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Paper Citation Record · LEDGER

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities

As of 12 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2507.05908.

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

pith.paper-citation-record.v1
2507.05908 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:30:12.341917Z

measured 19 of 19 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

19 of 19 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3440041f-2ec4-4784-9c0c-77d7be047772 · outbound

This paper cites Statist., 1,391-407, (1995/97).

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities Statist., 1,391-407, (1995/97)

Reference 1

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 7cdc2d88-2abf-4d10-b62a-68b8f765d494 · outbound

This paper cites Surveys in differential geometry.

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities Surveys in differential geometry

Reference 2

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 16573752-a498-4314-beb6-86a7cb0d0c50 · outbound

This paper cites an unresolved cited work.

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities Unresolved cited work

Reference 3

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation e924af12-92ba-4f6d-b248-54b5caef1d2f · outbound

This paper cites CaseA Yamabe-type problem on smooth metric measure spaces, J.

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities CaseA Yamabe-type problem on smooth metric measure spaces, J

Reference 4

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 8f979b20-4241-427a-99cf-c242d63bbe15 · outbound

This paper cites an unresolved cited work.

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities Unresolved cited work

Reference 5

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 19a799d3-b4a1-4c4f-989a-8bd11295e2e6 · outbound

This paper cites The power series expansions of logarithmic Sobolev, $\mathcal{W}$- functionals and scalar curvature rigidity.

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities The power series expansions of logarithmic Sobolev, $\mathcal{W}$- functionals and scalar curvature rigidity

Reference 6

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation c992b625-ed81-4c35-83df-2fef33fcb90d · outbound

This paper cites an unresolved cited work.

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities Unresolved cited work

Reference 7

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 4b527207-ef34-4e8f-9484-f18803af975b · outbound

This paper cites Del Pino, J.

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities Del Pino, J

Reference 8

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation f7e3d101-e402-4285-aff8-fb9520d0622c · outbound

This paper cites Gray,Tubes, Second, Progress in Mathematics, vol.

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities Gray,Tubes, Second, Progress in Mathematics, vol

Reference 9

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 61077e4d-574f-4520-9854-8717abcc5c8b · outbound

This paper cites Four Lectures on Scalar Curvature.

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities Four Lectures on Scalar Curvature

Reference 10

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation c0d4711f-c228-4448-8a0d-88c6d0db5481 · outbound

This paper cites A dozen problems,questions and conjectures about positive scalar curvature.Founda- tions of Mathematics and Physics One Century After Hilbert: New Perspectives, 2018: 135-158.

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities A dozen problems,questions and conjectures about positive scalar curvature.Founda- tions of Mathematics and Physics One Century After Hilbert: New Perspectives, 2018: 135-158

Reference 11

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 4f3dafc4-cc22-42ad-8e58-9f4e0c712446 · outbound

This paper cites an unresolved cited work.

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities Unresolved cited work

Reference 12

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 8ae888da-a0f8-4f00-948c-524f8b7575c9 · outbound

This paper cites Ohta, S.Caffarelli-Kohn-Nirenberg inequality on metric measure spaces with applications.

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities Ohta, S.Caffarelli-Kohn-Nirenberg inequality on metric measure spaces with applications

Reference 13

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 2f827557-aeb3-41a9-ab98-dcfa39cf1657 · outbound

This paper cites an unresolved cited work.

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities Unresolved cited work

Reference 14

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation cc46ff67-d3f6-431b-b52f-fcab65752868 · outbound

This paper cites an unresolved cited work.

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities Unresolved cited work

Reference 15

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 2df1f4b4-8aba-4b78-9bbc-2e64ae1a77e8 · outbound

This paper cites Kotschwar, B.Gradient estimate for p-harmonic functions, 1/H flow and an entropy formula, Ann.

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities Kotschwar, B.Gradient estimate for p-harmonic functions, 1/H flow and an entropy formula, Ann

Reference 16

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 1891536d-6b5d-4a52-befe-fde34815beca · outbound

This paper cites Lectures on differential geometry.

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities Lectures on differential geometry

Reference 17

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 421f9ad1-a527-428d-b145-8b72e5982f05 · outbound

This paper cites an unresolved cited work.

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities Unresolved cited work

Reference 18

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 14553c16-38c5-498d-b176-70f0b5598754 · outbound

This paper cites Witten,A new proof of the positive energy theorem, Comm.

On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities Witten,A new proof of the positive energy theorem, Comm

Reference 19

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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