Paper Citation Record · LEDGER

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field

As of 10 August 2026, this Paper Citation Record lists 51 of 51 outbound references and 0 inbound Pith citation observations for arXiv:2603.27887.

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pith.paper-citation-record.v1
2603.27887 v2

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measured 51 of 51 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-02T17:15:59.843163Z

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-10T06:31:04.303077+00:00

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Outbound references

Observation d9a4098b-5a68-4ff1-afea-afef3153e8e1 · outbound

This paper cites an unresolved cited work.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Unresolved cited work

Reference 1

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Observation e630248e-7a8e-4b92-bcb9-a24157629849 · outbound

This paper cites an unresolved cited work.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Unresolved cited work

Reference 2

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Observation b2f0d9ec-5282-4d25-b78e-f50bbcfc83ef · outbound

This paper cites an unresolved cited work.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Unresolved cited work

Reference 3

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Observation 22074315-c56a-4b9f-881a-fbb19d912f82 · outbound

This paper cites an unresolved cited work.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Unresolved cited work

Reference 4

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Observation a830cc25-f2ae-46cf-bda5-b62b4aaca3b1 · outbound

This paper cites an unresolved cited work.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Unresolved cited work

Reference 5

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Observation 494cd22f-a815-41b8-8524-2081292bcb55 · outbound

This paper cites an unresolved cited work.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Unresolved cited work

Reference 6

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Observation 97c6d5cb-425f-4e73-8985-793b386b62cd · outbound

This paper cites an unresolved cited work.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Unresolved cited work

Reference 7

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Observation 243c074b-b18c-48ae-b2e4-26588385fbaf · outbound

This paper cites (B14) and (B20), the general condition be- comes 2 r c4s + ρ0κ δg −c 2 s <min{k 2 micro,4c 2 sδq}.(B25).

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field (B14) and (B20), the general condition be- comes 2 r c4s + ρ0κ δg −c 2 s <min{k 2 micro,4c 2 sδq}.(B25)

Reference 8

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Observation ab05b9aa-fd7e-40c5-9f69-c8e015421859 · outbound

This paper cites (B24) becomes k2 min(δg)<4c 2 sδq.(B28) Substituting Eq.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field (B24) becomes k2 min(δg)<4c 2 sδq.(B28) Substituting Eq

Reference 9

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Observation 695a27c3-bc45-4534-b3a8-8821c22eb475 · outbound

This paper cites (B23) becomes k2 min(δg)< k2 micro.(B39) Substituting Eq.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field (B23) becomes k2 min(δg)< k2 micro.(B39) Substituting Eq

Reference 10

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Observation 3d93a7cd-9ba4-4d6c-8693-7690439ade88 · outbound

This paper cites Using Eq.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Using Eq

Reference 11

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Observation 15462473-d65d-4bf6-8d55-52d325b9af05 · outbound

This paper cites (B1) or Eq.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field (B1) or Eq

Reference 12

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Observation 8c986b70-adf6-4619-a9f8-c945e1b3ed87 · outbound

This paper cites an unresolved cited work.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Unresolved cited work

Reference 13

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Observation 15cc62c9-2b1b-4eb3-afe0-69290378be41 · outbound

This paper cites an unresolved cited work.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Unresolved cited work

Reference 14

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Observation 43e022c8-4d82-4ba6-8cb4-c1ae72249f65 · outbound

This paper cites (C10) into Eq.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field (C10) into Eq

Reference 15

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Observation 2ff77928-fdce-4b38-b149-c33e08552efb · outbound

This paper cites (C10) into Eq.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field (C10) into Eq

Reference 16

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Observation 798e38c7-dcb4-4592-a54b-e3745c171573 · outbound

This paper cites (C15) and (C19).

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field (C15) and (C19)

Reference 17

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Observation 3b752ae1-e472-42c2-8da7-387727f66b2e · outbound

This paper cites an unresolved cited work.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Unresolved cited work

Reference 18

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Observation c90ab0fd-cab4-49bf-94ad-bc014eecc788 · outbound

This paper cites an unresolved cited work.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Unresolved cited work

Reference 19

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Observation c13ce9eb-5256-427e-a674-0e670e2f8cd9 · outbound

This paper cites (C34) into Eq.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field (C34) into Eq

Reference 20

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Observation c044240d-da62-491a-90b6-b8af90ff4a08 · outbound

This paper cites Thus, the conditional KPZ reduction of Sec.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Thus, the conditional KPZ reduction of Sec

Reference 21

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Observation 28cf6ee2-af1c-44ab-8658-1cb245717eb0 · outbound

This paper cites Bertone, D.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Bertone, D

Reference 22

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Observation d73a0cd1-7969-44e8-9bf1-bc4195ab370a · outbound

This paper cites an unresolved cited work.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Unresolved cited work

Reference 23

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Observation 69afd6b5-592d-4d25-8733-45bbf6b7f86e · outbound

This paper cites an unresolved cited work.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Unresolved cited work

Reference 24

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Observation 88d6f8be-eb65-4546-bee2-54765e8686d4 · outbound

This paper cites an unresolved cited work.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Unresolved cited work

Reference 25

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Observation 00c74855-fb4d-4542-b1a2-f2276466fdc5 · outbound

This paper cites Su´ arez, V.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Su´ arez, V

Reference 26

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Observation f99b54ae-fe02-4489-8758-5db9e398c576 · outbound

This paper cites Schive, T.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Schive, T

Reference 27

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Observation 4ed5eb20-043d-4e59-892e-49a54c0f6546 · outbound

This paper cites an unresolved cited work.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Unresolved cited work

Reference 28

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Observation 33ecaf9d-3113-466f-9ba2-d7899336eed4 · outbound

This paper cites Chavanis, Phys.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Chavanis, Phys

Reference 29

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Observation 252e6690-d6f4-4242-84b9-d8a7dab2dccf · outbound

This paper cites Dynamical Scaling of Matter Density Correlations in the Universe: an Application of the Dynamical Renormalization Group.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Dynamical Scaling of Matter Density Correlations in the Universe: an Application of the Dynamical Renormalization Group

Reference 30

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Observation a5b72401-0655-4b2d-804e-1a03cf82c9c1 · outbound

This paper cites Gaite and A.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Gaite and A

Reference 31

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Observation 287b8ab3-7466-4ecf-b69a-4c48a1e6606b · outbound

This paper cites Kulkarni, D.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Kulkarni, D

Reference 32

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Observation b9e3f724-e95a-4d04-9364-602fa22a0109 · outbound

This paper cites Spohn, Journal of Statistical Physics154, 1191 (2014).

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Spohn, Journal of Statistical Physics154, 1191 (2014)

Reference 33

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Observation e505c201-4ccf-48f4-87bc-d0bd1b95a567 · outbound

This paper cites van Beijeren, Phys.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field van Beijeren, Phys

Reference 34

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Observation adaee886-fd3d-4f88-9860-c055942b10e6 · outbound

This paper cites Shukla, Phys.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Shukla, Phys

Reference 35

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Observation e3796dec-7a3e-45e1-8b1a-6f6ee3681044 · outbound

This paper cites Carusotto and C.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Carusotto and C

Reference 36

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Observation 18a47447-6086-489e-a497-999f5f7c6fe5 · outbound

This paper cites Altman, L.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Altman, L

Reference 37

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Observation 338620c5-084e-4c19-907a-c3d1260cbe63 · outbound

This paper cites Fontaineet al., Nature608, 687 (2022).

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Fontaineet al., Nature608, 687 (2022)

Reference 38

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Observation 51ecf405-96ae-47e3-930d-75452cacb08c · outbound

This paper cites Kardar, G.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Kardar, G

Reference 39

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Observation 6bb4a67b-a65b-412f-9981-bd59f780bd8a · outbound

This paper cites The Kardar-Parisi-Zhang equation and universality class.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field The Kardar-Parisi-Zhang equation and universality class

Reference 40

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Observation 1308c726-7e35-48b9-b7c1-70fb6af69ac3 · outbound

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Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Unresolved cited work

Reference 41

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Observation 009afb86-41f1-4b8c-bd52-90c5ab31a888 · outbound

This paper cites an unresolved cited work.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Unresolved cited work

Reference 42

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Observation 6df1ddeb-0f88-4a2c-be77-b1351098c04b · outbound

This paper cites Transversal fluctuations for increasing subsequences on the plane.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Transversal fluctuations for increasing subsequences on the plane

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-02T17:15:59.818133Z

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Observation ec5c081e-3afe-4158-9b26-f04a4474292f · outbound

This paper cites Borodin, P.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Borodin, P

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-02T17:15:59.821322Z

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Observation e0a459e5-4652-4c39-8426-1009092431dd · outbound

This paper cites Ferrari and H.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Ferrari and H

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-02T17:15:59.824050Z

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Observation f0c376ac-4b31-463f-a380-3a6b20084da2 · outbound

This paper cites an unresolved cited work.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Unresolved cited work

Reference 46

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Observation b8022c63-3196-4a4a-8f4a-09b904aef5c6 · outbound

This paper cites Johansson, Communications in Mathematical Physics 209, 437 (2000).

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Johansson, Communications in Mathematical Physics 209, 437 (2000)

Reference 47

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Observation 3e88f307-6f48-4b6d-94bf-e3229ff29849 · outbound

This paper cites Pr¨ ahofer and H.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Pr¨ ahofer and H

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-02T17:15:59.833372Z

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Observation 5dabc0ba-0fa7-4608-a363-d0e7d46c9067 · outbound

This paper cites Level-Spacing Distributions and the Airy Kernel.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Level-Spacing Distributions and the Airy Kernel

Reference 49

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Observation e7ba02cd-61df-4e09-8ddd-7e8fd84f7c7b · outbound

This paper cites On Orthogonal and Symplectic Matrix Ensembles.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field On Orthogonal and Symplectic Matrix Ensembles

Reference 50

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Observation 64980109-3170-4324-8e42-b73b2e8d0952 · outbound

This paper cites Limiting distributions for a polynuclear growth model with external sources.

Long-wavelength amplification of an NLS conserved-charge violation in a one-dimensional Gross-Pitaevskii-Poisson field Limiting distributions for a polynuclear growth model with external sources

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-02T17:15:59.843163Z

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