Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-06-28T16:45:45.476621Z
Paper Citation Record · LEDGER
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation
As of 11 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 0 inbound Pith citation observations for arXiv:2606.01331.
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
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
47 of 47 outbound references displayed
- verified exact1
- verified fuzzy0
- unresolved46
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 8e34d1cc-6893-4315-962c-18c3b4093b81 · outbound
This paper cites Alexandre, Y.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Alexandre, Y
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7b1eb733-830e-41d9-8162-c8c76bd7b79f · outbound
This paper cites an unresolved cited work.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Unresolved cited work
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3aa722e5-ae0a-4534-8878-02885c8212fb · outbound
This paper cites Ars´ enio.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Ars´ enio
Reference 3
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0984c685-4e0e-4d5d-9efd-9d59fdab130f · outbound
This paper cites Ba¸ sako˘ glu, C.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Ba¸ sako˘ glu, C
Reference 4
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 0350e60f-ccef-4026-b083-e5d927e04123 · outbound
This paper cites Bejenaru and T.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Bejenaru and T
Reference 5
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b3ae4bea-f525-401b-b345-cd09a04d2f3f · outbound
This paper cites Boltzmann.Wissenschaftliche Abhandlungen von Ludwig Boltzmann.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Boltzmann.Wissenschaftliche Abhandlungen von Ludwig Boltzmann
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation feb3cd35-4f36-4be5-8719-763a6fb2f1f4 · outbound
This paper cites Bourgain and D.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Bourgain and D
Reference 7
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7daa82c5-f32a-4200-9626-dcf7459a9430 · outbound
This paper cites Bourgain and D.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Bourgain and D
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 955c27ba-c7c9-4c4e-83f9-60aad13662c6 · outbound
This paper cites Bourgain and D.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Bourgain and D
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 270e6367-b35c-439f-8a0f-2fa117e7808d · outbound
This paper cites Bourgain and N.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Bourgain and N
Reference 10
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 7b31ba02-4f01-47e1-b173-d60d367c3055 · outbound
This paper cites an unresolved cited work.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Unresolved cited work
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 291e6f11-4f47-4beb-acda-b51e5880e91e · outbound
This paper cites an unresolved cited work.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Unresolved cited work
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6b80841c-9292-4481-b8f3-eade32048411 · outbound
This paper cites an unresolved cited work.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Unresolved cited work
Reference 13
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d1ec3e38-857f-4cc7-aee9-bd8a45f9590d · outbound
This paper cites Chen and N.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Chen and N
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d554fb31-26d6-4180-b1c1-411da347caee · outbound
This paper cites an unresolved cited work.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Unresolved cited work
Reference 15
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5233731f-e04d-4920-a05d-b75cd5228bdc · outbound
This paper cites Chen and J.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Chen and J
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 89ecb97e-b24c-4c3c-83c8-3fc4ac1770fe · outbound
This paper cites Chen and J.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Chen and J
Reference 17
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 30f731dc-5404-4ac4-81de-1eae76bf9a6b · outbound
This paper cites Chen and J.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Chen and J
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 80082cdb-3502-443d-808f-18e1a3399343 · outbound
This paper cites Sharp Global Well-posedness and Scattering of the Boltzmann Equation.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Sharp Global Well-posedness and Scattering of the Boltzmann Equation
Reference 19
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T21:36:14.929256Z
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 7aaf1067-7ba4-4e7d-bb50-885baca5ead4 · outbound
This paper cites an unresolved cited work.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Unresolved cited work
Reference 20
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 41211ea8-b141-428b-a625-0d0328db9231 · outbound
This paper cites an unresolved cited work.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Unresolved cited work
Reference 21
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2fde8ec6-95fb-494a-b5a8-9f9d1b1f07c8 · outbound
This paper cites Christ, J.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Christ, J
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e61d273b-eb4e-4de2-a6ef-97e34ac75bb7 · outbound
This paper cites an unresolved cited work.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Unresolved cited work
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ba9db127-c9fa-44fe-b2ed-a28f5817bd44 · outbound
This paper cites an unresolved cited work.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Unresolved cited work
Reference 24
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 02bd8fc3-1195-49ee-8c77-309b42511da2 · outbound
This paper cites an unresolved cited work.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Unresolved cited work
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4940178e-08ac-4ba3-93e1-32b47362a8d7 · outbound
This paper cites Duan and S.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Duan and S
Reference 26
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6d66727d-45c9-4c5d-8450-46a82ff0db81 · outbound
This paper cites an unresolved cited work.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Unresolved cited work
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1eb62db8-d933-464e-ad1f-4d5244565681 · outbound
This paper cites an unresolved cited work.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Unresolved cited work
Reference 28
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 57ffe919-5ef6-49c7-8eec-2f9befb6dbe1 · outbound
This paper cites an unresolved cited work.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Unresolved cited work
Reference 29
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5e2ba1dc-664c-4a53-80ea-5b18695b50fb · outbound
This paper cites Guo and I.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Guo and I
Reference 30
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3d3bd294-06c9-42ff-baae-1912fff95963 · outbound
This paper cites He, J.-C.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation He, J.-C
Reference 31
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation fed961b9-ed92-4399-bf3c-e6d24f1ae1b2 · outbound
This paper cites Herr and V.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Herr and V
Reference 32
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f41c8216-059d-4a7e-a0f6-7a6961ba1467 · outbound
This paper cites Illner and M.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Illner and M
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a5ab0dcf-dd7b-4846-9afc-4781eb9fc533 · outbound
This paper cites Kaniel and M.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Kaniel and M
Reference 34
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation ca6faafd-5b30-4f11-b908-ddaabbb8d934 · outbound
This paper cites an unresolved cited work.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Unresolved cited work
Reference 35
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation c920e882-7302-49d2-91ea-87b36d97dc48 · outbound
This paper cites Kirkpatrick, B.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Kirkpatrick, B
Reference 36
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f8212c7e-6c7d-46a2-ae62-42a54f986b49 · outbound
This paper cites Klainerman and M.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Klainerman and M
Reference 37
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 22174cd3-505d-4bb0-81fe-85716bacb6fb · outbound
This paper cites Liu and S.-H.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Liu and S.-H
Reference 38
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 71672fce-bb40-44cc-b88b-e17713215159 · outbound
This paper cites Liu and S.-H.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Liu and S.-H
Reference 39
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 1177e8a7-6baa-4933-8052-74b256de7663 · outbound
This paper cites an unresolved cited work.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Unresolved cited work
Reference 40
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d16593c9-14e1-4831-ba86-fbaef29e3831 · outbound
This paper cites Molinet, J.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Molinet, J
Reference 41
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a8c11f7e-7ca0-483e-8e90-522fe7c0780f · outbound
This paper cites Molinet, J.-C.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Molinet, J.-C
Reference 42
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 06b2d38b-c55a-486a-9b22-13dc6a1bac69 · outbound
This paper cites Mouhot and C.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Mouhot and C
Reference 43
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 80686176-89a6-4b28-bddf-3fa5cfe8cd0d · outbound
This paper cites Nakanishi.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Nakanishi
Reference 44
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f442abb6-22ad-48fc-9dc6-20bb66545335 · outbound
This paper cites an unresolved cited work.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Unresolved cited work
Reference 45
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9f8851f0-3991-4e47-8562-4c375b66a612 · outbound
This paper cites an unresolved cited work.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Unresolved cited work
Reference 46
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation dbab2e32-d56c-4d0a-8ce6-0c894246aca2 · outbound
This paper cites an unresolved cited work.
Sharp $H_{x}^{s}$ Ill-posedness of the Hard-sphere Boltzmann Equation Unresolved cited work
Reference 47
- Resolution
- unresolved
- no resolver link, observed 2026-06-28T16:45:45.476621Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
No inbound Pith citation observations are available.