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Paper Citation Record · LEDGER

Local enhancement of the mean-field approximation for bosons

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.

pith.paper-citation-record.v1
2412.13868 v1

Coverage vector

measured 48 of 48 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:49:42.847871Z

measured 48 of 48 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

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

48 of 48 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3849baae-d732-4c4a-b5a9-9cdbc3964841 · outbound

This paper cites Maximal speed of quantum propagation for the Hartree equation.

Local enhancement of the mean-field approximation for bosons Maximal speed of quantum propagation for the Hartree equation

Reference 1

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 66002140-b0e0-464e-9791-3cfddb6bdacf · outbound

This paper cites A central limit theorem in many-body quantum dynamics.

Local enhancement of the mean-field approximation for bosons A central limit theorem in many-body quantum dynamics

Reference 2

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source=arxiv_source observed=2026-08-11T12:49:42.626811Z digest=sha256:4fbb15d7c6ab2a161b796a7935a443445cc88493e4fb628486058bdc1c4d25ac

Observation eee7754a-e3ca-42a1-b998-c25fc9df17ab · outbound

This paper cites Quantitative Derivation of the Gross-Pitaevskii Equation.

Local enhancement of the mean-field approximation for bosons Quantitative Derivation of the Gross-Pitaevskii Equation

Reference 3

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation bb97fdf2-d519-436f-bb1f-fa91fa7c0372 · outbound

This paper cites Beyond B ogoliubov dynamics.

Local enhancement of the mean-field approximation for bosons Beyond B ogoliubov dynamics

Reference 4

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Observation 3c132956-8f28-4226-afe5-53e7a444df14 · outbound

This paper cites Mean--field evolution of fermionic systems.

Local enhancement of the mean-field approximation for bosons Mean--field evolution of fermionic systems

Reference 5

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Observation 5368d13f-8a94-4a99-a4bb-3c80428a1d3f · outbound

This paper cites Effective Evolution Equations from Quantum Dynamics.

Local enhancement of the mean-field approximation for bosons Effective Evolution Equations from Quantum Dynamics

Reference 6

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T12:49:42.646624Z digest=sha256:d65d69ba7a47744bd8f74ff5cad058df2626b47dab46319aeb1e54c78a4fac3c

Observation d413e925-a45e-4bbd-8968-460249f0e495 · outbound

This paper cites Gross--Pitaevskii dynamics for Bose--Einstein condensates.

Local enhancement of the mean-field approximation for bosons Gross--Pitaevskii dynamics for Bose--Einstein condensates

Reference 7

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T12:49:42.652132Z digest=sha256:a11ba6c2d6818732bd592b559d4ceb79f3a8e4b3869535e65824de1c03402854

Observation e9cd9f34-5617-4ab7-ad91-8c842bd35e7c · outbound

This paper cites On the K lainerman-- M achedon conjecture for the quantum BBGKY hierarchy with self-interaction.

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

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T12:49:42.656915Z digest=sha256:be64753629cd03096fa5180cb118de126f0f106ea4565d7e57abce5c0c981d99

Observation 2f32d174-9192-47e2-ba8e-cbe037c46e8f · outbound

This paper cites The derivation of the T ^3 energy-critical NLS from quantum many-body dynamics.

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

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source=arxiv_source observed=2026-08-11T12:49:42.662325Z digest=sha256:e8dd9539f636de9bd4ad84fbde8d14c18433d915130aeb0580b27eeb2629f365

Observation 7a16282e-683a-4365-af41-8af8ca6cdb7b · outbound

This paper cites Dynamics of mean-field bosons at positive temperature.

Local enhancement of the mean-field approximation for bosons Dynamics of mean-field bosons at positive temperature

Reference 10

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source=arxiv_source observed=2026-08-11T12:49:42.667204Z digest=sha256:f56eef00f27fbc943ca7fcebcb29150eceab5bc696682e289cfda2d0b85eb920

Observation 9eac5ae9-5d1d-498f-a9aa-665b697dc3b3 · outbound

This paper cites Uniform in Time Convergence to Bose-Einstein Condensation for a Weakly Interacting Bose Gas with an External Potential.

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

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Observation 52bfbc8f-2d2d-4036-bbbd-7f30963b1d77 · outbound

This paper cites Nonlinear H artree equation as the mean field limit of weakly coupled fermions.

Local enhancement of the mean-field approximation for bosons Nonlinear H artree equation as the mean field limit of weakly coupled fermions

Reference 12

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 2c94120f-20b4-40ec-abb5-e6557db81aec · outbound

This paper cites Quantum dynamics with mean field interactions: a new approach.

Local enhancement of the mean-field approximation for bosons Quantum dynamics with mean field interactions: a new approach

Reference 13

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Observation f8e9b752-01fe-4421-81a3-e2e42ca78e36 · outbound

This paper cites Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential.

Local enhancement of the mean-field approximation for bosons Rigorous derivation of the Gross-Pitaevskii equation with a large interaction potential

Reference 14

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Observation de09b117-0063-47b6-aa50-a5c8760e8444 · outbound

This paper cites Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate.

Local enhancement of the mean-field approximation for bosons Derivation of the Gross-Pitaevskii equation for the dynamics of Bose-Einstein condensate

Reference 15

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Observation 175e3fd0-7e7c-45c2-be8e-7b16f4ed7d44 · outbound

This paper cites Maximal speed for macroscopic particle transport in the B ose- H ubbard model.

Local enhancement of the mean-field approximation for bosons Maximal speed for macroscopic particle transport in the B ose- H ubbard model

Reference 16

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Observation c647cd0a-293e-4e6b-ae3c-1fcc6259b2d6 · outbound

This paper cites On L ieb- R obinson bounds for the B ose- H ubbard model.

Local enhancement of the mean-field approximation for bosons On L ieb- R obinson bounds for the B ose- H ubbard model

Reference 17

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Observation 8bc9c63c-a182-4982-bd6c-c900871f95e3 · outbound

This paper cites Effective dynamics of extended fermi gases in the high-density regime.

Local enhancement of the mean-field approximation for bosons Effective dynamics of extended fermi gases in the high-density regime

Reference 18

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Observation b0bf79f5-f6e2-4490-9793-35df7bea96c6 · outbound

This paper cites Grillakis, Matei Machedon, and Dionisios Margetis.

Local enhancement of the mean-field approximation for bosons Grillakis, Matei Machedon, and Dionisios Margetis

Reference 19

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Observation e70a64a2-3e69-488c-b703-bd030a93d118 · outbound

This paper cites Grillakis, M.

Local enhancement of the mean-field approximation for bosons Grillakis, M

Reference 20

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Observation 11444774-c350-43ce-bc05-f5913d8db184 · outbound

This paper cites Uncertainty principle, minimal escape velocities, and observability inequalities for S chr \"o dinger equations.

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

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Observation 225f0c09-f834-445b-a859-951b7060fc9a · outbound

This paper cites Uniform S trichartz estimates on the lattice.

Local enhancement of the mean-field approximation for bosons Uniform S trichartz estimates on the lattice

Reference 22

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Observation 4dd2138b-ca7b-4d75-8ee8-f1f4754044d3 · outbound

This paper cites Symmetry-enhanced Lieb-Robinson bounds for a class of Bose-Hubbard type Hamiltonians.

Local enhancement of the mean-field approximation for bosons Symmetry-enhanced Lieb-Robinson bounds for a class of Bose-Hubbard type Hamiltonians

Reference 23

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source=arxiv_source observed=2026-08-11T12:49:42.728166Z digest=sha256:beb3c3bf0566c68cb5b8557a5d21a2079f8cfc6d45a863b879adfc7982c4054a

Observation 616dadb6-6908-4fd4-9381-ee9addaa4f93 · outbound

This paper cites Mean-field dynamics: singular potentials and rate of convergence.

Local enhancement of the mean-field approximation for bosons Mean-field dynamics: singular potentials and rate of convergence

Reference 24

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Observation 3f0ba1fc-a253-4c3f-8ad6-302f7cd2af2e · outbound

This paper cites Lieb- R obinson bound and almost-linear light cone in interacting boson systems.

Local enhancement of the mean-field approximation for bosons Lieb- R obinson bound and almost-linear light cone in interacting boson systems

Reference 25

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source=arxiv_source observed=2026-08-11T12:49:42.737057Z digest=sha256:38b869279c9b2dee9d9c0980a5f518e98fbd7a1230a883e6f3c4d01ebe40762d

Observation 9aa7e96a-5be5-4159-a0c0-ee3fde524ffd · outbound

This paper cites Endpoint S trichartz estimates.

Local enhancement of the mean-field approximation for bosons Endpoint S trichartz estimates

Reference 26

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Observation 5e53fdc6-3c0f-4f59-b431-d94f076ea399 · outbound

This paper cites Rate of convergence to mean field for interacting bosons.

Local enhancement of the mean-field approximation for bosons Rate of convergence to mean field for interacting bosons

Reference 27

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Observation e8b561f9-ff07-4f66-8396-b56a3d0ea98c · outbound

This paper cites Effective light cone and digital quantum simulation of interacting bosons.

Local enhancement of the mean-field approximation for bosons Effective light cone and digital quantum simulation of interacting bosons

Reference 28

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Observation 22416194-f11c-4021-a26d-3b3ef3827ea7 · outbound

This paper cites On the Time Dependence of the Rate of Convergence Towards Hartree Dynamics for Interacting Bosons.

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

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Observation a808e2de-6e6e-45e9-bb3b-11ebfb238d00 · outbound

This paper cites Fluctuations around H artree states in the mean-field regime.

Local enhancement of the mean-field approximation for bosons Fluctuations around H artree states in the mean-field regime

Reference 30

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

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Observation 32bd7e2d-6c68-4443-8e0c-8e91f65284d0 · outbound

This paper cites B ogoliubov spectrum of interacting B ose gases.

Local enhancement of the mean-field approximation for bosons B ogoliubov spectrum of interacting B ose gases

Reference 31

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T12:49:42.763248Z digest=sha256:d878842a903d6fcbe65a8d2ac0b143e7d384919df6b0796a44edcfcdd79a066d

Observation 411f6f91-bc4e-41fd-b8b4-4244dc0ad120 · outbound

This paper cites The finite group velocity of quantum spin systems.

Local enhancement of the mean-field approximation for bosons The finite group velocity of quantum spin systems

Reference 32

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T12:49:42.767469Z digest=sha256:d8d61a619a32d9453f2b677de34fe782368f7b135257c911d9fb1684d69117fe

Observation 052bffec-3387-453b-92c7-2f2081ffe5e1 · outbound

This paper cites Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory.

Local enhancement of the mean-field approximation for bosons Out-of-time-ordered correlators of mean-field bosons via Bogoliubov theory

Reference 33

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T12:49:42.771975Z digest=sha256:95dede18c9ee0dafc1dedebebc127be6d08545dcd954f4ea51c3add4ed152724

Observation c323328a-6f40-41d5-9c32-3fe2c49aea28 · outbound

This paper cites Information propagation in long-range quantum many-body systems.

Local enhancement of the mean-field approximation for bosons Information propagation in long-range quantum many-body systems

Reference 34

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source=arxiv_source observed=2026-08-11T12:49:42.777349Z digest=sha256:e6a4b6c676ee8fc6a17e8e72680eccbe8b5fb7df695ea7dd8bd675e3d00d0161

Observation 91b57746-152b-497f-b965-3d0931320e97 · outbound

This paper cites On the microscopic propagation speed of long-range quantum many-body systems.

Local enhancement of the mean-field approximation for bosons On the microscopic propagation speed of long-range quantum many-body systems

Reference 35

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unresolved
no resolver link, observed 2026-08-11T12:49:42.781560Z

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source=arxiv_source observed=2026-08-11T12:49:42.781560Z digest=sha256:154530541d3f229982f4236eae8a20d4a48597f0d4d5e5d89e9b41bc6ae20d52

Observation 37ccceb1-a8c1-41e8-9199-7f39025a6e31 · outbound

This paper cites Strong semiclassical limits from H artree and H artree-- F ock to V lasov-- P oisson equations.

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

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raw_fallback, observed 2026-08-11T12:49:43.141755Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T12:49:42.787322Z digest=sha256:8dd7746230bad2e9f720b0e55ec43799a0c724c62fd2d497ff0a0f0617b55cd9

Observation e30d8992-060b-450d-9ca3-aaadbb659564 · outbound

This paper cites Bogoliubov corrections and trace norm convergence for the H artree dynamics.

Local enhancement of the mean-field approximation for bosons Bogoliubov corrections and trace norm convergence for the H artree dynamics

Reference 37

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verified fuzzy
raw_fallback, observed 2026-08-11T12:49:43.126879Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T12:49:42.792244Z digest=sha256:9b06f69490be1d60a81040f54e433640609be1b7a054e20abf4646ed1426e135

Observation e7ddcfef-6519-4182-947a-91b62d9e08e4 · outbound

This paper cites Dynamics of interacting bosons: a compact review.

Local enhancement of the mean-field approximation for bosons Dynamics of interacting bosons: a compact review

Reference 38

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verified fuzzy
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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T12:49:42.796959Z digest=sha256:144ab8115e037b2fed9a848feaad3c1fc6e37868e38e0bbad0460fc2e1e1bbb0

Observation 29129b68-3ae9-4462-b272-b6f816f7f785 · outbound

This paper cites Bogoliubov correction to the mean-field dynamics of interacting bosons.

Local enhancement of the mean-field approximation for bosons Bogoliubov correction to the mean-field dynamics of interacting bosons

Reference 39

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verified fuzzy
raw_fallback, observed 2026-08-11T12:49:43.096037Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T12:49:42.801946Z digest=sha256:33103a676bca1d7b01325d51856c44c7cd4bbcef51514d6d68c9eadb67515394

Observation cc95bdd6-cb11-4ad3-abf9-f01ba920f3b8 · outbound

This paper cites Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems.

Local enhancement of the mean-field approximation for bosons Lieb-Robinson Bounds for Harmonic and Anharmonic Lattice Systems

Reference 40

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unresolved
no resolver link, observed 2026-08-11T12:49:42.806829Z

Source-reported events for the cited work

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source=arxiv_source observed=2026-08-11T12:49:42.806829Z digest=sha256:16f6a2d8adca2891c270187f65ea5270c9cf0904f1aa66bd79f1c73117ccccc0

Observation 4de1bf95-155b-4ae0-a98b-3277e9460948 · outbound

This paper cites A simple derivation of mean field limits for quantum systems.

Local enhancement of the mean-field approximation for bosons A simple derivation of mean field limits for quantum systems

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:49:43.079284Z

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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=arxiv_source observed=2026-08-11T12:49:42.812032Z digest=sha256:88fbc8bc01ab5ee667812634891904e29056f407c8724f783eba93002e04ceaa

Observation 242f2bd1-1a74-4c5c-93ed-3c69e46c71bf · outbound

This paper cites Quantum fluctuations and rate of convergence towards mean field dynamics.

Local enhancement of the mean-field approximation for bosons Quantum fluctuations and rate of convergence towards mean field dynamics

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:49:43.062206Z

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.

source=arxiv_source observed=2026-08-11T12:49:42.816860Z digest=sha256:e47351bc8d1c85941767b45c5333f7ae378b367530519eaae871dd22440d14cc

Observation 678338ec-cee8-4474-bbc7-b7e1a0ea2821 · outbound

This paper cites L arge deviation estimates for weakly interacting bosons.

Local enhancement of the mean-field approximation for bosons L arge deviation estimates for weakly interacting bosons

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:49:43.046441Z

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.

source=arxiv_source observed=2026-08-11T12:49:42.821506Z digest=sha256:7542cf8a2fb35ff254d4c9bdc91bc522cbc4b1bfdf1e2b4d1f55ff7bbf99fbb4

Observation a9c096cd-a6f0-4723-8477-ed8c7110ffe0 · outbound

This paper cites Information propagation for interacting-particle systems.

Local enhancement of the mean-field approximation for bosons Information propagation for interacting-particle systems

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:49:43.029634Z

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.

source=arxiv_source observed=2026-08-11T12:49:42.826858Z digest=sha256:e1c6fd1a1c628b17f4b2328883be8e242cfa515bc66342de85e2b2f2f03457d1

Observation 5cc96694-4312-43ca-8ce1-d5f8e6c27bbd · outbound

This paper cites Asymptotic behaviour of small solutions for the discrete nonlinear Schr\"odinger and Klein-Gordon equations.

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:49:43.013442Z

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.

source=arxiv_source observed=2026-08-11T12:49:42.832834Z digest=sha256:f6fdfed0acbe0343feb2223ded963e8994813913dfba279a2bd4bc36270cc1e9

Observation 3ef7daef-dd0b-4de8-a608-4b9bdeb2625a · outbound

This paper cites Finite speed of quantum information in models of interacting bosons at finite density.

Local enhancement of the mean-field approximation for bosons Finite speed of quantum information in models of interacting bosons at finite density

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T12:49:42.997036Z

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.

source=arxiv_source observed=2026-08-11T12:49:42.837632Z digest=sha256:2a544440f63298a05db6cf20ab555b6f80baa7b71b749af564fdf0c72a73b3c3

Observation e812fc9a-6142-47c6-8e57-de18333aa25f · outbound

This paper cites Spectral localization estimates for abstract linear Schr\"odinger equations.

Local enhancement of the mean-field approximation for bosons Spectral localization estimates for abstract linear Schr\"odinger equations

Reference 47

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:49:42.915119Z

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.

source=arxiv_source observed=2026-08-11T12:49:42.842619Z digest=sha256:129dcc7bda20dc3e7f7c48000a07df0df7c3a58a8e0d728e890f33f9417f4294

Observation 49158d71-54ec-4a69-88cb-b2e886228e51 · outbound

This paper cites Upper bounds in non-autonomous quantum dynamics.

Local enhancement of the mean-field approximation for bosons Upper bounds in non-autonomous quantum dynamics

Reference 48

Resolution
verified exact
local_arxiv, observed 2026-08-11T12:49:42.891417Z

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.

source=arxiv_source observed=2026-08-11T12:49:42.847871Z digest=sha256:3a97f66cc9f8387db9ea44e0508cf97ae260d8661c46951f06788c548294ce28

Pith citing papers

No inbound Pith citation observations are available.