Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-16T04:55:31.650288Z
Paper Citation Record · LEDGER
Group class operations and homological conditions
As of 18 August 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2505.00513.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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
Reference resolution
41 of 41 outbound references displayed
- verified exact0
- verified fuzzy7
- unresolved34
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 4ebd5071-1e74-4801-a79c-71676cde3623 · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:32.315049Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 06d99f75-6521-4df6-b2f7-06b04435eb10 · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:32.297937Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c255075e-6ada-4625-8a9f-93db0f56b5e3 · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:32.277386Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d5179e57-eef3-42b8-b572-86afd5b126c7 · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:32.264089Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e3a2bf1c-d6a2-4c79-ad22-53a6c79a3ab6 · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:32.244561Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e7852e6e-1ef0-4db7-8b90-a3bac64b5711 · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:32.227552Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f3fc5697-dc68-43cc-b4a6-8e6bbd03e1af · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:55:31.447293Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dd9df836-ef1e-4c78-93f6-742a722d5e0a · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:32.194345Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 16eb2d97-b8ab-4ac3-9ec3-e444da9c6625 · outbound
This paper cites Pacific J.
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:55:31.456777Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 40d0ff5b-dd3f-4d88-8d34-7c03dd9ed5e6 · outbound
This paper cites New York J.
Group class operations and homological conditions New York J
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T04:55:32.167392Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a6a667a2-2511-4d9a-ab1f-d7e844474e7c · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:32.151945Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ac30d06d-734d-45bd-b5a0-5afae8d24d26 · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:32.136898Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 5b7aff28-6c4d-473d-9fb5-729ef62e449c · outbound
This paper cites Forum Math.
Group class operations and homological conditions Forum Math
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T04:55:32.122417Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 9213022c-face-4fd4-a91f-438f2dd78e58 · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:32.105803Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f0595caa-8802-4d2f-ae69-31d456b8d575 · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:32.091435Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0c3a06ef-950d-414b-a715-20c08b388ce7 · outbound
This paper cites The cotorsion pair generated by the Gorenstein projective modules and $\lambda$-pure-injective modules.
Group class operations and homological conditions The cotorsion pair generated by the Gorenstein projective modules and $\lambda$-pure-injective modules
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:55:31.497135Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 987c2668-0732-4023-a91b-04958d64eed0 · outbound
This paper cites 78, 235-250 (1997).
Group class operations and homological conditions 78, 235-250 (1997)
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T04:55:32.076163Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7abd2032-c6b5-438a-a962-374da040e36f · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:32.053233Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation cd200e25-6e7c-4b25-9714-4d768cf22a34 · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:32.039928Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation ec8ae8de-3edd-4897-a3b8-70669db12211 · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:55:31.519394Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 16c149fb-ba65-4c8a-ae84-67e49f433867 · outbound
This paper cites Algebra 372, 376-396 (2012).
Group class operations and homological conditions Algebra 372, 376-396 (2012)
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:55:31.524246Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bb91723c-632b-4a3a-9556-47e76e88023f · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:31.996845Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c9237ccc-855d-45e2-9a58-15d8bca82f18 · outbound
This paper cites (preprint).
Group class operations and homological conditions (preprint)
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T04:55:31.980532Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6c36cd1f-9cf2-4a1d-8fb1-d00aa9b8ee9d · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:55:31.540322Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 40abdc47-40f1-4cc5-b6c4-12421ce7a6f8 · outbound
This paper cites De Gruy ter Expositions in Mathematics no.
Group class operations and homological conditions De Gruy ter Expositions in Mathematics no
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T04:55:31.958465Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 7e2c5b6c-67d3-4366-99a5-bf43f00cf518 · outbound
This paper cites Nanjing Daxue Xuebao Shuxue Bannian Kan 10, 1-9 (1993).
Group class operations and homological conditions Nanjing Daxue Xuebao Shuxue Bannian Kan 10, 1-9 (1993)
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:55:31.555890Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 26a21ee8-a16e-4848-a5ec-bae069c26be0 · outbound
This paper cites Topology Appl.
Group class operations and homological conditions Topology Appl
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:55:31.561075Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e1550e75-69f5-4d5f-a0af-026662e9c374 · outbound
This paper cites Rocky Mt.
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T04:55:31.929323Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 827fd4d9-182f-4560-8b11-b2b1646c5f3a · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:55:31.571959Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bca49b53-fddc-4a94-affe-ba939e961b86 · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:31.909540Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 4d5692fd-9ff0-45de-987e-50ef87d1786a · outbound
This paper cites The stable module category and model structures for hierarchically defined groups.
Group class operations and homological conditions The stable module category and model structures for hierarchically defined groups
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:55:31.587016Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c458f9d0-da86-46d9-b7be-cb488636272d · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:55:31.593241Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 09c2f030-26b2-41b5-8677-4f2ac40299e3 · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:31.880926Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 801c33e4-5fe7-4914-bfd5-fac6c1aa2e33 · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:31.867923Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 74fb7811-f2e1-40fc-b443-1c7bc273c61f · outbound
This paper cites Gorenstein homological dimension and some invariants of groups.
Group class operations and homological conditions Gorenstein homological dimension and some invariants of groups
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:55:31.611806Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4d2ce391-7538-43cf-8b2a-14a00c342916 · outbound
This paper cites On purity and applications to coderived and singularity categories.
Group class operations and homological conditions On purity and applications to coderived and singularity categories
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-08-16T04:55:31.620740Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ac055337-64f5-4dfc-b675-1aa36301b523 · outbound
This paper cites Selecta Math.
Group class operations and homological conditions Selecta Math
Reference 37
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-16T04:55:31.850846Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 6fc0308c-1e7f-471f-8568-866b9a0b4136 · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:31.828629Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 5315e353-d065-4eee-9c47-d9450cbe9315 · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 39
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:31.810697Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 38b9a56b-5d8b-409a-9cb4-eaaf11c3cb6f · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 40
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:31.788813Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 2c2970fe-0862-4c35-ab53-c64fdeed3f86 · outbound
This paper cites an unresolved cited work.
Group class operations and homological conditions Unresolved cited work
Reference 41
- Resolution
- unresolved
- raw_fallback, observed 2026-08-16T04:55:31.769655Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
No inbound Pith citation observations are available.