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Paper Citation Record · LEDGER

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux

As of 18 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.

pith.paper-citation-record.v1
2508.00231 v1

Coverage vector

measured 52 of 52 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T10:21:24.289615Z

measured 52 of 52 standing notices

One-hop event checks from named stored sources.

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measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

52 of 52 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9ce039e5-557e-4851-ba22-dd0e82aef158 · outbound

This paper cites C., and Balasin, H.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux C., and Balasin, H

Reference 1

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Observation 6eed0367-f487-4cdf-b57c-3a4f41b7ece9 · outbound

This paper cites C., and Sexl, R.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux C., and Sexl, R

Reference 2

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Observation 90937db5-47f4-4e05-9335-8553d9a13c9f · outbound

This paper cites an unresolved cited work.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work

Reference 3

Resolution
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Observation 2d465f00-1766-413d-9d27-8dc4a22d928d · outbound

This paper cites T hin shells in general relativity and cosmology: the lightlike limit.

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

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Observation 4e2bf283-ed13-4f15-b2f9-4c9fe6e08532 · outbound

This paper cites B., and Vickers, P.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux B., and Vickers, P

Reference 5

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Observation 45b30190-b815-4955-99b1-9acc77ce608a · outbound

This paper cites T., and Grant, J.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux T., and Grant, J

Reference 6

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Observation 48bc3032-dd2b-4bd9-910b-d6708ce6e4bb · outbound

This paper cites an unresolved cited work.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work

Reference 7

Resolution
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Observation bc410e4b-8154-40a3-bdc9-342f960af612 · outbound

This paper cites L es \'e quations de la gravitation einsteinienne.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux L es \'e quations de la gravitation einsteinienne

Reference 8

Resolution
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Observation f6ef35f3-af51-4730-9952-4a5684018838 · outbound

This paper cites Geometry of lightlike submanifolds in L orentzian space forms.

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

Resolution
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Observation 0475e252-080b-45f6-8efe-d1428b6cb885 · outbound

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Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work

Reference 10

Resolution
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Observation 383d7d70-9efd-4578-b4e6-7e7efc32bfe6 · outbound

This paper cites S trings and other distributional sources in G eneral R elativity.

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

Resolution
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Observation 55125fb6-bd42-4286-9bc7-51ef5d43c689 · outbound

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Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work

Reference 12

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Observation c0c14000-692a-4b16-b3b0-77d8cb3265eb · outbound

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Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work

Reference 13

Resolution
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Observation dc7eec37-2aca-4c60-afcd-0f765b1bc19a · outbound

This paper cites B., and Podolsk \`y , J.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux B., and Podolsk \`y , J

Reference 14

Resolution
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Observation 97828609-2714-472f-9528-d96163a50220 · outbound

This paper cites Geometric theory of generalized functions with applications to general relativity , vol.

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

Resolution
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Observation 2b927207-328e-4bc9-8ebc-993395cce7a1 · outbound

This paper cites S ingular hypersurfaces and thin shells in G eneral R elativity.

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

Resolution
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Observation 539c6638-ac15-49ad-a952-71941b73b5af · outbound

This paper cites The Art of Gluing Space-Time Manifolds: Methods and Applications.

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

Resolution
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Observation 7689ce5c-2c3d-48d3-aeb3-ffb7734268de · outbound

This paper cites K., and Lucietti, J.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux K., and Lucietti, J

Reference 18

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Observation 1922c479-8e78-4659-814c-ab4d9ed1d6dd · outbound

This paper cites A note on the P enrose junction conditions.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux A note on the P enrose junction conditions

Reference 19

Resolution
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Observation 33f1c22c-7cff-4a3b-948a-2059fa90b30a · outbound

This paper cites B emerkung zur de S itterschen W elt.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux B emerkung zur de S itterschen W elt

Reference 20

Resolution
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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

Resolution
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Observation 087669bf-9b17-45e5-bf1e-f22fb2ea2d15 · outbound

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Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work

Reference 22

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Observation 6eeffdfd-dc8b-422b-888f-c9ea049f39e1 · outbound

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Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux G., and Mardare, C

Reference 23

Resolution
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Observation 591ddcfc-5b85-49b3-b99f-3ad8e2bef909 · outbound

This paper cites Null shells: general matching across null boundaries and connection with cut-and-paste formalism.

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

Resolution
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Source-reported events for the cited work

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Observation d1454476-8dfb-4d69-9fcb-6eb7890203b5 · outbound

This paper cites G eneral matching across K illing horizons of zero order.

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

Resolution
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Observation bcb44c2a-23bd-45a3-ba60-eae0695f39d7 · outbound

This paper cites Abstract formulation of the spacetime matching problem and null thin shells.

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

Resolution
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Source-reported events for the cited work

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Observation 8880b2cd-a0b5-4e43-80b5-8225a7d641ac · outbound

This paper cites N ull hypersurface data and ambient vector fields: K illing horizons of order zero and one.

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

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Observation e5032b73-7780-47dd-ab44-af69e53e423a · outbound

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Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux The constraint tensor for null hypersurfaces

Reference 28

Resolution
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Source-reported events for the cited work

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Observation 2f397b5d-b9d5-42e4-9373-15eb41098f3d · outbound

This paper cites C onstraint equations for general hypersurfaces and applications to shells.

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

Resolution
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Source-reported events for the cited work

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Observation 324a95b5-3821-4d29-84ea-183bc5d55fb5 · outbound

This paper cites H ypersurface data: general properties and B irkhoff theorem in spherical symmetry.

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

Resolution
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Source-reported events for the cited work

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Observation 3154ba1a-1944-4455-8f48-8f71e5799062 · outbound

This paper cites A bstract null geometry, energy-momentum map and applications to the constraint tensor.

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

Resolution
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Source-reported events for the cited work

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Observation dc6f06b7-623b-41cf-8e70-be073692e640 · outbound

This paper cites T ransverse expansion of the metric at null hypersurfaces I.

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

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 21b0d1e0-9603-44ba-8746-33efb1d0ba17 · outbound

This paper cites L orentzian and signature changing branes.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux L orentzian and signature changing branes

Reference 33

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation f6bb806f-86df-4669-bef7-ce5e3ad37b92 · outbound

This paper cites an unresolved cited work.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-06T10:21:24.479616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.233454Z digest=sha256:c1a81f4732a50669a86ac75d262805157866c6f28ec424a8e410730c8c5c3910

Observation a5fa2fb9-97c8-4e0b-a7df-9fa6c8ba9dd8 · outbound

This paper cites T ransverse expansion of the metric at null hypersurfaces II .\ E xistence results and application to K illing horizons.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:21:24.470242Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.236161Z digest=sha256:2c72f68c2261aefe39acfbada3e27ad1cda0c79516a9e69efb92d882be975bb5

Observation 13179072-8e7c-4aec-9427-dafa2d7c9d6f · outbound

This paper cites Symmetries of cosmological C auchy horizons.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Symmetries of cosmological C auchy horizons

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:21:24.460927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.239125Z digest=sha256:03df3f3bb5d5eab7277fb48cd531791e6d172cd5df7967116de68ba472e9c862

Observation 08ef53ce-76e8-4709-bda3-bf6417104ede · outbound

This paper cites an unresolved cited work.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work

Reference 37

Resolution
unresolved
raw_fallback, observed 2026-08-06T10:21:24.451828Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.242017Z digest=sha256:3e04f6b97114607c22172450602b16a9ffa17285d64f539e82d6c559bb2a3bc1

Observation d67e4d30-884b-4cc7-885c-219b7510b7ab · outbound

This paper cites Multiplication of distributions and applications to partial differential equations , vol.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:21:24.443526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.244856Z digest=sha256:7140ac5461b55ab89e1f66bdb88cc5e1a804f54c6df3df107f50882991751999

Observation c4aaa525-4e29-4a8d-bdd2-5bd9539d31ee · outbound

This paper cites T wistor quantisation and curved space-time.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux T wistor quantisation and curved space-time

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:21:24.435004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.248391Z digest=sha256:1f9ff4f7d3a647af92e9709917ff4fa1fee76cc7ddcaf4c93913ff292f06bb16

Observation 07dec69f-1d3c-48bf-8d31-e8113ff4ea78 · outbound

This paper cites T he geometry of impulsive gravitational waves.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux T he geometry of impulsive gravitational waves

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:21:24.426587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.251630Z digest=sha256:27f969b1cbfcac95a920fa70ec06a4796685fab114e22bda50378659eb62b7bd

Observation 4f95881b-5b7d-469a-8250-fb62b38d6ff4 · outbound

This paper cites C ut-and-paste for impulsive gravitational waves with : T he geometric picture.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:21:24.418641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.254407Z digest=sha256:875e1b0ddb87caeab7c3e5e1cad7b079c386c28a51b156b2b9acf5009336b07f

Observation dbd29256-4205-479e-84aa-dacacc2a1f91 · outbound

This paper cites Penrose junction conditions with : geometric insights into low-regularity metrics for impulsive gravitational waves.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:21:24.409307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.257191Z digest=sha256:5adc8de460a443d23a9a603c4f7ebca2a432787fa86a1857f9975b6322dbc5c1

Observation 6b5837a6-bbba-4685-a893-5fc8c0d42a5d · outbound

This paper cites P enrose junction conditions extended: impulsive waves with gyratons.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:21:24.400750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.260013Z digest=sha256:1a03b309f0e6919ab02b4103c05680e14b93ccfa6a9d9f5ca30601fbe9eb9ace

Observation c65f26f0-6560-4baf-bcea-f68e11bda046 · outbound

This paper cites Continuous coordinates for all impulsive pp-waves.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Continuous coordinates for all impulsive pp-waves

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:21:24.392756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.263598Z digest=sha256:e857df7540d7eddd70340b50aa171252a6756a3099a314cbb5e07fc50d6e226f

Observation 464fcedd-fde4-4149-9fc0-06f86f1df67f · outbound

This paper cites A relativist's toolkit: the mathematics of black-hole mechanics.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:21:24.384143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.266472Z digest=sha256:86640a5432d2b89031bc37c673c8780afba865031bb616036a09529c45f0402c

Observation 49e64c6b-912a-48cc-93b0-a4eec51f18d0 · outbound

This paper cites Cut-and-paste for impulsive gravitational waves with : T he mathematical analysis.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:21:24.375891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.269375Z digest=sha256:4f780177031494b0635061c0493d5bccb0243817e91aa2f4780942365cc3a1d8

Observation d5b8694e-7982-4570-b8a5-d860141d0fc6 · outbound

This paper cites Geodesics in nonexpanding impulsive gravitational waves with.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Geodesics in nonexpanding impulsive gravitational waves with

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:21:24.366888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.272265Z digest=sha256:88682ba114254acc3bde34393432e2e8772959f61cf2e37506cf4a2436b0aa68

Observation b0bf0bd5-eaa1-49c5-a73e-b3d35ecda549 · outbound

This paper cites Geodesics in nonexpanding impulsive gravitational waves with , part I.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:21:24.357011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.275233Z digest=sha256:ce517f2b7de4cbdc54be84903705b2acdf29962ef95a810293e4b2302c668067

Observation 24327563-d73d-42d4-b643-28d5ac24e2fe · outbound

This paper cites an unresolved cited work.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-06T10:21:24.347775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.278822Z digest=sha256:c9c4a3a9c84948cfc104426915d88191d3b0e8abf7744d90f454ef42070bdf04

Observation c87a9943-a625-4462-a273-06917306c1c7 · outbound

This paper cites Scalar curvature rigidity on locally conformally flat manifolds with boundary.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T10:21:24.339036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.281567Z digest=sha256:30fe629900daec045c9e061a5a5f5bf59ca25067fd4fccf5c4e2a227813c112d

Observation ef6d4276-bf0f-4cd0-8921-188cb65ddc62 · outbound

This paper cites On the geometry of impulsive gravitational waves.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux On the geometry of impulsive gravitational waves

Reference 51

Resolution
verified exact
local_arxiv, observed 2026-08-06T10:21:24.321369Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.285311Z digest=sha256:0b179a1a8a6e449df8e983858e6423050c1d993963c748b32d6ad8a11770c29b

Observation a20ccb8e-62a7-49ba-9de4-793cd61482c6 · outbound

This paper cites an unresolved cited work.

Generalizing the Penrose cut-and-paste method: Null shells with pressure and energy flux Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-06T10:21:24.330409Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=arxiv_source observed=2026-08-06T10:21:24.289615Z digest=sha256:405f2dd072c0e2c537ee66b958c3537f10657c72f2d0e8086f3d943f82f5ab01

Pith citing papers

No inbound Pith citation observations are available.