Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T10:21:24.289615Z
Paper Citation Record · LEDGER
As of 11 August 2026, this Paper Citation Record lists 52 of 52 outbound references and 0 inbound Pith citation observations for arXiv:2508.00231.
A citation records a reference. It does not transfer a finding from one paper to another.
Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T10:21:24.289615Z
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
A source-named dated measurement, never combined with another source.
Source: cited_works
52 of 52 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 9ce039e5-557e-4851-ba22-dd0e82aef158 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux C., and Balasin, H
Reference 1
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 6eed0367-f487-4cdf-b57c-3a4f41b7ece9 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux C., and Sexl, R
Reference 2
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 90937db5-47f4-4e05-9335-8553d9a13c9f · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work
Reference 3
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 2d465f00-1766-413d-9d27-8dc4a22d928d · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux T hin shells in general relativity and cosmology: the lightlike limit
Reference 4
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 4e2bf283-ed13-4f15-b2f9-4c9fe6e08532 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux B., and Vickers, P
Reference 5
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 45b30190-b815-4955-99b1-9acc77ce608a · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux T., and Grant, J
Reference 6
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 48bc3032-dd2b-4bd9-910b-d6708ce6e4bb · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work
Reference 7
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 bc410e4b-8154-40a3-bdc9-342f960af612 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux L es \'e quations de la gravitation einsteinienne
Reference 8
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 f6ef35f3-af51-4730-9952-4a5684018838 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Geometry of lightlike submanifolds in L orentzian space forms
Reference 9
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 0475e252-080b-45f6-8efe-d1428b6cb885 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work
Reference 10
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 383d7d70-9efd-4578-b4e6-7e7efc32bfe6 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux S trings and other distributional sources in G eneral R elativity
Reference 11
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 55125fb6-bd42-4286-9bc7-51ef5d43c689 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work
Reference 12
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 c0c14000-692a-4b16-b3b0-77d8cb3265eb · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work
Reference 13
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 dc7eec37-2aca-4c60-afcd-0f765b1bc19a · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux B., and Podolsk \`y , J
Reference 14
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 97828609-2714-472f-9528-d96163a50220 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Geometric theory of generalized functions with applications to general relativity , vol
Reference 15
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 2b927207-328e-4bc9-8ebc-993395cce7a1 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux S ingular hypersurfaces and thin shells in G eneral R elativity
Reference 16
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 539c6638-ac15-49ad-a952-71941b73b5af · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux The Art of Gluing Space-Time Manifolds: Methods and Applications
Reference 17
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 7689ce5c-2c3d-48d3-aeb3-ffb7734268de · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux K., and Lucietti, J
Reference 18
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 1922c479-8e78-4659-814c-ab4d9ed1d6dd · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux A note on the P enrose junction conditions
Reference 19
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 33f1c22c-7cff-4a3b-948a-2059fa90b30a · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux B emerkung zur de S itterschen W elt
Reference 20
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 b06374d0-366e-4b2f-ab23-fe4a41bb6aa1 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux F l \"a chenhafte V erteilung der M aterie in der E insteinschen G ravitationstheorie
Reference 21
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 087669bf-9b17-45e5-bf1e-f22fb2ea2d15 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work
Reference 22
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 6eeffdfd-dc8b-422b-888f-c9ea049f39e1 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux G., and Mardare, C
Reference 23
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 591ddcfc-5b85-49b3-b99f-3ad8e2bef909 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Null shells: general matching across null boundaries and connection with cut-and-paste formalism
Reference 24
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 d1454476-8dfb-4d69-9fcb-6eb7890203b5 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux G eneral matching across K illing horizons of zero order
Reference 25
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 bcb44c2a-23bd-45a3-ba60-eae0695f39d7 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Abstract formulation of the spacetime matching problem and null thin shells
Reference 26
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 8880b2cd-a0b5-4e43-80b5-8225a7d641ac · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux N ull hypersurface data and ambient vector fields: K illing horizons of order zero and one
Reference 27
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 e5032b73-7780-47dd-ab44-af69e53e423a · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux The constraint tensor for null hypersurfaces
Reference 28
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 2f397b5d-b9d5-42e4-9373-15eb41098f3d · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux C onstraint equations for general hypersurfaces and applications to shells
Reference 29
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 324a95b5-3821-4d29-84ea-183bc5d55fb5 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux H ypersurface data: general properties and B irkhoff theorem in spherical symmetry
Reference 30
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 3154ba1a-1944-4455-8f48-8f71e5799062 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux A bstract null geometry, energy-momentum map and applications to the constraint tensor
Reference 31
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 dc6f06b7-623b-41cf-8e70-be073692e640 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux T ransverse expansion of the metric at null hypersurfaces I
Reference 32
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 21b0d1e0-9603-44ba-8746-33efb1d0ba17 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux L orentzian and signature changing branes
Reference 33
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 f6bb806f-86df-4669-bef7-ce5e3ad37b92 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work
Reference 34
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 a5fa2fb9-97c8-4e0b-a7df-9fa6c8ba9dd8 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux T ransverse expansion of the metric at null hypersurfaces II .\ E xistence results and application to K illing horizons
Reference 35
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 13179072-8e7c-4aec-9427-dafa2d7c9d6f · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Symmetries of cosmological C auchy horizons
Reference 36
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 08ef53ce-76e8-4709-bda3-bf6417104ede · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work
Reference 37
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 d67e4d30-884b-4cc7-885c-219b7510b7ab · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Multiplication of distributions and applications to partial differential equations , vol
Reference 38
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 c4aaa525-4e29-4a8d-bdd2-5bd9539d31ee · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux T wistor quantisation and curved space-time
Reference 39
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 07dec69f-1d3c-48bf-8d31-e8113ff4ea78 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux T he geometry of impulsive gravitational waves
Reference 40
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 4f95881b-5b7d-469a-8250-fb62b38d6ff4 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux C ut-and-paste for impulsive gravitational waves with : T he geometric picture
Reference 41
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 dbd29256-4205-479e-84aa-dacacc2a1f91 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Penrose junction conditions with : geometric insights into low-regularity metrics for impulsive gravitational waves
Reference 42
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 6b5837a6-bbba-4685-a893-5fc8c0d42a5d · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux P enrose junction conditions extended: impulsive waves with gyratons
Reference 43
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 c65f26f0-6560-4baf-bcea-f68e11bda046 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Continuous coordinates for all impulsive pp-waves
Reference 44
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 464fcedd-fde4-4149-9fc0-06f86f1df67f · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux A relativist's toolkit: the mathematics of black-hole mechanics
Reference 45
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 49e64c6b-912a-48cc-93b0-a4eec51f18d0 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Cut-and-paste for impulsive gravitational waves with : T he mathematical analysis
Reference 46
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 d5b8694e-7982-4570-b8a5-d860141d0fc6 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Geodesics in nonexpanding impulsive gravitational waves with
Reference 47
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 b0bf0bd5-eaa1-49c5-a73e-b3d35ecda549 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Geodesics in nonexpanding impulsive gravitational waves with , part I
Reference 48
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 24327563-d73d-42d4-b643-28d5ac24e2fe · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work
Reference 49
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 c87a9943-a625-4462-a273-06917306c1c7 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Scalar curvature rigidity on locally conformally flat manifolds with boundary
Reference 50
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 ef6d4276-bf0f-4cd0-8921-188cb65ddc62 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux On the geometry of impulsive gravitational waves
Reference 51
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 a20ccb8e-62a7-49ba-9de4-793cd61482c6 · outbound
Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work
Reference 52
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.
No inbound Pith citation observations are available.