Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T22:44:14.119646Z
Paper Citation Record · LEDGER
Gap phenomenon for scalar curvature
As of 12 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2501.01252.
A citation records a reference. It does not transfer a finding from one paper to another.
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One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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
29 of 29 outbound references displayed
- verified exact4
- verified fuzzy20
- unresolved5
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f131ffe8-5600-42e4-9cb1-eea83ac397a9 · outbound
This paper cites Scalar curvature rigidity of warped product metrics.
Gap phenomenon for scalar curvature Scalar curvature rigidity of warped product metrics
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.712888Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 3f659461-7e5f-4ce7-897c-b756195b3cac · outbound
This paper cites Bettiol and McFeely Jackson Goodman.
Gap phenomenon for scalar curvature Bettiol and McFeely Jackson Goodman
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.697713Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 2e440666-8460-4173-91f5-76c2a00b8870 · outbound
This paper cites Scalar curvature rigidity of convex poly topes.
Gap phenomenon for scalar curvature Scalar curvature rigidity of convex poly topes
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.682807Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9548f50c-7d77-4fc6-8cb9-11e6f0bbfb73 · outbound
This paper cites Rigid ity of spin fill-ins with non-negative scalar curvature.
Gap phenomenon for scalar curvature Rigid ity of spin fill-ins with non-negative scalar curvature
Reference 4
- Resolution
- verified exact
- raw_fallback, observed 2026-08-10T22:44:14.370822Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 84c95bb1-d1e9-461e-83f5-d5cf39f7f525 · outbound
This paper cites Enlargeable metrics on nonspin manifolds.
Gap phenomenon for scalar curvature Enlargeable metrics on nonspin manifolds
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.667453Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation a2e59599-6725-4c71-965c-6f669b8b4489 · outbound
This paper cites Scalar curvature rigidity of the four-dimensional sphere.
Gap phenomenon for scalar curvature Scalar curvature rigidity of the four-dimensional sphere
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:44:14.002810Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ec6df8cf-2063-4fa3-84f7-da2874c75a87 · outbound
This paper cites Scalar curvature rigidity of domains in a warped product.
Gap phenomenon for scalar curvature Scalar curvature rigidity of domains in a warped product
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T22:44:14.249365Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 207e6a60-2b61-4a42-b215-85d560a39684 · outbound
This paper cites Exten sion of a theorem of Shi and Tam.
Gap phenomenon for scalar curvature Exten sion of a theorem of Shi and Tam
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.651631Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7c8ed874-837c-41ff-85dd-7deb923ffbc8 · outbound
This paper cites Goette and U.
Gap phenomenon for scalar curvature Goette and U
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.635071Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 33dbc43e-5eff-4b5d-bd79-44db5d0a5ab3 · outbound
This paper cites an unresolved cited work.
Gap phenomenon for scalar curvature Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:44:14.620137Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 0168477e-6c19-4d0e-8d8d-385457f4abca · outbound
This paper cites Blaine Lawson, Jr.
Gap phenomenon for scalar curvature Blaine Lawson, Jr
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.604703Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation cbeb0766-958d-4b67-a624-defb83c6bebd · outbound
This paper cites A dozen problems, questions and conjectu res about positive scalar curva- ture.
Gap phenomenon for scalar curvature A dozen problems, questions and conjectu res about positive scalar curva- ture
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.589511Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation b751160a-fdd9-4e51-86c8-50cba33a48e5 · outbound
This paper cites Four lectures on scalar curvature.
Gap phenomenon for scalar curvature Four lectures on scalar curvature
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.575024Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 33ab8a63-450e-4f32-a931-f9d683917556 · outbound
This paper cites Llarull type the orems on complete manifolds with positive scalar curvature.
Gap phenomenon for scalar curvature Llarull type the orems on complete manifolds with positive scalar curvature
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.560252Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 40f9381b-95e4-42ef-a78c-86d876625489 · outbound
This paper cites Rigidity of 3D spher ical caps via µ-bubbles.
Gap phenomenon for scalar curvature Rigidity of 3D spher ical caps via µ-bubbles
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.545338Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 56623fa5-dfcf-4595-85a2-4a60243d19d6 · outbound
This paper cites an unresolved cited work.
Gap phenomenon for scalar curvature Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-10T22:44:14.530575Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 9d5b7f49-51eb-46a5-abd8-58e7a8b6ab90 · outbound
This paper cites The dihedral rigidity conjecture for n-prisms.
Gap phenomenon for scalar curvature The dihedral rigidity conjecture for n-prisms
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.515238Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 42565b8b-63c7-4ab7-91a7-4effd77bd770 · outbound
This paper cites Sharp estimates and the Dirac operato r.
Gap phenomenon for scalar curvature Sharp estimates and the Dirac operato r
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.499906Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6e3ff4d0-7c4b-49df-9eee-415e22d0fcb6 · outbound
This paper cites Index theory for scalar curvature on manifol ds with boundary.
Gap phenomenon for scalar curvature Index theory for scalar curvature on manifol ds with boundary
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.484262Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 6d8ad964-a815-4085-b5bf-d275d9e58637 · outbound
This paper cites Scalar and mean curvature comparison via µ-bubbles.
Gap phenomenon for scalar curvature Scalar and mean curvature comparison via µ-bubbles
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.468954Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation d84ff9a4-ed30-416c-ad2b-59e5335f0669 · outbound
This paper cites Positive mass theorem and the boundary behaviors of com- pact manifolds with nonnegative scalar curvature.
Gap phenomenon for scalar curvature Positive mass theorem and the boundary behaviors of com- pact manifolds with nonnegative scalar curvature
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.452763Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 82a0bc58-6750-4dc7-a230-8abce1c0017f · outbound
This paper cites Total mean c urvature of the boundary and nonnegative scalar curvature fill-ins.
Gap phenomenon for scalar curvature Total mean c urvature of the boundary and nonnegative scalar curvature fill-ins
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.435708Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation feb83271-e859-4ee8-a225-17d8d0b20561 · outbound
This paper cites On the fill-in of nonnegative scalar curvature metrics.
Gap phenomenon for scalar curvature On the fill-in of nonnegative scalar curvature metrics
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.420103Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation e04bbc0b-b4fc-4605-8e56-1d206de73931 · outbound
This paper cites Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces.
Gap phenomenon for scalar curvature Scalar curvature rigidity of parabolically convex domains in hyperbolic spaces
Reference 24
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T22:44:14.224842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 4364be58-96b8-4c6e-8239-48aafc7ce531 · outbound
This paper cites Scalar curvature rigidity of degenerate warped product spaces.
Gap phenomenon for scalar curvature Scalar curvature rigidity of degenerate warped product spaces
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:44:14.098544Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 90fa41aa-e676-4983-a613-d074ad306dbf · outbound
This paper cites On Gromov's dihedral extremality and rigidity conjectures.
Gap phenomenon for scalar curvature On Gromov's dihedral extremality and rigidity conjectures
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T22:44:14.103506Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e7aa2607-9e7d-42ca-96ea-e102cfea3833 · outbound
This paper cites A proof of Gromov's cube inequality on scalar curvature.
Gap phenomenon for scalar curvature A proof of Gromov's cube inequality on scalar curvature
Reference 27
- Resolution
- verified exact
- local_arxiv, observed 2026-08-10T22:44:14.167591Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 7c4cc7e9-5222-400a-88a2-8c514cb7a28c · outbound
This paper cites Nonnegative scalar curvature and area d ecreasing maps.
Gap phenomenon for scalar curvature Nonnegative scalar curvature and area d ecreasing maps
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.403656Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Observation 21048a22-f4a3-4251-b4bf-41cd4718be95 · outbound
This paper cites Rigidity of area-minimizing 2-spheres in n-manifolds with positive scalar curva- ture.
Gap phenomenon for scalar curvature Rigidity of area-minimizing 2-spheres in n-manifolds with positive scalar curva- ture
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-10T22:44:14.387278Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
No inbound Pith citation observations are available.