Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-05T23:42:01.392778Z
Paper Citation Record · LEDGER
Isometric Immersions and Weak Solutions to the Darboux Equation
As of 23 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 1 inbound Pith citation observation for arXiv:2508.05230.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-07-03T09:21:03.462723Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T09:37:49.215841Z
Reference resolution
32 of 32 outbound references displayed
- verified exact2
- verified fuzzy26
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation b5601bf1-0cee-4493-b3df-cfc22d98d206 · outbound
This paper cites Riemann’s mapping theorem for variable metrics.
Isometric Immersions and Weak Solutions to the Darboux Equation Riemann’s mapping theorem for variable metrics
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.734131Z
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.
Observation db951513-b01a-4a6d-80d3-930cff996cb2 · outbound
This paper cites Elliptic Partial Differential Equations and Quasicon- formal Mappings in the Plane (PMS-48).
Isometric Immersions and Weak Solutions to the Darboux Equation Elliptic Partial Differential Equations and Quasicon- formal Mappings in the Plane (PMS-48)
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.724092Z
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.
Observation aa4eb35e-5610-48b8-84a0-23555fc85234 · outbound
This paper cites an unresolved cited work.
Isometric Immersions and Weak Solutions to the Darboux Equation Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:42:01.714263Z
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.
Observation 9cb3818f-f9c5-46c9-95f9-639df3a8eae9 · outbound
This paper cites an unresolved cited work.
Isometric Immersions and Weak Solutions to the Darboux Equation Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:42:01.703922Z
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.
Observation 0c89ddb5-18e2-4d29-b923-9b77c217405a · outbound
This paper cites C 1,1/3− very weak solutions to the two dimensional Monge-Amp` ere equation.Calc.
Isometric Immersions and Weak Solutions to the Darboux Equation C 1,1/3− very weak solutions to the two dimensional Monge-Amp` ere equation.Calc
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.694773Z
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.
Observation 9a213fd9-e8c0-4ba3-b7c4-a13a594e2966 · outbound
This paper cites Rigidity and flexibility of isometric extensions.
Isometric Immersions and Weak Solutions to the Darboux Equation Rigidity and flexibility of isometric extensions
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.685033Z
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.
Observation 01559e94-075e-4cd1-bc91-c70aa0508db0 · outbound
This paper cites Very weak solutions to the two-dimensional Monge-Amp´ ere equation.
Isometric Immersions and Weak Solutions to the Darboux Equation Very weak solutions to the two-dimensional Monge-Amp´ ere equation
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.674961Z
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.
Observation c7480a09-ff6f-48c8-9bbd-635613f8d6a8 · outbound
This paper cites Global Nash-Kuiper theorem for compact manifolds.J.
Isometric Immersions and Weak Solutions to the Darboux Equation Global Nash-Kuiper theorem for compact manifolds.J
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.665431Z
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.
Observation 8cbaab64-34f7-4e31-bf04-b417f7962847 · outbound
This paper cites Zwei satze uber die starrheit der ei achen.
Isometric Immersions and Weak Solutions to the Darboux Equation Zwei satze uber die starrheit der ei achen
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.655811Z
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.
Observation 3905573e-686e-4580-9903-85027462e373 · outbound
This paper cites In Nonlinear partial differential equations , volume 7 of Abel Symp., pages 83–116.
Isometric Immersions and Weak Solutions to the Darboux Equation In Nonlinear partial differential equations , volume 7 of Abel Symp., pages 83–116
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.646395Z
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.
Observation ffe38fbc-d70c-43ad-887b-8c4e12a1947f · outbound
This paper cites Le¸ cons sur la th´ eorie g´ en´ erale des surfaces.
Isometric Immersions and Weak Solutions to the Darboux Equation Le¸ cons sur la th´ eorie g´ en´ erale des surfaces
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.637573Z
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.
Observation 3c0ef1c0-0228-4f96-85f3-af1b3e2b99e3 · outbound
This paper cites C 1,α isometric embeddings of polar caps.
Isometric Immersions and Weak Solutions to the Darboux Equation C 1,α isometric embeddings of polar caps
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.628496Z
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.
Observation 7b97e642-e921-42e9-bea1-d0671dbc1c92 · outbound
This paper cites A Nash-Kuiper theorem for C 1,1/5−δ immersions of surfaces in 3 dimensions.
Isometric Immersions and Weak Solutions to the Darboux Equation A Nash-Kuiper theorem for C 1,1/5−δ immersions of surfaces in 3 dimensions
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.619444Z
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.
Observation fc7b0e11-273a-490f-be14-301f73245b39 · outbound
This paper cites The geometry of c1,α flat isometric immersions.
Isometric Immersions and Weak Solutions to the Darboux Equation The geometry of c1,α flat isometric immersions
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.610205Z
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.
Observation b2b39b05-9658-49fe-8ceb-77018e2852df · outbound
This paper cites The geometry of c1,α flat isometric immersions.
Isometric Immersions and Weak Solutions to the Darboux Equation The geometry of c1,α flat isometric immersions
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.600914Z
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.
Observation b226cdd2-3b49-4695-9227-9fe47857547c · outbound
This paper cites an unresolved cited work.
Isometric Immersions and Weak Solutions to the Darboux Equation Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:42:01.591822Z
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.
Observation 8561a23d-fb77-446a-9852-59ed36d9ec52 · outbound
This paper cites Isometric embedding of Riemannian manifolds in Euclidean spaces , volume 130 of Mathematical Surveys and Monographs.
Isometric Immersions and Weak Solutions to the Darboux Equation Isometric embedding of Riemannian manifolds in Euclidean spaces , volume 130 of Mathematical Surveys and Monographs
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.582753Z
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.
Observation 0c206d20-c0d8-43b3-a0d5-047af95565e7 · outbound
This paper cites Herglotz.
Isometric Immersions and Weak Solutions to the Darboux Equation Herglotz
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.572771Z
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.
Observation b2091f98-0cbe-4bdd-a827-3ed635de3232 · outbound
This paper cites Ueber Fl¨ achen von constanter Gaussscher Kr¨ ummung.Trans.
Isometric Immersions and Weak Solutions to the Darboux Equation Ueber Fl¨ achen von constanter Gaussscher Kr¨ ummung.Trans
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.563061Z
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.
Observation d5c53272-a541-470c-beda-cc90e7eaa920 · outbound
This paper cites Darboux equations and isometric embedding of Riemannian manifolds with nonnegative curvature in R3.
Isometric Immersions and Weak Solutions to the Darboux Equation Darboux equations and isometric embedding of Riemannian manifolds with nonnegative curvature in R3
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.553508Z
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.
Observation fa683a4c-0048-47e3-bcea-13b3c91c0037 · outbound
This paper cites A Nash-Kuiper theorem for isometric immersions beyond Borisov's exponent.
Isometric Immersions and Weak Solutions to the Darboux Equation A Nash-Kuiper theorem for isometric immersions beyond Borisov's exponent
Reference 22
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T23:42:01.443036Z
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.
Observation bef98397-1bb2-4608-88a9-f4511e10e321 · outbound
This paper cites The Monge-Ampere system in dimension two and codimension three.
Isometric Immersions and Weak Solutions to the Darboux Equation The Monge-Ampere system in dimension two and codimension three
Reference 23
- Resolution
- verified exact
- local_arxiv, observed 2026-08-05T23:42:01.428307Z
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.
Observation 84200cec-9a69-424c-80bf-e577378ef1c0 · outbound
This paper cites On the concept of the weak Jacobian and Hessian.
Isometric Immersions and Weak Solutions to the Darboux Equation On the concept of the weak Jacobian and Hessian
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.544010Z
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.
Observation 877fa563-91db-4eb2-a4b4-4f29ff8ab8cd · outbound
This paper cites an unresolved cited work.
Isometric Immersions and Weak Solutions to the Darboux Equation Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-05T23:42:01.534522Z
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.
Observation 7485c6b7-01c6-45b5-970e-c7793461b33c · outbound
This paper cites On C 1-isometric imbeddings.
Isometric Immersions and Weak Solutions to the Darboux Equation On C 1-isometric imbeddings
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.525069Z
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.
Observation 85ef2e8b-a7f0-4f0e-9e29-777e4e7d9652 · outbound
This paper cites The Monge-Amp` ere system in dimension two: a regularity improvement.J.
Isometric Immersions and Weak Solutions to the Darboux Equation The Monge-Amp` ere system in dimension two: a regularity improvement.J
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.515728Z
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.
Observation 6135537a-e600-4999-8439-59c68a6d721d · outbound
This paper cites The Monge-Amp` ere system: convex integration in arbitrary dimension and codimension.
Isometric Immersions and Weak Solutions to the Darboux Equation The Monge-Amp` ere system: convex integration in arbitrary dimension and codimension
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.505027Z
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.
Observation 854e2d61-f05e-49ed-90be-74bae7c41a12 · outbound
This paper cites Convex integration for the Monge-Amp` ere equation in two dimensions.
Isometric Immersions and Weak Solutions to the Darboux Equation Convex integration for the Monge-Amp` ere equation in two dimensions
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.493670Z
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.
Observation 2b74bc31-d917-47af-9941-8996fbe907da · outbound
This paper cites Traces of weighted Sobolev spaces.
Isometric Immersions and Weak Solutions to the Darboux Equation Traces of weighted Sobolev spaces
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.483192Z
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.
Observation 9b1a49d5-f4bb-4e18-925c-f949b85111c1 · outbound
This paper cites C 1 isometric imbeddings.
Isometric Immersions and Weak Solutions to the Darboux Equation C 1 isometric imbeddings
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.472418Z
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.
Observation 0263f5e1-f34c-4dfb-ba2b-16361863a5e3 · outbound
This paper cites Convexity of weakly regular surfaces of distributional nonnegative intrinsic curvature.
Isometric Immersions and Weak Solutions to the Darboux Equation Convexity of weakly regular surfaces of distributional nonnegative intrinsic curvature
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.462430Z
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.
Observation b383abea-e7dd-4f5d-980b-1ddd2ca34c70 · outbound
This paper cites Theory of function spaces.
Isometric Immersions and Weak Solutions to the Darboux Equation Theory of function spaces
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-05T23:42:01.452860Z
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.
Pith citing papers
Observation 960c2134-3adb-4e62-81ae-1d6742a1ddb8 · inbound
Cartan's and Gauss's equations and rigidity theorems for isometric embeddings in low Sobolev regularity cites this paper.
Cartan's and Gauss's equations and rigidity theorems for isometric embeddings in low Sobolev regularity Isometric Immersions and Weak Solutions to the Darboux Equation
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T09:37:49.218190Z
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.