Paper Citation Record · LEDGER

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature

As of 8 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2607.25015.

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

pith.paper-citation-record.v1
2607.25015 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-31T03:42:57.165427Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

27 of 27 outbound references displayed

verified exact11
verified fuzzy0
unresolved15
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ea97e6a7-e637-4055-9b04-9e7535af043f · outbound

This paper cites Ambrosio, N.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Ambrosio, N

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-31T03:42:57.057597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1539b93a-a1bb-4332-b278-a9f90f963019 · outbound

This paper cites Aubin,Some Nonlinear Problems in Riemannian Geometry, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 1998, doi:10.1007/978-3-662-13006-3.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Aubin,Some Nonlinear Problems in Riemannian Geometry, Springer Monographs in Mathematics, Springer-Verlag, Berlin, 1998, doi:10.1007/978-3-662-13006-3

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-31T03:42:57.062806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c1f67402-8e93-4fd8-9dc0-78e975345c75 · outbound

This paper cites Azagra, J.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Azagra, J

Reference 3

Resolution: verified exact; doi, observed 2026-07-31T03:45:52.551292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1fbf7405-1440-425c-a559-0f258ec27d3c · outbound

This paper cites Cannarsa and C.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Cannarsa and C

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-31T03:42:57.071527Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e144feee-1fde-4cef-858a-6498d2e849cb · outbound

This paper cites 3-Manifolds with positive scalar curvature and bounded geometry.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature 3-Manifolds with positive scalar curvature and bounded geometry

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-31T03:42:57.076057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c4047f2-e885-41d3-b558-2ee81289755e · outbound

This paper cites Gradient estimates for scalar curvature.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Gradient estimates for scalar curvature

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-31T03:42:57.080398Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 09ca7e00-0b9a-4af1-8457-40f499b325f7 · outbound

This paper cites Gilbarg and J.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Gilbarg and J

Reference 7

Resolution: verified exact; doi, observed 2026-07-31T03:45:52.440657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ac6704d3-1ea7-4860-9f9d-7b098e21f951 · outbound

This paper cites Gromov and H.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Gromov and H

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-31T03:42:57.089330Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf4e0433-e331-45d7-b4c9-bb611d366af6 · outbound

This paper cites Gromov,Four lectures on scalar curvature, inPerspectives in Scalar Curvature, Vol.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Gromov,Four lectures on scalar curvature, inPerspectives in Scalar Curvature, Vol

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-31T03:42:57.093299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 216335d3-a070-43cc-96a9-2ffc4b9e13d8 · outbound

This paper cites Grigor’yan,Heat Kernel and Analysis on Manifolds, AMS/IP Studies in Ad- vanced Mathematics, vol.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Grigor’yan,Heat Kernel and Analysis on Manifolds, AMS/IP Studies in Ad- vanced Mathematics, vol

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-31T03:42:57.097248Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f50e2ae1-c3c2-462a-9b67-0721eef341b9 · outbound

This paper cites Hansen and I.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Hansen and I

Reference 11

Resolution: verified exact; doi, observed 2026-07-31T03:45:52.271936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 37f0e749-1ee7-422f-8ba7-44ff8232edbc · outbound

This paper cites Hardt, M.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Hardt, M

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-31T03:42:57.105227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da3028c4-0204-48c3-985e-02fa4ae7c868 · outbound

This paper cites Henrot and M.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Henrot and M

Reference 13

Resolution: malformed identifier; no resolver link, observed 2026-07-31T03:42:57.109315Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7f3bc545-ada2-40c3-989d-034ae2f537a2 · outbound

This paper cites an unresolved cited work.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Unresolved cited work

Reference 14

Resolution: verified exact; doi, observed 2026-07-31T03:45:52.148662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6e264120-4e6d-40cb-8316-c2800c634574 · outbound

This paper cites Hurtado, V.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Hurtado, V

Reference 15

Resolution: verified exact; doi, observed 2026-07-31T03:45:52.008143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bb773c7e-6392-406c-aa89-858e0b3ce5ae · outbound

This paper cites an unresolved cited work.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Unresolved cited work

Reference 16

Resolution: verified exact; doi, observed 2026-07-31T03:45:51.829448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1e081747-a5fa-4832-845c-2d90881422f1 · outbound

This paper cites an unresolved cited work.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Unresolved cited work

Reference 17

Resolution: verified exact; doi, observed 2026-07-31T03:45:51.724453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a1406a4c-9dd4-4c17-8264-c2560ca6390c · outbound

This paper cites Kato,Perturbation Theory for Linear Operators, Classics in Mathematics, Springer- Verlag, Berlin, 1995, reprint of the 1980 second edition, doi:10.1007/978-3-642-66282-9.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Kato,Perturbation Theory for Linear Operators, Classics in Mathematics, Springer- Verlag, Berlin, 1995, reprint of the 1980 second edition, doi:10.1007/978-3-642-66282-9

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-31T03:42:57.129244Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation acd6557a-10c0-4a06-b4da-e95314dd5210 · outbound

This paper cites an unresolved cited work.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-31T03:42:57.133239Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0a9c6913-4e8b-4a05-9e03-ffd0973790d0 · outbound

This paper cites Noncompact Fill-Ins of Bartnik Data.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Noncompact Fill-Ins of Bartnik Data

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-31T03:42:57.137009Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1226342b-1450-44d3-90e9-b5cf3a9d643e · outbound

This paper cites an unresolved cited work.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Unresolved cited work

Reference 21

Resolution: verified exact; doi, observed 2026-07-31T03:45:51.593283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 09d4f344-8469-4bee-a0cf-6c1d39faa3e2 · outbound

This paper cites Schoen and S.-T.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Schoen and S.-T

Reference 22

Resolution: verified exact; doi, observed 2026-07-31T03:45:51.425734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7338a491-858c-470b-bfa7-88c494e035ac · outbound

This paper cites Schiffer,Hadamard’s formula and variation of domain-functions, Amer.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Schiffer,Hadamard’s formula and variation of domain-functions, Amer

Reference 23

Resolution: verified exact; doi, observed 2026-07-31T03:45:51.269510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d2138e9c-e9fe-4f71-acd4-44d83a6e010b · outbound

This paper cites Wang,Contractible 3-manifold and positive scalar curvature (I), J.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Wang,Contractible 3-manifold and positive scalar curvature (I), J

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-31T03:42:57.153547Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11d5e569-b794-4de6-8212-1f0654812bb6 · outbound

This paper cites Wang,Contractible 3-manifolds and positive scalar curvature (II), J.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Wang,Contractible 3-manifolds and positive scalar curvature (II), J

Reference 25

Resolution: verified exact; doi, observed 2026-07-31T03:45:51.097350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7ed74474-2ef6-4a55-8ca3-07aeac80b0f2 · outbound

This paper cites Yau,Problem section, inSeminar on Differential Geometry, Annals of Mathe- matics Studies, vol.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Yau,Problem section, inSeminar on Differential Geometry, Annals of Mathe- matics Studies, vol

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-31T03:42:57.161497Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36192369-a83e-40ed-b805-5c35ee3d152d · outbound

This paper cites Topology of 3-manifolds with nonnegative scalar curvature and positive harmonic functions.

Topological Rigidity of Contractible 3-Manifolds and Handlebody Interiors under Nonnegative Scalar Curvature Topology of 3-manifolds with nonnegative scalar curvature and positive harmonic functions

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-31T03:42:57.165427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.