Paper Citation Record · LEDGER

Quadrilateral mutations and symplectic embeddings

As of 8 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2606.12729.

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

pith.paper-citation-record.v1
2606.12729 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-27T07:15:01.667334Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

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.

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

29 of 29 outbound references displayed

verified exact6
verified fuzzy0
unresolved23
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a08e07ff-fe3c-4ce9-bd85-60e33ff4ebde · outbound

This paper cites Infinite staircases for Hirzebruch surfaces.

Quadrilateral mutations and symplectic embeddings Infinite staircases for Hirzebruch surfaces

Reference 1

Resolution: verified exact; arxiv_id, observed 2026-07-03T14:08:21.631209Z

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 82dc9542-27bd-4ce0-afb0-b79f011458d7 · outbound

This paper cites an unresolved cited work.

Quadrilateral mutations and symplectic embeddings Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a724185-d5f9-4530-97f6-7d03c19475c7 · outbound

This paper cites Full Ellipsoid Embeddings and Toric Mutations.

Quadrilateral mutations and symplectic embeddings Full Ellipsoid Embeddings and Toric Mutations

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-07-03T14:08:21.633610Z

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 e31b8fa6-8a52-481a-9008-47ce6035d86d · outbound

This paper cites Special eccentricities of rational four-dimensional ellipsoids.

Quadrilateral mutations and symplectic embeddings Special eccentricities of rational four-dimensional ellipsoids

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-07-03T14:08:21.634646Z

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 15149ae3-e525-4335-9fe6-aac9d42cd972 · outbound

This paper cites Variational principles for fluid dynamics on rough paths.

Quadrilateral mutations and symplectic embeddings Variational principles for fluid dynamics on rough paths

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-07-03T14:08:21.631796Z

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 22e9b1d6-d36b-4abb-86f6-981da96befde · outbound

This paper cites Curvy points, the perimeter, and the complexity of convex toric domains.

Quadrilateral mutations and symplectic embeddings Curvy points, the perimeter, and the complexity of convex toric domains

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-07-03T14:08:21.637151Z

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 31a891b4-4360-41d3-b0fb-b040e9bff038 · outbound

This paper cites Lectures on Lagrangian torus fibrations.

Quadrilateral mutations and symplectic embeddings Lectures on Lagrangian torus fibrations

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-07-03T14:08:21.639701Z

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 e75736e1-bb11-4745-83bd-6fdd62cfaf1c · outbound

This paper cites an unresolved cited work.

Quadrilateral mutations and symplectic embeddings Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ab80fc3-641a-45f7-8249-88910fa468fa · outbound

This paper cites an unresolved cited work.

Quadrilateral mutations and symplectic embeddings Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ac6690b-e844-4533-adc2-bab7362c7422 · outbound

This paper cites an unresolved cited work.

Quadrilateral mutations and symplectic embeddings Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f3c7d84c-040c-4e5a-a7e9-c073f426e66e · outbound

This paper cites Frenkel and D.

Quadrilateral mutations and symplectic embeddings Frenkel and D

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c972a6f3-51bf-4695-ae88-125b56f33bf7 · outbound

This paper cites Hutchings, ``Quantitative embedded contact homology'', J.

Quadrilateral mutations and symplectic embeddings Hutchings, ``Quantitative embedded contact homology'', J

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 659a5db8-e231-4861-a0ba-22bf6f7d1a11 · outbound

This paper cites an unresolved cited work.

Quadrilateral mutations and symplectic embeddings Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3e48386-53bb-4e12-9b68-2e09bc455b22 · outbound

This paper cites an unresolved cited work.

Quadrilateral mutations and symplectic embeddings Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1fdccaca-e68a-47b9-9d75-3d53428041f7 · outbound

This paper cites an unresolved cited work.

Quadrilateral mutations and symplectic embeddings Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cfab5d9e-3d0d-4940-a547-b952960968f0 · outbound

This paper cites an unresolved cited work.

Quadrilateral mutations and symplectic embeddings Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f29e41c-f818-408c-8c7f-70386a72da49 · outbound

This paper cites an unresolved cited work.

Quadrilateral mutations and symplectic embeddings Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71b7fa20-e853-4b27-b6fd-e0fc8a75d7a7 · outbound

This paper cites an unresolved cited work.

Quadrilateral mutations and symplectic embeddings Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ef700d9a-2757-4b43-9498-ded696591f83 · outbound

This paper cites an unresolved cited work.

Quadrilateral mutations and symplectic embeddings Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 74d4cd8d-da3f-43c9-9163-28bc6262bc36 · outbound

This paper cites McDuff, Symplectic embedding on 4-dimensional ellipsoids, J.

Quadrilateral mutations and symplectic embeddings McDuff, Symplectic embedding on 4-dimensional ellipsoids, J

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ee4c12f3-2c58-47ee-9749-8e15da946f05 · outbound

This paper cites McDuff and L.

Quadrilateral mutations and symplectic embeddings McDuff and L

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12ce150c-1726-435a-93a0-98a319c631b9 · outbound

This paper cites McDuff and F.

Quadrilateral mutations and symplectic embeddings McDuff and F

Reference 22

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8034a33c-f4d6-440c-85f5-f8a884cc5d72 · outbound

This paper cites McDuff and K.

Quadrilateral mutations and symplectic embeddings McDuff and K

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 82616d68-cdaa-44ae-8337-caef47974e95 · outbound

This paper cites McDuff and K.

Quadrilateral mutations and symplectic embeddings McDuff and K

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09dc1000-b411-4819-a961-525e12b1a9b3 · outbound

This paper cites Symington, Four dimensions from two in symplectic topology, In Topology and geometry of Manifolds (Athens, GA, 2001), volume 71 of Proc.

Quadrilateral mutations and symplectic embeddings Symington, Four dimensions from two in symplectic topology, In Topology and geometry of Manifolds (Athens, GA, 2001), volume 71 of Proc

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c653d13e-b47c-4108-bafc-82ad318baa06 · outbound

This paper cites Traynor, Symplectic packing constructions, J.

Quadrilateral mutations and symplectic embeddings Traynor, Symplectic packing constructions, J

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 372067b1-24da-4316-8b6a-aa1ac6a5f281 · outbound

This paper cites Usher, Infinite staircases in the symplectic embedding problem for four-dimensional ellipsoids into polydisks, Algebr.

Quadrilateral mutations and symplectic embeddings Usher, Infinite staircases in the symplectic embedding problem for four-dimensional ellipsoids into polydisks, Algebr

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3996c776-80d4-4404-9986-d1fc18963fd6 · outbound

This paper cites an unresolved cited work.

Quadrilateral mutations and symplectic embeddings Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation afcb9d90-bdfd-49cb-b22d-7476084b4375 · outbound

This paper cites an unresolved cited work.

Quadrilateral mutations and symplectic embeddings Unresolved cited work

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-27T07:15:01.667334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.