Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T00:54:05.281078Z
Paper Citation Record · LEDGER
Optimal decay constant for complete manifolds of positive scalar curvature with quadratic decay
As of 12 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.
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Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T00:54:42.361175Z
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
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- verified fuzzy23
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External citation measurements
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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
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- 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 2026-08-12T06:34:41.77262+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
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- 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 2026-08-12T06:34:41.77262+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
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- raw_fallback, observed 2026-08-06T00:54:11.378719Z
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 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
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- raw_fallback, observed 2026-08-06T00:54:11.115153Z
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 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
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- 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 2026-08-12T06:34:41.77262+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
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- 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 2026-08-12T06:34:41.77262+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
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- 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 2026-08-12T06:34:41.77262+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
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- 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 2026-08-12T06:34:41.77262+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
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- 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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
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- 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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
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- 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 2026-08-12T06:34:41.77262+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
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- 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 2026-08-12T06:34:41.77262+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
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- 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 2026-08-12T06:34:41.77262+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
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- 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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
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- 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 2026-08-12T06:34:41.77262+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
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- 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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
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 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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
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- 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 2026-08-12T06:34:41.77262+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
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- raw_fallback, observed 2026-08-06T00:54:06.239846Z
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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+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
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- 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 2026-08-12T06:34:41.77262+00:00.