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Paper Citation Record · LEDGER

Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II

As of 23 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 2 inbound Pith citation observations for arXiv:2505.09102.

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

pith.paper-citation-record.v1
2505.09102 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T21:45:47.438441Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T18:39:15.582158Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T18:39:15.692199Z

Reference resolution

15 of 15 outbound references displayed

  • verified exact1
  • verified fuzzy6
  • unresolved8
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation da40a318-93cd-4fe1-ad7f-d3e0117457fb · outbound

This paper cites and Leite, M.A remark on rotational hypersurfaces ofSn, Bull.

Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II and Leite, M.A remark on rotational hypersurfaces ofSn, Bull

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:45:47.703324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T21:45:47.378780Z digest=sha256:596ad0285c43ea920356a71a575fbfd86b72a0137e7dd849b4728cfacff1a4f3

Observation d46cc1fe-8302-49bd-8ba4-1678a2613ab3 · outbound

This paper cites an unresolved cited work.

Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:45:47.690954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T21:45:47.383661Z digest=sha256:a71e4a0304f4f1e33dae0dcf73d848a4d6645e6ba7fb2140b1ee2189effbd3c8

Observation 86a9eae4-58b9-448b-942c-74d6cd7912a7 · outbound

This paper cites an unresolved cited work.

Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:45:47.677725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T21:45:47.387918Z digest=sha256:3b38bdc2a02f38d7d656d823860e6bc2b94874dd27572ff1f35bd690837ea640

Observation 86b7117f-3af7-44e4-bb08-e87b29874238 · outbound

This paper cites and Wei, G.Embedded Constant Mean Curvature hypertori in the2m-sphere, Personal commu- nication.

Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II and Wei, G.Embedded Constant Mean Curvature hypertori in the2m-sphere, Personal commu- nication

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:45:47.664393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T21:45:47.392079Z digest=sha256:d94cc40eb236a5571525f4d92eac42f6b07770e119fb6cedbada6e59cbc1d6ce

Observation 59f88023-baa0-4a90-9509-eac4225f8ac6 · outbound

This paper cites and Neves, A.

Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II and Neves, A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:45:47.651680Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T21:45:47.396108Z digest=sha256:196f54f82ff3a8b9ff6530a9d9c5c721ccb683b5f7aafb42c7ce5e20c55de9e7

Observation 4ad8c578-754c-48ea-bbce-e90cb0bf7d8b · outbound

This paper cites New examples of constant mean curvature hypersurfaces in the sphere.

Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II New examples of constant mean curvature hypersurfaces in the sphere

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-15T21:45:47.400498Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:45:47.400498Z digest=sha256:d379de7c30ccdf45fa6c0075cad761fa34b655e4a5ac5e6fa991e1e88ea07078

Observation 3aa7119d-5cb9-42f1-aab2-9b0d46e983ee · outbound

This paper cites Minimal hypersurfaces in a Riemannian manifold of constant curvature, American Journal of Math.

Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II Minimal hypersurfaces in a Riemannian manifold of constant curvature, American Journal of Math

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:45:47.637948Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T21:45:47.404945Z digest=sha256:ae951a418958fe76aeb54b2d65b0059a895aa71d53a78af04893f99693583f47

Observation e7499cac-2f94-47b8-b7aa-6f97e5bcd447 · outbound

This paper cites Japan Acad.

Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II Japan Acad

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:45:47.624735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T21:45:47.409513Z digest=sha256:1001bd784c11ea1bc6dfc74dc6982a2ec74667b012ee90e75e504027442aa2d4

Observation 84fdd59d-64ba-4559-b578-21493da2e2f2 · outbound

This paper cites Spectrum of the Laplacian and the Jacobi operator on Generalized rotational minimal hypersurfaces of spheres, arXiv:2403.04223 (7 March 2024).

Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II Spectrum of the Laplacian and the Jacobi operator on Generalized rotational minimal hypersurfaces of spheres, arXiv:2403.04223 (7 March 2024)

Reference 9

Resolution
verified exact
raw_fallback, observed 2026-08-15T21:45:47.549324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T21:45:47.413504Z digest=sha256:813453631f91233d2440f9e1be55d2dca24781205c1e323399dde4071c74cd1c

Observation c20b4000-8c9f-4b6e-95cd-58263ecaf4a7 · outbound

This paper cites Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part I.

Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part I

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-15T21:45:47.417333Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:45:47.417333Z digest=sha256:ac4f2a324cb8d4fbc41ca1991cb0b2491d505c25c093113034b6c7bbef0235b5

Observation 8ed4feeb-6ca8-4f42-aa62-5e6aff3b972a · outbound

This paper cites an unresolved cited work.

Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:45:47.611897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T21:45:47.421828Z digest=sha256:b3389285817daa547dee90fa572c68faebf55e0f7d6fb0b3d1aef9af3df4d070

Observation 5137dcf0-1c96-4d13-b4ce-acddfc13c5a7 · outbound

This paper cites A small variation of the Taylor Method and periodic solutions of the 3-body problem.

Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II A small variation of the Taylor Method and periodic solutions of the 3-body problem

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-15T21:45:47.425910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:45:47.425910Z digest=sha256:f0b93c963540d608fe7440bcbe139c3e891e250062e8feb8e702b9492a49ba22

Observation 6ed72309-fe54-45c3-b8fa-9d720246d7ce · outbound

This paper cites an unresolved cited work.

Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-15T21:45:47.430331Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T21:45:47.430331Z digest=sha256:bf1d3ba9922ca3bb5111becc230366748f3ece575306a31a8fecdc43212654ef

Observation 3ebccaef-a00a-4b51-ae67-6303638d2855 · outbound

This paper cites an unresolved cited work.

Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-15T21:45:47.590409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T21:45:47.434347Z digest=sha256:88f62477c0df6b4ca0b43fda1cb52b3048bae245aba986a6f515c46610559e7f

Observation 37226577-224a-4386-9155-a13b50974011 · outbound

This paper cites Yau,Chern-A great geometer of the twentieth century, International Press Co.

Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II Yau,Chern-A great geometer of the twentieth century, International Press Co

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T21:45:47.577482Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T21:45:47.438441Z digest=sha256:2f2acb3f09cf3f1f83d815882b9ee7f18455eeb0e72cc967b594633997d55f56

Pith citing papers

Observation b832926d-d8bc-4940-9828-5383d33b8dda · inbound

Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance cites this paper.

Existence of a constant-mean-curvature hypertorus in \(S^4\) via computer assistance Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-15T18:39:15.700087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-15T18:39:15.582158Z digest=sha256:5d04e16bfda290a1ff2a7f83f447befaf5a3fe308364fd582344b14ec3e9fd3e

Observation 359a4752-42d4-436e-a49a-dacd806548f8 · inbound

New Explicit Eigenfunctions of the stability operator on some minimal hypersurfaces cites this paper.

New Explicit Eigenfunctions of the stability operator on some minimal hypersurfaces Navigating the Space of Compact CMC Hypersurfaces in Spheres, Part II

Reference 13

Resolution
unresolved
no resolver link, observed 2026-07-11T11:28:48.019384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-11T11:28:48.019384Z digest=sha256:39fd8894fd0f8f1f45a1962a72bddd20aac47eba379ec122af6c65ada49c31c2