Paper Citation Record · LEDGER

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres

As of 7 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 2 inbound Pith citation observations for arXiv:2607.10733.

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

pith.paper-citation-record.v1
2607.10733 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T09:38:39.136468Z

measured 39 of 39 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T02:03:27.707748Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

37 of 37 outbound references displayed

verified exact0
verified fuzzy0
unresolved37
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malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c1466e80-9c24-41a9-821c-f77a9f433843 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdf8c980-ca5b-4093-af77-6b5cc3c13e61 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c86fc460-ec05-48a1-98ec-062d835aa7a7 · outbound

This paper cites Chen and S.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Chen and S

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0445905c-ef99-4cb5-b399-4e53ea5ff8bb · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7b5fc03-f286-4682-a22c-25ecbbd8dbf7 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8653ed5-06c1-460c-ac69-bfff76a3b181 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

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Observation 2bcedc24-0594-4dd1-bfd7-fb56e9d3e743 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8298bfc1-4ad0-4f18-aaee-8049f2118087 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2ee52bf0-e0c5-4608-b754-4c496f015abb · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3b511e3b-a08b-48bb-bc53-9d112b751a7f · outbound

This paper cites Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf806f09-c8b8-48fd-ad30-8d6abea6ff4f · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b819b096-66e4-4bdf-b354-aae778fb6441 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 687a45fa-9005-4706-9df7-2fe381e396df · outbound

This paper cites Ding and Y.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Ding and Y

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7da36f94-8fe3-41ab-83be-63991b6ba373 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e2b28652-1c6f-4ab7-94ad-8488cd32dab2 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3b983e1-d1b6-485c-8cb6-5968665af15f · outbound

This paper cites Rigidity of Closed Minimal Hypersurfaces in $\mathbb{S}^5$.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Rigidity of Closed Minimal Hypersurfaces in $\mathbb{S}^5$

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9857e106-1da0-4158-958e-55f5737294d9 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df9fe4e7-f6e0-45f3-be24-28de11fa10c1 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d684c80a-1c39-4175-88c1-b8c0ffa89654 · outbound

This paper cites On Chern's conjecture for minimal hypersurfaces in spheres.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres On Chern's conjecture for minimal hypersurfaces in spheres

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e9619f63-a340-456b-aa67-b873ffdd67d3 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9661cdda-276b-449e-9599-9b707c34dc75 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 55d17e2d-49a6-48d8-aa68-ea50b05ff59a · outbound

This paper cites Flat minimal tori and Lu's second-gap conjecture.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Flat minimal tori and Lu's second-gap conjecture

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72e93653-fc31-4a3b-a699-9954137b4812 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 23

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 49902835-c35b-419e-a283-5a7427505100 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 24

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df449981-af1e-4079-9d15-09660687040f · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b236dee8-8502-4b06-8a36-51e061cc8850 · outbound

This paper cites Scherfner, S.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Scherfner, S

Reference 26

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8d1b08ef-4c0b-4348-bac3-66f13590e36d · outbound

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

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Simons,Minimal varieties in Riemannian manifolds, Ann

Reference 27

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69343950-9860-485a-af95-3b84297140bf · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 28

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f26c228d-3544-4e9d-951c-8e6ce7b399a2 · outbound

This paper cites Minimal Hypersurfaces with constant scalar curvature in $\mathbf{S}^6$.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Minimal Hypersurfaces with constant scalar curvature in $\mathbf{S}^6$

Reference 29

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6eeeee82-dd00-4207-bcc9-1b1c16085c79 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 59febf64-8b98-4373-9c8a-f667577034aa · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 84f9abfc-6df4-4029-9f28-f96b9a9cf87d · outbound

This paper cites Verstraelen,Sectional curvature of minimal submanifolds, in: Proceedings Workshop on Differ- ential Geometry (ed.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Verstraelen,Sectional curvature of minimal submanifolds, in: Proceedings Workshop on Differ- ential Geometry (ed

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

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Observation 0b560b21-7ce8-4783-8d2a-fff8bc09e518 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 33

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c1adf28-8991-4068-8d8f-e4d8431d47bc · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 34

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dd8ecc72-4ba5-4e32-b9f8-a3d99c0a8d40 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 35

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b6dad52-5f4c-4360-92f1-7cd182bf5175 · outbound

This paper cites an unresolved cited work.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Unresolved cited work

Reference 36

Resolution: unresolved; no resolver link, observed 2026-07-14T09:38:39.136468Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 12209e16-c41e-4ac3-8fb5-2c0a03f72cac · outbound

This paper cites Zhang,The pinching constant of minimal hypersurfaces in the unit spheres, Proc.

On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres Zhang,The pinching constant of minimal hypersurfaces in the unit spheres, Proc

Reference 37

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Pith citing papers

Observation 460564b5-7cb7-46d9-b600-929a357d2164 · inbound

Lu's conjecture for minimal surfaces in codimension two cites this paper.

Lu's conjecture for minimal surfaces in codimension two On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-01T08:01:04.684865Z

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Observation 37f57c3c-e1af-485a-9acf-0ebc1f1972ae · inbound

Lu's conjecture for minimal surfaces in codimension two cites this paper.

Lu's conjecture for minimal surfaces in codimension two On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-03T02:03:27.707748Z

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Unavailable: canonical work link unavailable.