Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-25T02:22:16.058727Z
Paper Citation Record · LEDGER
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz
As of 21 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:2605.23669.
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 2026-08-21T06:32:19.484+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
19 of 19 outbound references displayed
- verified exact1
- verified fuzzy10
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation f415e033-5d94-4a9e-a9b5-78ed7999c8c0 · outbound
This paper cites Watanabe and S.
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Watanabe and S
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T02:26:34.668646Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 35cbcd33-c61d-4e44-a391-5c000460bad6 · outbound
This paper cites Watanabe and S.
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Watanabe and S
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T02:26:34.671510Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation f60f3184-6d61-44ce-bdd9-2cd85edb707d · outbound
This paper cites an unresolved cited work.
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-05-25T02:26:34.674364Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a85f6a1a-695f-4426-9c48-f3e64a8a93fb · outbound
This paper cites an unresolved cited work.
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-05-25T02:26:34.677231Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0f0993b4-2019-4516-a82e-546d5d953f2d · outbound
This paper cites Ott and T.
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Ott and T
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T02:26:34.694026Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 23b76f4e-9eb7-45ed-bb74-ce8760f40c6e · outbound
This paper cites Montbrió, D.
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Montbrió, D
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T02:26:34.688055Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 58014b51-897e-4aa4-9e35-d8826b55914f · outbound
This paper cites Cestnik and E.
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Cestnik and E
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T02:26:34.680569Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 683316fc-dee3-490a-9464-e1afc3ce3652 · outbound
This paper cites Low Dimensional Dynamics of Globally Coupled Complex Riccati Equations: Exact Firing-rate Equations for Spiking Neurons with Clustered Substructure.
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Low Dimensional Dynamics of Globally Coupled Complex Riccati Equations: Exact Firing-rate Equations for Spiking Neurons with Clustered Substructure
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-05-25T02:25:15.368634Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation bfd66dc1-cc92-4978-bb2a-03f83eb428e6 · outbound
This paper cites an unresolved cited work.
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-05-25T02:26:34.691123Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation b00ae1fa-53c2-4ad8-a06d-80336d0ff0ee · outbound
This paper cites an unresolved cited work.
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-05-25T02:26:34.720184Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a221b370-ba3e-469c-b019-1b86fa9b53da · outbound
This paper cites an unresolved cited work.
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-05-25T02:26:34.705587Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0e57127f-b94c-4792-9ce2-bda90e28677f · outbound
This paper cites Hille, Ordinary Differential Equations in the Com- plex Domain, A Wiley-Interscience publication (Wiley- Interscience, New York, 1976) see Chapter 4 for Riccati equations.
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Hille, Ordinary Differential Equations in the Com- plex Domain, A Wiley-Interscience publication (Wiley- Interscience, New York, 1976) see Chapter 4 for Riccati equations
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T02:26:34.711426Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a81fad87-a374-486a-946d-844f6c63a8c8 · outbound
This paper cites Villani, Optimal Transport: Old and New , Grundlehren der mathematischen Wissenschaften, Vol.
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Villani, Optimal Transport: Old and New , Grundlehren der mathematischen Wissenschaften, Vol
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T02:26:34.717264Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 6d8e587b-a082-4c90-9997-a2feceeb7c47 · outbound
This paper cites an unresolved cited work.
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-05-25T02:26:34.714334Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 9689322e-1557-451a-9587-400fe5619744 · outbound
This paper cites Letac, Which functions preserve Cauchy laws?, Pro- ceedings of the American Mathematical Society67, 277 (1977).
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Letac, Which functions preserve Cauchy laws?, Pro- ceedings of the American Mathematical Society67, 277 (1977)
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T02:26:34.726024Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation a885eeb4-baeb-4d83-85fd-de6b2c6a6eb6 · outbound
This paper cites Ratas and K.
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Ratas and K
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T02:26:34.729222Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation ddeeb522-5295-479f-97e5-72d26cca5f1a · outbound
This paper cites an unresolved cited work.
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-05-25T02:26:34.699710Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 0ddad789-68f8-4c3f-903a-d603ddcd763a · outbound
This paper cites Klinshov, S.
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Klinshov, S
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-25T02:26:34.702543Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Observation 3a6b772e-b178-4e99-a7be-56cea39b2d65 · outbound
This paper cites an unresolved cited work.
Geometric Origin of Exact Mean-Field Reductions: M{\"o}bius Symmetry and the Lorentzian Ansatz Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-05-25T02:26:34.696819Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.
Pith citing papers
No inbound Pith citation observations are available.