Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-04T22:04:56.810503Z
Paper Citation Record · LEDGER
As of 8 August 2026, this Paper Citation Record lists 56 of 56 outbound references and 0 inbound Pith citation observations for arXiv:2509.07645.
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 2026-08-04T22:04:56.810503Z
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
A source-named dated measurement, never combined with another source.
Source: cited_works
56 of 56 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation dec57e56-1796-47d3-9fcb-bdb5fc722360 · outbound
Reference 1
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 430e659c-96fa-492c-a828-ad259b144c70 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Periodic modules and acyclic complexes
Reference 2
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e7124023-34eb-4c46-9ad5-d2dc30d5353f · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Fp-projective periodicity
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 c53ea70c-7ce1-41c5-aa4e-20ea9879ad50 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Models for singularity categories
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 cbb747aa-dd47-4a03-8e6b-a7e071140e14 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Unresolved cited work
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 2bc25389-9272-43d1-9629-495da3898ba5 · outbound
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 0f32c00e-33ae-478f-8695-23ec2e18be4c · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Exact Categories
Reference 7
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c17b0a7e-0c8f-4e46-b225-5e081480c624 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity The stable category of Gorenstein flat sheaves on a noetherian scheme
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 39a4d243-ee8b-4565-a24d-4bd2f68d8fa7 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity The direct limit closure of perfect complexes
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 cbc1475a-1883-4649-bd95-44dfb10fa9d4 · outbound
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 33555c42-0d64-4b52-936f-64d87cf673ae · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Cotilting Sheaves on Noetherian Schemes
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 4b278133-77c8-4786-ad5e-40368e270792 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Coherent analogues of matrix factorizations and relative singularity categories
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 435d1b25-425e-478d-a7e4-42e1dc0828e9 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Unresolved cited work
Reference 13
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 33ceddce-9002-4aaf-b638-3c93dd35a59f · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Unresolved cited work
Reference 14
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6eb25108-7e46-45a2-8ae6-3393c4b43b6b · outbound
Reference 15
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 543c3490-3b98-477a-8512-8b305d1865a0 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity K-flatness in Grothendieck categories: Application to quasi-coherent sheaves
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 79b43960-9583-4bca-8c8c-664823cdf0f7 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Quillen equivalent models for the derived category of flats and the resolution property
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 7c6b36e5-237d-469c-bd08-3748451b072b · outbound
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 05f7aa8f-11b1-4992-9d55-aae54e8790fc · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Unresolved cited work
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 03f640f7-3254-4753-83f2-bb5191618a7d · outbound
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 4382bd96-9d41-4a08-b836-7744f0cf97d2 · outbound
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 511f7dc4-831d-49da-9b93-bd46149b0534 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity How to construct a Hovey triple from two cotorsion pairs
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 2fc6e02a-b559-4994-a54c-cf7c74dac6fc · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Models for mock homotopy categories of projectives
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 ce97d24c-a0f9-41b3-93bd-69360ee63520 · outbound
Reference 24
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 04e64572-25a2-4164-ad1b-7ec85b510d59 · outbound
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 df345935-c64d-4036-bf05-f3111dd27b6e · outbound
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 58bb521a-cd9e-4d8d-9f59-6e564eb84d52 · outbound
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 e67f2d6f-c20c-473e-8af1-ccb9a848bd6b · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Kashiwara, P
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 d240b6b5-dfd6-4f0e-aaa6-933613f9669a · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity 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 9d15988b-9464-427a-b396-6558db846cd2 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Unresolved cited work
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 a6305dcd-43c3-4cec-b081-1771dbd3e03e · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Unresolved cited work
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 b25402f9-4450-499a-8980-591c1d34cb13 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Unresolved cited work
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 ca49c4b0-dca3-4b31-bc55-ce6d19e95bc8 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Unresolved cited work
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 b91d7028-6d0c-41d1-ad56-9b06b5bd2e43 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Homological algebra of semimodules and semicontramodules: Semi-infinite homological algebra of associative algebraic structures
Reference 34
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 446bd629-3d1e-4c48-841a-e30ce25fea39 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Two kinds of derived categories, Koszul duality, and comodule-contramodule correspondence
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 d7e20a36-a18e-47be-a5f0-3f5e3e3bf928 · outbound
Reference 36
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f30b4ca-0e3d-4084-8134-fd651f1752e0 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Relative nonhomogeneous Koszul duality
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 56632832-658b-4608-be60-f830a8018181 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity An explicit self-dual construction of complete cotorsion pairs in the relative context
Reference 38
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 427a0328-6fb8-433d-b8e4-cf093da5b8af · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Differential graded Koszul duality: an introductory survey
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 d3466966-b6ac-47a7-89e3-537e84b281e7 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Local, colocal, and antilocal properties of modules and complexes over commutative rings
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 270ad4ae-5dc0-44db-9905-13732c3976ef · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Philosophy of contraherent cosheaves
Reference 41
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c0179670-6177-4ba4-8f83-7cfc9384a68d · outbound
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 a9b64d19-034a-44b7-ab2c-9d67f8a8dae4 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Positselski.D-Ω duality on the contra side
Reference 43
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d417f0f0-c9b6-4c74-b115-0abc4be55ddc · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity A relative version of Bass' theorem about finite-dimensional algebras
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 7e0a9cac-079e-4499-9c3c-2a81f4240f5a · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Covers, envelopes, and cotorsion theories in locally presentable abelian categories and contramodule categories
Reference 45
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 30c873a3-44ec-413e-bcf9-b149c44aacf8 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Flat morphisms of finite presentation are very flat
Reference 46
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5e4818a8-bf73-432f-a821-3f2d1fc583ca · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Derived, coderived, and contraderived categories of locally presentable abelian categories
Reference 47
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 b56915af-a83c-4e8e-9b34-fec731a65404 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Coderived and contraderived categories of locally presentable abelian DG-categories
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 5692d947-1d23-4b87-a3f2-9fb591c80ba6 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Flat quasi-coherent sheaves as directed colimits, and quasi-coherent cotorsion periodicity
Reference 49
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f834c975-a173-4645-99a8-13729040b75d · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity platification
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 57657594-6525-4bc0-bf8e-6df043551b30 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Unresolved cited work
Reference 51
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b8c45098-23df-466a-ad4b-75f7a9ffa08e · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Deconstructibility and the Hill lemma in Grothendieck categories
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 97b159b5-c715-4bcb-a2ee-480a77f562b9 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Exact model categories, approximation theory, and cohomology of quasi-coherent sheaves
Reference 53
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 d5c79847-5eca-4338-9fdc-7325369e3372 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Derived equivalences induced by big cotilting modules
Reference 54
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 09496632-33f7-4bb1-85b9-03e160949af6 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity On purity and applications to coderived and singularity categories
Reference 55
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 71708eac-ce04-4135-82ac-a7ad862b5ef0 · outbound
Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity Unresolved cited work
Reference 56
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.
No inbound Pith citation observations are available.