Pith. sign in

Paper Citation Record · LEDGER

Lu's conjecture for minimal surfaces in codimension two

As of 8 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2607.21336.

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

pith.paper-citation-record.v1
2607.21336 v2

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-03T02:03:27.744123Z

measured 23 of 23 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

23 of 23 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved23
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 59331f4f-00ff-4cff-b33c-a9fc26d7d50d · outbound

This paper cites Calabi,Minimal immersions of surfaces in Euclidean spheres, J.

Lu's conjecture for minimal surfaces in codimension two Calabi,Minimal immersions of surfaces in Euclidean spheres, J

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.678262Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.678262Z digest=sha256:18400d3750db9906ff8ba072782156e8deb12ed043a44f4a7e56962e79a32bdd

Observation 6e01cf2f-e21b-4d65-8de1-02f7b2a326ba · outbound

This paper cites do Carmo and N.

Lu's conjecture for minimal surfaces in codimension two do Carmo and N

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.682287Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.682287Z digest=sha256:1d1ef5ac2c729c2cc09ba35b85d69c15d7c8a10704058d62d1cf56a4dd88e0f8

Observation d9fac2e6-d538-4805-b54f-94f71a5aefd6 · outbound

This paper cites an unresolved cited work.

Lu's conjecture for minimal surfaces in codimension two Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.685605Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.685605Z digest=sha256:dca65b3003af1c7efff60a3939cf68392ed1ab5448b3610e439d945f93481ab0

Observation 4dd6ebbb-d6ab-47ba-a731-e9222c9b2675 · outbound

This paper cites an unresolved cited work.

Lu's conjecture for minimal surfaces in codimension two Unresolved cited work

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.689232Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.689232Z digest=sha256:95b17a5aad4746d9cc347474e05dff3fa2d210d8c01619cddb4a696fa81074f2

Observation dd720f5d-b998-47fd-a479-3b6a155a98cc · outbound

This paper cites an unresolved cited work.

Lu's conjecture for minimal surfaces in codimension two Unresolved cited work

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.692683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.692683Z digest=sha256:8816193b6e604aba1d632f74fc9019ad18536a0dc642b21c9f7fbaf0423d43b7

Observation 26ea81bd-c185-48d2-afbd-ad1481a6fe6d · outbound

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

Lu's conjecture for minimal surfaces in codimension two Closed Minimal Hypersurfaces in $\mathbb{S}^5(1)$ with Constant Scalar and Gauss-Kronecker Curvatures

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.695555Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.695555Z digest=sha256:303af5ed1fb8b8dca09eecdc4252bbd48d3bd7d6631394942d91c727d615b819

Observation 5181f359-cc25-4527-931d-aaddab98d594 · outbound

This paper cites an unresolved cited work.

Lu's conjecture for minimal surfaces in codimension two Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.699907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.699907Z digest=sha256:5998c57d3c0d759a624225f4742bbbdf80e2ce3614d08af0bb324a461cdabf34

Observation 3c03bfd2-2487-4abd-a33e-ccde084cf857 · outbound

This paper cites an unresolved cited work.

Lu's conjecture for minimal surfaces in codimension two Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.702715Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.702715Z digest=sha256:7e056483c449550cf90823a01e775da185596e3258e810ef4c2978b3aeec5dd8

Observation f51a0c9b-2f13-497d-b601-f640d3804e04 · outbound

This paper cites an unresolved cited work.

Lu's conjecture for minimal surfaces in codimension two Unresolved cited work

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.705261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.705261Z digest=sha256:f816586230e7d2e199e0029b765e1b5fbc514e23d80efb9ed76a1b3a45272dd6

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

This paper cites On Chern's Conjecture for Minimal Submanifolds with Flat Normal Bundle in Spheres.

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.707748Z digest=sha256:8529fdd34efde7041b68934274a89c736e46896c6dc6ccaa6080d1a897bc968a

Observation bd43de09-b894-4318-8dfa-ec71c25444b4 · outbound

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

Lu's conjecture for minimal surfaces in codimension two Rigidity of Closed Minimal Hypersurfaces in $\mathbb{S}^5$

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.710837Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.710837Z digest=sha256:d670ce7707f91cff419f7e900da269f794f3d8a48a218aadd8ef3491ade3c158

Observation e3ad7623-e908-4c36-976a-a030599ca271 · outbound

This paper cites an unresolved cited work.

Lu's conjecture for minimal surfaces in codimension two Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.713968Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.713968Z digest=sha256:c4c871093751dca72f0332378bf0d981fa454f0947ac7e5c8c7a419b41d2fdca

Observation df61ffd7-4393-4e60-ab7a-0003a8d76bb1 · outbound

This paper cites an unresolved cited work.

Lu's conjecture for minimal surfaces in codimension two Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.716754Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.716754Z digest=sha256:870cc126197c108285384dd1fe717395ca31dbb356e2e951e745aac1d559cd95

Observation 5349882b-8e8e-41bf-b82a-eb6729488dc1 · outbound

This paper cites an unresolved cited work.

Lu's conjecture for minimal surfaces in codimension two Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.719348Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.719348Z digest=sha256:a85c7ef44a277767c084093d268243da5615950941ada7fa45a99a32be038b82

Observation 55d709d4-c572-4d8a-be29-53afe6dc6517 · outbound

This paper cites an unresolved cited work.

Lu's conjecture for minimal surfaces in codimension two Unresolved cited work

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.722235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.722235Z digest=sha256:7d6ca751abe53a71742a94b8be577e69fe24c5b678399fb7a3a0d21883cd9f63

Observation 78d9ae01-5bde-47aa-b52f-6856caa69065 · outbound

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

Lu's conjecture for minimal surfaces in codimension two Flat minimal tori and Lu's second-gap conjecture

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.725191Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.725191Z digest=sha256:cb74751b84019b67661dc26db35f374aa60535bee523ce8f5d2bda76318f14b8

Observation 619a9589-4575-49f7-8230-c13a5df9c933 · outbound

This paper cites an unresolved cited work.

Lu's conjecture for minimal surfaces in codimension two Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.728169Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.728169Z digest=sha256:b9c47a74a3102d57e42df522d19958956961ac7eaab2f2139545c419f6d612ff

Observation e689b08c-d559-416f-a8c6-c4d09731b8c4 · outbound

This paper cites an unresolved cited work.

Lu's conjecture for minimal surfaces in codimension two Unresolved cited work

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.730682Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.730682Z digest=sha256:d40d42462518268ccb8f45db7ccf28e19233f912c78a0565403514413383d20e

Observation 6c8734a6-d0a7-4514-83d3-7e61b43d098a · outbound

This paper cites an unresolved cited work.

Lu's conjecture for minimal surfaces in codimension two Unresolved cited work

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.733299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.733299Z digest=sha256:36a9fa562e8b95bf3662a0853d6bdef10f8d88d4f07d137bb5ffdfad808da72c

Observation 90f9ffc7-5000-40dd-83f9-023d869cebac · outbound

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

Lu's conjecture for minimal surfaces in codimension two Simons,Minimal varieties in Riemannian manifolds, Ann

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.736159Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.736159Z digest=sha256:85506570e539fac5bca4f9214e187d5101860681189b60d0f562b910b8269cc0

Observation 4a01ed22-83af-44f2-8160-fd8f49b24b28 · outbound

This paper cites an unresolved cited work.

Lu's conjecture for minimal surfaces in codimension two Unresolved cited work

Reference 21

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.739126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.739126Z digest=sha256:1c5997e086ea86a369246d7aec5d7f354d8f45335b025a61b0f95615c2347a90

Observation 452fb23d-8d25-4ffd-884d-fced09b1b148 · outbound

This paper cites an unresolved cited work.

Lu's conjecture for minimal surfaces in codimension two Unresolved cited work

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.741770Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.741770Z digest=sha256:2262f900cb12a1abd10966bcb800e452ede224f2e6ec356536d4430811fb50f1

Observation 0a11da12-9256-4f7b-a6fd-c8628c2dd607 · outbound

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

Lu's conjecture for minimal surfaces in codimension two Minimal Hypersurfaces with constant scalar curvature in $\mathbf{S}^6$

Reference 23

Resolution
unresolved
no resolver link, observed 2026-08-03T02:03:27.744123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T02:03:27.744123Z digest=sha256:1b970563dd995eaba3d4da0b312a473e0d80ebbfc3a6273d2a947593ee1651e5

Pith citing papers

No inbound Pith citation observations are available.