Paper Citation Record · LEDGER

Scattering for the positive density Hartree equation

As of 22 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 5 inbound Pith citation observations for arXiv:2504.19552.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2504.19552 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T05:59:31.328246Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T12:02:29.060377Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-29T07:23:13.495420Z

Reference resolution

40 of 40 outbound references displayed

verified exact2
verified fuzzy25
unresolved13
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1264e1e4-67af-4e8c-9089-86b0d23fa596 · outbound

This paper cites Bedrossian, N.

Scattering for the positive density Hartree equation Bedrossian, N

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.874820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6898f38a-fcdd-4239-adc8-062991e6678f · outbound

This paper cites an unresolved cited work.

Scattering for the positive density Hartree equation Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-16T05:59:31.185925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f60e742-7eac-4876-ab19-7f6e901f06bd · outbound

This paper cites Bhatia and F.

Scattering for the positive density Hartree equation Bhatia and F

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.856357Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c76d8c6a-7f33-4816-bc8d-10145b544939 · outbound

This paper cites an unresolved cited work.

Scattering for the positive density Hartree equation Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:59:31.845921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 15cbfc0f-542c-456e-8287-bf4a23dac890 · outbound

This paper cites an unresolved cited work.

Scattering for the positive density Hartree equation Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:59:31.833417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9fb452ab-f717-42c2-a1aa-593c51ce5031 · outbound

This paper cites Cazenave and F.

Scattering for the positive density Hartree equation Cazenave and F

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.820590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 54931c2a-d983-45bd-8c36-27ca41e8b51d · outbound

This paper cites Chadam , The time-dependent Hartree-Fock equations with Coulomb tw o-body interaction, Commun.

Scattering for the positive density Hartree equation Chadam , The time-dependent Hartree-Fock equations with Coulomb tw o-body interaction, Commun

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.809360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 27952c25-4eec-4b29-9761-3094227dd32e · outbound

This paper cites an unresolved cited work.

Scattering for the positive density Hartree equation Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:59:31.797865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 597bafd6-5e4f-48d9-98ba-3b83a6c33d62 · outbound

This paper cites an unresolved cited work.

Scattering for the positive density Hartree equation Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:59:31.787093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e8b5aec5-6675-4cde-8b90-15003e4ca74e · outbound

This paper cites Christ and A.

Scattering for the positive density Hartree equation Christ and A

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.774875Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation bae2249d-6f46-4b06-9756-936d801e192d · outbound

This paper cites Stability of homogeneous equilibria of the Hartree-Fock equation, for its equivalent formulation for random fields.

Scattering for the positive density Hartree equation Stability of homogeneous equilibria of the Hartree-Fock equation, for its equivalent formulation for random fields

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:59:31.461810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 71a6eed2-09a3-422d-939a-bcf9639b972e · outbound

This paper cites Collot and A.-S.

Scattering for the positive density Hartree equation Collot and A.-S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.764960Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2ae87013-57e9-45dc-b37e-13b4fb033b8a · outbound

This paper cites Collot and A.-S.

Scattering for the positive density Hartree equation Collot and A.-S

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.753162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fab8d87c-4b58-4235-868c-e9c4aec86170 · outbound

This paper cites D’Ancona, V.

Scattering for the positive density Hartree equation D’Ancona, V

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.741504Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9c343c07-8f6b-4e0e-a610-20627767fac0 · outbound

This paper cites Fefferman and E.

Scattering for the positive density Hartree equation Fefferman and E

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.730344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a721f617-33f2-431a-aaf5-de2aa60788fe · outbound

This paper cites an unresolved cited work.

Scattering for the positive density Hartree equation Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-16T05:59:31.240649Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac4bfd52-8b43-4541-b09a-d21fdac487e1 · outbound

This paper cites an unresolved cited work.

Scattering for the positive density Hartree equation Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:59:31.709943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 00419cb6-4214-400f-80ab-041dcf111d2e · outbound

This paper cites Ginibre and G.

Scattering for the positive density Hartree equation Ginibre and G

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.699135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation fb849cdd-8746-4047-a43f-7a64546560d3 · outbound

This paper cites Giuliani and G.

Scattering for the positive density Hartree equation Giuliani and G

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.687904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f13cde71-dfc9-4e5c-8bb1-04257c2c7ba9 · outbound

This paper cites Grafakos , Classical Fourier analysis , vol.

Scattering for the positive density Hartree equation Grafakos , Classical Fourier analysis , vol

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.672390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation dfb0552a-1ba3-43ec-a077-edda2117f129 · outbound

This paper cites an unresolved cited work.

Scattering for the positive density Hartree equation Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-16T05:59:31.258674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 519082ea-5b49-429a-b60a-a73593c04d40 · outbound

This paper cites Han-Kwan, T.

Scattering for the positive density Hartree equation Han-Kwan, T

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.653247Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8dd94515-b37f-4082-9812-0870a94a3b36 · outbound

This paper cites an unresolved cited work.

Scattering for the positive density Hartree equation Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:59:31.636152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e380ea3b-7b9b-473b-960d-56e248c50608 · outbound

This paper cites an unresolved cited work.

Scattering for the positive density Hartree equation Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-16T05:59:31.620520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 13c3c5c6-cdbc-45c8-a25f-0b89eded7bf3 · outbound

This paper cites Landau , On the vibrations of the electronic plasma , in Collected Papers of L.D.

Scattering for the positive density Hartree equation Landau , On the vibrations of the electronic plasma , in Collected Papers of L.D

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.609295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 8ec5e29a-eefe-4e68-a421-574e1099e842 · outbound

This paper cites Lewin and J.

Scattering for the positive density Hartree equation Lewin and J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.597465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a1e3975d-dbe8-4918-9d57-c2166dff9228 · outbound

This paper cites Lewin and J.

Scattering for the positive density Hartree equation Lewin and J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.585481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ca4e0725-4806-4a87-bf70-2b5432708fb5 · outbound

This paper cites Lewin and J.

Scattering for the positive density Hartree equation Lewin and J

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.574286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c8befdbb-630a-4102-b205-520bf07b4c50 · outbound

This paper cites Li , On Kato-Ponce and fractional Leibniz , Rev.

Scattering for the positive density Hartree equation Li , On Kato-Ponce and fractional Leibniz , Rev

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.562963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 33753549-ee62-4439-980a-2b118357e72d · outbound

This paper cites A Scattering Result Around a Non-Localised Equilibria for the Quintic Hartree Equation for Random Fields.

Scattering for the positive density Hartree equation A Scattering Result Around a Non-Localised Equilibria for the Quintic Hartree Equation for Random Fields

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-16T05:59:31.390718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 742ad7be-0d8b-4696-b137-d8b586908fc8 · outbound

This paper cites Mouhot and C.

Scattering for the positive density Hartree equation Mouhot and C

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.547178Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 197197d5-cdaf-448e-a117-2aa352fe5d0f · outbound

This paper cites Plasmons for the Hartree equations with Coulomb interaction.

Scattering for the positive density Hartree equation Plasmons for the Hartree equations with Coulomb interaction

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-16T05:59:31.298743Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dc081438-1583-442b-8252-38b147d7856b · outbound

This paper cites Penrose , Electrostatic instabilities of a uniform non-maxwellian p lasma, The Physics of Fluids, 3 (1960), pp.

Scattering for the positive density Hartree equation Penrose , Electrostatic instabilities of a uniform non-maxwellian p lasma, The Physics of Fluids, 3 (1960), pp

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.533788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 96d55430-066d-49ab-a0f9-ce41677492c4 · outbound

This paper cites Rudin , Real and complex analysis , McGraw-Hill Book Co., New York, third ed., 1987.

Scattering for the positive density Hartree equation Rudin , Real and complex analysis , McGraw-Hill Book Co., New York, third ed., 1987

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.522238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation a943a02f-0756-4513-aae8-5a26c3f2c299 · outbound

This paper cites Phase mixing for the Hartree equation and Landau damping in the semiclassical limit.

Scattering for the positive density Hartree equation Phase mixing for the Hartree equation and Landau damping in the semiclassical limit

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-16T05:59:31.310129Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7a3c908e-843d-43ac-b693-504acb305275 · outbound

This paper cites Strichartz, Restrictions of Fourier transforms to quadratic surfaces a nd decay of solutions of wave equations, Duke Math.

Scattering for the positive density Hartree equation Strichartz, Restrictions of Fourier transforms to quadratic surfaces a nd decay of solutions of wave equations, Duke Math

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.510473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 72d21ea7-8120-4d7b-a1a7-1f081321f103 · outbound

This paper cites Tao, Spherically averaged endpoint Strichartz estimates for th e two-dimensional Schr¨ odinger equa- tion, Communications in Partial Diﬀerential Equations, 25 (2000), pp.

Scattering for the positive density Hartree equation Tao, Spherically averaged endpoint Strichartz estimates for th e two-dimensional Schr¨ odinger equa- tion, Communications in Partial Diﬀerential Equations, 25 (2000), pp

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.497692Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 092ff468-ee18-47e4-a0d1-2c0defba6854 · outbound

This paper cites Yajima, Existence of solutions for Schr¨ odinger evolution equations, Comm.

Scattering for the positive density Hartree equation Yajima, Existence of solutions for Schr¨ odinger evolution equations, Comm

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.485128Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 935c1ba8-0b2a-4d9e-89da-ab0467f20dce · outbound

This paper cites Phase mixing estimates for the nonlinear Hartree equation of infinite rank.

Scattering for the positive density Hartree equation Phase mixing estimates for the nonlinear Hartree equation of infinite rank

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-16T05:59:31.324459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c7ffb991-c124-45ef-93dd-a6665e4fca12 · outbound

This paper cites Zagatti , The Cauchy problem for Hartree-Fock time-dependent equati ons, Ann.

Scattering for the positive density Hartree equation Zagatti , The Cauchy problem for Hartree-Fock time-dependent equati ons, Ann

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T05:59:31.472643Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

Observation adc2c3a4-f7ad-4887-bd06-5ab28666a6d7 · inbound

Phase mixing for the Hartree equation and Landau damping in the semiclassical limit cites this paper.

Phase mixing for the Hartree equation and Landau damping in the semiclassical limit Scattering for the positive density Hartree equation

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T12:02:29.060377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bfec2f5f-60ce-4869-bad6-a700bb4a3f65 · inbound

Large Time Behavior of the Klein-Gordon-Schr\"{o}dinger system cites this paper.

Large Time Behavior of the Klein-Gordon-Schr\"{o}dinger system Scattering for the positive density Hartree equation

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-07T04:46:15.938307Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93e4c31c-78b1-4d74-b601-3ce9ba5d5b5b · inbound

Applications of renormalisation to orthonormal Strichartz estimates and the NLS system on the circle cites this paper.

Applications of renormalisation to orthonormal Strichartz estimates and the NLS system on the circle Scattering for the positive density Hartree equation

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T17:09:19.788356Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d89aa3d0-d8ab-4270-83cc-54cd3fc0eef4 · inbound

Modified Scattering for the Time-Dependent Kohn--Sham Equation cites this paper.

Modified Scattering for the Time-Dependent Kohn--Sham Equation Scattering for the positive density Hartree equation

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-06-29T07:23:13.496780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 24587180-5f9c-4f91-a001-2de45bc61c4e · inbound

The semiclassical limit from Hartree to Vlasov at positive density: strong uniform-in-time convergence and scattering cites this paper.

The semiclassical limit from Hartree to Vlasov at positive density: strong uniform-in-time convergence and scattering Scattering for the positive density Hartree equation

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-01T04:42:36.342753Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.