Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T15:17:08.091140Z
Paper Citation Record · LEDGER
As of 16 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2608.02170.
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 2026-08-15T15:17:08.091140Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
21 of 21 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 4646942a-c2cd-4f2e-8b64-43916bca3028 · outbound
Homological shift ideals of weighted oriented graphs Unresolved cited work
Reference 1
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 8b84dc41-fc39-4a4a-b608-2a111fdff502 · outbound
Homological shift ideals of weighted oriented graphs Multigraded shifts of matroidal ideals.Arch
Reference 2
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 fefec9c5-c4af-4d16-b47f-004e246a367f · outbound
Homological shift ideals of weighted oriented graphs A quasi-additive property of homological shift ideals.Bull
Reference 3
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 2a4eaece-1459-4940-8de0-438ec0312ae4 · outbound
Homological shift ideals of weighted oriented graphs Linear quotients and multigraded shifts of Borel ideals.Bull
Reference 4
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 39c8b859-97f3-48b7-99ad-06976dfea267 · outbound
Homological shift ideals of weighted oriented graphs Edge ideals with linear quotients and without homological linear quotients.Mediterr
Reference 5
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 347387a7-1e7e-4a22-aef6-f9c931b4762b · outbound
Homological shift ideals of weighted oriented graphs Very well-covered graphs by Betti splittings.J
Reference 6
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 44bc89d1-6cdc-4878-8a97-b28a68b6838b · outbound
Homological shift ideals of weighted oriented graphs Very well-covered graphs via the Rees algebra.Mediterr
Reference 7
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 c0c2a272-ab5b-4207-9ae0-85df951bab4d · outbound
Homological shift ideals of weighted oriented graphs Homological shifts of polymatroidal ideals.Bull
Reference 8
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 8b784b21-5fe8-4c6c-ae38-c2c7a9782a8d · outbound
Homological shift ideals of weighted oriented graphs Dirac’s theorem and multigraded syzygies.Mediterr
Reference 9
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 7d3e383b-e194-42a5-9a05-8b74957c3eab · outbound
Homological shift ideals of weighted oriented graphs Componentwise linear symbolic powers of edge ideals and Minh’s conjecture.J
Reference 10
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 1bc31329-f085-4c6e-b66d-083609e0aa9f · outbound
Homological shift ideals of weighted oriented graphs Edge ideals and their asymptotic syzygies.J
Reference 11
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 31f74948-1ff3-43bc-881b-3f663594aa16 · outbound
Homological shift ideals of weighted oriented graphs The homological shift algebra of a monomial ideal
Reference 12
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 235e968c-b27c-4133-a3c9-64389fc08585 · outbound
Homological shift ideals of weighted oriented graphs Herzog, Y
Reference 13
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 6f4f9c75-c5f5-4ebf-bdfd-55ba4baf834e · outbound
Homological shift ideals of weighted oriented graphs Cohen-Macaulay polymatroidal ideals.European J
Reference 14
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 dce4b2d4-33ca-4032-996f-bb82f4f312f5 · outbound
Homological shift ideals of weighted oriented graphs Homological shift ideals.Collect
Reference 15
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 8572b528-7ca9-4b56-b64b-717ddcb41bd2 · outbound
Homological shift ideals of weighted oriented graphs Resolutions by mapping cones
Reference 16
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 a4e5b5b8-b0c2-4596-b001-5777ffb7809a · outbound
Homological shift ideals of weighted oriented graphs Ideals with linear quotients.J
Reference 17
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 76471b0a-f5a6-455a-adb8-fab60f35078c · outbound
Homological shift ideals of weighted oriented graphs Componentwise linearity of powers of edge ideals of weighted oriented graphs, arXiv:2509.14637, 2025
Reference 18
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 d508828a-8f27-44b3-bf14-6f9f17c8c506 · outbound
Homological shift ideals of weighted oriented graphs Componentwise linearity of edge ideals of weighted oriented graphs.J
Reference 19
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 2cef6e14-9913-4d68-b42d-d2391078e528 · outbound
Homological shift ideals of weighted oriented graphs Springer-Verlag, New York, 2005
Reference 20
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 b5d66bb2-e6b2-40e7-83e9-36126a8ab6d4 · outbound
Homological shift ideals of weighted oriented graphs Unresolved cited work
Reference 2002
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
No inbound Pith citation observations are available.