Paper Citation Record · LEDGER

Contractibility results for certain spaces of Riemannian metrics on the disc

As of 16 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 0 inbound Pith citation observations for arXiv:1908.02475.

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

pith.paper-citation-record.v1
1908.02475 v2

Coverage vector

measured 38 of 38 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-14T14:53:54.536025Z

measured 38 of 38 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

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measured 0 of 1 external citation measurements

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Reference resolution

38 of 38 outbound references displayed

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External citation measurements

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Outbound references

Observation 618ffd9a-b086-429b-8770-38aca9f789de · outbound

This paper cites Ahlfors, L.

Contractibility results for certain spaces of Riemannian metrics on the disc Ahlfors, L

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.981272Z

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Observation e67269de-eb30-44e8-a638-c7323f0d2d10 · outbound

This paper cites Ricci flow and contractibility of spaces of metrics.

Contractibility results for certain spaces of Riemannian metrics on the disc Ricci flow and contractibility of spaces of metrics

Reference 2

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Observation bf044c05-47b1-43a4-be7f-93030a24cefa · outbound

This paper cites Botvinnik, J.

Contractibility results for certain spaces of Riemannian metrics on the disc Botvinnik, J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.969799Z

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Observation cb8dac16-40bf-4843-95d6-5ce36b1b1763 · outbound

This paper cites Botvinnik, P.

Contractibility results for certain spaces of Riemannian metrics on the disc Botvinnik, P

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.959666Z

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Observation c46b2a91-d422-467d-99a6-c1f88ddd8cee · outbound

This paper cites Botvinnik, B.

Contractibility results for certain spaces of Riemannian metrics on the disc Botvinnik, B

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.948882Z

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Observation 731e880a-f275-4f51-b2e7-fa7755d87917 · outbound

This paper cites Botvinnik, D.

Contractibility results for certain spaces of Riemannian metrics on the disc Botvinnik, D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.939267Z

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Observation e42d284a-ed29-4899-a556-ae89536a219c · outbound

This paper cites Constrained deformations of positive scalar curvature metrics.

Contractibility results for certain spaces of Riemannian metrics on the disc Constrained deformations of positive scalar curvature metrics

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T14:53:54.422510Z

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Observation 44b57f44-b562-4121-a3b5-a21d39080e94 · outbound

This paper cites Carr, Construction of manifolds of positive scalar curvature , Trans.

Contractibility results for certain spaces of Riemannian metrics on the disc Carr, Construction of manifolds of positive scalar curvature , Trans

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.929106Z

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Observation 69051c00-2ff7-40c3-bbf7-8f96492f407c · outbound

This paper cites Donaldson, Riemann surfaces , Oxford Graduate Texts in Mathematics, 22.

Contractibility results for certain spaces of Riemannian metrics on the disc Donaldson, Riemann surfaces , Oxford Graduate Texts in Mathematics, 22

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.918187Z

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Observation 8a836e2a-ae01-44b0-956a-ee61860e3fc7 · outbound

This paper cites Earle, J.

Contractibility results for certain spaces of Riemannian metrics on the disc Earle, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.907420Z

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Observation a26aa446-5b68-4faf-9cbf-8e29bf90dc3a · outbound

This paper cites Earle, A.

Contractibility results for certain spaces of Riemannian metrics on the disc Earle, A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.897765Z

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Observation 504ebb3c-8d61-4736-b4a6-70d63bdd3d78 · outbound

This paper cites Riemannian.

Contractibility results for certain spaces of Riemannian metrics on the disc Riemannian

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.888211Z

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Observation 070c9b29-90b2-4096-ad10-0e4f4f86b3e1 · outbound

This paper cites Griﬃths, Introduction to algebraic curves, Translated from the Chinese by Kuniko Weltin.

Contractibility results for certain spaces of Riemannian metrics on the disc Griﬃths, Introduction to algebraic curves, Translated from the Chinese by Kuniko Weltin

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.875675Z

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Observation c156591b-b417-47fb-8377-b3550a0f333b · outbound

This paper cites Gromov, Stable mappings of foliations into manifolds , (Russian) Izv.

Contractibility results for certain spaces of Riemannian metrics on the disc Gromov, Stable mappings of foliations into manifolds , (Russian) Izv

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.863639Z

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Observation 0aaa25c2-c9b6-4e47-abf0-2a2b112950ee · outbound

This paper cites Gromov, H.

Contractibility results for certain spaces of Riemannian metrics on the disc Gromov, H

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.853351Z

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Observation 69b4838e-5082-465f-9d3d-0b96d064cc4d · outbound

This paper cites Gromov, H.

Contractibility results for certain spaces of Riemannian metrics on the disc Gromov, H

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.842358Z

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Observation 55b32b98-12bc-4072-963f-7b46b213ca91 · outbound

This paper cites Gromov, H.

Contractibility results for certain spaces of Riemannian metrics on the disc Gromov, H

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.832597Z

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Observation f40d3d0b-dc25-4f05-8fba-f5eca6e04e3a · outbound

This paper cites Hanke, T.

Contractibility results for certain spaces of Riemannian metrics on the disc Hanke, T

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.822336Z

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Observation 404bc2aa-f951-48c9-9224-1416c782f9ab · outbound

This paper cites Hitchin, Harmonic spinors , Advances in Math.

Contractibility results for certain spaces of Riemannian metrics on the disc Hitchin, Harmonic spinors , Advances in Math

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.810835Z

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Observation fabaf73e-a251-44e9-9410-87233cd637c8 · outbound

This paper cites Kazdan, F.

Contractibility results for certain spaces of Riemannian metrics on the disc Kazdan, F

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.800076Z

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Observation 69550369-fbec-45a7-b3b3-bb2a5fda931f · outbound

This paper cites Kazdan, F.

Contractibility results for certain spaces of Riemannian metrics on the disc Kazdan, F

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.789217Z

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Observation 8f664ce6-399e-4bc3-89da-6d9be195412f · outbound

This paper cites Kreck, S.

Contractibility results for certain spaces of Riemannian metrics on the disc Kreck, S

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.779022Z

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Observation b1780b0d-3d6b-43cb-8b0b-ad9d49e33ef3 · outbound

This paper cites Lang, Complex analysis , Fourth edition.

Contractibility results for certain spaces of Riemannian metrics on the disc Lang, Complex analysis , Fourth edition

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.767567Z

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Observation 6938dbdd-ea2b-444a-bba1-2ba380215c14 · outbound

This paper cites Marques, Deforming three-manifolds with positive scalar curvature , Ann.

Contractibility results for certain spaces of Riemannian metrics on the disc Marques, Deforming three-manifolds with positive scalar curvature , Ann

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.755625Z

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Observation 7d05d06a-e090-43c7-a244-c4ad581f01cb · outbound

This paper cites Nirenberg, The Weyl and Minkowski problems in diﬀerential geometry in th e large, Comm.

Contractibility results for certain spaces of Riemannian metrics on the disc Nirenberg, The Weyl and Minkowski problems in diﬀerential geometry in th e large, Comm

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.743713Z

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Observation 6fd22e48-daac-4493-8307-5130222265b8 · outbound

This paper cites Perelman, The entropy formula for the Ricci ﬂow and its geometric appli cations, preprint (arXiv: 0211159).

Contractibility results for certain spaces of Riemannian metrics on the disc Perelman, The entropy formula for the Ricci ﬂow and its geometric appli cations, preprint (arXiv: 0211159)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.731998Z

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Observation 589bb447-2509-4165-afd0-81f4f71d2e0e · outbound

This paper cites Perelman, Finite extinction time for the solution to the Ricci ﬂow on ce rtain three-manifolds, preprint (arXiv: 0307245).

Contractibility results for certain spaces of Riemannian metrics on the disc Perelman, Finite extinction time for the solution to the Ricci ﬂow on ce rtain three-manifolds, preprint (arXiv: 0307245)

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.720724Z

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Observation 3beeaa48-1ca3-4f3c-86af-76ec32dc5816 · outbound

This paper cites Perelman, Ricci ﬂow with surgery on three-manifolds , preprint (arXiv: 0303109).

Contractibility results for certain spaces of Riemannian metrics on the disc Perelman, Ricci ﬂow with surgery on three-manifolds , preprint (arXiv: 0303109)

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.708025Z

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Observation 5f005011-7fe4-4427-9557-c92ad7c43d5d · outbound

This paper cites Rosenberg, S.

Contractibility results for certain spaces of Riemannian metrics on the disc Rosenberg, S

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.696459Z

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Observation 0ef53748-6069-4a65-b02b-45caf9d31bae · outbound

This paper cites Ruberman, Positive scalar curvature, diﬀeomorphisms and the Seiberg- Witten invariants , Geom.

Contractibility results for certain spaces of Riemannian metrics on the disc Ruberman, Positive scalar curvature, diﬀeomorphisms and the Seiberg- Witten invariants , Geom

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.685228Z

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Observation e792ed85-560f-460a-8272-7def1c1f3359 · outbound

This paper cites Schoen, S.-T.

Contractibility results for certain spaces of Riemannian metrics on the disc Schoen, S.-T

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.672580Z

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Observation 1065dde9-21b5-482a-a42f-8ffbbb7b05f4 · outbound

This paper cites Schoen, S.-T.

Contractibility results for certain spaces of Riemannian metrics on the disc Schoen, S.-T

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.658156Z

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Observation a9193e4f-7dff-449b-b8e9-6d9e5ce9c10f · outbound

This paper cites Schoen, S.-T.

Contractibility results for certain spaces of Riemannian metrics on the disc Schoen, S.-T

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.647365Z

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Observation 452baabc-db4b-4a3f-a68f-cc7ed4b3e971 · outbound

This paper cites Positive Scalar Curvature and Minimal Hypersurface Singularities.

Contractibility results for certain spaces of Riemannian metrics on the disc Positive Scalar Curvature and Minimal Hypersurface Singularities

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-14T14:53:54.520170Z

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Unavailable: canonical work link unavailable.

Observation 4d4eaea2-ca81-4e98-a4f0-919d061e6660 · outbound

This paper cites Smale, Diﬀeomorphisms of the 2-sphere , Proc.

Contractibility results for certain spaces of Riemannian metrics on the disc Smale, Diﬀeomorphisms of the 2-sphere , Proc

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.635450Z

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Observation c4d36eda-2727-466d-a69b-fcea516c2b4c · outbound

This paper cites Stolz, Simply connected manifolds of positive scalar curvature , Ann.

Contractibility results for certain spaces of Riemannian metrics on the disc Stolz, Simply connected manifolds of positive scalar curvature , Ann

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.623394Z

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Observation 30abd683-663a-46b3-9f03-f1d51a576434 · outbound

This paper cites The Space of Positive Scalar Curvature Metrics on a Manifold with Boundary.

Contractibility results for certain spaces of Riemannian metrics on the disc The Space of Positive Scalar Curvature Metrics on a Manifold with Boundary

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-14T14:53:54.566802Z

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Observation 773cf1eb-159f-4fa6-b09e-d1dfbc49f33d · outbound

This paper cites Weyl, ¨Uber die Bestimmung einer geschlossenen konvexen Fl¨ ache durch ihr Linienelement, Vierteljahrschr, Naturforsch.

Contractibility results for certain spaces of Riemannian metrics on the disc Weyl, ¨Uber die Bestimmung einer geschlossenen konvexen Fl¨ ache durch ihr Linienelement, Vierteljahrschr, Naturforsch

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T14:53:54.610600Z

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