Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:09:42.628999Z
Paper Citation Record · LEDGER
Hilbert manifold structures on path spaces
As of 10 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 0 inbound Pith citation observations for arXiv:2507.03782.
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 2026-08-10T06:31:04.303077+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
16 of 16 outbound references displayed
- verified exact3
- verified fuzzy9
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ceb25aa9-c373-4826-81ec-d1efffdc5d92 · outbound
This paper cites Analysis.
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:09:45.318975Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e6a585ad-cc0d-464c-b81b-0c159b3048ab · outbound
This paper cites El asson.
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:09:45.199934Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation e05a6942-6d83-48b2-8231-05e4c0b08ec0 · outbound
This paper cites The unregularized gradient flow of the symplectic action.
Hilbert manifold structures on path spaces The unregularized gradient flow of the symplectic action
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:09:45.038736Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 51d79185-d0da-4a3e-8efc-cb18e08e89ad · outbound
This paper cites Local gluing.
Hilbert manifold structures on path spaces Local gluing
Reference 4
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T20:09:43.524398Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation d7a767fe-cb8c-4848-b806-3aaae3505947 · outbound
This paper cites The shift map on Floer trajectory spaces.
Hilbert manifold structures on path spaces The shift map on Floer trajectory spaces
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T20:09:41.931181Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 49003837-67db-4191-b0af-0202b020dd7f · outbound
This paper cites Growth of eigenvalues of Floer Hessians.
Hilbert manifold structures on path spaces Growth of eigenvalues of Floer Hessians
Reference 6
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T20:09:43.237557Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c03e36fa-ddf4-43bd-a333-929e2ecfb451 · outbound
This paper cites Floeromorphisms and Floer functions.
Hilbert manifold structures on path spaces Floeromorphisms and Floer functions
Reference 7
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T20:09:42.930514Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 4e88e2da-896f-4d22-b3cc-904bd7ec9f59 · outbound
This paper cites Fundamentals of differential geometry.
Hilbert manifold structures on path spaces Fundamentals of differential geometry
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:09:44.868980Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 8fd4478b-95dd-42ae-9893-fd36f716296b · outbound
This paper cites Lieb and Michael Loss.
Hilbert manifold structures on path spaces Lieb and Michael Loss
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:09:44.726675Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation f8ddd083-3c32-4dbe-9538-fe5d34949345 · outbound
This paper cites J -holomorphic curves and symplectic topology , volume 52 of American Mathematical Society Colloquium Publications.
Hilbert manifold structures on path spaces J -holomorphic curves and symplectic topology , volume 52 of American Mathematical Society Colloquium Publications
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:09:44.576800Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 9439dffe-48b7-4fac-9656-81ab3047da77 · outbound
This paper cites u ller. Spectral Theory of Linear Operators -- and Spectral Systems in Banach Algebras , volume 139 of Operator Theory: Advances and Applications . Birkh\.
Hilbert manifold structures on path spaces u ller. Spectral Theory of Linear Operators -- and Spectral Systems in Banach Algebras , volume 139 of Operator Theory: Advances and Applications . Birkh\
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:09:44.436805Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 61df5589-9365-4574-821e-a044cbbb8919 · outbound
This paper cites Stochastic evolution equations.
Hilbert manifold structures on path spaces Stochastic evolution equations
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:09:44.220005Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 4414287f-60d1-4baf-af97-99a436326ee3 · outbound
This paper cites an unresolved cited work.
Hilbert manifold structures on path spaces Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:09:44.077513Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation c1d531ea-5a3a-4c9f-9ba8-c2b084d91237 · outbound
This paper cites an unresolved cited work.
Hilbert manifold structures on path spaces Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:09:43.964702Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 1c5b16e6-51b4-4ce7-b768-a5cf34e18f3a · outbound
This paper cites an unresolved cited work.
Hilbert manifold structures on path spaces Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:09:43.801146Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Observation 1a536638-8778-4617-b2b1-6fb2d9468413 · outbound
This paper cites Morse homology , volume 111 of Progress in Mathematics.
Hilbert manifold structures on path spaces Morse homology , volume 111 of Progress in Mathematics
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T20:09:43.668518Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.
Pith citing papers
No inbound Pith citation observations are available.