Paper Citation Record · LEDGER

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment

As of 18 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 2 inbound Pith citation observations for arXiv:2505.02992.

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

pith.paper-citation-record.v1
2505.02992 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:46:28.939995Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T05:22:16.953238Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T09:46:50.381569Z

Reference resolution

37 of 37 outbound references displayed

verified exact1
verified fuzzy35
unresolved1
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 170fe723-b904-4d7a-89e0-56c112613eba · outbound

This paper cites Critical thresholds i n 1D pressureless Euler–Poisson systems with variable background.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Critical thresholds i n 1D pressureless Euler–Poisson systems with variable background

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.501344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5cea70e5-7b1c-4585-89c4-91aac1377e71 · outbound

This paper cites Critical thresholds i n one-dimensional damped Euler–Poisson systems.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Critical thresholds i n one-dimensional damped Euler–Poisson systems

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.487224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 11813e91-7f42-4769-85d5-fa464737fa50 · outbound

This paper cites Critic al thresholds in the Euler-Poisson-alignment system.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Critic al thresholds in the Euler-Poisson-alignment system

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.472996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2ebb729a-3965-4402-8eca-02aa3cd856ed · outbound

This paper cites Sticky particle dynamics with interactions.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Sticky particle dynamics with interactions

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.459831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 237a84f6-4ce6-4437-bac2-5a680870c918 · outbound

This paper cites Critical thresholds in 1D Euler equations with non-local forces.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Critical thresholds in 1D Euler equations with non-local forces

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.446009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 89dc9892-c9b5-4e41-96a9-9326222c7734 · outbound

This paper cites Equivalence of entropy solutions and gradient flows for pressureless 1D Euler systems.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Equivalence of entropy solutions and gradient flows for pressureless 1D Euler systems

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-16T00:46:28.801451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 08793140-792e-48f3-be0a-8d825f0b4cd7 · outbound

This paper cites Existence of radial glob al smooth solutions to the pressureless Euler– Poisson equations with quadratic conﬁnement.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Existence of radial glob al smooth solutions to the pressureless Euler– Poisson equations with quadratic conﬁnement

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.432741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d0109a51-f3d9-41fc-b714-a0d7e8ee0825 · outbound

This paper cites On the global clas sical solution to compressible Euler system with singular velocity alignment.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment On the global clas sical solution to compressible Euler system with singular velocity alignment

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.418745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c1489a9a-1c33-4859-8b16-b6d3c615aaa3 · outbound

This paper cites The global Cauchy problem for compressi ble Euler equations with a nonlocal dissipation.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment The global Cauchy problem for compressi ble Euler equations with a nonlocal dissipation

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.405016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation dfa8b6f4-fe61-4d37-99b9-89f9b143264a · outbound

This paper cites Critical thresholds in pressureless Euler--Poisson equations with background states.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Critical thresholds in pressureless Euler--Poisson equations with background states

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-16T00:46:28.981761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation fb714163-460a-4eea-90b4-c67adfc6eb57 · outbound

This paper cites Entropy hierarchies for equations of com- pressible ﬂuids and self-organized dynamics.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Entropy hierarchies for equations of com- pressible ﬂuids and self-organized dynamics

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.390670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2afd6dc6-3282-4209-8656-efd48a2ad292 · outbound

This paper cites Emergent behavior in ﬂoc ks.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Emergent behavior in ﬂoc ks

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.376970Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation bdf1567f-1bb9-4a5d-a22e-99297ae9fa8d · outbound

This paper cites Global regularity for the fractional Euler alignment system.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Global regularity for the fractional Euler alignment system

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.363130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 67fae893-2b27-415a-8d19-df679389515d · outbound

This paper cites Crit ical thresholds in Euler-Poisson equations.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Crit ical thresholds in Euler-Poisson equations

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.349012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation be5171ad-925c-44ac-af3d-c93fed216348 · outbound

This paper cites The sticky particle dynamics of the 1D pressureless Euler-alignment system as a gradient ﬂow.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment The sticky particle dynamics of the 1D pressureless Euler-alignment system as a gradient ﬂow

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.335141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e03da5d2-79a2-46ba-9da7-780a34d77d12 · outbound

This paper cites E uler–Poisson systems as action-minimizing paths in the Wasserstein space.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment E uler–Poisson systems as action-minimizing paths in the Wasserstein space

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.321013Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 569f4a58-7520-49eb-9f6d-11cd85fd8b2a · outbound

This paper cites Smooth irrotational ﬂows in the large to the Eul er–Poisson system in R3+1.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Smooth irrotational ﬂows in the large to the Eul er–Poisson system in R3+1

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.306984Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 266d2e42-ceca-4488-88fb-f6f52040b8b3 · outbound

This paper cites Global smooth ion dynamics in the Euler-Poisson system.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Global smooth ion dynamics in the Euler-Poisson system

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.293171Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f35add6e-bcaf-4509-bb12-3b48fff79d1e · outbound

This paper cites Global regularity of two-di mensional ﬂocking hydrodynamics.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Global regularity of two-di mensional ﬂocking hydrodynamics

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.278852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f8945601-79f1-4d35-bbdd-40800e26441e · outbound

This paper cites Commutator estimates and the Euler and Navier-Stokes equations.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Commutator estimates and the Euler and Navier-Stokes equations

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.264882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 61edce46-4f2e-4f76-8ed9-f6fcf3976a65 · outbound

This paper cites Global regularity for 1D Eulerian dynamics with singular interaction forces.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Global regularity for 1D Eulerian dynamics with singular interaction forces

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.250586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b86d9373-c8b9-4449-a855-09930c1b4cd0 · outbound

This paper cites Unidirectional ﬂocks i n hydrodynamic Euler alignment system II: singular models.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Unidirectional ﬂocks i n hydrodynamic Euler alignment system II: singular models

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.235530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7398137d-1973-4a08-a949-2b93d33c3ed4 · outbound

This paper cites Existence and stabilit y of unidirectional ﬂocks in hydrodynamic Euler alignment systems.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Existence and stabilit y of unidirectional ﬂocks in hydrodynamic Euler alignment systems

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.221318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 858c5b56-f8e8-482b-80d6-bfccbe351329 · outbound

This paper cites Weak and strong solutions to the forced fractional Euler alignment system.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Weak and strong solutions to the forced fractional Euler alignment system

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.207119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 201123b1-e641-484d-b565-e1606bfa63c9 · outbound

This paper cites On the Lagrangian trajectories for the one-dimensional Euler alignment model without vacuum velocity.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment On the Lagrangian trajectories for the one-dimensional Euler alignment model without vacuum velocity

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.192200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7e621ff9-d4fe-4cd7-a3d8-2bc331b430d7 · outbound

This paper cites Sticky particle Cucke r-Smale dynamics and the entropic selection principle for the 1D Euler-alignment system.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Sticky particle Cucke r-Smale dynamics and the entropic selection principle for the 1D Euler-alignment system

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.178394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation e39346c3-089f-4b22-8de9-fed7166dc3c4 · outbound

This paper cites Finite-and inﬁnite-t ime cluster formation for alignment dynamics on the real line.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Finite-and inﬁnite-t ime cluster formation for alignment dynamics on the real line

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.164271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 668d2f71-4b79-4fb1-a115-e5746e598704 · outbound

This paper cites G lobal well-posedness and reﬁned regular- ity criterion for the uni-directional Euler-alignment sys tem.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment G lobal well-posedness and reﬁned regular- ity criterion for the uni-directional Euler-alignment sys tem

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.149839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 803c7280-06e9-40b4-a016-5bbf4aaea50a · outbound

This paper cites A Wasserstein approa ch to the one-dimensional sticky particle system.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment A Wasserstein approa ch to the one-dimensional sticky particle system

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.135283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation dd8f34a2-7922-4b95-abe3-0b18159fe52c · outbound

This paper cites The repulsive Euler–Poisson equation s with variable doping proﬁle.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment The repulsive Euler–Poisson equation s with variable doping proﬁle

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.120478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 241fea31-3d3c-419d-9999-e50338173bbf · outbound

This paper cites Eulerian dynamics wit h a commutator forcing.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Eulerian dynamics wit h a commutator forcing

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.105579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 05b4e629-315d-40b0-920d-55ccc6f077a6 · outbound

This paper cites Critical thresholds in 2 D restricted Euler-Poisson equations.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Critical thresholds in 2 D restricted Euler-Poisson equations

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.090554Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 0526053b-f46b-4d26-9c98-0150d726dc1c · outbound

This paper cites Critical thresholds in ﬂ ocking hydrodynamics with non-local alignment.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Critical thresholds in ﬂ ocking hydrodynamics with non-local alignment

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.073963Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 07560b0d-2750-4466-9f64-bdb92da493f4 · outbound

This paper cites On the global regularity of subcritical Euler–Poisson equations with pressure.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment On the global regularity of subcritical Euler–Poisson equations with pressure

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.059143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f223a805-b4aa-44a1-8039-47140d7241e0 · outbound

This paper cites On the Euler-alignment system with weakl y singular communication weights.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment On the Euler-alignment system with weakl y singular communication weights

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.043540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 85c9d963-8831-45d5-92ae-d966dd7a1898 · outbound

This paper cites Eulerian dynamics in multidimensions wi th radial symmetry.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Eulerian dynamics in multidimensions wi th radial symmetry

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.028901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1b4335af-c7e0-4763-9cfc-cf67fc34f3c2 · outbound

This paper cites Critical t hresholds in multi-dimensional Euler-Poisson equations with radial symmetry.

On the Euler-Poisson equations with variable background states and nonlocal velocity alignment Critical t hresholds in multi-dimensional Euler-Poisson equations with radial symmetry

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T00:46:29.014464Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

Observation b6e6b3a7-efb0-4709-9707-a6af516de76d · inbound

Lagrangian formulation and Eulerian closure in alignment dynamics cites this paper.

Lagrangian formulation and Eulerian closure in alignment dynamics On the Euler-Poisson equations with variable background states and nonlocal velocity alignment

Reference 62

Resolution: verified exact; arxiv_id, observed 2026-05-11T09:41:01.288019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c8352a60-67bc-497b-868d-ba72e584fe32 · inbound

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions cites this paper.

Entropic solutions to the 1D pressureless Euler system with nonlocal interactions On the Euler-Poisson equations with variable background states and nonlocal velocity alignment

Reference 32

Resolution: verified exact; arxiv_id, observed 2026-07-02T09:46:50.383270Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.