Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T12:49:42.847871Z
Paper Citation Record · LEDGER
As of 15 August 2026, this Paper Citation Record lists 48 of 48 outbound references and 0 inbound Pith citation observations for arXiv:2412.13868.
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 2026-08-11T12:49:42.847871Z
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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
48 of 48 outbound references displayed
External citation measurements
No source-named external measurement is stored.
Observation 3849baae-d732-4c4a-b5a9-9cdbc3964841 · outbound
Local enhancement of the mean-field approximation for bosons Maximal speed of quantum propagation for the Hartree equation
Reference 1
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 66002140-b0e0-464e-9791-3cfddb6bdacf · outbound
Local enhancement of the mean-field approximation for bosons A central limit theorem in many-body quantum dynamics
Reference 2
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation eee7754a-e3ca-42a1-b998-c25fc9df17ab · outbound
Local enhancement of the mean-field approximation for bosons Quantitative Derivation of the Gross-Pitaevskii Equation
Reference 3
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation bb97fdf2-d519-436f-bb1f-fa91fa7c0372 · outbound
Local enhancement of the mean-field approximation for bosons Beyond B ogoliubov dynamics
Reference 4
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3c132956-8f28-4226-afe5-53e7a444df14 · outbound
Local enhancement of the mean-field approximation for bosons Mean--field evolution of fermionic systems
Reference 5
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5368d13f-8a94-4a99-a4bb-3c80428a1d3f · outbound
Local enhancement of the mean-field approximation for bosons Effective Evolution Equations from Quantum Dynamics
Reference 6
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation d413e925-a45e-4bbd-8968-460249f0e495 · outbound
Local enhancement of the mean-field approximation for bosons Gross--Pitaevskii dynamics for Bose--Einstein condensates
Reference 7
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e9cd9f34-5617-4ab7-ad91-8c842bd35e7c · outbound
Local enhancement of the mean-field approximation for bosons On the K lainerman-- M achedon conjecture for the quantum BBGKY hierarchy with self-interaction
Reference 8
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2f32d174-9192-47e2-ba8e-cbe037c46e8f · outbound
Local enhancement of the mean-field approximation for bosons The derivation of the T ^3 energy-critical NLS from quantum many-body dynamics
Reference 9
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 7a16282e-683a-4365-af41-8af8ca6cdb7b · outbound
Local enhancement of the mean-field approximation for bosons Dynamics of mean-field bosons at positive temperature
Reference 10
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9eac5ae9-5d1d-498f-a9aa-665b697dc3b3 · outbound
Local enhancement of the mean-field approximation for bosons Uniform in Time Convergence to Bose-Einstein Condensation for a Weakly Interacting Bose Gas with an External Potential
Reference 11
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 52bfbc8f-2d2d-4036-bbbd-7f30963b1d77 · outbound
Local enhancement of the mean-field approximation for bosons Nonlinear H artree equation as the mean field limit of weakly coupled fermions
Reference 12
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 2c94120f-20b4-40ec-abb5-e6557db81aec · outbound
Local enhancement of the mean-field approximation for bosons Quantum dynamics with mean field interactions: a new approach
Reference 13
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation f8e9b752-01fe-4421-81a3-e2e42ca78e36 · outbound
Local enhancement of the mean-field approximation for bosons Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential
Reference 14
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation de09b117-0063-47b6-aa50-a5c8760e8444 · outbound
Local enhancement of the mean-field approximation for bosons Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate
Reference 15
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 175e3fd0-7e7c-45c2-be8e-7b16f4ed7d44 · outbound
Local enhancement of the mean-field approximation for bosons Maximal speed for macroscopic particle transport in the B ose- H ubbard model
Reference 16
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c647cd0a-293e-4e6b-ae3c-1fcc6259b2d6 · outbound
Local enhancement of the mean-field approximation for bosons On L ieb- R obinson bounds for the B ose- H ubbard model
Reference 17
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 8bc9c63c-a182-4982-bd6c-c900871f95e3 · outbound
Local enhancement of the mean-field approximation for bosons Effective dynamics of extended fermi gases in the high-density regime
Reference 18
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation b0bf79f5-f6e2-4490-9793-35df7bea96c6 · outbound
Local enhancement of the mean-field approximation for bosons Grillakis, Matei Machedon, and Dionisios Margetis
Reference 19
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e70a64a2-3e69-488c-b703-bd030a93d118 · outbound
Local enhancement of the mean-field approximation for bosons Grillakis, M
Reference 20
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 11444774-c350-43ce-bc05-f5913d8db184 · outbound
Local enhancement of the mean-field approximation for bosons Uncertainty principle, minimal escape velocities, and observability inequalities for S chr \"o dinger equations
Reference 21
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 225f0c09-f834-445b-a859-951b7060fc9a · outbound
Local enhancement of the mean-field approximation for bosons Uniform S trichartz estimates on the lattice
Reference 22
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 4dd2138b-ca7b-4d75-8ee8-f1f4754044d3 · outbound
Local enhancement of the mean-field approximation for bosons Symmetry-enhanced Lieb-Robinson bounds for a class of Bose-Hubbard type Hamiltonians
Reference 23
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 616dadb6-6908-4fd4-9381-ee9addaa4f93 · outbound
Local enhancement of the mean-field approximation for bosons Mean-field dynamics: singular potentials and rate of convergence
Reference 24
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3f0ba1fc-a253-4c3f-8ad6-302f7cd2af2e · outbound
Local enhancement of the mean-field approximation for bosons Lieb- R obinson bound and almost-linear light cone in interacting boson systems
Reference 25
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 9aa7e96a-5be5-4159-a0c0-ee3fde524ffd · outbound
Local enhancement of the mean-field approximation for bosons Endpoint S trichartz estimates
Reference 26
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5e53fdc6-3c0f-4f59-b431-d94f076ea399 · outbound
Local enhancement of the mean-field approximation for bosons Rate of convergence to mean field for interacting bosons
Reference 27
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e8b561f9-ff07-4f66-8396-b56a3d0ea98c · outbound
Local enhancement of the mean-field approximation for bosons Effective light cone and digital quantum simulation of interacting bosons
Reference 28
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 22416194-f11c-4021-a26d-3b3ef3827ea7 · outbound
Local enhancement of the mean-field approximation for bosons On the Time Dependence of the Rate of Convergence Towards Hartree Dynamics for Interacting Bosons
Reference 29
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a808e2de-6e6e-45e9-bb3b-11ebfb238d00 · outbound
Local enhancement of the mean-field approximation for bosons Fluctuations around H artree states in the mean-field regime
Reference 30
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 32bd7e2d-6c68-4443-8e0c-8e91f65284d0 · outbound
Local enhancement of the mean-field approximation for bosons B ogoliubov spectrum of interacting B ose gases
Reference 31
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 411f6f91-bc4e-41fd-b8b4-4244dc0ad120 · outbound
Local enhancement of the mean-field approximation for bosons The finite group velocity of quantum spin systems
Reference 32
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 052bffec-3387-453b-92c7-2f2081ffe5e1 · outbound
Local enhancement of the mean-field approximation for bosons Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory
Reference 33
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation c323328a-6f40-41d5-9c32-3fe2c49aea28 · outbound
Local enhancement of the mean-field approximation for bosons Information propagation in long-range quantum many-body systems
Reference 34
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 91b57746-152b-497f-b965-3d0931320e97 · outbound
Local enhancement of the mean-field approximation for bosons On the microscopic propagation speed of long-range quantum many-body systems
Reference 35
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 37ccceb1-a8c1-41e8-9199-7f39025a6e31 · outbound
Local enhancement of the mean-field approximation for bosons Strong semiclassical limits from H artree and H artree-- F ock to V lasov-- P oisson equations
Reference 36
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e30d8992-060b-450d-9ca3-aaadbb659564 · outbound
Local enhancement of the mean-field approximation for bosons Bogoliubov corrections and trace norm convergence for the H artree dynamics
Reference 37
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e7ddcfef-6519-4182-947a-91b62d9e08e4 · outbound
Local enhancement of the mean-field approximation for bosons Dynamics of interacting bosons: a compact review
Reference 38
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 29129b68-3ae9-4462-b272-b6f816f7f785 · outbound
Local enhancement of the mean-field approximation for bosons Bogoliubov correction to the mean-field dynamics of interacting bosons
Reference 39
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation cc95bdd6-cb11-4ad3-abf9-f01ba920f3b8 · outbound
Local enhancement of the mean-field approximation for bosons Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems
Reference 40
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 4de1bf95-155b-4ae0-a98b-3277e9460948 · outbound
Local enhancement of the mean-field approximation for bosons A simple derivation of mean field limits for quantum systems
Reference 41
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 242f2bd1-1a74-4c5c-93ed-3c69e46c71bf · outbound
Local enhancement of the mean-field approximation for bosons Quantum fluctuations and rate of convergence towards mean field dynamics
Reference 42
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 678338ec-cee8-4474-bbc7-b7e1a0ea2821 · outbound
Local enhancement of the mean-field approximation for bosons L arge deviation estimates for weakly interacting bosons
Reference 43
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation a9c096cd-a6f0-4723-8477-ed8c7110ffe0 · outbound
Local enhancement of the mean-field approximation for bosons Information propagation for interacting-particle systems
Reference 44
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 5cc96694-4312-43ca-8ce1-d5f8e6c27bbd · outbound
Local enhancement of the mean-field approximation for bosons Asymptotic behaviour of small solutions for the discrete nonlinear Schr\"odinger and Klein-Gordon equations
Reference 45
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 3ef7daef-dd0b-4de8-a608-4b9bdeb2625a · outbound
Local enhancement of the mean-field approximation for bosons Finite speed of quantum information in models of interacting bosons at finite density
Reference 46
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation e812fc9a-6142-47c6-8e57-de18333aa25f · outbound
Local enhancement of the mean-field approximation for bosons Spectral localization estimates for abstract linear Schr\"odinger equations
Reference 47
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
Observation 49158d71-54ec-4a69-88cb-b2e886228e51 · outbound
Local enhancement of the mean-field approximation for bosons Upper bounds in non-autonomous quantum dynamics
Reference 48
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.
No inbound Pith citation observations are available.