Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:20:00.925112Z
Paper Citation Record · LEDGER
As of 13 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2507.16591.
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 2026-08-06T15:20:00.925112Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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
34 of 34 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 6956ab62-2a98-4dbc-b779-b1ccfa61e83e · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Atiyah and I.M
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4161fd7d-8c0e-4d3e-8055-e6da15e26e67 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Atiyah and I.M
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0cc2f109-3476-43d9-92f0-e25d87d642ae · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5119f7e6-af5f-4b6a-84a7-6fec8817d791 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Berline, E
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3e8b71cb-da1d-4834-bc43-41c547fd9e9e · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Coronas and Callias type operators in coarse geometry
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 02d635cf-ef0c-4205-9c3f-e31bd12dba1b · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Connes and H
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2f926a07-7872-4d05-96d9-467431f610c5 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Conway.A course in functional analysis, volume 96 ofGraduate Texts in Mathematics
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 881e3030-940f-45de-90ac-a875f6dcb592 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 102313fe-1881-4b8d-b8aa-4dcf3b42f7c6 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 00acb74a-dacb-44cb-a19b-14f3d5939976 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4970a9ba-979f-4c09-b1c6-8b3e1c398897 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a1c26e96-dc8f-470a-b264-4872071d9ae0 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Higson and J
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 1a157413-3419-48f6-9875-5fb524c8af4e · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Higson and J
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation c27d4543-b024-4018-b109-c6b561763b2d · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Higson and J
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 786433bc-6f6e-475f-91dd-2b8f1ff9b82f · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Higson and J
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3ef24c62-332e-47f5-9bad-259aa41f3ae7 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Karami, M.E
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation ac832440-06a3-4a84-8866-624a5c7a1d84 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Lee.Introduction to Smooth Manifolds, volume 218 ofGraduate Texts in Mathematics
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6c281441-f3c5-4b8b-b332-bc8f7c109dcc · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Large-scale quantization of trace I: Finite propagation operators
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 528820ec-721f-4179-abff-7c52972858e9 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Paschke.K-theory for commutants in the Calkin algebra.Pacific J
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 621e5e79-382b-45b5-983e-623d2c091afa · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Pflaum, H
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 555cfb72-2511-40cf-9219-3dbdcc30c2a4 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Pflaum, H
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7ef5e882-8610-4581-a45c-57041a06e099 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 5613182a-94aa-4bee-88f6-149e1f52b3a3 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Roe.Index theory, coarse geometry, and topology of manifolds, volume 90 ofCBMS Re- gional Conference Series in Mathematics
Reference 23
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7fc1b105-51db-4628-b7e8-9ef3a066921f · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation feb6b809-34f1-4c1a-917a-db8dff29dfc9 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 16ef7b41-5e49-4931-b1f8-bc67372368fa · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Rørdam, F
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation db376e9c-58e0-4f11-b78e-6df7767efd48 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Schick and M.E
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b2f4e95c-d7e4-4447-b40a-92c0e2a10c68 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 597876a2-bf24-488e-877d-6f98a326048b · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Willett and G
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2fc826b5-e7a2-43ef-9b2f-990eb93e1ce9 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 92aa1bca-e4b6-4ac2-b9a8-93db6f9fbcef · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b0e1ba61-3f68-4c82-97de-ae5411d487ae · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 30a6cb80-e794-481d-9008-567d609e8d2b · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 155fe865-97c1-4bb6-93c8-f3fd8531d359 · outbound
A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
No inbound Pith citation observations are available.