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Paper Citation Record · LEDGER

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds

As of 14 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2507.17344.

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

pith.paper-citation-record.v1
2507.17344 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:04:39.421281Z

measured 37 of 37 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+00:00

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measured 0 of 1 external citation measurements

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Reference resolution

37 of 37 outbound references displayed

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External citation measurements

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Outbound references

Observation 98fa197d-49a4-43a6-a81d-3baf0b126685 · outbound

This paper cites Al ´ ıas, D.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Al ´ ıas, D

Reference 1

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Observation 94416a75-d088-4f8e-9449-54c82146a318 · outbound

This paper cites Alexsandorov, Uniqueness theorem for surfaces in the large I , Vestnik Leningrad Univ., 1956, 11: 5-17.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Alexsandorov, Uniqueness theorem for surfaces in the large I , Vestnik Leningrad Univ., 1956, 11: 5-17

Reference 2

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Observation 33ab1544-08df-4f5f-a469-80f5ec4dcc40 · outbound

This paper cites Andrews, Contraction of convex hypersurfaces in Riemannian spaces , Journal of Differential Geometry, 1994, 39(2): 407-431.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Andrews, Contraction of convex hypersurfaces in Riemannian spaces , Journal of Differential Geometry, 1994, 39(2): 407-431

Reference 3

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Observation 35add6db-b757-4780-9ad0-a2fd92b84fda · outbound

This paper cites Andrews, X.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Andrews, X

Reference 4

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Observation 5ba33766-fde8-4fec-ae47-ace83c159fb3 · outbound

This paper cites Aquino and H.F.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Aquino and H.F

Reference 5

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Observation 2e57a565-5469-4f90-9c7f-bdbd9d0e58d7 · outbound

This paper cites Barbosa and A.G.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Barbosa and A.G

Reference 6

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source=pdf_text observed=2026-08-06T15:04:39.353195Z digest=sha256:106a1bc37acc47880c22724b13c79cc44d2deaaa5ac8b0f99d4731fc036e72b9

Observation 0be4797e-952b-4d92-8aa1-38f3b56a10a8 · outbound

This paper cites Brendle, Constant mean curvature surfaces in warped product manifolds , Publications math´ ematiques de l’IH´ES, 2013, 117(1): 247-269.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Brendle, Constant mean curvature surfaces in warped product manifolds , Publications math´ ematiques de l’IH´ES, 2013, 117(1): 247-269

Reference 7

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source=pdf_text observed=2026-08-06T15:04:39.355506Z digest=sha256:d805b6163ebb093cc30e60929ed60de7f5344f437c6b19d1a77a98ac786bdf9f

Observation 991199ad-45b1-4236-a275-e36b671c802d · outbound

This paper cites Brendle and M.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Brendle and M

Reference 8

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Observation 488420c8-cae1-4f8e-b9cf-5bbe07ffec35 · outbound

This paper cites Brendle and G.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Brendle and G

Reference 9

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source=pdf_text observed=2026-08-06T15:04:39.359962Z digest=sha256:f0f9d29bf1f83b4695a3a324a90254a21f6232efb2d32d7b7ea1528238c9d3f6

Observation 2bde2192-aaf3-4bf0-956c-ee7d90f033c0 · outbound

This paper cites Brendle, P.K.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Brendle, P.K

Reference 10

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Observation 77ce31b7-41ee-44b2-a0e0-b2bc1829d10f · outbound

This paper cites Gao, Closed self-similar solutions to flows by negative powers of curvature , The Journal of Geometric Analysis, 2023, 33(12): 370.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Gao, Closed self-similar solutions to flows by negative powers of curvature , The Journal of Geometric Analysis, 2023, 33(12): 370

Reference 11

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Observation 7c7f3093-3079-4a0a-9846-d1c7140ac603 · outbound

This paper cites Gao and H.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Gao and H

Reference 12

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Observation 1fbe74af-073d-4c7e-b12b-7337c4a72d04 · outbound

This paper cites Guan, Topics in geometric fully nonlinear equations , Lecture Notes, http://www.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Guan, Topics in geometric fully nonlinear equations , Lecture Notes, http://www

Reference 13

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Observation f3ba8d24-1c58-462b-b48c-c61e3047cfe1 · outbound

This paper cites an unresolved cited work.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Unresolved cited work

Reference 14

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Observation 12350f49-7a53-4b66-b05b-6d5f150c33ca · outbound

This paper cites Heintze and H.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Heintze and H

Reference 15

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Observation d7ebea3b-42d7-4ad4-9650-d84b9cac2aa5 · outbound

This paper cites an unresolved cited work.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Unresolved cited work

Reference 16

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Observation 37505dfa-e7cf-436e-a076-320e20bbb0b1 · outbound

This paper cites Hijazi, S.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Hijazi, S

Reference 17

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Observation 480b9de6-744d-44a3-a6b3-dd808e318887 · outbound

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On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Unresolved cited work

Reference 18

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source=pdf_text observed=2026-08-06T15:04:39.379158Z digest=sha256:5f35acfc6435524138a3e800426b8a8ceacf3cbce446565b6f876ade3e7f02c7

Observation 9c61177b-1e40-435e-8f83-88200e14d2b8 · outbound

This paper cites an unresolved cited work.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Unresolved cited work

Reference 19

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source=pdf_text observed=2026-08-06T15:04:39.381281Z digest=sha256:5b966b90b97d966da63448cf5cda451db9e84779df0a8999f0ce4ae0cdafb944

Observation 728dac98-6599-4718-b7fd-d8cda8e50ed0 · outbound

This paper cites Koh, A characterization of round spheres, Proceedings of the American Mathematical Society, 1998, 126(12): 3657-3660.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Koh, A characterization of round spheres, Proceedings of the American Mathematical Society, 1998, 126(12): 3657-3660

Reference 20

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source=pdf_text observed=2026-08-06T15:04:39.383452Z digest=sha256:9165bac528fa719db845c6709b48e3e0ff22c4a7d6232a3669ed09f8beb062d8

Observation ada14f7b-2e28-42f4-b8b4-4442cc49eb49 · outbound

This paper cites Koh, Sphere theorem by means of the ratio of mean curvature functions, Glasgow Mathematical Journal, 2000, 42(1): 91-95.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Koh, Sphere theorem by means of the ratio of mean curvature functions, Glasgow Mathematical Journal, 2000, 42(1): 91-95

Reference 21

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Observation a035555a-bed5-4fac-9699-0af4ad95944a · outbound

This paper cites Kwong, H.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Kwong, H

Reference 22

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Observation 7504fe69-fbcc-4d0d-84e3-323d424d4053 · outbound

This paper cites an unresolved cited work.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Unresolved cited work

Reference 23

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source=pdf_text observed=2026-08-06T15:04:39.389441Z digest=sha256:4cb22e2c28ffdfe0d21b1f1a5b9d5ecc2ecbd1b215c1885cce0df964401b9665

Observation 002742d1-8c2e-459d-92dc-c34635953d87 · outbound

This paper cites New Heintze-Karcher type inequalities in sub-static warped product manifolds.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds New Heintze-Karcher type inequalities in sub-static warped product manifolds

Reference 24

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local_arxiv, observed 2026-08-06T15:04:39.465223Z

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Observation 41bcea31-8d40-493f-a0b9-2cbe46caf15e · outbound

This paper cites Hyperbolic $p$-sum and Horospherical $p$-Brunn-Minkowski theory in hyperbolic space.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Hyperbolic $p$-sum and Horospherical $p$-Brunn-Minkowski theory in hyperbolic space

Reference 25

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Observation 2ed68154-415c-493f-abd5-c62ac756148c · outbound

This paper cites Li and C.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Li and C

Reference 26

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source=pdf_text observed=2026-08-06T15:04:39.397083Z digest=sha256:8a38d891b93bea7bda9dd29b00f7056725b66ef962fec3d82fc607995a2cc26d

Observation 4d675910-a071-4499-98cf-1ec007682a79 · outbound

This paper cites Montiel, Uniqueness of spacelike hypersurfaces of constant mean curvature in foliated spacetimes, Mathematische Annalen, 1999, 314(3): 529-553.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Montiel, Uniqueness of spacelike hypersurfaces of constant mean curvature in foliated spacetimes, Mathematische Annalen, 1999, 314(3): 529-553

Reference 27

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source=pdf_text observed=2026-08-06T15:04:39.399549Z digest=sha256:69d8eef4ba4e3cc7e1d09f4e5775556fcba335f2e303cf831337ba34b6db05cf

Observation 1375625c-52a2-4189-a8d9-e28e807a5504 · outbound

This paper cites Montiel and A.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Montiel and A

Reference 28

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source=pdf_text observed=2026-08-06T15:04:39.401386Z digest=sha256:242977ddc6a7563e3a7a3572538d0cf3f2c9bbcb1e7e16c5b0743fd4d70a8cb1

Observation d4da99d7-adcd-458e-a82a-f1efeb4cfd87 · outbound

This paper cites Reilly, On the Hessian of a function and the curvatures of its graph , Michigan Mathematical Journal, 1974, 20(4): 373-383.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Reilly, On the Hessian of a function and the curvatures of its graph , Michigan Mathematical Journal, 1974, 20(4): 373-383

Reference 29

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source=pdf_text observed=2026-08-06T15:04:39.403698Z digest=sha256:e3413406eae5f236536619c2baf1b8ae80609970932fa34f3ac75391d941e39e

Observation af4c5be6-9c2d-4eb7-8a42-008cd1162f35 · outbound

This paper cites Reilly, Applications of the Hessian operator in a Riemannian manifold , Indiana University Mathematics Journal, 1977, 26(3): 459-472.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Reilly, Applications of the Hessian operator in a Riemannian manifold , Indiana University Mathematics Journal, 1977, 26(3): 459-472

Reference 30

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source=pdf_text observed=2026-08-06T15:04:39.405683Z digest=sha256:ba92fd717f46223c26d9b6ad63c198d766516bbce17b11322dc90989921dc215

Observation 1fb25bca-c55c-47c0-8c3b-f942c73127e8 · outbound

This paper cites Ros, Compact hypersurfaces with constant scalar curvature and a congruence theorem , Journal of Differential Geometry, 1988, 27(2): 215-220.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Ros, Compact hypersurfaces with constant scalar curvature and a congruence theorem , Journal of Differential Geometry, 1988, 27(2): 215-220

Reference 31

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source=pdf_text observed=2026-08-06T15:04:39.407989Z digest=sha256:13b5dccad7e655940f5e4c31d4ea0d3580ac3a70edc4ff92e64b88fc44d0e0b0

Observation 352050de-7e5e-4eaa-8097-3a6138140a13 · outbound

This paper cites Ros, Compact hypersurfaces with constant higher order mean curvatures , Revista Matem´ atica Iberoamericana, 1987, 3(3): 447-453.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Ros, Compact hypersurfaces with constant higher order mean curvatures , Revista Matem´ atica Iberoamericana, 1987, 3(3): 447-453

Reference 32

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source=pdf_text observed=2026-08-06T15:04:39.409948Z digest=sha256:61030e3af081087e02199c45859f1a274887555a04d44c98ac30eb371e767d53

Observation 5eab8498-cad8-45b1-b039-933011f2c333 · outbound

This paper cites Stong, Some characterizations of Riemann n-spheres, Proceedings of the American Mathemat- ical Society, 1960, 11(6): 945-951.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Stong, Some characterizations of Riemann n-spheres, Proceedings of the American Mathemat- ical Society, 1960, 11(6): 945-951

Reference 33

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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.

source=pdf_text observed=2026-08-06T15:04:39.411942Z digest=sha256:e69971825c2b899296a4e9fd4a1b91ab4888c96e7e83023f73954cfa0182eb82

Observation 7187e0dc-6762-4291-b95b-f585b943133e · outbound

This paper cites On rigidity of hypersurfaces with constant shifted curvature functions in hyperbolic space.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds On rigidity of hypersurfaces with constant shifted curvature functions in hyperbolic space

Reference 34

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verified exact
local_arxiv, observed 2026-08-06T15:04:39.445590Z

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source=pdf_text observed=2026-08-06T15:04:39.414121Z digest=sha256:ddf0af9021207936eab2763b38e12ce70a2343e8995797eca2dfc71ed8031ffa

Observation 1b76ac3f-4086-4c79-9a1e-1d28a1a43ce5 · outbound

This paper cites an unresolved cited work.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Unresolved cited work

Reference 35

Resolution
unresolved
raw_fallback, observed 2026-08-06T15:04:39.487076Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

source=pdf_text observed=2026-08-06T15:04:39.416739Z digest=sha256:78c87e99690434abc5bb6b1fdbe116d333f44de4396c6f9c7b16b311118391ec

Observation d36917f6-8509-40ba-8678-23b808e32547 · outbound

This paper cites Wu, A new characterization of geodesic spheres in the hyperbolic space , Proceedings of the American Mathematical Society, 2016, 144(7): 3077-3084.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Wu, A new characterization of geodesic spheres in the hyperbolic space , Proceedings of the American Mathematical Society, 2016, 144(7): 3077-3084

Reference 36

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verified fuzzy
raw_fallback, observed 2026-08-06T15:04:39.480076Z

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.

source=pdf_text observed=2026-08-06T15:04:39.419073Z digest=sha256:ea73ad2435071c1d7ef17bff2d41c6513f7820b8f07eac57a3b02cfc97edfbb2

Observation ad1ba250-6fde-4e21-bde1-922a8e5ebe78 · outbound

This paper cites Wu and C.

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds Wu and C

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T15:04:39.473001Z

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No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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Pith citing papers

No inbound Pith citation observations are available.