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Paper Citation Record · LEDGER

The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature

As of 23 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 1 inbound Pith citation observation for arXiv:2506.14301.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.14301 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:28:42.483082Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:20:00.819489Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T15:20:00.973604Z

Reference resolution

11 of 11 outbound references displayed

  • verified exact6
  • verified fuzzy1
  • unresolved1
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation e6839b85-c2a9-4db5-bafa-d37c26eb1d74 · outbound

This paper cites Dualizing the coarse assembly map.

The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature Dualizing the coarse assembly map

Reference 2

Resolution
verified exact
doi, observed 2026-08-07T00:28:43.730813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T00:28:41.644792Z digest=sha256:292c96fe438ae5b7f338d186f024c5ed98b8e4f6388a926ec8428742f3e22935

Observation bd1aeb90-84f3-4412-af8b-f2ddcabd2d65 · outbound

This paper cites [Wul22b] C.

The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature [Wul22b] C

Reference 62

Resolution
verified exact
doi, observed 2026-08-07T00:28:43.102251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T00:28:42.301927Z digest=sha256:857c28d0deab16145b063dc34aff246841082ec369fae7c739c384ac24696ccc

Observation 5b3b07e3-e0ff-44d3-a1ba-adc44a8dc2d8 · outbound

This paper cites Cambridge University Press, 1988, pp.

The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature Cambridge University Press, 1988, pp

Reference 135

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:28:44.797457Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T00:28:42.007496Z digest=sha256:67bf2c7f402eb8868941682394ca5477dea65fe513cff19663eca30712c79312

Observation 4730da67-423e-4ff6-8289-a63c0547b69f · outbound

This paper cites EquivariantE-theory forC ∗-algebras.

The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature EquivariantE-theory forC ∗-algebras

Reference 1831

Resolution
verified exact
raw_fallback, observed 2026-08-07T00:28:44.312560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T00:28:41.788822Z digest=sha256:b5c74671fcf9d12c2b4c448e020f4520d435f0dafd6d7b884693c0777ba6473c

Observation f46818f6-855e-492a-8e9c-6dafbb935341 · outbound

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

The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature Coronas and Callias type operators in coarse geometry

Reference 1970

Resolution
unresolved
no resolver link, observed 2026-08-07T00:28:41.454419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:28:41.454419Z digest=sha256:4306ae9557ae5f32dbddd025077d5c5fc75d6f3f0c3a653f4c2b2f75b07a1c8b

Observation d70a83b2-6f22-4fc0-bb3d-ef198d2c60f5 · outbound

This paper cites Positive curvature, partial vanishing theorems and coarse indices.

The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature Positive curvature, partial vanishing theorems and coarse indices

Reference 1989

Resolution
verified exact
doi, observed 2026-08-07T00:28:43.517699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T00:28:41.900534Z digest=sha256:c7fbb4b1fdb7f6914a39142ccba40f8b02f5d9ceb7a5a4ce38665e96e37dbd92

Observation 9a593432-5054-410a-a315-012b985f805c · outbound

This paper cites The Mayer-Vietoris Sequence for the Analytic Structure Group.

The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature The Mayer-Vietoris Sequence for the Analytic Structure Group

Reference 1996

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T00:28:43.949657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T00:28:42.093844Z digest=sha256:5ecfd2837ceff5853e00fff39dc0bad4de3516dc57517f1ad50ab9abe5d8cad9

Observation 8f76f5c3-39bc-4566-ba9e-cbd7be5b3a2d · outbound

This paper cites Large scale index of multi-partitioned manifolds.

The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature Large scale index of multi-partitioned manifolds

Reference 2012

Resolution
verified exact
doi, observed 2026-08-07T00:28:43.292089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T00:28:42.211219Z digest=sha256:2ae667c8ec6e0979ac395c098e851e5ade743817e81197026ea7920161ef80ea

Observation 36348679-664f-4288-9cf4-6e99ab28372a · outbound

This paper cites Elliptic regularity for Dirac operators on families of noncompact manifolds.

The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature Elliptic regularity for Dirac operators on families of noncompact manifolds

Reference 2018

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T00:28:44.570257Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T00:28:41.549950Z digest=sha256:81165185265471ea1b481c6e8de3f6010721cad0f8af5cd86e604540140eaef0

Observation 2b7422da-3ba5-4152-a8e7-9ec0138d12ae · outbound

This paper cites Positive scalar curvature and product formulas for secondary index invariants.

The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature Positive scalar curvature and product formulas for secondary index invariants

Reference 2020

Resolution
verified exact
doi, observed 2026-08-07T00:28:42.675100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T00:28:42.483082Z digest=sha256:3f41c53928cc26f3701f2e27da91650104ddc5d6d83f2f60e73c4461b9934875

Observation f6376bfc-5a87-44ca-bb58-3fc246a594e3 · outbound

This paper cites Generalized asymptotic algebras and $\mathrm{E}$-theory for non-separable $\mathrm{C}^*$-algebras.

The relative index in coarse index theory and submanifold obstructions to uniform positive scalar curvature Generalized asymptotic algebras and $\mathrm{E}$-theory for non-separable $\mathrm{C}^*$-algebras

Reference 2022

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T00:28:42.864511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T00:28:42.402312Z digest=sha256:d227b563610932a79a5952376f6b6b0796a6d6121e9bb05bc3854dc23d01955a

Pith citing papers

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

A partitioned manifold index theorem for noncompact hypersurfaces cites this paper.

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

Resolution
verified exact
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 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-06T15:20:00.819489Z digest=sha256:8c12824e1d536379ce27816a0c1c9735ba9c2446c470bb1c5c29b2aa97ffe957