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:27.282326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 870e2dc3-5695-4bb9-9cb4-c2dca5687b91 · outbound

This paper cites The scalar curvature equation on 2-and 3-spheres.

Systolic inequalities on the sphere from symplectic embeddings The scalar curvature equation on 2-and 3-spheres

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:27.140086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 977a78c2-f1f7-4fdb-8172-dd3db64c1111 · outbound

This paper cites On Nirenberg’s problem.

Systolic inequalities on the sphere from symplectic embeddings On Nirenberg’s problem

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:26.497448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation eea0a796-6724-44f3-a19a-51a5968b1f48 · outbound

This paper cites Area and the length of the shortest closed geodesic.

Systolic inequalities on the sphere from symplectic embeddings Area and the length of the shortest closed geodesic

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:26.060224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 72dd7d6b-f76b-4df4-84e9-fd6cd8e31ccc · outbound

This paper cites Prescribing Gaussian curvature on S^2.

Systolic inequalities on the sphere from symplectic embeddings Prescribing Gaussian curvature on S^2

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:25.896847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 66634516-8796-4632-84f4-8ab632befe53 · outbound

This paper cites A perturbation result in prescribing scalar curvature on S^n.

Systolic inequalities on the sphere from symplectic embeddings A perturbation result in prescribing scalar curvature on S^n

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:25.735895Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b50f5e75-87f9-45a1-887d-2cd18cc6582e · outbound

This paper cites o rner, Hansj \.

Systolic inequalities on the sphere from symplectic embeddings o rner, Hansj \

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:23.494377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation dd688aa2-30d9-448c-9929-af25053f08a5 · outbound

This paper cites Convexity methods in Hamiltonian mechanics , volume 19.

Systolic inequalities on the sphere from symplectic embeddings Convexity methods in Hamiltonian mechanics , volume 19

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:23.210808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation e705173b-0297-40be-ba6f-0feb951cbb0f · outbound

This paper cites Elliptic Reeb orbit on some real projective three-spaces via ECH.

Systolic inequalities on the sphere from symplectic embeddings Elliptic Reeb orbit on some real projective three-spaces via ECH

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:22.884601Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0aeff440-7bf8-4b20-aaf5-02a14fb852f2 · outbound

This paper cites an unresolved cited work.

Systolic inequalities on the sphere from symplectic embeddings Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T05:44:22.629009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b4909d80-97b1-4315-a27e-40742901c9b1 · outbound

This paper cites Gromov width of the disk cotangent bundle of spheres of revolution.

Systolic inequalities on the sphere from symplectic embeddings Gromov width of the disk cotangent bundle of spheres of revolution

Reference 20

Resolution: verified exact; raw_fallback, observed 2026-08-07T05:44:18.333408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 05639eb7-0e94-4d60-9cf7-d01f928d7664 · outbound

This paper cites Harmonic analysis on spheres.

Systolic inequalities on the sphere from symplectic embeddings Harmonic analysis on spheres

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:22.326212Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 701dfbec-1483-4c46-ac99-0c67fb494627 · outbound

This paper cites Quatre propri \'e t \'e s isop \'e rim \'e triques de membranes sph \'e riques homogenes.

Systolic inequalities on the sphere from symplectic embeddings Quatre propri \'e t \'e s isop \'e rim \'e triques de membranes sph \'e riques homogenes

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:22.063336Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d4a58a75-3042-4f51-830f-259b847a32cb · outbound

This paper cites Introdu c \ a o \`a geometria F insler.

Systolic inequalities on the sphere from symplectic embeddings Introdu c \ a o \`a geometria F insler

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:21.782979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ab4a3f65-10f7-445b-99c4-96d8ccc2f422 · outbound

This paper cites An elementary alternative to ECH capacities.

Systolic inequalities on the sphere from symplectic embeddings An elementary alternative to ECH capacities

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:21.509608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ee68c81e-cc2d-43b3-8380-fa0212df7728 · outbound

This paper cites Riemannian geometry , volume 1.

Systolic inequalities on the sphere from symplectic embeddings Riemannian geometry , volume 1

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:21.238127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 409f52c8-570f-4ebb-b8c7-01d9033df9b4 · outbound

This paper cites Curvature functions for compact 2-manifolds.

Systolic inequalities on the sphere from symplectic embeddings Curvature functions for compact 2-manifolds

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-07T05:44:16.600627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15c3d060-2743-4a94-937f-dbdb3acb1a44 · outbound

This paper cites Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures.

Systolic inequalities on the sphere from symplectic embeddings Existence and conformal deformation of metrics with prescribed Gaussian and scalar curvatures

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:20.929548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 79ae85ff-12ab-411a-90e2-b8cdfd333a70 · outbound

This paper cites Local non-squeezing theorems and stability.

Systolic inequalities on the sphere from symplectic embeddings Local non-squeezing theorems and stability

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:20.533105Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f9fbe922-8649-4197-93ee-c3c3283ba56f · outbound

This paper cites On a nonlinear problem in differential geometry.

Systolic inequalities on the sphere from symplectic embeddings On a nonlinear problem in differential geometry

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:20.213842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8de50f91-eb2e-4108-a7f9-b56880a37b28 · outbound

This paper cites Extremals of determinants of Laplacians.

Systolic inequalities on the sphere from symplectic embeddings Extremals of determinants of Laplacians

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:19.889155Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 045a2fa4-2151-4fc5-9926-7683b5a56914 · outbound

This paper cites On certain L agrangian submanifolds of S^2 S^2 and C P ^n.

Systolic inequalities on the sphere from symplectic embeddings On certain L agrangian submanifolds of S^2 S^2 and C P ^n

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:19.579733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 16bb7317-2240-4b82-87ab-145976368858 · outbound

This paper cites The length of a shortest closed geodesic and the area of a 2-dimensional sphere.

Systolic inequalities on the sphere from symplectic embeddings The length of a shortest closed geodesic and the area of a 2-dimensional sphere

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:19.287557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 212675c9-92eb-4150-b93c-2c78c36b5e90 · outbound

This paper cites Introduction to Fourier analysis on Euclidean spaces , volume 1.

Systolic inequalities on the sphere from symplectic embeddings Introduction to Fourier analysis on Euclidean spaces , volume 1

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:18.926637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c6e1321c-fcdd-48cb-a961-e709baac2e65 · outbound

This paper cites The Seiberg--Witten equations and the Weinstein conjecture.

Systolic inequalities on the sphere from symplectic embeddings The Seiberg--Witten equations and the Weinstein conjecture

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T05:44:18.627392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fba12857-1583-4c1b-b807-e9fa29da6f2d · outbound

This paper cites Sharp systolic inequalities for invariant tight contact forms on principal S1-bundles over S2.

Systolic inequalities on the sphere from symplectic embeddings Sharp systolic inequalities for invariant tight contact forms on principal S1-bundles over S2

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-07T05:44:17.865942Z

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Unavailable: canonical work link unavailable.

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