Paper Citation Record · LEDGER

The quartic threefold is symplectically irrational

As of 17 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 1 inbound Pith citation observation for arXiv:2605.29143.

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

pith.paper-citation-record.v1
2605.29143 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T08:35:54.587948Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:16:20.424521Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T00:16:21.465935Z

Reference resolution

34 of 34 outbound references displayed

verified exact5
verified fuzzy0
unresolved29
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8066a174-d7f9-498f-b8d7-4906ffa11f37 · outbound

This paper cites an unresolved cited work.

The quartic threefold is symplectically irrational Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b05e634-44b6-4c2a-9995-06c6c805ad71 · outbound

This paper cites an unresolved cited work.

The quartic threefold is symplectically irrational Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 47a749e7-2397-4df7-9907-37bb9dc3d23a · outbound

This paper cites Complex cobordism, Hamiltonian loops and global Kuranishi charts.

The quartic threefold is symplectically irrational Complex cobordism, Hamiltonian loops and global Kuranishi charts

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-06-29T08:43:15.780865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a1309466-c219-426d-834f-eaf7ee9f7e41 · outbound

This paper cites an unresolved cited work.

The quartic threefold is symplectically irrational Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7d16a5d-88b1-4590-b820-836ecde54df2 · outbound

This paper cites an unresolved cited work.

The quartic threefold is symplectically irrational Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8823c6b-1b04-4853-b5c1-307354cdcd0f · outbound

This paper cites an unresolved cited work.

The quartic threefold is symplectically irrational Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d55e0071-8c77-476b-93bc-156234bc493c · outbound

This paper cites an unresolved cited work.

The quartic threefold is symplectically irrational Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1ec73227-3b76-4586-befd-754f9b754374 · outbound

This paper cites Cox and Sheldon Katz, Mirror symmetry and algebraic geometry, Mathematical Surveys and Monographs, vol.

The quartic threefold is symplectically irrational Cox and Sheldon Katz, Mirror symmetry and algebraic geometry, Mathematical Surveys and Monographs, vol

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 277cf8ad-2525-4918-8f3a-02d4f172d395 · outbound

This paper cites thesis, University of California at Berkeley, 2003.

The quartic threefold is symplectically irrational thesis, University of California at Berkeley, 2003

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93e8f3c5-3831-4ee3-ab76-de37dab9636d · outbound

This paper cites an unresolved cited work.

The quartic threefold is symplectically irrational Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dddd677b-04e0-4fcf-b5fc-3bd41f361d0c · outbound

This paper cites (N.S.) 18 (2012), no.

The quartic threefold is symplectically irrational (N.S.) 18 (2012), no

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6d217194-db19-46b7-8d2b-e53fa46f0369 · outbound

This paper cites Givental, Equivariant G romov- W itten invariants , Internat.

The quartic threefold is symplectically irrational Givental, Equivariant G romov- W itten invariants , Internat

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b64fdce1-e339-4159-b23c-e3ee14e4059d · outbound

This paper cites 9, Springer-Verlag, Berlin, 1986.

The quartic threefold is symplectically irrational 9, Springer-Verlag, Berlin, 1986

Reference 13

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 667f04b6-d50f-4921-b143-c77498a3a48b · outbound

This paper cites Guillemin and S.

The quartic threefold is symplectically irrational Guillemin and S

Reference 14

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cdf71fbf-78b5-4578-81ab-f270211a2a7e · outbound

This paper cites an unresolved cited work.

The quartic threefold is symplectically irrational Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 879f4e2c-138b-4d1b-847d-c7835ba12fa6 · outbound

This paper cites an unresolved cited work.

The quartic threefold is symplectically irrational Unresolved cited work

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-06-29T08:43:15.781955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 35bb5970-c516-4040-a618-5f8b14bb4c83 · outbound

This paper cites an unresolved cited work.

The quartic threefold is symplectically irrational Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e35bb494-5dfa-48c6-97be-91dca56f5c6c · outbound

This paper cites an unresolved cited work.

The quartic threefold is symplectically irrational Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 275193c2-7164-4490-930c-e28c8ca9c55a · outbound

This paper cites Quantum cohomology of blowups.

The quartic threefold is symplectically irrational Quantum cohomology of blowups

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-06-29T08:43:15.784302Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 162c921e-a92e-4c6d-8f86-3cfbaec3c2c0 · outbound

This paper cites Band 226, Springer-Verlag, Berlin-New York, 1978.

The quartic threefold is symplectically irrational Band 226, Springer-Verlag, Berlin-New York, 1978

Reference 20

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 57e12828-3b9d-4aea-a05e-a380f58e4e43 · outbound

This paper cites 31, Princeton University Press, Princeton, NJ, 1984.

The quartic threefold is symplectically irrational 31, Princeton University Press, Princeton, NJ, 1984

Reference 21

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 17968507-40d0-4340-93c6-acc91e815779 · outbound

This paper cites Birational Invariants from Hodge Structures and Quantum Multiplication.

The quartic threefold is symplectically irrational Birational Invariants from Hodge Structures and Quantum Multiplication

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-06-29T08:43:15.792379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7555a01d-bccb-499c-b00d-f037c069f533 · outbound

This paper cites Math., vol.

The quartic threefold is symplectically irrational Math., vol

Reference 23

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b7a0737e-eabb-4a57-9e75-3aeb465b6292 · outbound

This paper cites Lian, Kefeng Liu, and Shing-Tung Yau, Mirror principle.

The quartic threefold is symplectically irrational Lian, Kefeng Liu, and Shing-Tung Yau, Mirror principle

Reference 24

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72a71ab6-93aa-4e15-a3bd-69c2d1e3acd9 · outbound

This paper cites Manin, Frobenius manifolds, quantum cohomology, and moduli spaces, American Mathematical Society Colloquium Publications, vol.

The quartic threefold is symplectically irrational Manin, Frobenius manifolds, quantum cohomology, and moduli spaces, American Mathematical Society Colloquium Publications, vol

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 098a796a-ceba-4e0a-933c-8a6e2dc42da5 · outbound

This paper cites Differential Geom.

The quartic threefold is symplectically irrational Differential Geom

Reference 26

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b33e4e51-dd44-46d1-9cbe-3b802737f9af · outbound

This paper cites an unresolved cited work.

The quartic threefold is symplectically irrational Unresolved cited work

Reference 27

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ba069070-7660-4925-951e-ed340c49b691 · outbound

This paper cites Okounkov and R.

The quartic threefold is symplectically irrational Okounkov and R

Reference 28

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9e6d852a-0cb3-4dcd-a6e6-73b5473890d2 · outbound

This paper cites Seidel, _1 of symplectic automorphism groups and invertibles in quantum homology rings , Geom.

The quartic threefold is symplectically irrational Seidel, _1 of symplectic automorphism groups and invertibles in quantum homology rings , Geom

Reference 29

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3aff4db6-a524-47fa-928d-23bbc64b4951 · outbound

This paper cites Gromov-Witten invariants of general symplectic manifolds.

The quartic threefold is symplectically irrational Gromov-Witten invariants of general symplectic manifolds

Reference 30

Resolution: verified exact; local_arxiv, observed 2026-06-29T08:43:15.788990Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 7cc214c0-1fdd-423b-af67-4928c2ccced3 · outbound

This paper cites an unresolved cited work.

The quartic threefold is symplectically irrational Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ace50520-c59c-4fd9-8b48-ed62a08a65a9 · outbound

This paper cites an unresolved cited work.

The quartic threefold is symplectically irrational Unresolved cited work

Reference 32

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3f0cfec2-fb01-4dc0-8226-daff7f7eb782 · outbound

This paper cites an unresolved cited work.

The quartic threefold is symplectically irrational Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0b0d3f1a-73f4-4032-8c5e-7aa826fad88c · outbound

This paper cites an unresolved cited work.

The quartic threefold is symplectically irrational Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-06-29T08:35:54.587948Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation b917d882-80fa-4ea6-aa53-8d12719bce66 · inbound

The cubic threefold is symplectically irrational cites this paper.

The cubic threefold is symplectically irrational The quartic threefold is symplectically irrational

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-08-07T00:16:21.504749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.