Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T21:43:10.683666Z
Paper Citation Record · LEDGER
As of 21 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2412.04365.
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 2026-08-11T21:43:10.683666Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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 15fa1d78-fe59-4a71-832b-64831b9dadd0 · outbound
Homological smoothness of Hopf-Galois extensions Extensions of Hopf algebras
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e34fa418-33fe-412a-9a63-d349f88f2000 · outbound
Homological smoothness of Hopf-Galois extensions Homological dimension of discrete groups
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 86b43339-61f1-4e71-9afa-6915acb6baa0 · outbound
Homological smoothness of Hopf-Galois extensions Groups with homological duality
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 597c46c3-09cf-45ed-98f6-07fa8069cb81 · outbound
Homological smoothness of Hopf-Galois extensions Finiteness properties of duality groups
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f30d9902-3117-4769-ba98-a6a1c59f4875 · outbound
Homological smoothness of Hopf-Galois extensions Unresolved cited work
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 683b3f2a-3e35-4f46-8f2d-6b54b4ddade4 · outbound
Homological smoothness of Hopf-Galois extensions Rigid dualizing complex for quantum enveloping algebras an d algebras of general- ized differential operators
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation e292a05d-ba7d-48e9-8e65-8d20c1043625 · outbound
Homological smoothness of Hopf-Galois extensions On the computation of Hopf 2-cocycles with an example of diagonal type
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 432bdb4e-12d0-4535-927d-43635083f631 · outbound
Homological smoothness of Hopf-Galois extensions Calabi-Yau algebras
Reference 8
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation cbdd67a0-7e88-4e65-9a29-f555c9c85432 · outbound
Homological smoothness of Hopf-Galois extensions Crossed products for pointed hopf algebras
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5c288e9a-c456-4445-8194-cb24294bbcd1 · outbound
Homological smoothness of Hopf-Galois extensions F., and Takeuchi, M
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 19071e45-b940-4c53-b835-8be7441e92eb · outbound
Homological smoothness of Hopf-Galois extensions Smash products of Calabi–Yau algebras by Hopf algebras
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation c83ce2fb-37ca-450c-aca7-feec8019cf53 · outbound
Homological smoothness of Hopf-Galois extensions Hopf algebras and their actions on rings , vol
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation bb947045-cd42-48fb-8741-0fe239494910 · outbound
Homological smoothness of Hopf-Galois extensions Hopf-Galois and bi-Galois extensions
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 54c77d35-5e54-4f08-9260-8bed441bf76e · outbound
Homological smoothness of Hopf-Galois extensions On generalized Hopf galois extensions
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f5cf607c-3c9d-4ac5-a4d2-52a8f9e67542 · outbound
Homological smoothness of Hopf-Galois extensions Representation theory of Hopf galois extensions
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 1b53f772-0f83-464f-8010-c528d0b7a861 · outbound
Homological smoothness of Hopf-Galois extensions Hochschild cohomology on Hopf Galois extensions
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b91d627a-9aaa-48ba-a0fb-b8e05c5bc384 · outbound
Homological smoothness of Hopf-Galois extensions A relation between Hochschild homology and cohomology for g orenstein rings
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 5ca89250-078f-46ed-b749-322c1a793765 · outbound
Homological smoothness of Hopf-Galois extensions A relation between Hochschild homology and coh omology for gorenstein rings
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation fdf4ea36-141b-4a81-9681-10a28884ebcf · outbound
Homological smoothness of Hopf-Galois extensions Calabi-Yau property under monoidal Morita-Takeuchi equivalence
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 8a568f88-7585-48ae-b5f5-82b849be942f · outbound
Homological smoothness of Hopf-Galois extensions Introduction to homological algebra
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 025a1a36-773c-4f02-8627-7bb37ab6b788 · outbound
Homological smoothness of Hopf-Galois extensions Hopf-Galois objects of Calabi-Yau Hopf algebras
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
No inbound Pith citation observations are available.