Pith. sign in

Paper Citation Record · LEDGER

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

As of 11 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 2026-08-11T06:34:44.6726+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

  • verified exact0
  • verified fuzzy10
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:30:16.324594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:30:10.361683Z digest=sha256:747cc69e93e49158484855b66a2b410df55084632a173de48209aa71c9a0e0fd

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:30:16.155109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:30:10.481132Z digest=sha256:58bf23de11d080ec068de36c4b09d32865aa5f9bc481938becf29edbf553a5d2

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

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:30:15.865175Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:30:10.594667Z digest=sha256:0e0a801f23a05edb46e4d04a7edf33ffd50af6b91afb387b09c636e0e965687f

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:30:15.598924Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:30:10.724202Z digest=sha256:cba2a50e82696947f3ea995cce0e2e9d1819bccd03805ab9072bcf096daf8827

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

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:30:15.297845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:30:10.827287Z digest=sha256:9c670fa96f508f66e096bf28c938fc1e19c5c3064b7ac65daaf274f0bb7040ca

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

Resolution
unresolved
no resolver link, observed 2026-08-06T19:30:10.936375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:30:10.936375Z digest=sha256:a13389d43e7fb9dfcd089b5fc9fda9155126d753a69fffea37e26dd987e46d0d

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

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:30:15.044025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:30:11.073833Z digest=sha256:353d78e162a5656e1145e7650bfda51de6fc7b39824c4cb665e354a0afe28b03

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:30:14.854572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:30:11.207892Z digest=sha256:48613f468620d2c3b060534acc149a5d280216b7ce4b259bfe6fdc1f43dce215

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:30:14.540024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:30:11.290707Z digest=sha256:10ca5e6437c7ce7f32e67e78dcf4318c2796d32d79c89e1e071988b132623981

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

Resolution
unresolved
no resolver link, observed 2026-08-06T19:30:11.377701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:30:11.377701Z digest=sha256:201b217753ccc98788367d9cb19224547c6930aa488d87b5e9b3ec2851af4071

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:30:14.219368Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:30:11.477613Z digest=sha256:b25b1fdbf902b9d0c4b289d85847265b0e866c8c32e7a66315a934b8bc41c87c

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

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:30:13.915873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:30:11.583380Z digest=sha256:682be6848c754f3bc93781cf62ad5096a42e4b3a70bfdc274e8903122c985384

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:30:13.612823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:30:11.711327Z digest=sha256:4587f58ec2c977478f04184a2136db9083c2dc509d6fe609df8fc77521910a56

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

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:30:13.309447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:30:11.818828Z digest=sha256:cfb0598442ae28c32d0692d6c7f19972a60a7e2385c8b1992c2146971b9c11cd

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

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:30:13.162858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:30:11.899827Z digest=sha256:ff7b430abb66283f4d44366903b5ef567d35d567d643eda4b837956568a36454

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:30:13.008707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:30:12.015657Z digest=sha256:ff96e0ea81c4102c88a56f893a8104c132e68a751e333826903c84283eacef96

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:30:12.860674Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:30:12.088282Z digest=sha256:d72ada9a96d85dde55203510719f2499d09c42aa0caf93430b8ff8e2f8c70267

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

Resolution
unresolved
raw_fallback, observed 2026-08-06T19:30:12.697838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:30:12.265888Z digest=sha256:7ad8aba3b5721a2bfa1e54f3642c33dca710b3b0a58c11bee23ed07010c166c8

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T19:30:12.526449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-06T19:30:12.341917Z digest=sha256:51397b75a815d8afde0e732d90d1a844fc44a28a5306c401fa7f573a0fc99a3e

Pith citing papers

No inbound Pith citation observations are available.