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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 2026-08-18T06:34:40.430872+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

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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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.298677Z digest=sha256:27abdeb998361a59995f51cae29c11141d56ba2740d418299d98be5aea14c228

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.302079Z digest=sha256:5e48252d5cc70d918a3361e9ec8eca80e94ea626ad4aa725206e03566a7c3b38

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.305635Z digest=sha256:95fa9cb56b32e10ac16b946335fd5bafc22d87efbd0d3656bc4d6ce278b0636c

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.309123Z digest=sha256:d00e1a43897a96609577b4bc2b7bba06121be5df39e02c417a13806caeb8aaee

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.312582Z digest=sha256:d9a0394bb28aa9ef14477717d9d83c529dfbdac9a74b76ff534bff8ccb11cde9

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

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.315979Z digest=sha256:d33fe07084dc08d556612a3b35c00ab37a69545edd88d710cf5039207dab8534

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

Resolution
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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.319337Z digest=sha256:cad58a45ef64be1daa99ab909f5a44d982e080604ea281e54f89d5a9f7b231ce

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.322162Z digest=sha256:5e21a8e3b453f909bca735b46cb605e833119725eb4c94ffa2f2dd6b54c8d8b0

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.325240Z digest=sha256:ba4851774e07586f04437a9fd09f38a73f2a4ce299f41affd79dfbd588ce6709

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

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.328363Z digest=sha256:a96e70fefc4d3bf179cd8bfd965491f0c394325d9c81c7376417d117ca535843

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

Resolution
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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.331532Z digest=sha256:2debe26341afc43b5df5813f89ed1309ce8a81ca718028a2b2757a556173ae56

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.335245Z digest=sha256:d9a4050f00c5f3991242dece6c45b38e709149e8d9a51eb57950096f7a0b57b3

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

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source=pdf_text observed=2026-08-15T14:46:13.338295Z digest=sha256:4feecd986c3c82666abc806e0f63e7829036aff8901cc72e4bd2da82a26bd95b

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.341291Z digest=sha256:69a999366944136175dfece07784ff0974cdf9094379b744d8c4adb1247fd60b

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.344233Z digest=sha256:8aa5765f6ce0f447357e8a38efd58d77be15767a8f1c9b86d94b6ca436378879

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.347315Z digest=sha256:6e44f47cf625b3654b12c1eba27bffc87a0ad6d41da7e547eb65bef9a6238be7

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.350338Z digest=sha256:ba90fea0f7b3fde8acb3e739bc7c183de2c461f8fc2eea214ae8d765598d14fe

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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source=pdf_text observed=2026-08-15T14:46:13.353370Z digest=sha256:63285ecf922a845e2c7f9c11be0b5f329c5a9e3045d7dfc01834c346321d9ae2

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.356652Z digest=sha256:4f3b722fbbc1664bdafe0a1127ab9a9599fe281220f9d96cc23622e3acddf8cd

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
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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.359904Z digest=sha256:a0f44580ba8b06bc6ac2f5f27e549f173d030fc6f23bd164c6e2af997a848c89

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.363127Z digest=sha256:e3120cd173e4f743b40b600453d1be4b4b147cdfa907e26204b0cae942452efb

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

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.367236Z digest=sha256:4d61258718ff159835341f8afbb79a5725318be8ca54971e53047146da67b3e9

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

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.370340Z digest=sha256:76a47b1e94ba08e858d344e9d7367541ea9f6ccb7cf653424cf5b7d1cfabdf47

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

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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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.373332Z digest=sha256:d510c8fd451d88e3bf8c88811dc88c5ec52ffd1c88145b9a7c718409dcdfa225

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.376224Z digest=sha256:70aefc740c576e76c15aa9aef811c4c05d2debcc92ab0abb792fd29759b897c8

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.379914Z digest=sha256:7e6664c455f5f9f3df59db1cc292ccb8fbf511cfbb15eb23c1b4716964b02d38

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.382837Z digest=sha256:f2a21ecd0ee76a55e0e384dd5b1a564734832e4a2b8d6f3e1356c4f6457fb51a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.386078Z digest=sha256:ae43744c09fae287ef35b44e5abaa942f1d60590205e517abd6cdae8c7428e02

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.390129Z digest=sha256:6ae8bb3ce080adfdfa9b521091758680888c0b57a25659193aef3a30dabd01c8

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.393497Z digest=sha256:b0647536721abfbff9f5f01be1ba1396c45ee4ac071be3f448d483059e157c6f

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T14:46:13.396597Z digest=sha256:bd032431303135671865e9320b1a6120cffae23015d59f274ae69b10fe52754a

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T04:45:54.081995Z digest=sha256:2041c3bfa9a01494a71a2b64259c3feb121426f1e83c4b570ab9669602104c55