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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 13 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 2026-08-13T06:32:02.005865+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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T00:28:41.644792Z digest=sha256:5bf10acdf2051669ea68ba92691267b82cbd24ea44c3bc227832bc0b4ed565a5

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T00:28:42.301927Z digest=sha256:033b2236694535958467a7a1d2487be9a10d7c86e6e8edad748193777f28cbf7

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T00:28:42.007496Z digest=sha256:5158cd47ebd21717c34114907b132e7255548e6d689b6d0db7904266cab63ce6

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T00:28:41.788822Z digest=sha256:b693c4ab9ac1a811259544b3e1299f69dbf70065fa886490ac0af224f5fcb8f0

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:d1f5f3601833ce1d37f9a9037c2738d40463eb3599ab2f136aa5e056301e8f61

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T00:28:41.900534Z digest=sha256:5ed9a92c8ee170cfced5432e5962646ddc81d84e788d6c9b723730f3f235c271

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T00:28:42.093844Z digest=sha256:f01fbbe99e4f30a49d9a0758c633d55cbccfdcef245f766486fec3b498ead548

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T00:28:42.211219Z digest=sha256:a36a2306b86427c84350ed257f874cfc08f6129a907965d40ab1f61ec4491f70

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T00:28:41.549950Z digest=sha256:07253391ccb2d94c1031db411d3014895bff4976052608dc814d4bf5885c7dcd

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T00:28:42.483082Z digest=sha256:74575fae00ad9aafb2b93ba41f91c074c0162a8716f94e84963c8db8c67d36c0

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-07T00:28:42.402312Z digest=sha256:415fbebfd8d3813fe4d62621c271ff4d7f26291849b11fa7e6441642018e9a6a

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 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T15:20:00.819489Z digest=sha256:b56dd4be9141a7b0cf10af89c586d1d529fbe36771fe56df741ae39e163486bf