Paper Citation Record · LEDGER

Fill-Ins of Tori with Scalar Curvature Bounded from Below

As of 13 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2411.14667.

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

pith.paper-citation-record.v1
2411.14667 v1

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:14:25.889056Z

measured 25 of 25 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 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

25 of 25 outbound references displayed

verified exact0
verified fuzzy22
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation cc4fb42a-246a-4450-90a5-fabd9ad3df6c · outbound

This paper cites an unresolved cited work.

Fill-Ins of Tori with Scalar Curvature Bounded from Below Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:14:26.230573Z

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.

Observation dcceb7a2-99c0-4cd2-a47f-3cc16c2eb454 · outbound

This paper cites Boundary conditions for scalar curvature.

Fill-Ins of Tori with Scalar Curvature Bounded from Below Boundary conditions for scalar curvature

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:26.218822Z

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.

Observation cdf2ce37-60d2-4140-a789-ae4b5bd015b4 · outbound

This paper cites Quasi-spherical metrics and prescribed scalar curvature.

Fill-Ins of Tori with Scalar Curvature Bounded from Below Quasi-spherical metrics and prescribed scalar curvature

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:26.205582Z

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.

Observation 3ef4d4e6-d095-4a6d-8100-206145763915 · outbound

This paper cites Rigidity phenomena involving scalar curvature.

Fill-Ins of Tori with Scalar Curvature Bounded from Below Rigidity phenomena involving scalar curvature

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:26.192276Z

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.

Observation 5c262ff1-c2ad-4d28-9663-c76e82ce7712 · outbound

This paper cites an unresolved cited work.

Fill-Ins of Tori with Scalar Curvature Bounded from Below Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-12T15:14:25.812108Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71ece85b-87c5-4fa2-b481-95fb0e26368b · outbound

This paper cites C., and Neves, A.

Fill-Ins of Tori with Scalar Curvature Bounded from Below C., and Neves, A

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:26.172310Z

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.

Observation e5c154d2-6b55-40c1-b1b2-79c78f01d826 · outbound

This paper cites D., and York, Jr., J.

Fill-Ins of Tori with Scalar Curvature Bounded from Below D., and York, Jr., J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:26.160146Z

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.

Observation 5bb0bb9a-3e6a-4948-91b5-9713eefe61b6 · outbound

This paper cites D., and York, Jr., J.

Fill-Ins of Tori with Scalar Curvature Bounded from Below D., and York, Jr., J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:26.149327Z

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.

Observation 576edcc4-fe46-45e0-8385-10565693b288 · outbound

This paper cites T., and Herzlich, M.

Fill-Ins of Tori with Scalar Curvature Bounded from Below T., and Herzlich, M

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:26.136714Z

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.

Observation 5b29b3bd-076e-468a-99c2-16d59463fa96 · outbound

This paper cites Scalar curvature of manifolds with boundaries: Natural que stions and artiﬁcial constructions, 2019.

Fill-Ins of Tori with Scalar Curvature Bounded from Below Scalar curvature of manifolds with boundaries: Natural que stions and artiﬁcial constructions, 2019

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:26.124844Z

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.

Observation eca1cc36-dbb2-4005-9ca6-8ef69a282f96 · outbound

This paper cites Four lectures on scalar curvature.

Fill-Ins of Tori with Scalar Curvature Bounded from Below Four lectures on scalar curvature

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:26.110412Z

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.

Observation 6c1d3a38-bfd1-45d6-949b-24dc4f4c125d · outbound

This paper cites T., and Myers, R.

Fill-Ins of Tori with Scalar Curvature Bounded from Below T., and Myers, R

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:26.096688Z

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.

Observation db917cf1-8ce7-4fe0-8e61-008a55dc9aa1 · outbound

This paper cites A., Solonnikov, V.

Fill-Ins of Tori with Scalar Curvature Bounded from Below A., Solonnikov, V

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:26.085012Z

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.

Observation afe30e3e-077d-43bc-9423-4f3383600123 · outbound

This paper cites M., and Yau, S.-T.

Fill-Ins of Tori with Scalar Curvature Bounded from Below M., and Yau, S.-T

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:26.072294Z

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.

Observation 9521134c-de51-4dae-90f7-d505150ac094 · outbound

This paper cites M., and Yau, S.-T.

Fill-Ins of Tori with Scalar Curvature Bounded from Below M., and Yau, S.-T

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:26.059744Z

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.

Observation e6c7d0cb-ca88-410e-b2f2-25e40451217f · outbound

This paper cites Total mean curvature, scalar curvature, and a variational analog of Brown-York mass.

Fill-Ins of Tori with Scalar Curvature Bounded from Below Total mean curvature, scalar curvature, and a variational analog of Brown-York mass

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:26.047780Z

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.

Observation 8e987c3f-19d5-4f8e-835a-4b23447915a9 · outbound

This paper cites Capacity, quasi-local mass, and sin- gular ﬁll-ins.

Fill-Ins of Tori with Scalar Curvature Bounded from Below Capacity, quasi-local mass, and sin- gular ﬁll-ins

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:26.035971Z

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.

Observation 54596dc5-a81c-4bc5-a5df-1cc19cec5267 · outbound

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

Fill-Ins of Tori with Scalar Curvature Bounded from Below Positive mass theorem on manifolds admitting corners along a hypersurface

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:26.022538Z

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.

Observation 9b84e0e4-bfec-4497-81c7-eb21ec52ca63 · outbound

This paper cites an unresolved cited work.

Fill-Ins of Tori with Scalar Curvature Bounded from Below Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:14:26.009204Z

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.

Observation b428b31e-f16f-4c53-a550-44c690aace3f · outbound

This paper cites Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature.

Fill-Ins of Tori with Scalar Curvature Bounded from Below Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:25.992237Z

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.

Observation 87b033bc-2741-441d-bd86-557d273c6770 · outbound

This paper cites Total mean curvature of the boundary and nonnegative scalar curvature ﬁll-ins.

Fill-Ins of Tori with Scalar Curvature Bounded from Below Total mean curvature of the boundary and nonnegative scalar curvature ﬁll-ins

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:25.979704Z

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.

Observation 87ebe320-7330-4060-b280-070c088d0faf · outbound

This paper cites On the ﬁll-in of nonnegative scalar curvature metrics.

Fill-Ins of Tori with Scalar Curvature Bounded from Below On the ﬁll-in of nonnegative scalar curvature metrics

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:25.966907Z

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.

Observation 6f8a3ffd-2527-4c33-90c9-8c7a86d0c7b3 · outbound

This paper cites A generalization of Liu-Yau’s quasi-local mass.

Fill-Ins of Tori with Scalar Curvature Bounded from Below A generalization of Liu-Yau’s quasi-local mass

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:25.953723Z

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.

Observation c65e2ee5-b6a3-4b5a-8b21-012a16dbe0a0 · outbound

This paper cites The mass of asymptotically hyperbolic manifolds.

Fill-Ins of Tori with Scalar Curvature Bounded from Below The mass of asymptotically hyperbolic manifolds

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:25.942224Z

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.

Observation 263333b4-c808-4340-b165-bab86d7cf89a · outbound

This paper cites A new proof of the positive energy theorem.

Fill-Ins of Tori with Scalar Curvature Bounded from Below A new proof of the positive energy theorem

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:14:25.930875Z

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.

Pith citing papers

No inbound Pith citation observations are available.