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Paper Citation Record · LEDGER

Systolic inequalities on the sphere from symplectic embeddings

As of 23 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2506.07674.

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pith.paper-citation-record.v1
2506.07674 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

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

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

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Source: cited_works

Reference resolution

35 of 35 outbound references displayed

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  • verified fuzzy30
  • unresolved4
  • parse uncertain0
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External citation measurements

No source-named external measurement is stored.

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:12.923975Z digest=sha256:9746d00a3b8303a77fe3f6b9599be3c5cf0056c32700c960c345e44382f22a7a

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:13.010234Z digest=sha256:fcbf11dfac76bb2d21911c77d4f84f78c9dc1314b9b338161bbd8dd9843dda2a

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
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raw_fallback, observed 2026-08-07T05:44:28.152842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:13.155079Z digest=sha256:78148653ccaad2276832b028220284dd8ae91b860c041f8f374aba68926f72b8

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.

source=arxiv_source observed=2026-08-07T05:44:13.342224Z digest=sha256:e61ff5a14c1f1c90213fcd8f051391272ac269a5366511ea3f3859a949e9cc65

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:13.616672Z digest=sha256:d3ddce5bc7ff7a5a1d3129e7c8a77d34c21bee3ae5c7a3b65aa77d69000185ca

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:13.726462Z digest=sha256:959552b29b1d1559cfed12ba6aa76e8e40a8c6088c94a17136e4b57ff24e008a

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:13.923453Z digest=sha256:3328776ff0edb7827eb29cf705ba5492c8413693d0067c9b355cc5311f47c066

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:14.042563Z digest=sha256:4f814c111ea0933c1555f9f9391b38faf9db056891dd904456715d8cde526f77

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

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:14.205907Z digest=sha256:c287379c2f4267b2dfda26834a1a25609a87c86b5f0ab3efd12cfae5f7468072

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:14.406759Z digest=sha256:d3e9b07edbf2e764b06cd9c356e5219c12b6ac403ed4db63737786c104115ce2

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:14.659519Z digest=sha256:79c1f05e97ff7fab9ec3684677c1c8c727c9e6a42ebeaeecb97ef9e5b61b5dd8

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:14.814532Z digest=sha256:51a918352df8aded6d1a73d3f993b86bdcb23a559780ee8a2c05ff702c04ce6f

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:14.981356Z digest=sha256:285403c5bcd33f8ed94244101c7de823c12f459b41bdd1f40cfa0550e8987fde

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:15.117058Z digest=sha256:c2bb4e5ce9eb11c710ffd2e2f27157eb3ed40d4731628827e65c5e8ba366da7a

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:15.311957Z digest=sha256:f0e410d708d5f9de128e4175ae3382fe5b3b2b56554dd1e49dac22633128bd57

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:15.419007Z digest=sha256:876ad26b9366a0e2fc0b84ff7afdccdd6d79a3b27a1e871a8be44283cc8c0c6d

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:15.570938Z digest=sha256:9935097d67ddf8ee31efd0beb97f7c10e894acfb9e0724e618c20d5ce8ecdc78

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:15.732916Z digest=sha256:d3c1fb6ce0b68933786acb2d1b116aa1811415f75fa43abaf1d79414d01a1d02

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:15.905331Z digest=sha256:e74cbc8162de132e377563cca690da09327088f0f0aef3e2a6886b0ac4f6cdd2

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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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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
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:16.198508Z digest=sha256:b9e1dff513919248d4f55eaaaf7e2ff750c237bee51248c4efbce57934bc35d9

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
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No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:16.335121Z digest=sha256:4ef2482e43840886e39c11262031487c15e5dba7e860d5462bf994a7cbafbc60

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
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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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:16.500073Z digest=sha256:142231210d059fbb63d0fb6baba3a24709414547cb3811cad7823caeaed5c10c

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.

source=arxiv_source observed=2026-08-07T05:44:16.600627Z digest=sha256:69f9d1d2441937a8fe3e140db836bf1819884b70bafe74cd65f121bcf8ec43c4

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:16.749040Z digest=sha256:1626432d7cb3f843f4c1b8f743c93d237624a5ad9d89d5319ce8f61c3de001c0

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:16.875861Z digest=sha256:4cff535051e77eeac447661a95d941fd7a584fa542f02262f4aec19a6e07db0c

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:17.008166Z digest=sha256:8b352e2ec382741aa2becc79b264e19d69a52ad5c2dd49de4c30e3fa176a1d58

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:17.121691Z digest=sha256:476a919b771b8f65e278034f10850d236a93328472405c6bf3ecbfc42d7d086a

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:17.222228Z digest=sha256:1b063233873c50762ed9a0252b6dacbdc917b00a84510e70433ae9b6fa478f41

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:17.392196Z digest=sha256:4e02f7a8c3bd0c7f5ee1c0d2d1aa5740dc6306fa8b2714ec7b5a10041ccff485

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
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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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:17.536144Z digest=sha256:e0e40e073e7231a3f714f6846d841bae1140f092b5bb5573a291822b07d80dc2

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 2026-08-23T06:30:58.430688+00:00.

source=arxiv_source observed=2026-08-07T05:44:17.746375Z digest=sha256:8d4272ebcd4e828773b23e8dea37295dc72108396624c912775ea9403e28721a

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-07T05:44:17.865942Z digest=sha256:c438ad278281b8cff4cef3f8f8c010b33e4d14bb632c60dac50f2fc706f16308

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