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Paper Citation Record · LEDGER

A partitioned manifold index theorem for noncompact hypersurfaces

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.

pith.paper-citation-record.v1
2507.16591 v2

Coverage vector

measured 34 of 34 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:20:00.925112Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

34 of 34 outbound references displayed

  • verified exact3
  • verified fuzzy18
  • unresolved13
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6956ab62-2a98-4dbc-b779-b1ccfa61e83e · outbound

This paper cites Atiyah and I.M.

A partitioned manifold index theorem for noncompact hypersurfaces Atiyah and I.M

Reference 1

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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.

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Observation 4161fd7d-8c0e-4d3e-8055-e6da15e26e67 · outbound

This paper cites Atiyah and I.M.

A partitioned manifold index theorem for noncompact hypersurfaces Atiyah and I.M

Reference 2

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 0cc2f109-3476-43d9-92f0-e25d87d642ae · outbound

This paper cites an unresolved cited work.

A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work

Reference 3

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 5119f7e6-af5f-4b6a-84a7-6fec8817d791 · outbound

This paper cites Berline, E.

A partitioned manifold index theorem for noncompact hypersurfaces Berline, E

Reference 4

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 3e8b71cb-da1d-4834-bc43-41c547fd9e9e · outbound

This paper cites Coronas and Callias type operators in coarse geometry.

A partitioned manifold index theorem for noncompact hypersurfaces Coronas and Callias type operators in coarse geometry

Reference 5

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local_arxiv, observed 2026-08-06T15:20:00.992251Z

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.

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Observation 02d635cf-ef0c-4205-9c3f-e31bd12dba1b · outbound

This paper cites Connes and H.

A partitioned manifold index theorem for noncompact hypersurfaces Connes and H

Reference 6

Resolution
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raw_fallback, observed 2026-08-06T15:20:01.411480Z

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.

source=pdf_text observed=2026-08-06T15:20:00.809098Z digest=sha256:e05f7d383058755662e0e53f56306e5f30694736f1e961dc04e70c5c014a4f13

Observation 2f926a07-7872-4d05-96d9-467431f610c5 · outbound

This paper cites Conway.A course in functional analysis, volume 96 ofGraduate Texts in Mathematics.

A partitioned manifold index theorem for noncompact hypersurfaces Conway.A course in functional analysis, volume 96 ofGraduate Texts in Mathematics

Reference 7

Resolution
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raw_fallback, observed 2026-08-06T15:20:01.401893Z

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.

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Observation 881e3030-940f-45de-90ac-a875f6dcb592 · outbound

This paper cites The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature.

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

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local_arxiv, observed 2026-08-06T15:20:00.977238Z

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.

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Observation 102313fe-1881-4b8d-b8aa-4dcf3b42f7c6 · outbound

This paper cites an unresolved cited work.

A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work

Reference 9

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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.

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Observation 00acb74a-dacb-44cb-a19b-14f3d5939976 · outbound

This paper cites an unresolved cited work.

A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work

Reference 10

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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.

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Observation 4970a9ba-979f-4c09-b1c6-8b3e1c398897 · outbound

This paper cites an unresolved cited work.

A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work

Reference 11

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation a1c26e96-dc8f-470a-b264-4872071d9ae0 · outbound

This paper cites Higson and J.

A partitioned manifold index theorem for noncompact hypersurfaces Higson and J

Reference 12

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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.

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Observation 1a157413-3419-48f6-9875-5fb524c8af4e · outbound

This paper cites Higson and J.

A partitioned manifold index theorem for noncompact hypersurfaces Higson and J

Reference 13

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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.

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Observation c27d4543-b024-4018-b109-c6b561763b2d · outbound

This paper cites Higson and J.

A partitioned manifold index theorem for noncompact hypersurfaces Higson and J

Reference 14

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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.

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Observation 786433bc-6f6e-475f-91dd-2b8f1ff9b82f · outbound

This paper cites Higson and J.

A partitioned manifold index theorem for noncompact hypersurfaces Higson and J

Reference 15

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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.

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Observation 3ef24c62-332e-47f5-9bad-259aa41f3ae7 · outbound

This paper cites Karami, M.E.

A partitioned manifold index theorem for noncompact hypersurfaces Karami, M.E

Reference 16

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation ac832440-06a3-4a84-8866-624a5c7a1d84 · outbound

This paper cites Lee.Introduction to Smooth Manifolds, volume 218 ofGraduate Texts in Mathematics.

A partitioned manifold index theorem for noncompact hypersurfaces Lee.Introduction to Smooth Manifolds, volume 218 ofGraduate Texts in Mathematics

Reference 17

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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.

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Observation 6c281441-f3c5-4b8b-b332-bc8f7c109dcc · outbound

This paper cites Large-scale quantization of trace I: Finite propagation operators.

A partitioned manifold index theorem for noncompact hypersurfaces Large-scale quantization of trace I: Finite propagation operators

Reference 18

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local_arxiv, observed 2026-08-06T15:20:00.962431Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 528820ec-721f-4179-abff-7c52972858e9 · outbound

This paper cites Paschke.K-theory for commutants in the Calkin algebra.Pacific J.

A partitioned manifold index theorem for noncompact hypersurfaces Paschke.K-theory for commutants in the Calkin algebra.Pacific J

Reference 19

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 621e5e79-382b-45b5-983e-623d2c091afa · outbound

This paper cites Pflaum, H.

A partitioned manifold index theorem for noncompact hypersurfaces Pflaum, H

Reference 20

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 555cfb72-2511-40cf-9219-3dbdcc30c2a4 · outbound

This paper cites Pflaum, H.

A partitioned manifold index theorem for noncompact hypersurfaces Pflaum, H

Reference 21

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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.

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Observation 7ef5e882-8610-4581-a45c-57041a06e099 · outbound

This paper cites an unresolved cited work.

A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work

Reference 22

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 5613182a-94aa-4bee-88f6-149e1f52b3a3 · outbound

This paper cites Roe.Index theory, coarse geometry, and topology of manifolds, volume 90 ofCBMS Re- gional Conference Series in Mathematics.

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

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 7fc1b105-51db-4628-b7e8-9ef3a066921f · outbound

This paper cites an unresolved cited work.

A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work

Reference 24

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Observation feb6b809-34f1-4c1a-917a-db8dff29dfc9 · outbound

This paper cites an unresolved cited work.

A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work

Reference 25

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Observation 16ef7b41-5e49-4931-b1f8-bc67372368fa · outbound

This paper cites Rørdam, F.

A partitioned manifold index theorem for noncompact hypersurfaces Rørdam, F

Reference 26

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Observation db376e9c-58e0-4f11-b78e-6df7767efd48 · outbound

This paper cites Schick and M.E.

A partitioned manifold index theorem for noncompact hypersurfaces Schick and M.E

Reference 27

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Observation b2f4e95c-d7e4-4447-b40a-92c0e2a10c68 · outbound

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A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work

Reference 28

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 597876a2-bf24-488e-877d-6f98a326048b · outbound

This paper cites Willett and G.

A partitioned manifold index theorem for noncompact hypersurfaces Willett and G

Reference 29

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Observation 2fc826b5-e7a2-43ef-9b2f-990eb93e1ce9 · outbound

This paper cites an unresolved cited work.

A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work

Reference 30

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 92aa1bca-e4b6-4ac2-b9a8-93db6f9fbcef · outbound

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A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work

Reference 31

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation b0e1ba61-3f68-4c82-97de-ae5411d487ae · outbound

This paper cites an unresolved cited work.

A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work

Reference 32

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 30a6cb80-e794-481d-9008-567d609e8d2b · outbound

This paper cites an unresolved cited work.

A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work

Reference 33

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 155fe865-97c1-4bb6-93c8-f3fd8531d359 · outbound

This paper cites an unresolved cited work.

A partitioned manifold index theorem for noncompact hypersurfaces Unresolved cited work

Reference 34

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Pith citing papers

No inbound Pith citation observations are available.