Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T11:47:51.821645Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 1 inbound Pith citation observation for arXiv:2506.01828.
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 2026-08-07T11:47:51.821645Z
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 2026-05-10T17:58:09.021250Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T05:45:57.365736Z
52 of 52 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation c5465ea8-9cd6-4dc7-ab52-15194338362d · outbound
Stabilization of the Spread-Global Dimension Escolar, Yasuaki Hiraoka, and Hiroshi Takeuchi
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 73e57992-8c51-46c0-8e8f-e3d9e3372f14 · outbound
Stabilization of the Spread-Global Dimension Escolar, Ken Nakashima, and Michio Yoshiwaki
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 0ea365f0-bf36-49f8-a442-b11ffa4a0f85 · outbound
Stabilization of the Spread-Global Dimension Escolar, and Shunsuke Tada
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 2ac32f0e-6bc8-4acb-931d-90361f2c34ed · outbound
Stabilization of the Spread-Global Dimension Unresolved cited work
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 8c1cdb04-11aa-4727-ab4d-0ea8239ca2cd · outbound
Stabilization of the Spread-Global Dimension Relative homology and representation theory
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 5733849f-a3e1-493a-8824-41b470a55182 · outbound
Stabilization of the Spread-Global Dimension Relative K oszul coresolutions and relative B etti numbers
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 12685868-bac5-4df9-8912-b74632722c38 · outbound
Stabilization of the Spread-Global Dimension Elements of the Representation Theory of Associative Algebras: Techniques of Representation Theory
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 ef3decca-efd7-42ba-a39b-b110e7704111 · outbound
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 d206ca5a-9ea8-4fa5-b27a-2a137561b147 · outbound
Stabilization of the Spread-Global Dimension Whitney numbers of geometric lattices
Reference 9
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 be13a2ce-e81d-4ad3-9135-e904bb116c16 · outbound
Stabilization of the Spread-Global Dimension Unresolved cited work
Reference 10
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f1366901-cf84-4db6-8c91-a1e2b41c5b8c · outbound
Stabilization of the Spread-Global Dimension Unresolved cited work
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 60facdc8-3fca-4e91-97b9-e6fedbd3387c · outbound
Stabilization of the Spread-Global Dimension Bifiltrations and persistence paths for 2- M orse functions
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 52151724-c18d-45c0-8273-4b4c59d471fb · outbound
Stabilization of the Spread-Global Dimension An introduction to multiparameter persistence
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 7b07a229-b05b-4c4c-8327-6eec42e1af0d · outbound
Stabilization of the Spread-Global Dimension Medina-Mardones, and Maximilian Schmahl
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 999afa7a-9fd3-4ad9-ab65-aa43315c7414 · outbound
Stabilization of the Spread-Global Dimension Signed barcodes for multi-parameter persistence via rank decompositions and rank-exact resolutions
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 1b8eff75-22c8-4cce-84bc-01c49855221f · outbound
Stabilization of the Spread-Global Dimension On the bottleneck stability of rank decompositions of multi-parameter persistence modules
Reference 16
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8436f0a5-9d24-4f6b-b7ff-485dc86c6a82 · outbound
Stabilization of the Spread-Global Dimension Counts and end-curves in two-parameter persistence
Reference 17
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d725a7c4-78fc-4c03-98d4-80b77a6c519a · outbound
Stabilization of the Spread-Global Dimension Koszul complexes and relative homological algebra of functors over posets
Reference 18
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 029c356b-436e-4a19-9bdb-05633b78ea8d · outbound
Stabilization of the Spread-Global Dimension Objets ind\'ecomposables dans certaines cat\'egories de foncteurs
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 27700a66-f0ec-441d-9170-e70c11693865 · outbound
Stabilization of the Spread-Global Dimension Realisations of posets and tameness
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 99580703-eac9-4907-95d2-c11f49af2d47 · outbound
Stabilization of the Spread-Global Dimension Irreducible morphisms in subcategories
Reference 21
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 0658df43-663c-491b-83af-9d86308bfdc9 · outbound
Stabilization of the Spread-Global Dimension Smal , and yvind Solberg
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 ba013624-29c2-4157-a35a-6731564cf0ee · outbound
Stabilization of the Spread-Global Dimension Remarks on posets of finite representation type
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 53014c4e-87ec-4f04-8bcf-393030b3498c · outbound
Stabilization of the Spread-Global Dimension Escolar and Yasuaki Hiraoka
Reference 24
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 536b5b66-912c-44ce-9c40-2d76080fad4f · outbound
Stabilization of the Spread-Global Dimension Radical embeddings and representation dimension
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 40add9d9-8648-4f0f-8c81-de73a5e0c95b · outbound
Stabilization of the Spread-Global Dimension Barcoding Invariants and Their Comparison
Reference 26
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fcebe4a8-af62-4f10-9646-1394b3075c5e · outbound
Stabilization of the Spread-Global Dimension Unresolved cited work
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 c29cc476-ac27-4911-bbaa-04425f77bf24 · outbound
Stabilization of the Spread-Global Dimension Unzerlegbare D arstellungen
Reference 28
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 9cda72f2-f619-415d-b1dd-3fd797b6df3e · outbound
Stabilization of the Spread-Global Dimension Unresolved cited work
Reference 29
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 f76bae72-8a2c-48f3-a452-78bfc6dc5804 · outbound
Stabilization of the Spread-Global Dimension Relative homological algebra
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 ef1d55d9-146e-47ad-9e82-c83fc452a985 · outbound
Stabilization of the Spread-Global Dimension Distributive lattices and A uslander regular algebras
Reference 31
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 9ac9880e-e627-4193-a4db-ed0aaacb6323 · outbound
Stabilization of the Spread-Global Dimension On the cohomology of incidence algebras of partially ordered sets
Reference 32
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 f81a4f72-1456-4003-b56b-7d7afe32a941 · outbound
Stabilization of the Spread-Global Dimension The space of barcode bases for persistence modules
Reference 33
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 c9ac662d-ac53-4ad9-878d-afa13252948f · outbound
Stabilization of the Spread-Global Dimension The completely separating incidence algebras of tame representation type
Reference 34
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 5712f49e-e4d0-42c5-be3a-b8ad0be68500 · outbound
Stabilization of the Spread-Global Dimension Representation-tame incidence algebras of finite posets
Reference 35
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 374feee0-f71a-440b-b647-9dfa3f8976e6 · outbound
Stabilization of the Spread-Global Dimension Indecomposable representations of finite ordered sets
Reference 36
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 977f6cd8-bd73-43e7-a5f7-d5bce688d739 · outbound
Stabilization of the Spread-Global Dimension Computing minimal presentations and bigraded B etti numbers of 2-parameter persistent homology
Reference 37
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 5fa2198e-cb42-49bc-91d4-35d13d878d71 · outbound
Stabilization of the Spread-Global Dimension Homological algebra of modules over posets
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 543a8c0a-6593-413b-9aac-35f2b46bce90 · outbound
Stabilization of the Spread-Global Dimension Stratifications of real vector spaces from constructible sheaves with conical microsupport
Reference 39
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 7e5f88e7-3dc6-4a5c-9ca5-a60a2d5517e6 · outbound
Stabilization of the Spread-Global Dimension Theory of categories , volume Vol
Reference 40
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 8d6a2d76-9733-48a3-a12d-34041929cf68 · outbound
Stabilization of the Spread-Global Dimension On the dimension of objects and categories
Reference 41
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 b5be9044-96ac-48b0-aa60-31df961de4a2 · outbound
Stabilization of the Spread-Global Dimension Categories for the working mathematician , volume 5 of Graduate Texts in Mathematics
Reference 42
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 b69975c3-64a2-4f32-9f60-e0492b87227d · outbound
Stabilization of the Spread-Global Dimension Representations of partially ordered sets
Reference 43
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 121f63d5-4da0-4819-a3b1-fe3b35595a6a · outbound
Stabilization of the Spread-Global Dimension Kategornye matrichnye zadachi i problema Brau\'era-Tr\'ella
Reference 44
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 2f6bfde8-44e8-4b73-b2c5-d63eed7e5e1f · outbound
Stabilization of the Spread-Global Dimension On the stability of multigraded betti numbers and hilbert functions
Reference 45
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 9349dce5-fbe4-4e34-b8eb-0e49cc4e2678 · outbound
Stabilization of the Spread-Global Dimension Unresolved cited work
Reference 46
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 143ec738-f32b-4f2b-8cce-63b4e7f0c966 · outbound
Stabilization of the Spread-Global Dimension Category theory in context
Reference 47
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bd222d5c-e386-4eea-9e66-700fd75f472f · outbound
Stabilization of the Spread-Global Dimension Linear representations of partially ordered sets and vector space categories , volume 4 of Algebra, Logic and Applications
Reference 48
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 4fbf40d3-827a-471f-98c3-a3f02d4f74d4 · outbound
Stabilization of the Spread-Global Dimension Ladder decomposition for morphisms of persistence modules
Reference 49
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 fd96fc99-56c7-41a2-86ae-8ba5a25a2d80 · outbound
Stabilization of the Spread-Global Dimension Notes on abelianity of categories of finitely encoded persistence modules, 2024
Reference 50
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 92511f8d-cd3f-4029-8b69-2d419e1d6a9a · outbound
Stabilization of the Spread-Global Dimension Representation dimension and quasi-hereditary algebras
Reference 51
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 86eeb01d-1721-4f79-8731-c886b96d78d2 · outbound
Stabilization of the Spread-Global Dimension Commutative quivers and matrix algebras of finite type
Reference 52
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 383f69ad-e494-4fa5-ae8f-e9f03e7e926b · inbound
An Algebraic Introduction to Persistence Stabilization of the Spread-Global Dimension
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.