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Paper Citation Record · LEDGER

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below

As of 16 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:1908.03069.

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

pith.paper-citation-record.v1
1908.03069 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:38:15.262313Z

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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 19e43d13-6bed-49c9-aab4-14f2db2acb70 · outbound

This paper cites Aubin, \' E quations diff\' e rentielles non lin\' e aires et probl\` e me de Yamabe concernant la courbure scalaire.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Aubin, \' E quations diff\' e rentielles non lin\' e aires et probl\` e me de Yamabe concernant la courbure scalaire

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:15.700661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.139304Z digest=sha256:570ab33a27a4fad68b5b6b728ad61050a2deb2183d50e17833bac33ea9c3ae9d

Observation d957f4e4-8a51-46c2-993e-4fc4e3e99d44 · outbound

This paper cites Beckner, Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Beckner, Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:15.683785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.145544Z digest=sha256:364ad155bdc44df6e62a09c682df907f017cfe5deaa24ca38dbfecc7bec56872

Observation fc932775-f008-4518-a2c8-9fa7c5bc8d5f · outbound

This paper cites an unresolved cited work.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Unresolved cited work

Reference 3

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unresolved
raw_fallback, observed 2026-08-14T14:38:15.667986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.150965Z digest=sha256:cc74229195f1e2ba83d0f24a962a506899e78690324cec28599f6b1bcf9631e9

Observation 4af71fe1-33b4-4311-8395-700fa65c9ab6 · outbound

This paper cites Brendle; F.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Brendle; F

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:15.652741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.156450Z digest=sha256:a8a0b348318638d79552e29d72ab4a657792aa6dec5852103e18a3f3f99be71a

Observation 52093299-4e94-44d7-8ec1-3646b3f83f39 · outbound

This paper cites Cherrier, Probl\` e mes de Neumann non lin\' e aires sur les vari\' e t\' e s riemanniennes.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Cherrier, Probl\` e mes de Neumann non lin\' e aires sur les vari\' e t\' e s riemanniennes

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:15.635685Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.162212Z digest=sha256:d3d94995ac1a9f9b0e21d1ef1b51d08bfbf78532408e281bf172493820670f18

Observation 314223a7-e631-4ad8-a791-9f19cfae71df · outbound

This paper cites Choi; A.N.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Choi; A.N

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:15.619145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.167488Z digest=sha256:66b242af1c874f207b81d768b4effb22b661d6fb3db17c0caf0ac344db878517

Observation 7d8f0fa5-da9a-4edf-8e08-beeead84f184 · outbound

This paper cites Escobar, The Yamabe problem on manifolds with boundary.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Escobar, The Yamabe problem on manifolds with boundary

Reference 7

Resolution
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raw_fallback, observed 2026-08-14T14:38:15.603907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.173147Z digest=sha256:007649eb637710c8920bec30c4b0158e182556c3ff3f69a026182d5881c8ae8c

Observation b943cf07-ba7d-4e72-a46e-a7978c0982af · outbound

This paper cites Escobar, Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Escobar, Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary

Reference 8

Resolution
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raw_fallback, observed 2026-08-14T14:38:15.588918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.178421Z digest=sha256:847de15966a2c801d8ed96fb164364a8f9470fceb3c7ba973dc4337b881500e1

Observation 65a1392d-e960-414a-ab1a-74ab8347e56d · outbound

This paper cites Fraser; M.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Fraser; M

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:15.574237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.183506Z digest=sha256:579a771b148ec5399608e7ae7d5e2bc72ad019bc67cf4596086e559138fa901a

Observation 784e3b61-9fc9-40bb-ad0a-4a5d8b1439c0 · outbound

This paper cites an unresolved cited work.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Unresolved cited work

Reference 10

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raw_fallback, observed 2026-08-14T14:38:15.558323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.188859Z digest=sha256:9f8637753c2450c39635e410aacd1987641dd6e43d393f97eb8e9039e4f7b038

Observation b20a23d6-6ebc-48f8-af03-7cc9aafe64bd · outbound

This paper cites Hersch, Quatre propri\' e t\' e s isop\' e rim\' e triques de membranes sph\' e riques homog\` e nes.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Hersch, Quatre propri\' e t\' e s isop\' e rim\' e triques de membranes sph\' e riques homog\` e nes

Reference 11

Resolution
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raw_fallback, observed 2026-08-14T14:38:15.542573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.193914Z digest=sha256:cf36531a79f0ff7eb0d4f3914eebd9fb93065cdff0b33b250fd0e51a5dec760f

Observation 28d8de86-e39e-480b-a3be-1a6d992bbb23 · outbound

This paper cites Ilias, In\' e galit\' e s de Sobolev et r\' e sultats d'isolement pour les applications harmoniques.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Ilias, In\' e galit\' e s de Sobolev et r\' e sultats d'isolement pour les applications harmoniques

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:15.526172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.198892Z digest=sha256:279b9d021dadab0de38357e71c1f3d7293218c93d36943a8f26ffa3ab21b4167

Observation a0257c2a-e9f9-474e-9804-fb8679c8b4fb · outbound

This paper cites Marques; A.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Marques; A

Reference 13

Resolution
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raw_fallback, observed 2026-08-14T14:38:15.511156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.204670Z digest=sha256:c90679f87bd20d0a8672cf0fcc22f2f43242b2aa20db9a50414fc96d498e32ff

Observation f7419e41-05ad-422c-aeb8-3759ea0fcf98 · outbound

This paper cites Meeks; L.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Meeks; L

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:15.496112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.209539Z digest=sha256:fc696eb11915cb6f0d09a2b7e9ba4d5385d46d3ee040da476f061edb7dd1bf6c

Observation 8cdcdf28-f8c3-428c-826d-3a548b96de21 · outbound

This paper cites an unresolved cited work.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:38:15.480097Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.214200Z digest=sha256:a85918219d8c43e686bd0e9ffcfa1ae7faf10c85af82c60b2abb607206c2af73

Observation f711f3b7-d79c-423c-959c-021889f648e3 · outbound

This paper cites Reilly, Applications of the Hessian operator in a Reimannian manifold, Indiana Math.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Reilly, Applications of the Hessian operator in a Reimannian manifold, Indiana Math

Reference 16

Resolution
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raw_fallback, observed 2026-08-14T14:38:15.465145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.218995Z digest=sha256:9033b0ad85d363d9fc5bcf13fee684072e3f4e3ef80b05ba99790c96e61082fa

Observation ac34fd98-57fe-4fad-9854-7862665c03b3 · outbound

This paper cites Ros, Compact hypersurfaces with constant higher order mean curvatures.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Ros, Compact hypersurfaces with constant higher order mean curvatures

Reference 17

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raw_fallback, observed 2026-08-14T14:38:15.450055Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.223736Z digest=sha256:dda316588173eb39b28e6e10f7b9cea9fbdf6cb0441b7ef7c14636fbe1fac1ec

Observation bc586339-e56a-4508-aa09-af337effe94f · outbound

This paper cites Schoen; S.-T.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Schoen; S.-T

Reference 18

Resolution
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raw_fallback, observed 2026-08-14T14:38:15.433879Z

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No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.229485Z digest=sha256:de8b765bd2457efe6356222526385ad6a6d372a76f35ffa3f7375991e63ae505

Observation bd563ff9-9e3b-4e07-a03e-c25f98795358 · outbound

This paper cites Shi; L.-F.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Shi; L.-F

Reference 19

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verified fuzzy
raw_fallback, observed 2026-08-14T14:38:15.413723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.234348Z digest=sha256:de441d5ab55dff01e6a3ce20f4ef643590cfa2eb8269e02c16a7e814e1c12400

Observation d73eac36-f093-4928-a416-3fe28c198c7c · outbound

This paper cites Shi; L.-F.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Shi; L.-F

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:15.390658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.239094Z digest=sha256:e122a8bcb0009d2ef2aef53911b7ad46af9bb832e98c6fb8ce4a6d1f7ed197b2

Observation a417266d-d6ac-465d-9c52-511372565c49 · outbound

This paper cites Toponogov, Evaluation of the length of a closed geodesic on a convex surface, Dokl.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Toponogov, Evaluation of the length of a closed geodesic on a convex surface, Dokl

Reference 21

Resolution
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raw_fallback, observed 2026-08-14T14:38:15.371515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.244090Z digest=sha256:b7bcede6b73480d188b1f3d6b68d95a8b3a5267998457e724d6dbe45c79cc62c

Observation d9cc2cf5-0999-4daf-8e0e-97bcb7603e30 · outbound

This paper cites Wang, On conformally compact Einstein manifolds.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Wang, On conformally compact Einstein manifolds

Reference 22

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raw_fallback, observed 2026-08-14T14:38:15.354216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.248570Z digest=sha256:7c55bdc15b73e333df1ac2e1190a19859323a5eb2f0f04683709dff0d8b389bc

Observation 37fa5e8b-5efd-461b-9c26-16976b6241c8 · outbound

This paper cites Wang, Uniqueness results on surfaces with boundary.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Wang, Uniqueness results on surfaces with boundary

Reference 23

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raw_fallback, observed 2026-08-14T14:38:15.336679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.253054Z digest=sha256:c1c63ad188bd595d01b2311cbd7de4268802a883c25a98658b88646d11c14905

Observation e3e7aeb3-a01e-4f87-861d-b3db6a66bdc0 · outbound

This paper cites Wang; S.-T.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Wang; S.-T

Reference 24

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raw_fallback, observed 2026-08-14T14:38:15.318657Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.257626Z digest=sha256:085b30788c2fbb7193c860fec013d923af91006e6bcd16641df8758562c74754

Observation b1115f3a-998f-467b-9e4a-4d41c12b7a72 · outbound

This paper cites Xia, Rigidity of compact manifolds with boundary and nonnegative Ricci curvature.

On compact Riemannian manifolds with convex boundary and Ricci curvature bounded from below Xia, Rigidity of compact manifolds with boundary and nonnegative Ricci curvature

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:38:15.301894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T14:38:15.262313Z digest=sha256:96df95611fc535e4bd6eaf7fe42247703fa0156a1533eb195ec77503cb0d161a

Pith citing papers

No inbound Pith citation observations are available.