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Paper Citation Record · LEDGER

The cubic threefold is symplectically irrational

As of 10 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2608.01577.

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

pith.paper-citation-record.v1
2608.01577 v1

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:16:20.844855Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+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

18 of 18 outbound references displayed

  • verified exact1
  • verified fuzzy7
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

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

This paper cites The quartic threefold is symplectically irrational.

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 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:16:20.424521Z digest=sha256:8c4ce32f87ce2013a4e212fc198b07392b13fb5ed2dd6eca6997f311a2e7fb66

Observation 3b585edf-6663-41fb-bdb6-83010c7032f5 · outbound

This paper cites On the exponential type conjecture.

The cubic threefold is symplectically irrational On the exponential type conjecture

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-07T00:16:20.443354Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:16:20.443354Z digest=sha256:0e416d5f0fe8e143d93bdde756179ca0d0cbb8aa7f0038206cbd52a64ce1bbb3

Observation 502877f2-484c-4a09-9972-177325e49cb8 · outbound

This paper cites Herbert Clemens and Phillip A.

The cubic threefold is symplectically irrational Herbert Clemens and Phillip A

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:16:22.204747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:16:20.455225Z digest=sha256:a697473c5f0c3a57365cc0acfaea06b68435e6893c6e0231aac18aa0c6a8af60

Observation 41836e81-2447-44ae-9d88-e9697748c94d · outbound

This paper cites 1620, Springer, Berlin, 1996, pp.

The cubic threefold is symplectically irrational 1620, Springer, Berlin, 1996, pp

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:16:22.133692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:16:20.469187Z digest=sha256:b2987f6edf1ecb0819c5c1c36d3cf0c55a40e47fe88eb1ba99593112be929286

Observation b32f6ce9-5b7b-49dc-8ae2-d5e90510e660 · outbound

This paper cites J.165(2016), no.

The cubic threefold is symplectically irrational J.165(2016), no

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:16:22.069010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:16:20.504835Z digest=sha256:878c3cc26b1b8f78944177d54addc3ad87734f3368b404d4f7f7bc3f1d035a1c

Observation 0b263043-8a57-4584-a14c-ffd7383b0c9f · outbound

This paper cites an unresolved cited work.

The cubic threefold is symplectically irrational Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:16:22.006303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:16:20.532307Z digest=sha256:3f2794dd1ab5522ad78cef65e37e323d545cdaeddada3d3e6f637e00f0ad5225

Observation db7214b9-07f9-4ac5-b471-53b17fbf0b92 · outbound

This paper cites Math.172(2008), no.

The cubic threefold is symplectically irrational Math.172(2008), no

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:16:21.965547Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:16:20.557861Z digest=sha256:7311edc3ebd332cd427d99435a2696e7e0d80b2b51769b9f70b73f27f63c02c0

Observation fd8b5dab-6440-43cb-a70f-165abce9f95a · outbound

This paper cites III, Mem.

The cubic threefold is symplectically irrational III, Mem

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:16:21.894760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:16:20.562120Z digest=sha256:96198acb6a32f67129d770817a611632444fd999ba1187fabba2387a36830940

Observation 38770d39-9080-4d8f-8f4d-c3485f1db671 · outbound

This paper cites Quantum cohomology of blowups.

The cubic threefold is symplectically irrational Quantum cohomology of blowups

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T00:16:20.579207Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:16:20.579207Z digest=sha256:5a7e5cbd1506a3cb4bb93d949540d79664efe3efa2f9fac13b38632577c7a7b0

Observation eeea7934-e13a-4278-9644-c5a831c7d732 · outbound

This paper cites an unresolved cited work.

The cubic threefold is symplectically irrational Unresolved cited work

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T00:16:20.605065Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:16:20.605065Z digest=sha256:63e093a1211b08ce55178733811227a9c5330bc6bdc8d63617e0fa74ddfec0fb

Observation 5925e580-7873-4153-9948-fbeef96cb630 · outbound

This paper cites Malmquist,Sur l’´ etude analytique des solutions d’un syst` eme d’´ equations diff´ erentielles dans le voisinage d’un point singulier d’ind´ etermination.

The cubic threefold is symplectically irrational Malmquist,Sur l’´ etude analytique des solutions d’un syst` eme d’´ equations diff´ erentielles dans le voisinage d’un point singulier d’ind´ etermination

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:16:21.824870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:16:20.656865Z digest=sha256:4cc9533e31b09f02be01f07249456bd19fde592a5f43e30196ae241efc6313a4

Observation 3b0aaf29-1153-4d4d-bbd4-5aebc3dee324 · outbound

This paper cites The quantum connection, Fourier-Laplace transform, and families of A-infinity-categories.

The cubic threefold is symplectically irrational The quantum connection, Fourier-Laplace transform, and families of A-infinity-categories

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T00:16:20.694759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:16:20.694759Z digest=sha256:7d1dfc32045c941de3f8be331c8f10a58fda5e1e57513131c0adac0e119c1233

Observation 9d161e23-b2a4-4487-ae0d-205989027969 · outbound

This paper cites an unresolved cited work.

The cubic threefold is symplectically irrational Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:16:21.790925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:16:20.740819Z digest=sha256:44144963d264b5a822fe5168840c367f1add2c73cd926c14102af86f0992d0ec

Observation 376d3863-1766-4a89-9dab-e63a6c6edfa9 · outbound

This paper cites an unresolved cited work.

The cubic threefold is symplectically irrational Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:16:21.749666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:16:20.770733Z digest=sha256:e15bdd4d069337c197a72b6eb16fd5451fc8554726cdfa93b19cec6b2b37355f

Observation 3c58b0c2-29be-4ed9-8626-2834eab7afa7 · outbound

This paper cites an unresolved cited work.

The cubic threefold is symplectically irrational Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:16:21.687928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:16:20.788032Z digest=sha256:ddfab5cda0f0584fb7651583cfa29e82dd831f08f4a0e78dd4381bb29b55a439

Observation 8bfb3b05-f288-4c73-bb94-72d65b552d51 · outbound

This paper cites an unresolved cited work.

The cubic threefold is symplectically irrational Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:16:21.638556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:16:20.805366Z digest=sha256:9a4765c650062aea61243f46cdcf029723978f2ae7f1c1719fb64b56a68b4aec

Observation a4074e99-ebe6-41bd-8a5c-3b52639519a7 · outbound

This paper cites Singer,Galois theory of linear differential equa- tions, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol.

The cubic threefold is symplectically irrational Singer,Galois theory of linear differential equa- tions, Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:16:21.591365Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:16:20.819418Z digest=sha256:ad50cbfab685d277b6900d896468c91418fcd566b686c1b341576d726aaae7a6

Observation 25a5bb3e-3485-46f0-a562-681f45e074f6 · outbound

This paper cites an unresolved cited work.

The cubic threefold is symplectically irrational Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-07T00:16:21.562644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T00:16:20.844855Z digest=sha256:2d20ea353bf91b775efbe82f4fff470d489851b1b9dad1c4cba9d5fb7f9b83b9

Pith citing papers

No inbound Pith citation observations are available.