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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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.792270Z digest=sha256:3686e69d7e1f82c87d39e0ecff34a3c0ccf3a7e065b13c9f6f72aa5ddc7e4ff3

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.797768Z digest=sha256:da5ac2be453aa181395a3dead4e28dd8e0b89a8d0a1ffd312b001e2e57d178d1

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.801874Z digest=sha256:d745157c12a17188f9c1fe4d9f09b6f6092718b10a442556282cc94b9864f772

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.807213Z digest=sha256:0b4a97efccac36dea40ccaa4430117fa62dd32578e41ea947ac449534664d1d6

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.

source=pdf_text observed=2026-08-12T15:14:25.812108Z digest=sha256:106a9baf254a69de6d9f9fb1d7fd1afb1a86f0733d6a96e69a39692267e92008

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.817355Z digest=sha256:a90c01441e70c66319a7d1ed6b59a23f2b822c8051f3e4bb69420ac8c6436d70

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.823083Z digest=sha256:ba918df531b89a1eee4669fcbcfa201f57fdf766edd0947de4a0430435263848

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.826868Z digest=sha256:aa055f410fb6cce5dcc141cb7ef44eb8e29670ec92f9d316a850083891c11e0d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.831130Z digest=sha256:98fada30ce55b91bf54b3a71f52a79c5342787a9c79b51d96f2dba84b78bf80a

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.834814Z digest=sha256:4d3cdfcbd5b3ae57074ba15a9e4c0dc24e23da424da2a18eb403c2384ed72e1f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.838169Z digest=sha256:ee67b67cc63d4b201b5bb73501e7290397b0121d95f0842e7563ce06619115d9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.841646Z digest=sha256:dc14031e9d0310bce260d9c714bb2d05eee8b198522f6a2c22c2618f94ecaf8f

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.845464Z digest=sha256:82120140766fdea39d78f9f20b04edb2f3bd4fe96f64f74d1df39f16352afb74

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.849113Z digest=sha256:2137d8508fa5a861b5e1b7f13d3d30b17d26e37790f303c042dedf3e6ed9e86e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.852886Z digest=sha256:678bfb61594e218c9e42ce26b4de4730353e3bb4e99c656b60774286b9ccdd66

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.856519Z digest=sha256:7d1bc3b3f34b85ce22ec8780ef60a7a2d9357d8528c5cc3333465be3b7401085

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.859837Z digest=sha256:91e6ba14cbdcae9c6afb1be67ec0fe71c40628f36b38732ee7d4c95e1f78eb68

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.863757Z digest=sha256:cd09901905ec13e01048f470c591d6107beb644545b3a68dd62991b006971a53

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.867453Z digest=sha256:eb04069d67a502b7f3ade80fd47433e6a9dfd108c281a1735cc9dac016ea009d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.870983Z digest=sha256:aefa34f15667298902816922cbe1245383df407496461c9fc12a170b7ef054d2

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.874576Z digest=sha256:b803f4ee3d189736c3284d6e9d96b679a78b0f01ff6b9dd8efc3b8ae8fa10314

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.878312Z digest=sha256:f18698e60fdb03baa8608bb32a7ef36eabb20241025457c964c0d8da5d11eaf4

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.881950Z digest=sha256:6d06332321a67d5168cf15dc68af07e8401b53e6c1abb9c26bf259fc8938cb2d

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.885359Z digest=sha256:d25d655b93d32d037e495b6f45cd75d4f98bd628491b062861c362a80c4d98d9

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T15:14:25.889056Z digest=sha256:1a2fd4b0312b165bfdb194a88628d4106494e770f55cebc1fa35cf490b921996

Pith citing papers

No inbound Pith citation observations are available.