Paper Citation Record · LEDGER

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line

As of 17 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2608.12191.

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

pith.paper-citation-record.v1
2608.12191 v1

Coverage vector

measured 41 of 41 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-16T00:21:54.615985Z

measured 41 of 41 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

41 of 41 outbound references displayed

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verified fuzzy22
unresolved11
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External citation measurements

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Outbound references

Observation 9d485389-78b7-4220-9167-d59cb57a3fd2 · outbound

This paper cites Addington, R.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Addington, R

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.552337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7ff95632-5b10-4b8c-859b-108396a15d5e · outbound

This paper cites Stability conditions on Kuznetsov components.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Stability conditions on Kuznetsov components

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T00:21:54.432713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2d9e868b-c6aa-4d35-b140-9dd09b4cd4c2 · outbound

This paper cites Stability conditions in families.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Stability conditions in families

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-16T00:21:54.437891Z

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Unavailable: canonical work link unavailable.

Observation aec19466-1439-4dbe-b213-ca8bf168e578 · outbound

This paper cites Bayer, E.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Bayer, E

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-16T00:21:54.443321Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec7cf595-c021-4ed1-a32f-15cb3236fe23 · outbound

This paper cites On Painlev\'e/gauge theory correspondence.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line On Painlev\'e/gauge theory correspondence

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-16T00:21:54.448201Z

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Unavailable: canonical work link unavailable.

Observation f6812760-8979-4930-9d91-208fbc8d7366 · outbound

This paper cites Bridgeland,Stability conditions on triangulated categories, Ann.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Bridgeland,Stability conditions on triangulated categories, Ann

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.526814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 9ddcb633-f7b0-4c85-a529-52e85ebccb87 · outbound

This paper cites Bridgeland,Riemann–Hilbert problems from Donaldson–Thomas theory, Invent.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Bridgeland,Riemann–Hilbert problems from Donaldson–Thomas theory, Invent

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.512116Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation cce4ef02-9cbd-4d76-be1e-48ffd8604a95 · outbound

This paper cites Bridgeland,Riemann–Hilbert problems for the resolved conifold, J.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Bridgeland,Riemann–Hilbert problems for the resolved conifold, J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.498527Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 62270a9b-65a4-49c4-b012-d0ff11e1bf66 · outbound

This paper cites Tau Functions from Joyce Structures.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Tau Functions from Joyce Structures

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:21:55.166464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c1723067-8a1f-4f64-ad78-e26fd33a3624 · outbound

This paper cites On the monodromy of the deformed cubic oscillator.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line On the monodromy of the deformed cubic oscillator

Reference 10

Resolution: metadata mismatch; local_arxiv, observed 2026-08-16T00:21:55.144142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 75cd77fd-ba1a-4663-acaf-6a4cfb829038 · outbound

This paper cites Bridgeland, I.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Bridgeland, I

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.482901Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 8a98d085-40aa-4dd1-8b46-947a7f5366c2 · outbound

This paper cites Cotti, B.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Cotti, B

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.468334Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a2e1024b-ab3b-4fd6-8e43-a55d506e37cd · outbound

This paper cites Collins, A.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Collins, A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.453800Z

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Observation d075194e-1530-4704-804d-e94be103bff9 · outbound

This paper cites Cecotti, C.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Cecotti, C

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.439075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 43d19178-cbbf-4dfd-af77-677ba9c1feca · outbound

This paper cites Delabaere, H.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Delabaere, H

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.424361Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7b7a3b75-400e-417a-b259-73c00816e079 · outbound

This paper cites Feyzbakhsh, L.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Feyzbakhsh, L

Reference 16

Resolution: verified exact; raw_fallback, observed 2026-08-16T00:21:55.124074Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 526ea35a-2a59-4d91-be05-d27d09bd655b · outbound

This paper cites Getzler, A.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Getzler, A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.410119Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e57e5f99-1b38-4181-9ce5-988b5f8f9c45 · outbound

This paper cites Happel, I.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Happel, I

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.395612Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0080a0a0-20fb-435b-926b-53d2923502b1 · outbound

This paper cites The noncommutative minimal model program.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line The noncommutative minimal model program

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-16T00:21:54.516837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7075f434-e457-43c7-9e54-e24e69fa661a · outbound

This paper cites Quasi-convergence of stability conditions.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Quasi-convergence of stability conditions

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-16T00:21:54.521859Z

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Unavailable: canonical work link unavailable.

Observation c583abfc-1b62-46eb-9732-0dc07c19110c · outbound

This paper cites Halpern-Leistner, A.-A.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Halpern-Leistner, A.-A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.380726Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a7e81300-854f-4df6-bfb5-416047137f51 · outbound

This paper cites Decomposition and framing of F-bundles and applications to quantum cohomology.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Decomposition and framing of F-bundles and applications to quantum cohomology

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-16T00:21:54.531326Z

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Unavailable: canonical work link unavailable.

Observation 84a13101-3ac6-4193-b0a6-2af55bb15c08 · outbound

This paper cites Iritani,An integral structure in quantum cohomology and mirror symmetry for toric orbifolds, Adv.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Iritani,An integral structure in quantum cohomology and mirror symmetry for toric orbifolds, Adv

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.365503Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1d86a904-0506-49d7-8de1-8a8e18827aea · outbound

This paper cites Jaffe, A.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Jaffe, A

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.349718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 095f70ed-63fe-44c0-832f-7859a5a9a91a · outbound

This paper cites The noncommutative MMP for blowup surfaces.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line The noncommutative MMP for blowup surfaces

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-16T00:21:54.544623Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 993b7437-5e25-481e-92f8-9113874c02a7 · outbound

This paper cites Katzarkov, M.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Katzarkov, M

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-16T00:21:54.549275Z

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Unavailable: canonical work link unavailable.

Observation 1331bbdc-6e44-4116-9372-0f2b8c8c0f13 · outbound

This paper cites Karube, A.-A.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Karube, A.-A

Reference 27

Resolution: verified exact; raw_fallback, observed 2026-08-16T00:21:54.906298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 86880662-ef04-450c-b379-f7c43be53e3c · outbound

This paper cites Keller,Deformed Calabi–Yau completions, J.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Keller,Deformed Calabi–Yau completions, J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.334574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b823d8ae-0fd3-4f23-a6c2-29fca7981984 · outbound

This paper cites Stability structures, motivic Donaldson-Thomas invariants and cluster transformations.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Stability structures, motivic Donaldson-Thomas invariants and cluster transformations

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-16T00:21:54.563424Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ab6f05ed-c775-4ee8-9966-a83b8fee3ae6 · outbound

This paper cites Kuznetsov,Derived categories of cubic fourfolds, in: Cohomological and geometric approaches to rationality problems, Progr.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Kuznetsov,Derived categories of cubic fourfolds, in: Cohomological and geometric approaches to rationality problems, Progr

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.319676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 34c2777b-d57a-4ed7-83cd-491514121fe3 · outbound

This paper cites Kuznetsov,Calabi–Yau and fractional Calabi–Yau categories, J.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Kuznetsov,Calabi–Yau and fractional Calabi–Yau categories, J

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.304158Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 68b48cba-412f-4922-8558-83a3c99d7f82 · outbound

This paper cites On the connection problem for Painlev\'e I.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line On the connection problem for Painlev\'e I

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-16T00:21:54.575911Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2dbb708a-3298-4cca-8f39-ab1e4b298b5e · outbound

This paper cites Some examples of spaces of stability conditions on derived categories.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Some examples of spaces of stability conditions on derived categories

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:21:54.800504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 766eed5d-4842-417f-ac9e-e6af2d89403c · outbound

This paper cites Masoero,Poles of int´ egrale tritronqu´ ee and anharmonic oscillators, J.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Masoero,Poles of int´ egrale tritronqu´ ee and anharmonic oscillators, J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.287429Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 31a9f65a-12a8-4e60-8363-0d5456cf9c36 · outbound

This paper cites Okada,Stability manifold ofP 1, J.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Okada,Stability manifold ofP 1, J

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.271187Z

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No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d967f0c9-3997-4290-b563-8beb54e2e92f · outbound

This paper cites Raugas,Relating Hodge atoms, spectral triples, and BPS flows, arXiv:2603.16639.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Raugas,Relating Hodge atoms, spectral triples, and BPS flows, arXiv:2603.16639

Reference 36

Resolution: verified exact; raw_fallback, observed 2026-08-16T00:21:54.779883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a27dd129-4c18-488b-9c2c-cdeb7d55ada9 · outbound

This paper cites An analogue of Dubrovin's conjecture.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line An analogue of Dubrovin's conjecture

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:21:54.679703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation faf11d38-01a1-4ca5-9db5-59acc876f2ee · outbound

This paper cites Sibuya,Global theory of a second order linear ordinary differential equation with a polynomial coefficient, North-Holland, 1975.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Sibuya,Global theory of a second order linear ordinary differential equation with a polynomial coefficient, North-Holland, 1975

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.256186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0e97af68-eec6-457a-8c00-fc9d403deb3b · outbound

This paper cites The modular curve as the space of stability conditions of a CY3 algebra.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line The modular curve as the space of stability conditions of a CY3 algebra

Reference 39

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:21:54.658892Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 569016cb-b17c-44ef-b0cf-13523d434609 · outbound

This paper cites Toda,Moduli stacks and invariants of semistable objects on K3 surfaces, Adv.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Toda,Moduli stacks and invariants of semistable objects on K3 surfaces, Adv

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.240691Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d750a595-e3fd-4e49-8366-12ac34ac520c · outbound

This paper cites Voros,The return of the quartic oscillator: the complex WKB method, Ann.

K3 atoms of the cubic fourfold and the BPS structure of the Painlev\'e I determinant line Voros,The return of the quartic oscillator: the complex WKB method, Ann

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:21:55.224674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

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