Paper Citation Record · LEDGER

A Nash-Kuiper theorem for isometric immersions in a high codimension

As of 9 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2507.15808.

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

pith.paper-citation-record.v1
2507.15808 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:34:06.493236Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

36 of 36 outbound references displayed

verified exact0
verified fuzzy35
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External citation measurements

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Outbound references

Observation 1b7e8e39-4987-4f1c-831c-7ae3fc551ba0 · outbound

This paper cites Borisov, The parallel translation on a smooth surface.

A Nash-Kuiper theorem for isometric immersions in a high codimension Borisov, The parallel translation on a smooth surface

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:07.519438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7776c1d3-f96a-4377-b328-75e72e89bdfa · outbound

This paper cites Borisov,C 1,α-isometric immersions of Riemannian spaces.

A Nash-Kuiper theorem for isometric immersions in a high codimension Borisov,C 1,α-isometric immersions of Riemannian spaces

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:07.362499Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 45df1136-a61f-4afb-9203-09afc92511cb · outbound

This paper cites Borisov, Irregular surfaces of the classC 1,β with an analytic metric.

A Nash-Kuiper theorem for isometric immersions in a high codimension Borisov, Irregular surfaces of the classC 1,β with an analytic metric

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:07.145772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1250969f-baff-40fa-9f80-23b6918d54e5 · outbound

This paper cites Buckmaster, C.

A Nash-Kuiper theorem for isometric immersions in a high codimension Buckmaster, C

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.944226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 28fb6c58-6646-4a00-b8f4-92b40f86dace · outbound

This paper cites Buckmaster, C.

A Nash-Kuiper theorem for isometric immersions in a high codimension Buckmaster, C

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.893025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 39706cbb-0dec-43fc-93e0-feafa273ac3c · outbound

This paper cites Cartan, Sur la possibilit´ e de plonger un espace riemannien donn´ e dans un espace euclidien.

A Nash-Kuiper theorem for isometric immersions in a high codimension Cartan, Sur la possibilit´ e de plonger un espace riemannien donn´ e dans un espace euclidien

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.865418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6acf7e49-7dbb-46ed-813a-f8e9aa666b2f · outbound

This paper cites Cao and L.

A Nash-Kuiper theorem for isometric immersions in a high codimension Cao and L

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.834509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 4134bcb4-9788-4844-a882-f27c078af474 · outbound

This paper cites Cao and D.

A Nash-Kuiper theorem for isometric immersions in a high codimension Cao and D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.803398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e0c9d60b-16a7-4b91-890e-06a0d57dbdf3 · outbound

This paper cites Cao and L.

A Nash-Kuiper theorem for isometric immersions in a high codimension Cao and L

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.781339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ec1a613a-4d2a-40b4-9346-1ee3c55833b0 · outbound

This paper cites A Nash-Kuiper theorem for isometric immersions beyond Borisov's exponent.

A Nash-Kuiper theorem for isometric immersions in a high codimension A Nash-Kuiper theorem for isometric immersions beyond Borisov's exponent

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-06T15:34:06.427551Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e90cc3d9-d407-4af4-bada-d3f605a1f349 · outbound

This paper cites Cohn-Vossen, Unstarre geschlossene Fl¨ achen.

A Nash-Kuiper theorem for isometric immersions in a high codimension Cohn-Vossen, Unstarre geschlossene Fl¨ achen

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.763348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 43b58aaf-b9ee-428c-893f-04d5462c4d5a · outbound

This paper cites Conti, C.

A Nash-Kuiper theorem for isometric immersions in a high codimension Conti, C

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.750006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 913cfbcd-ee7b-495a-8849-e002981a1ecb · outbound

This paper cites Constantin, E.

A Nash-Kuiper theorem for isometric immersions in a high codimension Constantin, E

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.734061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation f9457461-7f82-4847-baca-2590a50822c8 · outbound

This paper cites Daneri and L.

A Nash-Kuiper theorem for isometric immersions in a high codimension Daneri and L

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.719359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c8cb34b2-3f8e-412e-bf69-be9a3801bfe2 · outbound

This paper cites De Lellis, D.

A Nash-Kuiper theorem for isometric immersions in a high codimension De Lellis, D

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.704803Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0f1052c4-d6d5-4b2f-b31f-b1d0d604922d · outbound

This paper cites De Lellis and D.

A Nash-Kuiper theorem for isometric immersions in a high codimension De Lellis and D

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.688621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0db1fa69-8710-4227-b8e0-f25ce52f3a54 · outbound

This paper cites De Lellis and L.

A Nash-Kuiper theorem for isometric immersions in a high codimension De Lellis and L

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.679987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ce865f75-1f6a-473d-853c-732d4d484332 · outbound

This paper cites De Lellis and L.

A Nash-Kuiper theorem for isometric immersions in a high codimension De Lellis and L

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.672562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7c658e0c-e0e3-4418-a058-0bf948196e6c · outbound

This paper cites De Lellis and Sz´ ekelyhidi, Dissipative Euler flows and Onsager’s conjecture.

A Nash-Kuiper theorem for isometric immersions in a high codimension De Lellis and Sz´ ekelyhidi, Dissipative Euler flows and Onsager’s conjecture

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.665011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation bb35f574-9978-4b08-a26e-ded76c37a5d9 · outbound

This paper cites Gromov and V.A.

A Nash-Kuiper theorem for isometric immersions in a high codimension Gromov and V.A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.657099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 1c627b3e-9521-46a5-8d11-993031ad453d · outbound

This paper cites Gromov, Convex integration of differential relations.

A Nash-Kuiper theorem for isometric immersions in a high codimension Gromov, Convex integration of differential relations

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.649160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation d1422413-aedb-4027-96eb-d924338d4de1 · outbound

This paper cites Gromov, Partial differential relations.

A Nash-Kuiper theorem for isometric immersions in a high codimension Gromov, Partial differential relations

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.641580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b3c21618-5dd8-4d48-b0fc-d8c9d998abc5 · outbound

This paper cites G¨ unther, On the perturbation problem associated to isometric embeddings of Riemannian manifolds.

A Nash-Kuiper theorem for isometric immersions in a high codimension G¨ unther, On the perturbation problem associated to isometric embeddings of Riemannian manifolds

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.634197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0b53a6a2-5fd5-4467-8d4b-465f9c725bbb · outbound

This paper cites G¨ unther, Isometric embeddings of Riemannian manifolds.

A Nash-Kuiper theorem for isometric immersions in a high codimension G¨ unther, Isometric embeddings of Riemannian manifolds

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.626259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7f88ab60-3785-4686-ba69-5ec7a664cce2 · outbound

This paper cites Herglotz.

A Nash-Kuiper theorem for isometric immersions in a high codimension Herglotz

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.618256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation e8addf36-9903-41a6-bec3-37274754fbc8 · outbound

This paper cites Isett, A proof of Onsager’s conjecture.

A Nash-Kuiper theorem for isometric immersions in a high codimension Isett, A proof of Onsager’s conjecture

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.610918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3916a38c-0bd6-43bb-8b26-799b0467667e · outbound

This paper cites Jacobowitz, Implicit function theorems and isometric embeddings.

A Nash-Kuiper theorem for isometric immersions in a high codimension Jacobowitz, Implicit function theorems and isometric embeddings

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.602446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6cadf0b3-ab97-4a9a-ae69-34deaeff93aa · outbound

This paper cites Janet, Sur la possibilit´ e de plonger un espace riemannien donn´ e dans un espace euclidien.

A Nash-Kuiper theorem for isometric immersions in a high codimension Janet, Sur la possibilit´ e de plonger un espace riemannien donn´ e dans un espace euclidien

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.594718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 06b0ddc3-dbdf-45dd-adcf-6bb7884276bc · outbound

This paper cites K¨ all´ en, Isometric embedding of a smooth compact manifold with a metric of low regularity.

A Nash-Kuiper theorem for isometric immersions in a high codimension K¨ all´ en, Isometric embedding of a smooth compact manifold with a metric of low regularity

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.587109Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 94eb564a-e2ea-454b-a57c-732406b4c3bd · outbound

This paper cites Kuiper, OnC 1-isometric imbeddings.

A Nash-Kuiper theorem for isometric immersions in a high codimension Kuiper, OnC 1-isometric imbeddings

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.578966Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7abd5326-3242-4d4c-b616-d77af33f937d · outbound

This paper cites Nash,C 1 isometric imbeddings.

A Nash-Kuiper theorem for isometric immersions in a high codimension Nash,C 1 isometric imbeddings

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.570809Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation b602995f-b9d4-44e7-8c16-7fdf59127e23 · outbound

This paper cites Nash, The imbedding problem for Riemannian manifolds.

A Nash-Kuiper theorem for isometric immersions in a high codimension Nash, The imbedding problem for Riemannian manifolds

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.562182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 51960a7f-9e01-42bc-817a-f99f8bf6538a · outbound

This paper cites Onsager, Statistical hydrodynamics, Nuovo Cimento (9), 6 (1949), Supplemento 2, 279–287.

A Nash-Kuiper theorem for isometric immersions in a high codimension Onsager, Statistical hydrodynamics, Nuovo Cimento (9), 6 (1949), Supplemento 2, 279–287

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.554110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 18e4faf9-2604-4bb5-989b-1705df5fb13e · outbound

This paper cites Sugli spazii di curvatura costante.

A Nash-Kuiper theorem for isometric immersions in a high codimension Sugli spazii di curvatura costante

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.546020Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 0be0ee46-adc4-4b11-93ff-2928342dc190 · outbound

This paper cites Whitney, Analytic extensions of differentiable functions defined in closed sets.

A Nash-Kuiper theorem for isometric immersions in a high codimension Whitney, Analytic extensions of differentiable functions defined in closed sets

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.537465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6e6fba64-4761-4926-a51c-b980688b1c04 · outbound

This paper cites Whitney, The self-intersections of a smoothn-manifold in 2n-space.

A Nash-Kuiper theorem for isometric immersions in a high codimension Whitney, The self-intersections of a smoothn-manifold in 2n-space

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:34:06.528845Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Pith citing papers

No inbound Pith citation observations are available.