Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:34:40.048971Z
Paper Citation Record · LEDGER
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov
As of 12 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 2 inbound Pith citation observations for arXiv:2506.21779.
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 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-05T10:21:52.995290Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-01T20:16:12.235849Z
Reference resolution
39 of 39 outbound references displayed
- verified exact5
- verified fuzzy13
- unresolved21
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 1790fa6e-f5cd-4ee0-b5fa-e0fc056bed39 · outbound
This paper cites Squeezing a fixed amount of gravitational energy to arbitrarily small scales, in $U(1)$ symmetry.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Squeezing a fixed amount of gravitational energy to arbitrarily small scales, in $U(1)$ symmetry
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:34:36.970423Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5d4e2c7d-5c5e-4def-9c25-608ec6013704 · outbound
This paper cites Semi-global constructions of spacetimes containing curvature singularities.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Semi-global constructions of spacetimes containing curvature singularities
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T22:34:41.114408Z
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 eaf3dd33-24a2-4cb3-a21f-70dcb7ce855e · outbound
This paper cites Bahouri and J.-Y.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Bahouri and J.-Y
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:34:46.074911Z
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 34808b1a-a292-4c38-971a-7dc554c4f076 · outbound
This paper cites Bahouri and J.-Y.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Bahouri and J.-Y
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:34:45.960070Z
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 75ae87b4-7e1b-477e-906e-7ffd4828d9e9 · outbound
This paper cites an unresolved cited work.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:34:45.833357Z
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 e55518ab-797d-4d4e-93a6-4816cbdbdc8f · outbound
This paper cites Choquet-Bruhat.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Choquet-Bruhat
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:34:45.705753Z
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 9dfe36d8-888c-476c-9f5a-3c2f1966d974 · outbound
This paper cites Choquet-Bruhat.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Choquet-Bruhat
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:34:45.561053Z
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 aac7510b-6bb3-4680-aa9b-7635a192c291 · outbound
This paper cites an unresolved cited work.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:34:45.412584Z
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 359948bc-0fa0-48f7-a2b1-20816ec3fcc9 · outbound
This paper cites Oscillations in wave map systems and homogenization of the Einstein equations in symmetry.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Oscillations in wave map systems and homogenization of the Einstein equations in symmetry
Reference 9
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T22:34:40.927288Z
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 c99aaff8-043d-48df-8add-499cd48fd33c · outbound
This paper cites an unresolved cited work.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:34:45.249716Z
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 13cf09be-0e90-4466-920a-fe00186a57a5 · outbound
This paper cites an unresolved cited work.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:34:45.092472Z
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 85e751bc-4700-4844-8a87-f847845dd89d · outbound
This paper cites an unresolved cited work.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:34:44.886089Z
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 03d82c9e-eaab-4c95-a591-88c556ea6f39 · outbound
This paper cites Huneau and J.
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:34:44.713023Z
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 0909b206-36de-495f-a15d-b4d59d2a9be5 · outbound
This paper cites Huneau and J.
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:34:44.536883Z
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 0db7ccd7-6f07-4c57-9484-1785292a56a1 · outbound
This paper cites Trilinear compensated compactness and Burnett's conjecture in general relativity.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Trilinear compensated compactness and Burnett's conjecture in general relativity
Reference 15
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T22:34:40.691780Z
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 06102535-65f4-46d8-a94c-2f9a52e79ec3 · outbound
This paper cites Burnett's conjecture in generalized wave coordinates.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Burnett's conjecture in generalized wave coordinates
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:34:38.037164Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a0ac415b-ccb1-4c60-bff0-6f13f295a1a9 · outbound
This paper cites Huneau and J.
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:34:44.387056Z
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 d829736c-4248-4cb3-85b5-69062ca8e60e · outbound
This paper cites an unresolved cited work.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:34:44.235784Z
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 336f0c4f-1256-4be3-b2b3-b8b1223c7602 · outbound
This paper cites an unresolved cited work.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:34:44.124414Z
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 98fab05d-91be-4667-9c14-45c88f608fd0 · outbound
This paper cites Klainerman and I.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Klainerman and I
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:34:43.989068Z
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 d8c23e00-cc24-4f08-a9c6-86a0489565c2 · outbound
This paper cites Klainerman and I.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Klainerman and I
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:34:43.860469Z
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 806b4c9a-40b9-4f7d-9b59-bf5197468e16 · outbound
This paper cites Klainerman, I.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Klainerman, I
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:34:43.733380Z
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 3a95caa0-c503-440d-b3c9-d17ff899eb2b · outbound
This paper cites Le Floch and P.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Le Floch and P
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:34:43.618158Z
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 513e3446-d86d-4b8d-99c9-25312d92202f · outbound
This paper cites an unresolved cited work.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:34:43.464989Z
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 50eb6d0d-26ff-4a5d-8226-97775855e8c0 · outbound
This paper cites an unresolved cited work.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Unresolved cited work
Reference 25
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:34:43.325707Z
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 7f12538f-4622-40a9-b3b6-ae8f6e5a8e69 · outbound
This paper cites an unresolved cited work.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:34:43.155615Z
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 4ccb139e-c031-4848-86bb-6d89b366da68 · outbound
This paper cites Luk and I.
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:34:42.966670Z
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 11305018-a7c6-4f61-8d5b-db03a6427414 · outbound
This paper cites Luk and I.
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:34:42.778080Z
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 29f0a219-2ce2-4078-83cf-a0c958033334 · outbound
This paper cites High-frequency limits and null dust shell solutions in general relativity.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov High-frequency limits and null dust shell solutions in general relativity
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:34:39.105699Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 26535f1a-198d-49bb-883f-1cc4cbc8a27c · outbound
This paper cites Nonlinear interaction of three impulsive gravitational waves I: main result and the geometric estimates.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Nonlinear interaction of three impulsive gravitational waves I: main result and the geometric estimates
Reference 30
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T22:34:40.445986Z
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 f611b228-3d42-4623-b6dc-83a8d29d9fa8 · outbound
This paper cites Nonlinear interaction of three impulsive gravitational waves II: the wave estimates.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Nonlinear interaction of three impulsive gravitational waves II: the wave estimates
Reference 31
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T22:34:40.283812Z
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 f63bbcde-3aff-44b2-b45a-4e3b0726b504 · outbound
This paper cites an unresolved cited work.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:34:42.559798Z
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 88872a83-83b2-4065-b3ba-ecc39030af6c · outbound
This paper cites an unresolved cited work.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Unresolved cited work
Reference 33
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:34:42.377365Z
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 7f1ca6e7-6f86-43e8-ac72-710d290ed61c · outbound
This paper cites an unresolved cited work.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:34:42.202354Z
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 110941ca-0621-42bb-b412-a1bd7b118ec8 · outbound
This paper cites an unresolved cited work.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:34:41.997270Z
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 b088d375-d5bd-4f41-a0b3-986a42583c22 · outbound
This paper cites an unresolved cited work.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:34:41.769306Z
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 038799a9-770d-4e3e-bc43-03dd24bb5423 · outbound
This paper cites an unresolved cited work.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:34:41.507412Z
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 03d34673-2ed5-448a-9f8d-98c419e550ab · outbound
This paper cites an unresolved cited work.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov Unresolved cited work
Reference 38
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:34:41.269722Z
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 b0462748-7057-4e8b-be2d-83250c00a764 · outbound
This paper cites The reverse Burnett conjecture for null dusts.
High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov The reverse Burnett conjecture for null dusts
Reference 39
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:34:40.048971Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 9e71b1ba-2681-4a62-963e-234f5485d6c1 · inbound
Backreaction of Halilsoy and Chandrasekhar waves cites this paper.
Backreaction of Halilsoy and Chandrasekhar waves High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T10:21:52.995290Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6aa407c3-d383-4642-809e-08b98b63e20c · inbound
Stability and instability of torus-symmetric Einstein spacetimes with square-integrable connection cites this paper.
Stability and instability of torus-symmetric Einstein spacetimes with square-integrable connection High-frequency backreaction for the Einstein equations under $\mathbb U(1)$ symmetry: from Einstein-dust to Einstein-Vlasov
Reference 26
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T20:16:12.237937Z
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.