Paper Citation Record · LEDGER

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property

As of 21 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2502.00155.

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

pith.paper-citation-record.v1
2502.00155 v2

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T20:09:20.468283Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

40 of 40 outbound references displayed

verified exact0
verified fuzzy22
unresolved18
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External citation measurements

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Outbound references

Observation e8999d45-7050-46f4-8137-3aee40699b10 · outbound

This paper cites Mir´ o-Roig, and Lisa Nicklasson, Hilbert functions and Jordan type of Perazzo Artinian algebras, Lefschetz properties—current and new directions, 2024, p p.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Mir´ o-Roig, and Lisa Nicklasson, Hilbert functions and Jordan type of Perazzo Artinian algebras, Lefschetz properties—current and new directions, 2024, p p

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:21.054299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d0394ff7-a43e-46d5-a4b4-2d40c97cdf7a · outbound

This paper cites Malde, Allen J.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Malde, Allen J

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:21.040263Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 82386c82-ab8d-497b-a1d4-3590dc699947 · outbound

This paper cites Algebra 23 (1995), no.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Algebra 23 (1995), no

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:21.025888Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f46d95b3-d796-41c9-a9f6-68453aef9bef · outbound

This paper cites an unresolved cited work.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:09:21.011693Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fb1ffb51-a918-4201-bfaf-ab50291c0272 · outbound

This paper cites Cooper, S.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Cooper, S

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.997677Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 43ab43e4-ae6d-4952-8a48-6d8cf3096217 · outbound

This paper cites an unresolved cited work.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:09:20.983589Z

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Observation 4846ce8e-ae5a-43e2-90ef-5b22b8e5bef2 · outbound

This paper cites an unresolved cited work.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:09:20.969473Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0354c633-41e8-406f-ae87-f866d2c5e55e · outbound

This paper cites an unresolved cited work.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:09:20.955507Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7d68d8d8-a553-4c76-a6e7-8d740c3bb0e7 · outbound

This paper cites an unresolved cited work.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:09:20.942312Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8656ad5f-6d2f-4752-bc41-3413b9e34dca · outbound

This paper cites Algebra 52 (2024), no.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Algebra 52 (2024), no

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.929128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e6d4b41b-96e9-4e39-b441-34ec606e0a03 · outbound

This paper cites an unresolved cited work.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:09:20.914854Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3eee648b-3fa1-4fb0-97bb-c9500afd4d80 · outbound

This paper cites an unresolved cited work.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:09:20.900646Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d0d37712-632a-4e32-a756-e87ad78f8f94 · outbound

This paper cites an unresolved cited work.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:09:20.887152Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f3b06441-ab27-4063-8381-66cf9a528ac2 · outbound

This paper cites Finbow, B.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Finbow, B

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.872755Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f77339cb-e42b-48c9-978d-bea297cbed88 · outbound

This paper cites Algebra 626 (2023), 56–81.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Algebra 626 (2023), 56–81

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.859768Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5eeba7e0-c275-40ee-9caa-3aa72660957d · outbound

This paper cites Fr¨ oberg,Koszul algebras, Advances in commutative ring theory, 1999.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Fr¨ oberg,Koszul algebras, Advances in commutative ring theory, 1999

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.846517Z

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Observation a423a376-99e7-4446-95e9-359e2bc0d5f3 · outbound

This paper cites Pure Appl.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Pure Appl

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.832454Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e52d7e41-70a6-4db9-b2ea-f2fa6a352aed · outbound

This paper cites an unresolved cited work.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:09:20.819283Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0e3e1891-c1cb-492f-97ac-8071c68858f8 · outbound

This paper cites Grayson and Michael E.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Grayson and Michael E

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.805023Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e6ba00ae-b957-49d5-a010-fc9016f89d32 · outbound

This paper cites 2080, Springer, Heidel berg, 2013.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property 2080, Springer, Heidel berg, 2013

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.791549Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4acec64d-001c-4e97-9de4-6ed15c5bbd76 · outbound

This paper cites Algebraic Combin.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Algebraic Combin

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.778202Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 92a813c8-b823-480e-a306-61f3664e1544 · outbound

This paper cites an unresolved cited work.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:09:20.764911Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5487568a-555d-4f01-81d9-61049b119eb5 · outbound

This paper cites Levit and Eugen Mandrescu, Independence polynomials and the unimodality conjecture f or very well-covered, quasi-regularizable, and perfect graphs, Graph theory in Paris, 2007, pp.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Levit and Eugen Mandrescu, Independence polynomials and the unimodality conjecture f or very well-covered, quasi-regularizable, and perfect graphs, Graph theory in Paris, 2007, pp

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.751109Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ef90d602-b9ad-4480-bffc-b242e2857365 · outbound

This paper cites Algebra 521 (2019), 213–234.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Algebra 521 (2019), 213–234

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.736723Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a7189cfc-f58a-4004-b6a1-863451909cb6 · outbound

This paper cites an unresolved cited work.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:09:20.721887Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation afaef409-775a-4e81-8072-19d8bb766028 · outbound

This paper cites an unresolved cited work.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:09:20.708531Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1d0ff546-218d-4f33-ab26-935a52a230f0 · outbound

This paper cites an unresolved cited work.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:09:20.695040Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f011affa-a038-4076-9f0b-6e8502adaefb · outbound

This paper cites an unresolved cited work.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:09:20.682329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0e661371-09e7-4173-8cc6-b334f8c3d63d · outbound

This paper cites Mir´ o-Roig,Smooth monomial Togliatti systems of cubics, J.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Mir´ o-Roig,Smooth monomial Togliatti systems of cubics, J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.668831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 93a2f7dc-cf22-42c4-aedc-4f8b594d5546 · outbound

This paper cites an unresolved cited work.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:09:20.655148Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ae92e2ac-b2ad-416d-9c50-affe8e6d93dd · outbound

This paper cites an unresolved cited work.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:09:20.640509Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9e39cd33-5a82-43a1-ba06-d87cb69c9b13 · outbound

This paper cites Migliore, Rosa M.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Migliore, Rosa M

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.626473Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 77ab85ec-8e23-4d8b-80fa-0667ff4c3f89 · outbound

This paper cites Mir´ o-Roig and Josep P´ erez,Perazzo hypersurfaces and the weak Lefschetz property, J.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Mir´ o-Roig and Josep P´ erez,Perazzo hypersurfaces and the weak Lefschetz property, J

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.612636Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 18e78a60-a10a-4524-a50e-6d2dd68b308a · outbound

This paper cites Nguyen and Quang Hoa Tran, The Weak Lefschetz Property of Artinian Algebras Associated to Paths and Cycles, Acta Math.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Nguyen and Quang Hoa Tran, The Weak Lefschetz Property of Artinian Algebras Associated to Paths and Cycles, Acta Math

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.597984Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a4cc3ac7-b657-40bc-a57a-753b58641303 · outbound

This paper cites an unresolved cited work.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:09:20.582384Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 32a574bc-9cbf-4807-9a12-42b97fc4c9ab · outbound

This paper cites Stanley, Hilbert functions of graded algebras , Advances in Math.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Stanley, Hilbert functions of graded algebras , Advances in Math

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.566872Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 84acdc04-52e3-4c67-9f8f-a1cc94af4369 · outbound

This paper cites Algebraic Discrete Methods 1 (1980), no.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Algebraic Discrete Methods 1 (1980), no

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.551751Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation f1afb36d-0dbe-46f0-a1ee-39aba0a42366 · outbound

This paper cites 8, American Mathe- matical Society, Providence, RI, 1996.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property 8, American Mathe- matical Society, Providence, RI, 1996

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.535947Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 265acd09-bc6c-4c2a-8b06-1fa4c61b9f5f · outbound

This paper cites Algebra 301 (2006), no.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Algebra 301 (2006), no

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T20:09:20.519785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7301f793-bcf2-404c-b26c-ecd91bf208f5 · outbound

This paper cites an unresolved cited work.

Roller Coaster Gorenstein algebras and Koszul algebras failing the weak Lefschetz property Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-09T20:09:20.504489Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

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