Paper Citation Record · LEDGER

Serrin-type problem in divergence form on Riemannian manifolds

As of 8 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2507.17838.

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

pith.paper-citation-record.v1
2507.17838 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:51:21.033739Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

32 of 32 outbound references displayed

verified exact1
verified fuzzy23
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d854d64c-5175-4d08-81f5-041e5076df0a · outbound

This paper cites Al ´ ıas, M.

Serrin-type problem in divergence form on Riemannian manifolds Al ´ ıas, M

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.486761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4eb5f960-58cf-42a5-824e-f1fa03af38e6 · outbound

This paper cites an unresolved cited work.

Serrin-type problem in divergence form on Riemannian manifolds Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:51:21.473132Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c64f1728-9d07-4ac0-a2fb-768ff3a490e5 · outbound

This paper cites Ara´ ujo, A.

Serrin-type problem in divergence form on Riemannian manifolds Ara´ ujo, A

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.460907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7242a984-d86d-4fae-85f9-bdc7b4370b48 · outbound

This paper cites Bernstein, Sur les surfaces d´ efinies au moyen de leur courbure moyenne ou totale, Ann.

Serrin-type problem in divergence form on Riemannian manifolds Bernstein, Sur les surfaces d´ efinies au moyen de leur courbure moyenne ou totale, Ann

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.448261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 16bc9ac0-133c-49ca-9a91-9cdcca932743 · outbound

This paper cites an unresolved cited work.

Serrin-type problem in divergence form on Riemannian manifolds Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:51:21.435540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6b3544f7-7441-437c-9f20-36df020a1c40 · outbound

This paper cites Ciraolo, and L.

Serrin-type problem in divergence form on Riemannian manifolds Ciraolo, and L

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.423456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3e95ba13-1028-4334-99f6-55efb73ed30d · outbound

This paper cites Delay, and P.

Serrin-type problem in divergence form on Riemannian manifolds Delay, and P

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.411123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c20389f7-b514-467b-9ff9-93260be7903f · outbound

This paper cites Douglas, Solution of the problem of Plateau, Trans.

Serrin-type problem in divergence form on Riemannian manifolds Douglas, Solution of the problem of Plateau, Trans

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.399095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2b1359b7-d544-4dca-aad2-b1045b254f01 · outbound

This paper cites Farina, and B.

Serrin-type problem in divergence form on Riemannian manifolds Farina, and B

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.386451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ce07674c-56a1-4093-86a3-d92ee08ab1b7 · outbound

This paper cites Farina, and A.

Serrin-type problem in divergence form on Riemannian manifolds Farina, and A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.371530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d0434301-77ce-4fb6-b63e-9c4c1dff59b0 · outbound

This paper cites Fogagnolo, and A.

Serrin-type problem in divergence form on Riemannian manifolds Fogagnolo, and A

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.358495Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7d5ed447-8d99-447a-b1b5-4c0356fed07a · outbound

This paper cites Fragala, F.

Serrin-type problem in divergence form on Riemannian manifolds Fragala, F

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.345791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b6f69efd-12fb-4625-8d00-fcb756f80a4b · outbound

This paper cites Freitas, A.

Serrin-type problem in divergence form on Riemannian manifolds Freitas, A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.332322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e7a86c6f-f214-416d-9f69-e298657f456c · outbound

This paper cites Hessian operators, overdetermined problems, and higher order mean curvatures: symmetry and stability results.

Serrin-type problem in divergence form on Riemannian manifolds Hessian operators, overdetermined problems, and higher order mean curvatures: symmetry and stability results

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-06T14:51:21.076490Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ecc2a221-0eac-48e7-8b0c-d43496d1b98e · outbound

This paper cites Gilbarg and N.

Serrin-type problem in divergence form on Riemannian manifolds Gilbarg and N

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.319458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 746c4297-1d33-409e-9ed9-f12ccd2a4f48 · outbound

This paper cites Jenkins, and J.

Serrin-type problem in divergence form on Riemannian manifolds Jenkins, and J

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.306869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 91e0e99b-e93a-4a89-9349-a560433b6397 · outbound

This paper cites Jia, Overdetermined problems for Weingarten hypersurfaces, Calc.

Serrin-type problem in divergence form on Riemannian manifolds Jia, Overdetermined problems for Weingarten hypersurfaces, Calc

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.292856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7fb3f00a-7f0f-4534-8068-9ff9ddc33bb1 · outbound

This paper cites an unresolved cited work.

Serrin-type problem in divergence form on Riemannian manifolds Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:51:21.279926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 9eedfe17-19fd-4a76-882e-60c5472a3fa6 · outbound

This paper cites L´ opez,Constant Mean Curvature Surfaces with Boundary, Springer Monographs in Mathematics, Springer, Heidelberg, (2013).

Serrin-type problem in divergence form on Riemannian manifolds L´ opez,Constant Mean Curvature Surfaces with Boundary, Springer Monographs in Mathematics, Springer, Heidelberg, (2013)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.266112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b4428083-ed46-4fb4-8076-7b41d9666bd1 · outbound

This paper cites Magnanini, Alexandrov, Serrin, Weinberger, Reilly: symmetry and stability by integral identities, Bruno Pini Math.

Serrin-type problem in divergence form on Riemannian manifolds Magnanini, Alexandrov, Serrin, Weinberger, Reilly: symmetry and stability by integral identities, Bruno Pini Math

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.252706Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 10e2a130-4f8d-4124-9adb-a5ce7aefcc8c · outbound

This paper cites Magnanini, and G.

Serrin-type problem in divergence form on Riemannian manifolds Magnanini, and G

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.240141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 83b870cf-e98c-4fb4-8a8a-1581b93f5775 · outbound

This paper cites Magnanini, and G.

Serrin-type problem in divergence form on Riemannian manifolds Magnanini, and G

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.227635Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation be0a2b2e-67a5-4d91-80e3-65aa7f775d73 · outbound

This paper cites Ni, and J.

Serrin-type problem in divergence form on Riemannian manifolds Ni, and J

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.214573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation cf86ff3d-16ad-4ded-b924-49a7c0fa138e · outbound

This paper cites Rad´ o,The problem of the least area and the problem of Plateau, Math.

Serrin-type problem in divergence form on Riemannian manifolds Rad´ o,The problem of the least area and the problem of Plateau, Math

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.201521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation c744bbbe-11fc-48d3-9798-ef0c6ebb0537 · outbound

This paper cites an unresolved cited work.

Serrin-type problem in divergence form on Riemannian manifolds Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:51:21.188783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 783274f0-47cf-423c-9fd8-cf55885a6f5a · outbound

This paper cites Roncoroni, A Serrin-type symmetry result on model manifolds: an extension of the Weinberger argument, C.

Serrin-type problem in divergence form on Riemannian manifolds Roncoroni, A Serrin-type symmetry result on model manifolds: an extension of the Weinberger argument, C

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.175504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6dff8ad3-8948-4dad-82bb-34ee3a0cf6f1 · outbound

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

Serrin-type problem in divergence form on Riemannian manifolds Ros, Compact hypersurfaces with constant higher order mean curvatures, Rev

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.161605Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2c614c0d-d19e-4807-8356-bf4eee2d1a47 · outbound

This paper cites an unresolved cited work.

Serrin-type problem in divergence form on Riemannian manifolds Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:51:21.147251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f7e6eabb-253e-490b-8892-a729aab9d77c · outbound

This paper cites Serrin, A symmetry problem in potential theory , Arch.

Serrin-type problem in divergence form on Riemannian manifolds Serrin, A symmetry problem in potential theory , Arch

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T14:51:21.132992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3472fcdd-478f-4a50-a7f0-64da9bfcb87d · outbound

This paper cites an unresolved cited work.

Serrin-type problem in divergence form on Riemannian manifolds Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:51:21.119533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0b036a3a-0e8d-4179-9945-de1b99f528d2 · outbound

This paper cites an unresolved cited work.

Serrin-type problem in divergence form on Riemannian manifolds Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:51:21.104991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6a8dd06a-cb03-4d68-ba3d-7bad511744d1 · outbound

This paper cites an unresolved cited work.

Serrin-type problem in divergence form on Riemannian manifolds Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-06T14:51:21.091254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

No inbound Pith citation observations are available.