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Source: paper_references, paper_reference_links, observed 2026-08-10T22:51:45.619453Z
Paper Citation Record · LEDGER
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems
As of 10 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 3 inbound Pith citation observations for arXiv:2501.00702.
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Source: paper_references, paper_reference_links, observed 2026-08-09T21:36:03.266603Z
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Source: arxiv_reference, observed 2026-05-12T10:51:30.590080Z
Reference resolution
45 of 45 outbound references displayed
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External citation measurements
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Outbound references
Observation 860e5fbf-275f-4753-904f-a5a89421a5c8 · outbound
This paper cites Regularity of variational maximal surfaces Acta Math., 161(3-4):145–181, 1988.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Regularity of variational maximal surfaces Acta Math., 161(3-4):145–181, 1988
Reference 1
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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 6339e0c2-a8ad-4623-a5ce-8b552c7d1b80 · outbound
This paper cites Beem, Paul E.
Reference 2
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Observation d88ad5a8-4083-4f26-8b97-48fbb635d6a2 · outbound
This paper cites Beem, Paul E.
Reference 3
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Observation 4f223aa3-f8a1-446f-b39d-c408ea5e220f · outbound
This paper cites A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems A nonlinear d'Alembert comparison theorem and causal differential calculus on metric measure spacetimes
Reference 4
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 54123825-5a2f-4b40-8913-e2c50da932fb · outbound
This paper cites an unresolved cited work.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Unresolved cited work
Reference 5
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Observation b8fb18d4-a35a-4312-92e9-aac10b25a64d · outbound
This paper cites an unresolved cited work.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Unresolved cited work
Reference 6
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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 b1dfc1db-dcb7-4366-8fcb-4a5fa429505c · outbound
This paper cites McCann, Argam Ohanyan, an d Clemens S¨ amann.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems McCann, Argam Ohanyan, an d Clemens S¨ amann
Reference 7
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 398f1353-300f-4403-b6f0-01b331414ecb · outbound
This paper cites Kreise mit unendlichem Radius.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Kreise mit unendlichem Radius
Reference 8
- Resolution
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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 7b87b05f-c344-4e20-b74c-2f971c8cce5e · outbound
This paper cites an unresolved cited work.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Unresolved cited work
Reference 9
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Source-reported events for the cited work
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Observation 7b1db9b5-79e3-4ee7-81fd-a10f7f2ccf7c · outbound
This paper cites Spacetime and geometry: An introduction to general rela- tivity.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Spacetime and geometry: An introduction to general rela- tivity
Reference 10
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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 b6941541-127f-4f70-82cc-f0c557863e90 · outbound
This paper cites Optimal transport in Lore ntzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Optimal transport in Lore ntzian synthetic spaces, synthetic timelike Ricci curvature lower bounds and applications
Reference 11
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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 d7e63fa4-be40-4223-816b-032f007bd511 · outbound
This paper cites The splitting theorem for manifo lds of nonnegative Ricci curvature.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems The splitting theorem for manifo lds of nonnegative Ricci curvature
Reference 12
- Resolution
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Source-reported events for the cited work
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Observation 885a7432-8828-413e-8f94-716cacedc465 · outbound
This paper cites Global aspects of the Cauchy problem in general relativity.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Global aspects of the Cauchy problem in general relativity
Reference 13
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Observation fb020b2b-716b-45be-b5b2-853a81595f9c · outbound
This paper cites Cohn-Vossen.
Reference 14
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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 5bda75a2-092f-4eff-a904-12e25c0bb6d7 · outbound
This paper cites Crandall, Hitoshi Ishii, and Pierre-Louis Lions.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Crandall, Hitoshi Ishii, and Pierre-Louis Lions
Reference 15
- Resolution
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Observation b0621d95-b8bc-4eb7-8afd-866936593bcd · outbound
This paper cites Eschenburg.
Reference 16
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Source-reported events for the cited work
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Observation 071cf4d7-da47-4595-963d-0989e3b9d192 · outbound
This paper cites Four` es-Bruhat.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Four` es-Bruhat
Reference 17
- Resolution
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Source-reported events for the cited work
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Observation cc430004-63c1-46f3-abf3-bf79f43763bf · outbound
This paper cites Galloway.
Reference 18
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Observation ff8278b1-4370-4368-b0c3-f6148d3dbeba · outbound
This paper cites Galloway.
Reference 19
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Observation 75bd1420-9f01-4301-bd69-c150cdf8fbed · outbound
This paper cites Galloway and Arnaldo Horta.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Galloway and Arnaldo Horta
Reference 20
- Resolution
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Observation 77c62daa-393e-497e-9933-3a544df781e1 · outbound
This paper cites The splitting theorem in non-smooth context.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems The splitting theorem in non-smooth context
Reference 21
- Resolution
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Source-reported events for the cited work
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Observation 1e02dfc3-af6c-4a92-bd9d-1b0e98781772 · outbound
This paper cites On the differential structure of metric measure spac es and applications.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems On the differential structure of metric measure spac es and applications
Reference 22
- Resolution
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Observation 96262173-62d4-434a-8e4b-8e6825212f59 · outbound
This paper cites Singularity theorems for C 1-Lorentzian metrics.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Singularity theorems for C 1-Lorentzian metrics
Reference 23
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Observation 8e3601ec-6aa2-4a26-96df-523cefb633c5 · outbound
This paper cites an unresolved cited work.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Unresolved cited work
Reference 24
- Resolution
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Observation 23b43e9c-89db-498a-bb95-fedf434d29eb · outbound
This paper cites an unresolved cited work.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Unresolved cited work
Reference 25
- Resolution
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Observation 997ba784-c420-496e-8dfa-483338d5fa7d · outbound
This paper cites an unresolved cited work.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Unresolved cited work
Reference 26
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Observation 81dffd4a-8396-4fc1-8e9e-6c827b06d57e · outbound
This paper cites Characterization of the null energy cond ition via displacement convexity of entropy.J.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Characterization of the null energy cond ition via displacement convexity of entropy.J
Reference 27
- Resolution
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Observation 199f6b9b-ba2c-4c89-aa39-d05a2ad4ef56 · outbound
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Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Lorentzian length spa ces
Reference 28
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Observation c859bf70-236e-4713-9eea-4e02841d75e9 · outbound
This paper cites Ricci curvature for metric-measu re spaces via optimal transport.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Ricci curvature for metric-measu re spaces via optimal transport
Reference 29
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Observation 359b6c6e-34dd-4f62-857d-5ea0eff4161d · outbound
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Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Unresolved cited work
Reference 30
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Observation 0934e112-5cd0-42e3-84c0-e203a04803d2 · outbound
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Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Unresolved cited work
Reference 31
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Observation c47fa8f1-dff2-4669-b760-8a2b6e1b52f9 · outbound
This paper cites an unresolved cited work.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Unresolved cited work
Reference 32
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Observation 01cceacf-42aa-49cf-8469-71f7b996137f · outbound
This paper cites An optimal transport formu lation of the Einstein equations of general relativity.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems An optimal transport formu lation of the Einstein equations of general relativity
Reference 33
- Resolution
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Observation 0bf8eeae-f4e1-4242-9f96-f9a9e8f57147 · outbound
This paper cites an unresolved cited work.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Unresolved cited work
Reference 34
- Resolution
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Source-reported events for the cited work
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Observation 4a970c2f-dbe0-476a-bc9d-91ef1950f3f8 · outbound
This paper cites The existence of complete Riem an- nian metrics.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems The existence of complete Riem an- nian metrics
Reference 35
- Resolution
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Observation afa0475c-6c9a-48a1-a053-39dfc614fb6e · outbound
This paper cites On the curvature and heat flow on Hamiltonian sy stems.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems On the curvature and heat flow on Hamiltonian sy stems
Reference 36
- Resolution
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Source-reported events for the cited work
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Observation 6b496012-9f6f-4422-a8fc-c74e20ec8b86 · outbound
This paper cites Gravitational collapse and space-time singular ities.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Gravitational collapse and space-time singular ities
Reference 37
- Resolution
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Observation a99d6c2b-fc65-4cf3-b81a-383945827b44 · outbound
This paper cites Le Petit Prince.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Le Petit Prince
Reference 38
- Resolution
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Source-reported events for the cited work
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Observation 6109fd4c-0383-4979-a7e0-bc88b61dfdf0 · outbound
This paper cites Schwarzschild.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Schwarzschild
Reference 39
- Resolution
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Source-reported events for the cited work
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Observation 933891ad-554a-4db1-a9d1-97713046af02 · outbound
This paper cites On the geometry of metric measure spac es.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems On the geometry of metric measure spac es
Reference 40
- Resolution
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Source-reported events for the cited work
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Observation 05ba6dad-b6e5-4d29-8113-413e073ff9b4 · outbound
This paper cites an unresolved cited work.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Unresolved cited work
Reference 41
- Resolution
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Observation 6dfcc686-e719-45a9-955c-e6f017eee2b6 · outbound
This paper cites an unresolved cited work.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Unresolved cited work
Reference 42
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Source-reported events for the cited work
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Observation c872152e-d2aa-4b2e-a502-0d3fd64a2f4d · outbound
This paper cites Geons, black holes, and quantum foam.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Geons, black holes, and quantum foam
Reference 43
- Resolution
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Source-reported events for the cited work
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Observation fbda19f3-9dfc-4ce7-8e3e-7587bb81871c · outbound
This paper cites Problem section.
Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems Problem section
Reference 44
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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 28d8dfd3-b555-4f08-aca5-c13a813a9220 · outbound
This paper cites K¨ onigl.
Reference 2003
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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
Observation 01a885d5-c4d6-4a1b-ab54-04e83fb39747 · inbound
New perspectives on the d'Alembertian from general relativity. An invitation cites this paper.
New perspectives on the d'Alembertian from general relativity. An invitation Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems
Reference 132
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Source-reported events for the cited work
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Observation 55ff5e64-f598-46b4-8d95-36eb2360f516 · inbound
Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry cites this paper.
Gromov's reconstruction theorem and measured Gromov-Hausdorff convergence in Lorentzian geometry Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems
Reference 40
- Resolution
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Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 28cb543b-f1e3-430d-957a-0d7f658f4b92 · inbound
Stability of Synthetic Timelike Ricci Bounds under $C^0$-Limits and Applications to Impulsive Gravitational Waves cites this paper.
Stability of Synthetic Timelike Ricci Bounds under $C^0$-Limits and Applications to Impulsive Gravitational Waves Trading linearity for ellipticity: a nonsmooth approach to Einstein's theory of gravity and the Lorentzian splitting theorems
Reference 47
- Resolution
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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.