Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T14:43:26.032619Z
Paper Citation Record · LEDGER
Connected sum of manifolds with spectral Ricci lower bounds
As of 11 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 2 inbound Pith citation observations for arXiv:2505.18320.
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 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-23T07:16:37.217949Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-23T07:17:42.590791Z
Reference resolution
18 of 18 outbound references displayed
- verified exact7
- verified fuzzy1
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ba8fd372-eefc-43a8-ae84-cfebda21d170 · outbound
This paper cites A sharp spectral splitting theorem.
Connected sum of manifolds with spectral Ricci lower bounds A sharp spectral splitting theorem
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:43:24.738002Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e3a068fb-53c5-45c0-b721-ce44a99701f2 · outbound
This paper cites New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry.
Connected sum of manifolds with spectral Ricci lower bounds New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:43:24.804189Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 33993549-f77b-4b43-8e7d-2c6f950874d8 · outbound
This paper cites A sphere theorem for three dimensional manifolds with integral pinched curvature.
Connected sum of manifolds with spectral Ricci lower bounds A sphere theorem for three dimensional manifolds with integral pinched curvature
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:43:24.884498Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 69b87d5f-fbe1-4ef9-9467-b7d5a1715e6e · outbound
This paper cites Limits of manifolds with a Kato bound on the Ricci curvature.
Connected sum of manifolds with spectral Ricci lower bounds Limits of manifolds with a Kato bound on the Ricci curvature
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-07T14:43:27.371455Z
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.
Observation c133fb30-5869-4427-ad22-bca7fcd18e42 · outbound
This paper cites Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces.
Connected sum of manifolds with spectral Ricci lower bounds Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:43:25.056880Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 13ddb599-eead-4396-8bdd-735dfc348035 · outbound
This paper cites Stable anisotropic minimal hypersurfaces in R4.
Connected sum of manifolds with spectral Ricci lower bounds Stable anisotropic minimal hypersurfaces in R4
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:43:25.101229Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f9bdc5ef-0e47-4f4d-8be8-5093ca2e5eb2 · outbound
This paper cites Stable minimal hypersurfaces in $\mathbf{R}^5$.
Connected sum of manifolds with spectral Ricci lower bounds Stable minimal hypersurfaces in $\mathbf{R}^5$
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:43:25.191649Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a9b234b3-327d-4b39-af7f-91147a3d15f2 · outbound
This paper cites The structure of complete stable minimal sur- faces in 3-manifolds of nonnegative scalar curvature.
Connected sum of manifolds with spectral Ricci lower bounds The structure of complete stable minimal sur- faces in 3-manifolds of nonnegative scalar curvature
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:43:25.278716Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0df47d46-723e-4aa7-9e4f-c8fbbe1abc82 · outbound
This paper cites Four Lectures on Scalar Curvature.
Connected sum of manifolds with spectral Ricci lower bounds Four Lectures on Scalar Curvature
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:43:25.354002Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5cd0c8ec-9ac8-41a7-ad7e-0bc3a334e963 · outbound
This paper cites Weighted Poincar´ e inequality and rigidity of complete mani- folds.
Connected sum of manifolds with spectral Ricci lower bounds Weighted Poincar´ e inequality and rigidity of complete mani- folds
Reference 10
- Resolution
- verified exact
- doi, observed 2026-08-07T14:43:27.149005Z
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.
Observation 9a08058f-e78b-4118-92a0-7f47fa3ac65c · outbound
This paper cites an unresolved cited work.
Connected sum of manifolds with spectral Ricci lower bounds Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T14:43:27.711961Z
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.
Observation 9d0feaeb-a9f0-4935-b70c-7599e577ad47 · outbound
This paper cites Stable minimal hypersurfaces in $\mathbb R^6$.
Connected sum of manifolds with spectral Ricci lower bounds Stable minimal hypersurfaces in $\mathbb R^6$
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T14:43:25.550369Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9e659890-77b6-4a1d-ac4c-c046b51b8616 · outbound
This paper cites Generalized surgery on Riemannian manifolds of positive Ricci cur- vature.
Connected sum of manifolds with spectral Ricci lower bounds Generalized surgery on Riemannian manifolds of positive Ricci cur- vature
Reference 13
- Resolution
- verified exact
- doi, observed 2026-08-07T14:43:26.968152Z
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.
Observation c0e6034d-72fd-4646-93b7-8165f7c3d983 · outbound
This paper cites On the structure of manifolds with positive scalar curva- ture.
Connected sum of manifolds with spectral Ricci lower bounds On the structure of manifolds with positive scalar curva- ture
Reference 14
- Resolution
- verified exact
- doi, observed 2026-08-07T14:43:26.783654Z
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.
Observation 0ef1c239-1167-4c26-b93e-bb69cea30feb · outbound
This paper cites Local behavior of solutions of quasi-linear equations.
Connected sum of manifolds with spectral Ricci lower bounds Local behavior of solutions of quasi-linear equations
Reference 15
- Resolution
- verified exact
- doi, observed 2026-08-07T14:43:26.600691Z
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.
Observation 26eb8b82-7863-4418-8737-39a0994c76e1 · outbound
This paper cites Isolated singularities of solutions of quasi-linear equations.
Connected sum of manifolds with spectral Ricci lower bounds Isolated singularities of solutions of quasi-linear equations
Reference 16
- Resolution
- verified exact
- doi, observed 2026-08-07T14:43:26.387818Z
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.
Observation 7690b506-c942-4a3d-96f7-719af2f99ae9 · outbound
This paper cites Positive Ricci curvature on the connected sums of Sn ×Sm.
Connected sum of manifolds with spectral Ricci lower bounds Positive Ricci curvature on the connected sums of Sn ×Sm
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T14:43:27.581024Z
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.
Observation b917249f-ce86-4da5-804c-0e85a229c49e · outbound
This paper cites Surgery on Ricci positive manifolds.
Connected sum of manifolds with spectral Ricci lower bounds Surgery on Ricci positive manifolds
Reference 18
- Resolution
- verified exact
- doi, observed 2026-08-07T14:43:26.217128Z
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.
Pith citing papers
Observation e68099bb-ed4a-49fd-936c-7d8d17fcc34a · inbound
Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces cites this paper.
Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces Connected sum of manifolds with spectral Ricci lower bounds
Reference 3
- Resolution
- verified exact
- arxiv_id, observed 2026-07-14T01:19:53.585575Z
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.
Observation 228886c1-82c3-46f4-9e54-35616917b9da · inbound
Gradient estimates for the Green kernel under spectral Ricci bounds, and the stable Bernstein theorem in $\mathbb{R}^4$ cites this paper.
Gradient estimates for the Green kernel under spectral Ricci bounds, and the stable Bernstein theorem in $\mathbb{R}^4$ Connected sum of manifolds with spectral Ricci lower bounds
Reference 6
- Resolution
- verified exact
- arxiv_id, observed 2026-07-14T01:19:53.585575Z
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.