Paper Citation Record · LEDGER

Curvy points, the perimeter, and the complexity of convex toric domains

As of 8 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 3 inbound Pith citation observations for arXiv:2506.23498.

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

pith.paper-citation-record.v1
2506.23498 v2

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T21:51:54.838909Z

measured 42 of 42 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 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-03T14:08:21.635904Z

Reference resolution

39 of 39 outbound references displayed

verified exact3
verified fuzzy33
unresolved2
parse uncertain1
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b30c6bce-456a-4fa7-a2a5-c0efc0b66e34 · outbound

This paper cites Bertozzi, T.Holm, E.

Curvy points, the perimeter, and the complexity of convex toric domains Bertozzi, T.Holm, E

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:52:03.304154Z

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 6ff99004-92d7-433a-98a9-3dc6d252f965 · outbound

This paper cites Blair, The ‘Total Scalar Curvature’ as a symplectic invariant, and related results, Proceedings of the 3rd Congress of Geometry (Thessaloniki, 1991), Aristotle Univ.

Curvy points, the perimeter, and the complexity of convex toric domains Blair, The ‘Total Scalar Curvature’ as a symplectic invariant, and related results, Proceedings of the 3rd Congress of Geometry (Thessaloniki, 1991), Aristotle Univ

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:52:03.146871Z

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 7eda72f8-b986-40aa-979e-2189545defee · outbound

This paper cites Biran, A stability property of symplectic packing , Invent.

Curvy points, the perimeter, and the complexity of convex toric domains Biran, A stability property of symplectic packing , Invent

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:52:02.960054Z

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 c73e583d-9910-49ed-8846-da4ba73e46b6 · outbound

This paper cites an unresolved cited work.

Curvy points, the perimeter, and the complexity of convex toric domains Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:52:02.772993Z

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 3ededbe6-59c1-46e0-a506-b11d81117976 · outbound

This paper cites Cristofaro-Gardiner, Symplectic embeddings from concave toric domains into convex ones, J.

Curvy points, the perimeter, and the complexity of convex toric domains Cristofaro-Gardiner, Symplectic embeddings from concave toric domains into convex ones, J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:52:02.586069Z

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 8f979dfe-1799-486d-858b-ec28ba90c18a · outbound

This paper cites Cristofaro-Gardiner, Special eccentricities of rational four-dimensional ellipsoids J.

Curvy points, the perimeter, and the complexity of convex toric domains Cristofaro-Gardiner, Special eccentricities of rational four-dimensional ellipsoids J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:52:02.416830Z

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 afd20df8-d784-447c-ae4e-2edc34be3d22 · outbound

This paper cites Cristofaro-Gardiner, M.

Curvy points, the perimeter, and the complexity of convex toric domains Cristofaro-Gardiner, M

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:52:02.118610Z

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 8ea10cc3-9315-453c-aa18-3c973efd8eac · outbound

This paper cites Cristofaro-Gardiner, T.

Curvy points, the perimeter, and the complexity of convex toric domains Cristofaro-Gardiner, T

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:52:01.838373Z

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 0581427e-08a6-4284-bc0c-237f10d1dff7 · outbound

This paper cites Cristofaro-Gardiner and R.

Curvy points, the perimeter, and the complexity of convex toric domains Cristofaro-Gardiner and R

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:52:01.572215Z

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 e0df2968-05fc-4e56-8be5-54c198d5466a · outbound

This paper cites Castelnuovo's bound and rigidity in almost complex geometry.

Curvy points, the perimeter, and the complexity of convex toric domains Castelnuovo's bound and rigidity in almost complex geometry

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-06T21:51:55.420169Z

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 821131eb-03e3-48e0-9fcf-a0d5c875f10d · outbound

This paper cites Edtmair, in preparation.

Curvy points, the perimeter, and the complexity of convex toric domains Edtmair, in preparation

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:52:01.306652Z

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 64871901-35ad-4968-8eff-909277b78f34 · outbound

This paper cites Entov and M.

Curvy points, the perimeter, and the complexity of convex toric domains Entov and M

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:52:01.103949Z

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 9f5a979d-e53a-4cb4-b385-c945318e7e49 · outbound

This paper cites Gromov, Pseudo holomorphic curves in symplectic manifolds , Invent.

Curvy points, the perimeter, and the complexity of convex toric domains Gromov, Pseudo holomorphic curves in symplectic manifolds , Invent

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:52:00.916669Z

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 05757a35-4f66-434a-9451-2cdecce698bd · outbound

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

Curvy points, the perimeter, and the complexity of convex toric domains Hutchings, Quantitative embedded contact homology , J

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:52:00.712268Z

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 b0139ca2-e6a7-43f2-bcfc-4d0a111cb7c7 · outbound

This paper cites Hutchings, ECH capacities and the Ruelle invariant , \ J.

Curvy points, the perimeter, and the complexity of convex toric domains Hutchings, ECH capacities and the Ruelle invariant , \ J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:52:00.494440Z

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 d75314b1-8f6e-4c11-acb6-a259f2079703 · outbound

This paper cites Hutchings, An elementary alternative to ECH capacities , Proc.

Curvy points, the perimeter, and the complexity of convex toric domains Hutchings, An elementary alternative to ECH capacities , Proc

Reference 16

Resolution: verified exact; doi, observed 2026-08-06T21:51:55.235000Z

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 de928a96-3363-43de-9979-868e19fa34d2 · outbound

This paper cites Hutchings, Lecture notes on embedded contact homology , Contact and symplectic topology, 389–484, Bolyai Soc.

Curvy points, the perimeter, and the complexity of convex toric domains Hutchings, Lecture notes on embedded contact homology , Contact and symplectic topology, 389–484, Bolyai Soc

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:52:00.230678Z

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 248ae70a-3860-4874-b3c7-85062efad072 · outbound

This paper cites Hutchings, Fun with ECH capacities 2 , blog post at floerhomology.wordpress.com.

Curvy points, the perimeter, and the complexity of convex toric domains Hutchings, Fun with ECH capacities 2 , blog post at floerhomology.wordpress.com

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:52:00.030086Z

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 36884bf8-0355-4453-acb1-35437b183baf · outbound

This paper cites Hutchings, Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar, Nov.

Curvy points, the perimeter, and the complexity of convex toric domains Hutchings, Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar, Nov

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:51:59.857378Z

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 32c26321-ecc1-46b4-9fb6-6981fbb0d382 · outbound

This paper cites Ivrii, Second term of the spectral asymptotic expansion for the Laplace-Beltrami operator on manifold with boundary , Funct.

Curvy points, the perimeter, and the complexity of convex toric domains Ivrii, Second term of the spectral asymptotic expansion for the Laplace-Beltrami operator on manifold with boundary , Funct

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:51:59.662135Z

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 dcdbb3ac-3869-4a81-bffe-4f3b6e5cf03a · outbound

This paper cites Jin and A.

Curvy points, the perimeter, and the complexity of convex toric domains Jin and A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:51:59.480724Z

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 3a56b793-00d3-464b-890e-c805bea88b15 · outbound

This paper cites Karshon and L.

Curvy points, the perimeter, and the complexity of convex toric domains Karshon and L

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:51:59.152022Z

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 e42dfb3b-bd54-4dc0-afa8-73f8170dcca6 · outbound

This paper cites Magill and D.

Curvy points, the perimeter, and the complexity of convex toric domains Magill and D

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:51:58.763748Z

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 1a1f8704-c868-416e-a3ba-3abcceed094f · outbound

This paper cites Magill D.

Curvy points, the perimeter, and the complexity of convex toric domains Magill D

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:51:58.460396Z

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 01ed65e6-7376-4bf9-af2e-1a2dacf9dd8b · outbound

This paper cites Magill A.

Curvy points, the perimeter, and the complexity of convex toric domains Magill A

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:51:58.324437Z

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 60fb95e0-9c2b-47c4-b3b5-290fa4ab455b · outbound

This paper cites Maley, J.

Curvy points, the perimeter, and the complexity of convex toric domains Maley, J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:51:58.193365Z

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 4b77a443-3d46-4ee8-9de0-3d680da5e460 · outbound

This paper cites McDuff, Symplectic embeddings of 4 -dimensional ellipsoids , Journ.

Curvy points, the perimeter, and the complexity of convex toric domains McDuff, Symplectic embeddings of 4 -dimensional ellipsoids , Journ

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:51:58.006858Z

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 bf82b042-e76d-4920-a2fd-7c25631a29d1 · outbound

This paper cites McDuff and L.

Curvy points, the perimeter, and the complexity of convex toric domains McDuff and L

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:51:57.852359Z

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 8e507da9-772c-4fdb-a123-7b531c7dd8f5 · outbound

This paper cites McDuff and E.

Curvy points, the perimeter, and the complexity of convex toric domains McDuff and E

Reference 29

Resolution: verified exact; doi, observed 2026-08-06T21:51:55.081279Z

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 a41d435f-37cb-4f4d-82d7-83655e2a0eb2 · outbound

This paper cites McDuff and D.

Curvy points, the perimeter, and the complexity of convex toric domains McDuff and D

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:51:57.583357Z

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 470ec44a-78b7-404d-b649-f4024354caa2 · outbound

This paper cites McDuff and D.

Curvy points, the perimeter, and the complexity of convex toric domains McDuff and D

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:51:57.360044Z

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 c9aee162-d689-456d-bdb5-1cb60248776b · outbound

This paper cites McDuff and F.

Curvy points, the perimeter, and the complexity of convex toric domains McDuff and F

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:51:57.082124Z

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 f077fc39-f28f-4129-a1c9-bb210ab4ea61 · outbound

This paper cites Polterovich and F.

Curvy points, the perimeter, and the complexity of convex toric domains Polterovich and F

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:51:56.863033Z

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 e2b541c7-f9d0-4ae0-9d9f-cd992c00f99f · outbound

This paper cites Salinger, PhD thesis.

Curvy points, the perimeter, and the complexity of convex toric domains Salinger, PhD thesis

Reference 34

Resolution: parse uncertain; raw_fallback, observed 2026-08-06T21:51:56.659301Z

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 6959f1a8-d556-49a0-9454-61dcf547a1dd · outbound

This paper cites Schlenk, Symplectic embedding problems old and new , Survey at http://members.unine.ch/felix.schlenk/Daejeon18/Survey.embeddings.pdf.

Curvy points, the perimeter, and the complexity of convex toric domains Schlenk, Symplectic embedding problems old and new , Survey at http://members.unine.ch/felix.schlenk/Daejeon18/Survey.embeddings.pdf

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:51:56.417660Z

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 938b0ea1-9203-4c76-b0f9-fff7d8ae1b50 · outbound

This paper cites an unresolved cited work.

Curvy points, the perimeter, and the complexity of convex toric domains Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-06T21:51:56.169845Z

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 f23dbbfb-abb5-408e-907f-e7521ab103ea · outbound

This paper cites Traynor, Symplectic Packing Constructions , J.

Curvy points, the perimeter, and the complexity of convex toric domains Traynor, Symplectic Packing Constructions , J

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:51:55.932789Z

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 15ba2298-f8d4-424b-8057-3900c8004567 · outbound

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

Curvy points, the perimeter, and the complexity of convex toric domains Usher, Infinite staircases in the symplectic embedding problem for four-dimensional ellipsoids into polydisks , Algebr

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:51:55.746479Z

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 f03173e5-238a-4115-bffd-e67443bbb832 · outbound

This paper cites Wormleighton, Towers of Looijenga pairs and asymptotics of ECH capacities.

Curvy points, the perimeter, and the complexity of convex toric domains Wormleighton, Towers of Looijenga pairs and asymptotics of ECH capacities

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T21:51:55.557364Z

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.

Pith citing papers

Observation 24442641-fffc-4091-99d3-3e27c5c42e9d · inbound

The nearby Lagrangian conjecture for pinwheels cites this paper.

The nearby Lagrangian conjecture for pinwheels Curvy points, the perimeter, and the complexity of convex toric domains

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-07-03T01:16:48.886391Z

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 ba41e6f0-f5c1-4545-a5d5-b560cb3c6625 · inbound

The nearby Lagrangian conjecture for pinwheels cites this paper.

The nearby Lagrangian conjecture for pinwheels Curvy points, the perimeter, and the complexity of convex toric domains

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-07-03T01:16:48.886391Z

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 · inbound

Quadrilateral mutations and symplectic embeddings cites this paper.

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.