Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links
Paper Citation Record · LEDGER
Four Lectures on Scalar Curvature
As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 16 inbound Pith citation observations for arXiv:1908.10612.
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 2026-08-11T14:03:05.546643Z
A source-named dated measurement, never combined with another source.
Source: pith, observed 2026-07-10T04:56:45.953865Z
Reference resolution
0 of 0 outbound references displayed
- verified exact0
- verified fuzzy0
- unresolved0
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
No outbound reference observations are available for this paper version.
Pith citing papers
Observation 9e3634db-f378-428a-91b4-bdcdcfffd627 · inbound
A sharp spectral splitting theorem cites this paper.
A sharp spectral splitting theorem Four Lectures on Scalar Curvature
Reference 2021
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T14:03:05.546643Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5f0d9e83-424c-42b9-8995-e51204523bbf · inbound
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor cites this paper.
Spectral comparison results for the $N$-Bakry-Emery Ricci tensor Four Lectures on Scalar Curvature
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T13:16:24.327528Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1c7ee870-f315-4e8f-9116-fa3a4ea9444e · inbound
Codimension 2 drawstrings with scalar curvature lower bounds cites this paper.
Codimension 2 drawstrings with scalar curvature lower bounds Four Lectures on Scalar Curvature
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-10T20:23:13.106395Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation bca4a008-9fe4-476b-92e7-6721adc77c20 · inbound
Abstract cone operators and Lipschitz rigidity for scalar curvature on singular manifolds cites this paper.
Abstract cone operators and Lipschitz rigidity for scalar curvature on singular manifolds Four Lectures on Scalar Curvature
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-08-07T15:42:54.619295Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0df47d46-723e-4aa7-9e4f-c8fbbe1abc82 · inbound
Connected sum of manifolds with spectral Ricci lower bounds cites this paper.
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 61077e4d-574f-4520-9854-8717abcc5c8b · inbound
On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities cites this paper.
On the rigidity of manifolds with respect to Gagliardo-Nirenberg inequalities Four Lectures on Scalar Curvature
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:30:11.377701Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a94c9358-46fd-4afb-8611-3db6da095965 · inbound
Scalar and Mean Curvature Comparison on Compact Cylinder cites this paper.
Scalar and Mean Curvature Comparison on Compact Cylinder Four Lectures on Scalar Curvature
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T19:03:59.704720Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c9bf3bcd-8acc-47fc-bb71-b2997c1a879b · inbound
On weak formulations of (super) Ricci flows cites this paper.
On weak formulations of (super) Ricci flows Four Lectures on Scalar Curvature
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T08:26:01.317835Z
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 bee92be7-f8ca-498b-8da4-8ef4baa29f1c · inbound
Quantification of $C^0$ Convergence in Dimension Three cites this paper.
Quantification of $C^0$ Convergence in Dimension Three Four Lectures on Scalar Curvature
Reference 13
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T11:50:19.975082Z
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 df69a44c-f709-469f-9f94-f2c01270231e · inbound
Lipschitz rigidity for scalar curvature on singular manifolds in odd dimensions cites this paper.
Lipschitz rigidity for scalar curvature on singular manifolds in odd dimensions Four Lectures on Scalar Curvature
Reference 15
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T15:11:05.465301Z
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 6a640624-c9b5-4927-914e-9b8ddfde8c31 · inbound
Scalar curvature under weak limits of manifolds cites this paper.
Scalar curvature under weak limits of manifolds Four Lectures on Scalar Curvature
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-05-12T10:46:31.100879Z
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 840088dd-6828-4d01-9212-d3948ad28d07 · inbound
Rigidity in the Positive Mass Theorem with $C^0$ Decay cites this paper.
Rigidity in the Positive Mass Theorem with $C^0$ Decay Four Lectures on Scalar Curvature
Reference 10
- Resolution
- verified exact
- arxiv_id, observed 2026-06-29T05:43:08.648452Z
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 1359b432-7405-4b0e-9a61-545bd8c029d7 · inbound
On $3$-manifolds with small mass and $L^2$-curvature cites this paper.
On $3$-manifolds with small mass and $L^2$-curvature Four Lectures on Scalar Curvature
Reference 27
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-07-02T20:17:22.086962Z
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 fb8df6af-007e-46f5-b003-ec3393f0476a · inbound
Gromov's Euclidean Endpoint $C^0$ Rigidity for the Positive Mass Theorem cites this paper.
Gromov's Euclidean Endpoint $C^0$ Rigidity for the Positive Mass Theorem Four Lectures on Scalar Curvature
Reference 11
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T17:18:44.264031Z
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 6fe0ff79-b43b-439b-853e-537f5aaac538 · inbound
A Positive Mass Theorem for Continuous Metrics cites this paper.
A Positive Mass Theorem for Continuous Metrics Four Lectures on Scalar Curvature
Reference 14
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T02:09:22.572119Z
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 96e623b5-215e-4f7a-91cf-dad3452ac9dd · inbound
The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ cites this paper.
The Rosenberg $ \mathbb{S}^{1} $-Stability Conjecture for $ \chi(X) = 0 $ Four Lectures on Scalar Curvature
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-07-10T04:56:45.955641Z
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.