Paper Citation Record · LEDGER

A new boundary mass for asymptotically flat half-manifolds

As of 11 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 0 inbound Pith citation observations for arXiv:2606.23378.

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

pith.paper-citation-record.v1
2606.23378 v1

Coverage vector

measured 53 of 53 reference resolution

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Reference resolution

53 of 53 outbound references displayed

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Outbound references

Observation 077ceda3-fa67-4f53-8a91-3fddeeb5b5fb · outbound

This paper cites Agostiniani, L.

A new boundary mass for asymptotically flat half-manifolds Agostiniani, L

Reference 1

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Observation 60c52145-7671-4467-bf50-9c74e5fa0cc8 · outbound

This paper cites Almaraz, E.

A new boundary mass for asymptotically flat half-manifolds Almaraz, E

Reference 2

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Observation 68f967ae-daab-4054-95c9-017b43a06113 · outbound

This paper cites an unresolved cited work.

A new boundary mass for asymptotically flat half-manifolds Unresolved cited work

Reference 3

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Observation b5d7256a-84d1-4cab-be72-9ab91b962980 · outbound

This paper cites Arnowitt, S.

A new boundary mass for asymptotically flat half-manifolds Arnowitt, S

Reference 4

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Observation 8b60dd74-f764-43f4-9fd8-6bf679c7770f · outbound

This paper cites Avalos, P.

A new boundary mass for asymptotically flat half-manifolds Avalos, P

Reference 5

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Observation b236f783-1889-490e-828d-ba76481cbec2 · outbound

This paper cites thesis, https://d-nb.info/1067442340/34., 2015.

A new boundary mass for asymptotically flat half-manifolds thesis, https://d-nb.info/1067442340/34., 2015

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-07-04T12:19:50.282088Z

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Observation c4eb778c-c0fe-431c-92b0-242ac0df2a86 · outbound

This paper cites Barbosa and A.

A new boundary mass for asymptotically flat half-manifolds Barbosa and A

Reference 7

Resolution: unresolved; no resolver link, observed 2026-06-26T06:58:35.813642Z

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Observation b4e81eee-f7c8-4ddf-908a-6d30369f0d5d · outbound

This paper cites Bartnik,The mass of an asymptotically flat manifold, Communications on Pure and Applied Mathematics34(1986), 661–693.

A new boundary mass for asymptotically flat half-manifolds Bartnik,The mass of an asymptotically flat manifold, Communications on Pure and Applied Mathematics34(1986), 661–693

Reference 8

Resolution: unresolved; no resolver link, observed 2026-06-26T06:58:35.813642Z

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Observation cdd54b2b-f4ef-4997-aff4-806ce955b0ca · outbound

This paper cites A proof for the Riemannian positive mass theorem up to dimension 19.

A new boundary mass for asymptotically flat half-manifolds A proof for the Riemannian positive mass theorem up to dimension 19

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-07-04T12:19:50.306669Z

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Observation 2ea5c91e-e01d-482b-98f3-729cea29b2b0 · outbound

This paper cites an unresolved cited work.

A new boundary mass for asymptotically flat half-manifolds Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-26T06:58:35.813642Z

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Observation e5829816-aab0-4033-91c9-ac2636244faa · outbound

This paper cites A dimension descent scheme for the positive mass theorem in arbitrary dimension.

A new boundary mass for asymptotically flat half-manifolds A dimension descent scheme for the positive mass theorem in arbitrary dimension

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-07-04T12:19:50.304055Z

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Observation 24a96383-2d77-4235-8bd5-185aed4fcf09 · outbound

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A new boundary mass for asymptotically flat half-manifolds Unresolved cited work

Reference 12

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Observation 6e7e239a-a6fc-4cbc-92cb-1299c09669a7 · outbound

This paper cites Case and Y.

A new boundary mass for asymptotically flat half-manifolds Case and Y

Reference 13

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Observation 3ed323ee-c4a1-4d03-8daa-29b169b8b4f1 · outbound

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A new boundary mass for asymptotically flat half-manifolds Unresolved cited work

Reference 14

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Observation c103266b-baa8-453a-8456-9695c4c3d276 · outbound

This paper cites Chang and S.

A new boundary mass for asymptotically flat half-manifolds Chang and S

Reference 15

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Observation 5fb6266f-c5fc-4c6f-8929-bb3e8f84fe53 · outbound

This paper cites Chen,Conformal deformation on manifolds with boundary, Geometric and Functional Analysis19(2009), no.

A new boundary mass for asymptotically flat half-manifolds Chen,Conformal deformation on manifolds with boundary, Geometric and Functional Analysis19(2009), no

Reference 16

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Observation 62a747bf-d6fe-4b45-93b6-c016fe765501 · outbound

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A new boundary mass for asymptotically flat half-manifolds Unresolved cited work

Reference 17

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Observation 3cb030b8-8d44-4288-8669-eae6c9ed4574 · outbound

This paper cites Chen and Y.L.

A new boundary mass for asymptotically flat half-manifolds Chen and Y.L

Reference 18

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Observation 1e894f3c-a09f-4a38-a95d-940d344ab88b · outbound

This paper cites Chodosh, C.

A new boundary mass for asymptotically flat half-manifolds Chodosh, C

Reference 19

Resolution: verified exact; arxiv_id, observed 2026-07-04T12:19:50.301914Z

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Observation abb11640-0ce6-40e4-a348-ed3d9bb35ac6 · outbound

This paper cites Generic regularity for minimizing hypersurfaces in dimension 11.

A new boundary mass for asymptotically flat half-manifolds Generic regularity for minimizing hypersurfaces in dimension 11

Reference 20

Resolution: verified exact; arxiv_id, observed 2026-07-04T12:19:50.292440Z

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Observation 7866b5cb-c6ce-4ce8-adb4-30e7dd8fb044 · outbound

This paper cites Liouville Theorem with Boundary Conditions from Chern--Gauss--Bonnet Formula.

A new boundary mass for asymptotically flat half-manifolds Liouville Theorem with Boundary Conditions from Chern--Gauss--Bonnet Formula

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-07-04T12:19:50.294699Z

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Observation 563b0570-a1dd-4a17-a983-238adf110259 · outbound

This paper cites A rigidity result for the graph case of the Penrose inequality.

A new boundary mass for asymptotically flat half-manifolds A rigidity result for the graph case of the Penrose inequality

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-07-04T12:19:50.297143Z

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Observation e7c0ff3e-818e-4002-a10d-59892ce937fd · outbound

This paper cites 9, 6247–6266.

A new boundary mass for asymptotically flat half-manifolds 9, 6247–6266

Reference 23

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Observation 64470a3f-c08b-4442-87af-f201a10b5cc7 · outbound

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A new boundary mass for asymptotically flat half-manifolds Unresolved cited work

Reference 24

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Observation 8ed52b7c-e8bd-408b-9163-a187fa1e5a6b · outbound

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A new boundary mass for asymptotically flat half-manifolds Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-06-26T06:58:35.813642Z

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Observation fc37243a-7744-4dc4-8c26-e55ab92a7bc0 · outbound

This paper cites The Penrose inequality in extrinsic geometry.

A new boundary mass for asymptotically flat half-manifolds The Penrose inequality in extrinsic geometry

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-07-04T12:19:50.299369Z

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Observation e726b926-374a-4482-93c9-adb3dc50f721 · outbound

This paper cites Freire and F.

A new boundary mass for asymptotically flat half-manifolds Freire and F

Reference 27

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Observation 86351e69-e00a-4375-907f-007f4d043e15 · outbound

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A new boundary mass for asymptotically flat half-manifolds Unresolved cited work

Reference 28

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Observation 808fcb77-c52a-4a74-93ab-6522af9d0cb8 · outbound

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A new boundary mass for asymptotically flat half-manifolds Unresolved cited work

Reference 29

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Observation 2b2583ef-046c-4144-a56d-1485befc4baf · outbound

This paper cites Hein and C.

A new boundary mass for asymptotically flat half-manifolds Hein and C

Reference 30

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Observation d0cec6ce-e9e0-49db-993c-77e97132d353 · outbound

This paper cites Herzlich,Scalar curvature, mass, and other asymptotic invariants, Perspectives in Scalar Curvature, Vol.2 (2023), 249–311.

A new boundary mass for asymptotically flat half-manifolds Herzlich,Scalar curvature, mass, and other asymptotic invariants, Perspectives in Scalar Curvature, Vol.2 (2023), 249–311

Reference 31

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Observation 62aa388b-f403-4b37-b8e9-ab74226fab99 · outbound

This paper cites 2, 365–399.

A new boundary mass for asymptotically flat half-manifolds 2, 365–399

Reference 32

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Observation 1354130e-458d-42e4-9a02-d3ffa5802028 · outbound

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A new boundary mass for asymptotically flat half-manifolds Unresolved cited work

Reference 33

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Observation 624ec9bc-5682-485c-a7e5-2e11231471dd · outbound

This paper cites Huang and Damin Wu,Hypersurfaces with nonnegative scalar curvature, Journal of Differential Geometry95(2013), no.

A new boundary mass for asymptotically flat half-manifolds Huang and Damin Wu,Hypersurfaces with nonnegative scalar curvature, Journal of Differential Geometry95(2013), no

Reference 34

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Observation 964d584d-ab5a-4dbe-a2b9-a0211b2256f4 · outbound

This paper cites 1, 31–47.

A new boundary mass for asymptotically flat half-manifolds 1, 31–47

Reference 35

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Observation 81c3b1c3-bddc-420b-9ba6-3759e502b4ae · outbound

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A new boundary mass for asymptotically flat half-manifolds Unresolved cited work

Reference 36

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Observation 44741124-49dc-4831-a539-5f098ad21e5e · outbound

This paper cites Körber,The riemannian penrose inequality for asymptotically flat manifolds with non-compact boundary, Journal of Differential Geometry124(2023), no.

A new boundary mass for asymptotically flat half-manifolds Körber,The riemannian penrose inequality for asymptotically flat manifolds with non-compact boundary, Journal of Differential Geometry124(2023), no

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Resolution: unresolved; no resolver link, observed 2026-06-26T06:58:35.813642Z

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Observation 5af577cd-7d19-46c2-99c4-576be28b1088 · outbound

This paper cites The Graphs Cases of the Riemannian Positive Mass and Penrose Inequalities in All Dimensions.

A new boundary mass for asymptotically flat half-manifolds The Graphs Cases of the Riemannian Positive Mass and Penrose Inequalities in All Dimensions

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-07-04T12:19:50.287070Z

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Observation f7ac1db9-0302-47ac-a65d-577450085bfc · outbound

This paper cites Li,Ricci flow on asymptotically euclidean manifolds, Geometry & Topology22(2018), no.

A new boundary mass for asymptotically flat half-manifolds Li,Ricci flow on asymptotically euclidean manifolds, Geometry & Topology22(2018), no

Reference 39

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Observation 455b1078-a0fc-4acc-aba3-951f7e94103c · outbound

This paper cites Li and L.

A new boundary mass for asymptotically flat half-manifolds Li and L

Reference 40

Resolution: unresolved; no resolver link, observed 2026-06-26T06:58:35.813642Z

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Observation 26fd3ea7-7a9c-4ffb-be96-8e2f291f86a1 · outbound

This paper cites Minimal hypersurfaces for generic metrics in dimension 8.

A new boundary mass for asymptotically flat half-manifolds Minimal hypersurfaces for generic metrics in dimension 8

Reference 41

Resolution: verified exact; arxiv_id, observed 2026-07-04T12:19:50.289809Z

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Observation 802e98b4-48ae-491e-9606-2925dd943633 · outbound

This paper cites Marquardt,Weak solutions of inverse mean curvature flow for hypersurfaces with boundary, Journal für die reine und angewandte Mathematik728(2017), 237–261.

A new boundary mass for asymptotically flat half-manifolds Marquardt,Weak solutions of inverse mean curvature flow for hypersurfaces with boundary, Journal für die reine und angewandte Mathematik728(2017), 237–261

Reference 42

Resolution: unresolved; no resolver link, observed 2026-06-26T06:58:35.813642Z

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Observation c40292be-bd81-4ae9-8ab8-6b5361b7180b · outbound

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A new boundary mass for asymptotically flat half-manifolds Unresolved cited work

Reference 43

Resolution: unresolved; no resolver link, observed 2026-06-26T06:58:35.813642Z

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Observation 0f5c266c-a429-45c6-a79f-6fd3c20883a6 · outbound

This paper cites Michel,Invariants asymptotiques en géométrie conforme et géométrie cr, Ph.D.

A new boundary mass for asymptotically flat half-manifolds Michel,Invariants asymptotiques en géométrie conforme et géométrie cr, Ph.D

Reference 44

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Observation 72db4b3d-1dff-48fd-94b2-a9cd0ac13ed3 · outbound

This paper cites Masse des op\'erateurs GJMS.

A new boundary mass for asymptotically flat half-manifolds Masse des op\'erateurs GJMS

Reference 45

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Observation a530ffd3-5893-49d9-a7e6-6426ea2fecbd · outbound

This paper cites an unresolved cited work.

A new boundary mass for asymptotically flat half-manifolds Unresolved cited work

Reference 46

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Observation f97fee51-6856-42e4-9001-6a753dc5f438 · outbound

This paper cites Schoen and S.

A new boundary mass for asymptotically flat half-manifolds Schoen and S

Reference 47

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Observation b8aca35b-47c5-4364-bdb4-243519dd77aa · outbound

This paper cites Schwartz,A volumetric penrose inequality for conformally flat manifolds, Annales Henri Poincaré12(2011), no.

A new boundary mass for asymptotically flat half-manifolds Schwartz,A volumetric penrose inequality for conformally flat manifolds, Annales Henri Poincaré12(2011), no

Reference 48

Resolution: unresolved; no resolver link, observed 2026-06-26T06:58:35.813642Z

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Observation 89646f34-4bd5-42bc-80ee-148d2ae54308 · outbound

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A new boundary mass for asymptotically flat half-manifolds Unresolved cited work

Reference 49

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Observation 01de52a6-b44f-4854-968d-d8d78974e291 · outbound

This paper cites Viaclovsky,Conformal geometry, contact geometry, and the calculus of variations, Duke Math.

A new boundary mass for asymptotically flat half-manifolds Viaclovsky,Conformal geometry, contact geometry, and the calculus of variations, Duke Math

Reference 50

Resolution: unresolved; no resolver link, observed 2026-06-26T06:58:35.813642Z

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Observation 9c73dd83-05bf-42c2-b6a2-038201596144 · outbound

This paper cites Wang and J.

A new boundary mass for asymptotically flat half-manifolds Wang and J

Reference 51

Resolution: unresolved; no resolver link, observed 2026-06-26T06:58:35.813642Z

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Observation cd97f948-8a5b-496b-9d49-1eb16ae48e00 · outbound

This paper cites Wei,Liouville theorem fork-curvature equation in half space with fully nonlinear boundary condition, Adv.

A new boundary mass for asymptotically flat half-manifolds Wei,Liouville theorem fork-curvature equation in half space with fully nonlinear boundary condition, Adv

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Resolution: unresolved; no resolver link, observed 2026-06-26T06:58:35.813642Z

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Observation 581b9b42-1bc7-4fd1-8f56-b9175ed083c8 · outbound

This paper cites Witten,A new proof of the positive energy theorem, Communications in Mathematical Physics80(1981), 381–402.

A new boundary mass for asymptotically flat half-manifolds Witten,A new proof of the positive energy theorem, Communications in Mathematical Physics80(1981), 381–402

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Resolution: unresolved; no resolver link, observed 2026-06-26T06:58:35.813642Z

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