Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-09T13:26:03.112543Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 1 inbound Pith citation observation for arXiv:2502.02122.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-09T13:26:03.112543Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-08T16:43:05.398060Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-08-08T16:43:06.054804Z
53 of 53 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation c9178af7-379b-49c5-a35b-fc86886f0358 · outbound
Morse resolutions of monomial ideals and Betti splittings Unresolved cited work
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation aa192eff-5b2c-45c9-b601-4ed67e4d1df2 · outbound
Morse resolutions of monomial ideals and Betti splittings Squarefree lexsegment ideals
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d1248654-1b93-4ea5-b8da-2be466fc7cba · outbound
Morse resolutions of monomial ideals and Betti splittings Pruned cellular free resolutions of monomial ideals
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 081834ba-71c5-4bf7-8d60-c3a057729ba9 · outbound
Morse resolutions of monomial ideals and Betti splittings Splitting vertices and L yubeznik table of graphs
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 409812bf-5a4a-427c-8950-45b6d31b8b14 · outbound
Morse resolutions of monomial ideals and Betti splittings Betti splitting from a topological point of view
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5e01db7b-42ea-4f9e-89c3-6dc24a154650 · outbound
Morse resolutions of monomial ideals and Betti splittings Upper bounds for the B etti numbers of a given H ilbert function
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f8ebb30d-c32c-4d47-9366-334cb9c97bb1 · outbound
Morse resolutions of monomial ideals and Betti splittings Minimal cellular resolutions of the edge ideals of forests
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation efe86b57-8e23-4051-91ce-34542b040d88 · outbound
Morse resolutions of monomial ideals and Betti splittings Betti splitting via componentwise linear ideals
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation acb519d6-fdc8-40d6-9bec-630e8d49041c · outbound
Morse resolutions of monomial ideals and Betti splittings Monomial resolutions
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e1e78df9-19ef-43ee-add5-86f8a11e069e · outbound
Morse resolutions of monomial ideals and Betti splittings Cellular resolutions of monomial modules
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ddd6f434-149d-4dce-85b4-88579db9de54 · outbound
Morse resolutions of monomial ideals and Betti splittings Discrete M orse theory for cellular resolutions
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fcdc9bcb-7db7-41b1-9ca1-a2b26d3d3e6b · outbound
Morse resolutions of monomial ideals and Betti splittings Graham Evans, Jr
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 6b20e4a8-bcbc-45f4-9d5f-78da105d9cd9 · outbound
Morse resolutions of monomial ideals and Betti splittings Cooper, Sabine El Khoury, Sara Faridi, Sarah Mayes-Tang, Susan Morey, Liana M
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4f9e0fd4-dece-444c-a480-05acaf768fec · outbound
Morse resolutions of monomial ideals and Betti splittings Cooper, Sabine El Khoury, Sara Faridi, Sarah Mayes-Tang, Susan Morey, Liana M
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation e93c234b-a8e3-46e6-8e19-bb4e9f9c964b · outbound
Morse resolutions of monomial ideals and Betti splittings Cohen-Macaulayness of vertex splittable monomial ideals
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1209c0fe-f28e-46bd-a04c-5bb1b4f0f6f6 · outbound
Morse resolutions of monomial ideals and Betti splittings Unresolved cited work
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 02ef1c6b-e785-466e-b240-f8a509cc0319 · outbound
Morse resolutions of monomial ideals and Betti splittings Betti tables of p - B orel-fixed ideals
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ff65eac5-0af9-4881-9d29-97d53dbf7293 · outbound
Morse resolutions of monomial ideals and Betti splittings Barile- M acchia resolutions
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 39cb2bb2-5163-47fd-99f9-528c68dd1b3f · outbound
Morse resolutions of monomial ideals and Betti splittings Cellular resolutions from mapping cones
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation a410954e-1dc7-4424-8784-c2df6031be13 · outbound
Morse resolutions of monomial ideals and Betti splittings Minimal resolutions of some monomial ideals
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b935716f-9944-49c2-9475-55d7f05c8002 · outbound
Morse resolutions of monomial ideals and Betti splittings Cellular resolutions of powers of monomial ideals
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 0c76e524-6133-48db-a9e7-c03d9fbbc4ee · outbound
Morse resolutions of monomial ideals and Betti splittings G., Roya Ghorbani, and Ali Akbar Yazdan Pour
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3782835d-136c-4816-8fdf-051285777d6a · outbound
Morse resolutions of monomial ideals and Betti splittings Francisco, Huy T\`ai H\`a, and Adam Van Tuyl
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 350b7db9-9fde-48db-908d-f0facf4213d8 · outbound
Morse resolutions of monomial ideals and Betti splittings Morse theory for cell complexes
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fcedb1ae-7882-4b69-a049-60f2264f9871 · outbound
Morse resolutions of monomial ideals and Betti splittings Francisco and Adam Van Tuyl
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 8b7252c1-1b1e-49ee-ab30-2065e7ed8ed2 · outbound
Morse resolutions of monomial ideals and Betti splittings Resolutions of a -stable ideals
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 17c1278a-214b-49ee-ab4d-fae8895e7e41 · outbound
Morse resolutions of monomial ideals and Betti splittings Cellular structure for the H erzog- T akayama resolution
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 020052fc-69bb-4365-bbf0-85fa0b70d055 · outbound
Morse resolutions of monomial ideals and Betti splittings Componentwise linear ideals
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3cbafedf-cf4b-4092-ba8b-7f0457c29e30 · outbound
Morse resolutions of monomial ideals and Betti splittings Discrete polymatroids
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 69ef77bd-b300-4285-9291-6a7a4f494bc2 · outbound
Morse resolutions of monomial ideals and Betti splittings Monomial ideals , volume 260 of Graduate Texts in Mathematics
Reference 30
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 524cde21-a14b-4a16-a217-fdb483a43624 · outbound
Morse resolutions of monomial ideals and Betti splittings Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 702767a9-67b1-444d-90e9-a582adfe93b6 · outbound
Morse resolutions of monomial ideals and Betti splittings Resolutions by mapping cones
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5c9eed44-8c37-44bd-802a-c989e29ebde5 · outbound
Morse resolutions of monomial ideals and Betti splittings Maximum betti numbers for a given hilbert function
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation eac2676b-f165-4a93-a48d-bd6fcfe939af · outbound
Morse resolutions of monomial ideals and Betti splittings Cellular structure of the P ommaret- S eiler resolution for quasi-stable ideals
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 1a110d14-d063-4210-9bee-ded1026201d7 · outbound
Morse resolutions of monomial ideals and Betti splittings On the multigraded H ilbert and P oincar\'e- B etti series and the G olod property of monomial rings
Reference 35
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation ae2b8d40-d180-423d-b79d-7619ad231ac3 · outbound
Morse resolutions of monomial ideals and Betti splittings Minimal resolutions via algebraic discrete M orse theory
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 5e29e2e1-8b6e-44cd-adab-dd96314a7dd9 · outbound
Morse resolutions of monomial ideals and Betti splittings Arithmetical rank of monomial ideals of deviation two
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fe2f903f-4be2-4544-b984-1c5daf145989 · outbound
Morse resolutions of monomial ideals and Betti splittings A new explicit finite free resolution of ideals generated by monomials in an R -sequence
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation de52dae5-c6db-4481-8c52-dbd37f9a6240 · outbound
Morse resolutions of monomial ideals and Betti splittings The E liahou- K ervaire resolution is cellular
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 3c6b8b11-11bc-47fc-a00b-fb1f0e3a5499 · outbound
Morse resolutions of monomial ideals and Betti splittings On vertex decomposable simplicial complexes and their alexander duals
Reference 40
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2352ec8b-cd09-4f68-ab71-ec45ee578749 · outbound
Morse resolutions of monomial ideals and Betti splittings Vertex decomposability and weakly polymatroidal ideals
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation cb4f0d05-d6f6-4583-96ea-4b9d1f052735 · outbound
Morse resolutions of monomial ideals and Betti splittings Unresolved cited work
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation c765286e-4fba-4d30-b7c3-1c45e7b26dd9 · outbound
Morse resolutions of monomial ideals and Betti splittings On CW complexes supporting E liahou- K ervaire type resolutions of B orel fixed ideals
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b3bd7dd7-9271-430d-8275-3479bc779464 · outbound
Morse resolutions of monomial ideals and Betti splittings Nonstandard borel-fixed ideals
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fd875eda-e7a5-4b47-a44b-6f85cfc2da85 · outbound
Morse resolutions of monomial ideals and Betti splittings Minimal free resolution of a finitely generated module over a regular local ring
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 2d9248e4-4668-4999-b47d-d24a8b235ef0 · outbound
Morse resolutions of monomial ideals and Betti splittings On B orel fixed ideals generated in one degree
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 4b94462b-0d85-4326-8dfd-d1e86d9df7b3 · outbound
Morse resolutions of monomial ideals and Betti splittings Morse theory from an algebraic viewpoint
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 521bbdfd-157d-4474-aab3-8f3433d28cb6 · outbound
Morse resolutions of monomial ideals and Betti splittings Ideals generated by monomials in an R -sequence
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation cbea0737-4cdf-41cb-a272-0bca5004b74b · outbound
Morse resolutions of monomial ideals and Betti splittings Minimal free resolutions that are not supported by a CW -complex
Reference 49
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7bb9b2b9-1903-4392-9250-3ca77fa56241 · outbound
Morse resolutions of monomial ideals and Betti splittings Sequentially cohen-macaulay bipartite graphs: Vertex decomposability and regularity
Reference 50
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 766dfab2-19ff-4d04-9a4d-5b1fd5bf31bb · outbound
Morse resolutions of monomial ideals and Betti splittings Discrete M orse theory and free resolutions
Reference 51
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation b540886e-9a43-40fc-ad9b-90fe36c6d118 · outbound
Morse resolutions of monomial ideals and Betti splittings Vertex decomposable graphs and obstructions to shellability
Reference 52
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation d5cfdad6-7a8b-48e0-9198-093654a6b59e · outbound
Morse resolutions of monomial ideals and Betti splittings Alexander duality for S tanley- R eisner rings and squarefree N^n -graded modules
Reference 53
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 066d7e73-d772-46b1-9cd4-209945b759a0 · inbound
Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions Morse resolutions of monomial ideals and Betti splittings
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.