Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:44:24.439317Z
Paper Citation Record · LEDGER
As of 9 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 2 inbound Pith citation observations for arXiv:2506.21227.
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 2026-08-06T22:44:24.439317Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:47:00.599902Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T05:45:57.378179Z
30 of 30 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 312b0c2d-c87c-4169-8797-4440a7352c03 · outbound
On preservation of relative resolutions for poset representations Escolar, Ken Nakashima, and Michio Yoshiwaki
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 5315ce2c-99b1-4dd7-8a8f-fef103ffa73f · outbound
On preservation of relative resolutions for poset representations Escolar, and Shunsuke Tada
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 049ce1dd-20c1-48f2-8ed5-b0822b128562 · outbound
On preservation of relative resolutions for poset representations Interval replacements of persistence modules
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation fbe7ec76-7a04-44cf-baae-7baad25e4020 · outbound
On preservation of relative resolutions for poset representations Bipath Persistence as Zigzag Persistence
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e0ef4b26-57d3-4772-8a96-ee8266090648 · outbound
On preservation of relative resolutions for poset representations Relative K oszul coresolutions and relative B etti numbers
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation c94df496-7a49-4389-9c63-d507463494b8 · outbound
On preservation of relative resolutions for poset representations Elements of the representation theory of associative algebras: V ol
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 48a34913-3568-4106-a679-36e04aeb5a8d · outbound
On preservation of relative resolutions for poset representations Faisceaux pervers
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 492165ec-ecf7-4890-ab22-1ecd883cdad9 · outbound
On preservation of relative resolutions for poset representations Unresolved cited work
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 48de8ea6-9145-4ac0-afa0-aa3fd53f571e · outbound
On preservation of relative resolutions for poset representations Exact structures for persistence modules
Reference 9
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2fd0c407-dd16-47a7-8f26-e8eda22d9682 · outbound
On preservation of relative resolutions for poset representations Computing the interleaving distance is np-hard
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 70f49ded-1688-4379-aaf2-fbfedd152b1b · outbound
On preservation of relative resolutions for poset representations Decomposition of persistence modules
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation d3f0c1d0-5ae0-43a1-b372-7c6d6b03fbd1 · outbound
On preservation of relative resolutions for poset representations On the bottleneck stability of rank decompositions of multi-parameter persistence modules
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation a5af4e93-dc16-436a-a7ac-609cb56b1f50 · outbound
On preservation of relative resolutions for poset representations Unresolved cited work
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f266d995-1aee-4f37-a85d-ed36a7c0512b · outbound
On preservation of relative resolutions for poset representations Koszul complexes and relative homological algebra of functors over posets
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation f3c3df87-aa6c-4c8e-832b-93824b45d3a4 · outbound
On preservation of relative resolutions for poset representations Topological Data Analysis with Applications
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ece6e789-4284-4a35-bd98-e7298cf61e3c · outbound
On preservation of relative resolutions for poset representations The theory of multidimensional persistence
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ff88a32b-fda2-463f-92c6-a0b76e026c62 · outbound
On preservation of relative resolutions for poset representations Ern\'e, J
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation e2ab4c51-7c63-4779-9c4c-bec0c4f02232 · outbound
On preservation of relative resolutions for poset representations Topological persistence and simplification
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 9f4aff5a-dd76-495b-b114-11d7e207dcb6 · outbound
On preservation of relative resolutions for poset representations Blocks of tame representation type and related algebras , volume 1428 of Lecture Notes in Mathematics
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 209250a4-a924-42e2-82d6-62c84f1467f9 · outbound
On preservation of relative resolutions for poset representations Unresolved cited work
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 4fc96794-a12c-4f97-8219-dd96a412e14d · outbound
On preservation of relative resolutions for poset representations Galois Connections in Persistent Homology
Reference 21
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 47cc2961-2787-4e79-9718-e4609375f6a4 · outbound
On preservation of relative resolutions for poset representations Escolar, Kaname Matsue, and Yasumasa Nishiura
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 8056db0f-2462-4d85-bf94-7548ab660775 · outbound
On preservation of relative resolutions for poset representations Generalized persistence diagrams for persistence modules over posets
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 77dec4e0-f488-49e4-aab2-fbdc469ee4ee · outbound
On preservation of relative resolutions for poset representations Interactive Visualization of 2-D Persistence Modules
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5ff7b95f-e14b-4533-bc2e-4b1af703c175 · outbound
On preservation of relative resolutions for poset representations Categories for the Working Mathematician
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ad1b4823-fe27-414e-b3b6-d0946d16f22f · outbound
On preservation of relative resolutions for poset representations Galois connections and computer science applications
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 6c8fe760-d186-43b4-a3c0-04dc446cda76 · outbound
On preservation of relative resolutions for poset representations Topological data analysis of zebrafish patterns
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation 2475ce64-5360-45a1-85b3-3d1b518cb473 · outbound
On preservation of relative resolutions for poset representations Category theory in context
Reference 28
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 47ec2fdc-65ba-41d1-b129-858f7e8da5e7 · outbound
On preservation of relative resolutions for poset representations Unresolved cited work
Reference 29
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9d39c06b-14d7-432c-b692-a0fb49fad358 · outbound
On preservation of relative resolutions for poset representations Computing persistent homology
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.
Observation ef3decca-efd7-42ba-a39b-b110e7704111 · inbound
Stabilization of the Spread-Global Dimension On preservation of relative resolutions for poset representations
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2eb19f4c-bc75-4afd-923d-e5a75beb84ba · inbound
An Algebraic Introduction to Persistence On preservation of relative resolutions for poset representations
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.