Paper Citation Record · LEDGER

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay

As of 7 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 2 inbound Pith citation observations for arXiv:2508.04173.

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

pith.paper-citation-record.v1
2508.04173 v2

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:54:05.281078Z

measured 33 of 33 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:54:42.361175Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T00:35:51.162702Z

Reference resolution

31 of 31 outbound references displayed

verified exact2
verified fuzzy23
unresolved6
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b051a161-aadb-40b6-a28f-82c737879c4c · outbound

This paper cites Complete 3-manifolds of positive scalar curvature with quadratic decay.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Complete 3-manifolds of positive scalar curvature with quadratic decay

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:11.852655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation ff634b9f-3a39-4faf-9bf2-38c8dc75aab8 · outbound

This paper cites Ricci flow on open 3--manifolds and positive scalar curvature.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Ricci flow on open 3--manifolds and positive scalar curvature

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:11.576982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 5b444aba-9a3c-4421-aee2-fdd4c7ba2ebe · outbound

This paper cites Marques, and Andre Neves.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Marques, and Andre Neves

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:11.378719Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 4a8f7a4a-67fc-4c49-8c8e-ffe1ab7b3edd · outbound

This paper cites Taming 3-manifolds using scalar curvature.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Taming 3-manifolds using scalar curvature

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:11.115153Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 3514e17f-6ecf-4e5b-8e99-6fdabb5190af · outbound

This paper cites A generalization of the G eroch conjecture with arbitrary ends.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay A generalization of the G eroch conjecture with arbitrary ends

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:10.771808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation d1591eb8-1af6-484c-96b6-74245ad56746 · outbound

This paper cites Positive scalar curvature metrics and aspherical summands.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Positive scalar curvature metrics and aspherical summands

Reference 6

Resolution: verified exact; raw_fallback, observed 2026-08-06T00:54:05.953725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a0b94b36-223f-43e8-a34c-dc7e75a242f5 · outbound

This paper cites Generalized soap bubbles and the topology of manifolds with positive scalar curvature.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Generalized soap bubbles and the topology of manifolds with positive scalar curvature

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:10.574036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 110194e9-4b14-4537-90c3-dcf58d750887 · outbound

This paper cites Classifying sufficiently connected psc manifolds in 4 and 5 dimensions.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Classifying sufficiently connected psc manifolds in 4 and 5 dimensions

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:10.378916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation acebf647-0db1-4aab-9fc4-1ec7da8c6eaa · outbound

This paper cites Complete Riemannian 4-manifolds with uniformly positive scalar curvature.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Complete Riemannian 4-manifolds with uniformly positive scalar curvature

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-06T00:54:02.738185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ef4712e-c4d9-42b0-82cd-14af139e11d9 · outbound

This paper cites A metric approach to the study of manifolds of positive scalar curvature.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay A metric approach to the study of manifolds of positive scalar curvature

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:10.228774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a23c1c8c-940a-4f8d-8ad3-e8d13446ab65 · outbound

This paper cites C^ approximations of convex, subharmonic, and plurisubharmonic functions.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay C^ approximations of convex, subharmonic, and plurisubharmonic functions

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:09.995170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 31ce4319-aa26-43b7-a6e1-8ebcadbd1725 · outbound

This paper cites Positive curvature, macroscopic dimension, spectral gaps and higher signatures.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Positive curvature, macroscopic dimension, spectral gaps and higher signatures

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:09.715987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation d48db693-5104-4135-86a7-121dcb20c89c · outbound

This paper cites The classification of simply connected manifolds of positive scalar curvature.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay The classification of simply connected manifolds of positive scalar curvature

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:09.441312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation ddbcf945-4c7d-4719-880d-f4e4caff85c2 · outbound

This paper cites Spin and scalar curvature in the presence of a fundamental group.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Spin and scalar curvature in the presence of a fundamental group

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:09.118934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 47cd55c6-d524-42a5-b8a7-5408d03f3414 · outbound

This paper cites Positive scalar curvature and the dirac operator on complete riemannian manifolds.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Positive scalar curvature and the dirac operator on complete riemannian manifolds

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:08.902729Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 487f29e2-56e8-4e3d-adaf-a41e21109e24 · outbound

This paper cites Metric inequalities with scalar curvature.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Metric inequalities with scalar curvature

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:08.681495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0b27fd6c-19cf-4878-8c16-93e34f34609d · outbound

This paper cites Four Lectures on Scalar Curvature , chapter 1, pages 1--514.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Four Lectures on Scalar Curvature , chapter 1, pages 1--514

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:08.418411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation ebed5d1d-cc5b-41e2-8953-40de774b3c51 · outbound

This paper cites Geschlossene fl \"a chen in dreidimensionalen mannigfaltigkeiten.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Geschlossene fl \"a chen in dreidimensionalen mannigfaltigkeiten

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:08.163398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation d5cc0544-76e4-42e0-b8a3-fd2f03d7a97a · outbound

This paper cites Some open 3--manifolds and 3--orbifolds without locally finite canonical decompositions.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Some open 3--manifolds and 3--orbifolds without locally finite canonical decompositions

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:07.926262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 5624dfea-a98b-4592-af5e-2e27781b0a8c · outbound

This paper cites Positive mass theorem on manifolds admitting corners along a hypersurface.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Positive mass theorem on manifolds admitting corners along a hypersurface

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:07.673077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 9da5ad89-a9ea-4b2b-973e-4748686af2ce · outbound

This paper cites A unique decomposition theorem for 3-manifolds.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay A unique decomposition theorem for 3-manifolds

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:07.406784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation c2d51646-546f-411b-9c14-02980166c87e · outbound

This paper cites The entropy formula for the Ricci flow and its geometric applications.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay The entropy formula for the Ricci flow and its geometric applications

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T00:54:04.283173Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 970f112b-4848-4482-8966-1eba7a2fabb8 · outbound

This paper cites Finite extinction time for the solutions to the Ricci flow on certain three-manifolds.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Finite extinction time for the solutions to the Ricci flow on certain three-manifolds

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T00:54:04.393808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb45acbb-107f-4d50-8b00-6f4f43a31988 · outbound

This paper cites Ricci flow with surgery on three-manifolds.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Ricci flow with surgery on three-manifolds

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-06T00:54:04.573007Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a42d510-f111-400b-8c38-e6c18bd7a102 · outbound

This paper cites an unresolved cited work.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T00:54:07.235791Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 8425be25-54c5-4247-8963-920b96d22db8 · outbound

This paper cites Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Existence of incompressible minimal surfaces and the topology of three dimensional manifolds with non-negative scalar curvature

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:06.941731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 1474d7f9-fd2c-4059-b855-8a84b3d54443 · outbound

This paper cites On the structure of manifolds with positive scalar curvature.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay On the structure of manifolds with positive scalar curvature

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:06.734019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation b3f17497-726b-4174-8892-ad836ed6e1a0 · outbound

This paper cites Fundamental groups of non-compact 3-manifolds.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Fundamental groups of non-compact 3-manifolds

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:06.518689Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 635bd773-693e-4d60-a97c-daf08ad653dc · outbound

This paper cites Positive curvature conditions on contractible manifolds.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Positive curvature conditions on contractible manifolds

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-06T00:54:05.572807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 2a08f8a0-9f9e-4f25-ad1b-86a51ad8e42f · outbound

This paper cites Topology of $3$-manifolds with uniformly positive scalar curvature.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Topology of $3$-manifolds with uniformly positive scalar curvature

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-06T00:54:05.180928Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b2078314-8454-4afa-ab8b-7999607e339a · outbound

This paper cites Width estimate and doubly warped product.

Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay Width estimate and doubly warped product

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:54:06.239846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Pith citing papers

Observation 6b1f08df-1322-4ce3-b1c2-a0c0fc4f8c09 · inbound

Rapid parameter estimation with the full symphony of compact binary mergers using meshfree approximation cites this paper.

Rapid parameter estimation with the full symphony of compact binary mergers using meshfree approximation Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-06T00:54:42.361175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2cee5ff-53da-4d81-b15a-79cd83457f3c · inbound

Linking at Infinity and Scalar Curvature Decay on Non-Compact Manifolds cites this paper.

Linking at Infinity and Scalar Curvature Decay on Non-Compact Manifolds Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:35:51.166391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.