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Paper Citation Record · LEDGER

Alexandrov Theorem for constant weighted mean curvature surfaces

As of 19 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2608.05119.

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

pith.paper-citation-record.v1
2608.05119 v2

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measured 32 of 32 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T14:46:13.396597Z

measured 33 of 33 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T04:45:54.081995Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-14T04:45:54.174470Z

Reference resolution

32 of 32 outbound references displayed

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  • verified fuzzy29
  • unresolved2
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Outbound references

Observation bdaec2ee-423f-48d0-9f4d-44e7c03ebfc7 · outbound

This paper cites an unresolved cited work.

Alexandrov Theorem for constant weighted mean curvature surfaces Unresolved cited work

Reference 1

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raw_fallback, observed 2026-08-15T14:46:13.738241Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation c2dd0446-9dd5-4f3d-9728-eed3f5855dca · outbound

This paper cites Ancari and X.

Alexandrov Theorem for constant weighted mean curvature surfaces Ancari and X

Reference 2

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raw_fallback, observed 2026-08-15T14:46:13.728620Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.298677Z digest=sha256:1dd18e637cd72b2542cd2940335a6972547624e2bdf486b1a93a0e56bd39b99c

Observation 5c8ed967-315c-44ae-89c5-05d21d6c2abd · outbound

This paper cites An Alexandrov-type theorem in warped product manifolds with radial density.

Alexandrov Theorem for constant weighted mean curvature surfaces An Alexandrov-type theorem in warped product manifolds with radial density

Reference 3

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local_arxiv, observed 2026-08-15T14:46:13.428767Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.302079Z digest=sha256:ee901128a02d8802c5ba53756e3cc39a84d42c5e09f665dce847c41a97fc9910

Observation 6a1f8f09-637d-43bf-85d2-7ebe78c5abd4 · outbound

This paper cites Batista, M.

Alexandrov Theorem for constant weighted mean curvature surfaces Batista, M

Reference 4

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raw_fallback, observed 2026-08-15T14:46:13.718622Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.305635Z digest=sha256:6a75c6e18567bd0e634903d7cfe7edda69fff242903673ed084e4d3243334f78

Observation 26e116fb-ec9c-4279-972a-3e1b111b2b5d · outbound

This paper cites Borghini, M.

Alexandrov Theorem for constant weighted mean curvature surfaces Borghini, M

Reference 5

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raw_fallback, observed 2026-08-15T14:46:13.709005Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.309123Z digest=sha256:969ebb2c697df14f8dd8d5d41a2accac3ad4cb582ac375577232adc23ca2f2a6

Observation a6513d55-1006-41eb-9e9a-a2a6e5d36860 · outbound

This paper cites Brendle,Constant mean curvature surfaces in warped product manifolds,Publ.

Alexandrov Theorem for constant weighted mean curvature surfaces Brendle,Constant mean curvature surfaces in warped product manifolds,Publ

Reference 6

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raw_fallback, observed 2026-08-15T14:46:13.699771Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.312582Z digest=sha256:a099e4461bce469eac0ccc6e72f0ba044ec4297a744f308157d6fc9dacf75212

Observation d47c4636-4069-4718-8470-f0ae9c7b91d8 · outbound

This paper cites Brendle, S.

Alexandrov Theorem for constant weighted mean curvature surfaces Brendle, S

Reference 7

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raw_fallback, observed 2026-08-15T14:46:13.690209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.315979Z digest=sha256:f8fe60065560e5c74904cba39abe6ae0f0e5ccde57e020579a37d25ca6caa3cc

Observation f1d0deef-01ca-4f92-a67a-4d8168e88755 · outbound

This paper cites Chambers, Proof of the log-convex density conjecture, J.

Alexandrov Theorem for constant weighted mean curvature surfaces Chambers, Proof of the log-convex density conjecture, J

Reference 8

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verified fuzzy
raw_fallback, observed 2026-08-15T14:46:13.680875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.319337Z digest=sha256:12478d25ad390ef0eb079654f27fbdfea1be18a483c8056b665b16601c0c9c90

Observation 44e71cc3-d5fc-4e91-aee7-fc53590578fc · outbound

This paper cites Cheng and G.

Alexandrov Theorem for constant weighted mean curvature surfaces Cheng and G

Reference 9

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raw_fallback, observed 2026-08-15T14:46:13.670714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.322162Z digest=sha256:fe9c312d65985024d6e37a9ae3bdde8c9f9999231b8b5eb723de22669b60ad9f

Observation ce731180-990c-4784-8d09-0c725125c00b · outbound

This paper cites Cheng, J.

Alexandrov Theorem for constant weighted mean curvature surfaces Cheng, J

Reference 10

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raw_fallback, observed 2026-08-15T14:46:13.661713Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.325240Z digest=sha256:864aed569f1f0290fd6e7533c5909385fadf34bf4c14092ff5e40baceff1aa54

Observation da2dba2e-4d6e-4f51-8a40-045a22953b57 · outbound

This paper cites Colding and W.

Alexandrov Theorem for constant weighted mean curvature surfaces Colding and W

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:46:13.652320Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.328363Z digest=sha256:8b00718d8e6d92d1a5e4f220901fa74caed8d7751f68e1e5a651df2560737b41

Observation a4e64205-c2c6-471c-9c91-f6cbf1f4b7f4 · outbound

This paper cites Fogagnolo and A.

Alexandrov Theorem for constant weighted mean curvature surfaces Fogagnolo and A

Reference 12

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raw_fallback, observed 2026-08-15T14:46:13.642478Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.331532Z digest=sha256:ee04aade345a42e97ebaf27c95c5d3124db1edd69dd4ff3e65c1e8cd077e830e

Observation fe499be5-7940-4a1e-9862-a22ef573d9f1 · outbound

This paper cites Hopf,Über Flächen mit einer Relation zwischen den Hauptkrümmungen,Math.

Alexandrov Theorem for constant weighted mean curvature surfaces Hopf,Über Flächen mit einer Relation zwischen den Hauptkrümmungen,Math

Reference 13

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raw_fallback, observed 2026-08-15T14:46:13.631812Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.335245Z digest=sha256:f08e3a6ec8f915170ea5a0edd62e0da7f91fd3c5e8c0347a0dacd4d42f591eef

Observation d250b800-ab5d-4d32-a67e-7c371cae1468 · outbound

This paper cites Hopf,Differential Geometry in the Large.

Alexandrov Theorem for constant weighted mean curvature surfaces Hopf,Differential Geometry in the Large

Reference 14

Resolution
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raw_fallback, observed 2026-08-15T14:46:13.622032Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.338295Z digest=sha256:fedb0f0098338b80e3bbffdea76fbda3e5cec80735f656651ae3c9d26b919553

Observation ae809e38-fed8-4d28-a583-c57b627eacb4 · outbound

This paper cites Hsiang,Generalized rotational hypersurfaces of constant mean curvature in the euclidean spaces.

Alexandrov Theorem for constant weighted mean curvature surfaces Hsiang,Generalized rotational hypersurfaces of constant mean curvature in the euclidean spaces

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:46:13.611797Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.341291Z digest=sha256:0c63ed76b8d516a1b2efb95abe18e2fe764e06ff057b3358338219dd9457d5ed

Observation a7415be6-b199-4d8e-b269-ff5be0048d9d · outbound

This paper cites Hsiang, Z.-H.

Alexandrov Theorem for constant weighted mean curvature surfaces Hsiang, Z.-H

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:46:13.601600Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.344233Z digest=sha256:e95dcbd283b3495f6b7ae2c6588739ff321aa77c386f58b2b1808cd2b4c1c7e7

Observation 8fb883d5-cf76-4a60-8a7e-243edda50cfa · outbound

This paper cites Huisken,Asymptotic behavior for singularities of the mean curvature flow,J.

Alexandrov Theorem for constant weighted mean curvature surfaces Huisken,Asymptotic behavior for singularities of the mean curvature flow,J

Reference 17

Resolution
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raw_fallback, observed 2026-08-15T14:46:13.592730Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.347315Z digest=sha256:7e65873d8e4fe2c255264e4a07726684fe3434909847baa248d89f159ebf4b6c

Observation 14f0b295-fa01-4f76-acca-9bb7751daea8 · outbound

This paper cites Huisken and A.

Alexandrov Theorem for constant weighted mean curvature surfaces Huisken and A

Reference 18

Resolution
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raw_fallback, observed 2026-08-15T14:46:13.582595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.350338Z digest=sha256:acbbc11c3b160a10f2be421d07f41d95d7f156828548e0f3356b111a7bd70c5f

Observation ffbc8219-f3bc-4a99-9e64-a567659a0484 · outbound

This paper cites Jellett,Sur la surface dont la courbure moyenne est constante,Journal de Mathématiques Pures et Ap- pliquées 18, 163–167 (1853).

Alexandrov Theorem for constant weighted mean curvature surfaces Jellett,Sur la surface dont la courbure moyenne est constante,Journal de Mathématiques Pures et Ap- pliquées 18, 163–167 (1853)

Reference 19

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raw_fallback, observed 2026-08-15T14:46:13.572114Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.353370Z digest=sha256:b10ce07b7b7005ddc2cc5ef377ea86a616b3315ebc5b70e06dffc383cd9486a6

Observation 4cc3f13f-8c8c-4949-a428-6d3962182d82 · outbound

This paper cites Li and C.

Alexandrov Theorem for constant weighted mean curvature surfaces Li and C

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:46:13.562786Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.356652Z digest=sha256:6c241e57c2cc269fbf72b90db7058dbee3c1a6eb354bd5183a8072ae82d92aea

Observation fa370913-ede8-418e-8fd0-180d0537c19d · outbound

This paper cites an unresolved cited work.

Alexandrov Theorem for constant weighted mean curvature surfaces Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-15T14:46:13.553064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.359904Z digest=sha256:49aec680326b027eee2d09def76e15543a1f5b4323c78941d94fe0b7294bc347

Observation 6ab5e373-5c67-424b-ae32-1d3ff351104b · outbound

This paper cites Liebmann,Ueber die Verbiegung der geschlossenen Flächen positiver Krümmung,Math.

Alexandrov Theorem for constant weighted mean curvature surfaces Liebmann,Ueber die Verbiegung der geschlossenen Flächen positiver Krümmung,Math

Reference 22

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raw_fallback, observed 2026-08-15T14:46:13.542503Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.363127Z digest=sha256:0b88cd30e297b613eb1dfc392a69d2e62d62c73d35896c2bb3b6c88ebc8502ad

Observation 298a5f21-1b0e-4841-9a68-87ebfb0af306 · outbound

This paper cites Montiel and A.

Alexandrov Theorem for constant weighted mean curvature surfaces Montiel and A

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:46:13.531981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.367236Z digest=sha256:3b3dd1dd7827e28240e9c2df74bd1e63e2de57adda99cc1d8a1e3db930f78b7e

Observation feb39c89-a67a-4f06-8829-846b4064cef7 · outbound

This paper cites Morgan,Manifolds with density, Notices Am.

Alexandrov Theorem for constant weighted mean curvature surfaces Morgan,Manifolds with density, Notices Am

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:46:13.522129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.370340Z digest=sha256:27ca03de4fb1cc5d99e8913e8541d46e5bdbff6e7344043e4f57de03a094e4fe

Observation fdcc4720-130a-4cb5-9c94-b25f49795c69 · outbound

This paper cites Petersen,Riemannian Geometry,3rd edition, Grad.

Alexandrov Theorem for constant weighted mean curvature surfaces Petersen,Riemannian Geometry,3rd edition, Grad

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:46:13.512910Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.373332Z digest=sha256:18fcaf38f943869900d3963b11a3268dd1d1e64966ffc20bd545d6b3f58d0059

Observation ae959c17-fece-462a-8b74-d5e968ef3c35 · outbound

This paper cites Reilly,Applications of the Hessian operator in a Riemannian manifold,Indiana Univ.

Alexandrov Theorem for constant weighted mean curvature surfaces Reilly,Applications of the Hessian operator in a Riemannian manifold,Indiana Univ

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:46:13.503322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.376224Z digest=sha256:619f590d341f0b882bc6772aade38ffe25814efefd06da4cc0f980d054838166

Observation 8dc36c45-8bb6-469c-9695-e084f411e84a · outbound

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

Alexandrov Theorem for constant weighted mean curvature surfaces Ros,Compact hypersurfaces with constant higher order mean curvatures,Rev

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:46:13.493673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.379914Z digest=sha256:5e97a4febd0479ad914c81ac870590288fdf5e83005ff26a0a0da2743be3d598

Observation 49558891-d8e0-4548-bb5b-1cc4b7831859 · outbound

This paper cites Ros,Compact hypersurfaces with constant scalar curvature and a congruence theorem,J.

Alexandrov Theorem for constant weighted mean curvature surfaces Ros,Compact hypersurfaces with constant scalar curvature and a congruence theorem,J

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:46:13.483293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.382837Z digest=sha256:6368eaed4708ef891bd5a3a0d12dceed1e341fb5af0086c6a1704f087871a3d8

Observation 160aa691-1850-4fee-b194-36a26763a290 · outbound

This paper cites Silini,Approaching the isoperimetric problem inH m C via the hyperbolic log-convex density conjecture,Calc.

Alexandrov Theorem for constant weighted mean curvature surfaces Silini,Approaching the isoperimetric problem inH m C via the hyperbolic log-convex density conjecture,Calc

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:46:13.471717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.386078Z digest=sha256:2c240f87cb50e3122d6ddd905f9a03ab07cf1c94db83776c30befbe365dbd543

Observation 69755622-3488-4214-a41c-86874bd02f9a · outbound

This paper cites Simons,Minimal varities in Riemannian manifolds,Ann.

Alexandrov Theorem for constant weighted mean curvature surfaces Simons,Minimal varities in Riemannian manifolds,Ann

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:46:13.460183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.390129Z digest=sha256:778532756f6714a716d0da3431f4daf4b2c1b7529660411f54f7b57695c73037

Observation d0dfe360-ae3f-4245-b6ca-632aa5a0258a · outbound

This paper cites Stone,A density function and the structure of singularities of the mean curvature flow, Calc.

Alexandrov Theorem for constant weighted mean curvature surfaces Stone,A density function and the structure of singularities of the mean curvature flow, Calc

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:46:13.449651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.393497Z digest=sha256:53117215123130edeeac8ccaa7e7db2579c3b456f9acce0061892b5b8cedc29e

Observation 8b7285ee-f425-4994-8c91-6ed5c586b29c · outbound

This paper cites Wente,Counterexample to a conjecture of H.

Alexandrov Theorem for constant weighted mean curvature surfaces Wente,Counterexample to a conjecture of H

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T14:46:13.439339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T14:46:13.396597Z digest=sha256:e018c95ee8929f5ead7796443b06a28eb749b8e5f53f0782bb4c8bf4c4d0cc20

Pith citing papers

Observation 6b01250b-1d70-403b-a9d6-17077e74c7e6 · inbound

An Alexandrov-type theorem in warped product manifolds with radial density cites this paper.

An Alexandrov-type theorem in warped product manifolds with radial density Alexandrov Theorem for constant weighted mean curvature surfaces

Reference 15

Resolution
verified exact
local_arxiv, observed 2026-08-14T04:45:54.181431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-14T04:45:54.081995Z digest=sha256:c9551039b9ef0ea13321dd59995dac46acbf8ace7052cceacd0b9e8d3191d26f