Paper Citation Record · LEDGER

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal

As of 17 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2607.08992.

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

pith.paper-citation-record.v1
2607.08992 v1

Coverage vector

measured 22 of 22 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-13T01:12:08.475907Z

measured 22 of 22 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

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Reference resolution

22 of 22 outbound references displayed

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External citation measurements

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Outbound references

Observation 0b5cdb47-de0a-42b0-8327-982aaab0c271 · outbound

This paper cites Bose–Einstein condensation for general dispersion rela- tions.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Bose–Einstein condensation for general dispersion rela- tions

Reference 1

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dcf3f5e4-8bb1-4503-bf73-c5c61b249de2 · outbound

This paper cites Inves- tigation of Bose Condensation in Ideal Bose Gas Trapped under Generic Power Law Potential indDimension.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Inves- tigation of Bose Condensation in Ideal Bose Gas Trapped under Generic Power Law Potential indDimension

Reference 2

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Observation 64daf354-8271-43d7-8fce-106acc90de8a · outbound

This paper cites Bose- Einstein condensation in an external potential.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Bose- Einstein condensation in an external potential

Reference 3

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Observation 33c9bd7e-75c6-4f1d-8337-7c542b828cfc · outbound

This paper cites Bose gas with generalized dispersion relation plus an en- ergy gap.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Bose gas with generalized dispersion relation plus an en- ergy gap

Reference 4

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72151a1e-b72f-49ac-902f-b2bddec1ab85 · outbound

This paper cites Bose Einstein condensation in crystals with vacancies.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Bose Einstein condensation in crystals with vacancies

Reference 5

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Observation 1bbc77da-fff3-4e87-88f0-04a59786878f · outbound

This paper cites Effect of vacancies on the critical BEC temperature of an ideal boson gas within imperfect crys- tals.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Effect of vacancies on the critical BEC temperature of an ideal boson gas within imperfect crys- tals

Reference 6

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Observation 09cae900-27b7-437f-a0e7-8307da555200 · outbound

This paper cites Bose-Einstein Condensation in Multilayers.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Bose-Einstein Condensation in Multilayers

Reference 7

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Observation 19b2ce77-adc2-42d6-b1fa-6c60331d25a5 · outbound

This paper cites Pitaevskii and S.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Pitaevskii and S

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Observation 52823a82-e00a-4ecb-999c-4f34c3b51b9d · outbound

This paper cites Eighty years of superfluidity.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Eighty years of superfluidity

Reference 9

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Observation a033f13a-956e-4417-b183-efe00eec6d2d · outbound

This paper cites Quantum theory of crystal defects.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Quantum theory of crystal defects

Reference 10

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Observation 4149af07-c24b-462a-95f2-7453eb390b6b · outbound

This paper cites Speculations on Bose-Einstein conden- sation and quantum crystals.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Speculations on Bose-Einstein conden- sation and quantum crystals

Reference 11

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Observation 1a4f4ef8-6c9c-4007-9ef4-4edce207a9f0 · outbound

This paper cites Exact Analysis of an Inter- acting Bose Gas. The General Solution and the Ground State.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Exact Analysis of an Inter- acting Bose Gas. The General Solution and the Ground State

Reference 12

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Observation 6f1a8bc7-ed39-443c-8c97-951dd700dc45 · outbound

This paper cites Mobileimpuritiesinteract- ing with a few onedimensional lattice bosons.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Mobileimpuritiesinteract- ing with a few onedimensional lattice bosons

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Observation 3c082546-7f3b-46f5-86a1-9eb3c3ea2bcc · outbound

This paper cites Quantum States of ultra- cold bosons in optical lattices interacting via long-range interaction.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Quantum States of ultra- cold bosons in optical lattices interacting via long-range interaction

Reference 14

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Observation 3d3862b4-5f48-46a9-8246-75cc186152ba · outbound

This paper cites Structural superfluid–Mott-insulator transition for a Bosegas in multirods.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Structural superfluid–Mott-insulator transition for a Bosegas in multirods

Reference 15

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Observation deb99d21-f1b0-4e63-8f24-033789c83ec3 · outbound

This paper cites One-dimensional Bose gas in opti- cal lattices of arbitrary strength,.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal One-dimensional Bose gas in opti- cal lattices of arbitrary strength,

Reference 16

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Observation d7f19145-369a-467d-a0ad-00117e1b89a5 · outbound

This paper cites an unresolved cited work.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Observation b2e0b262-5255-4e00-b841-d887a2a1b2cd · outbound

This paper cites Bose- Einstein condensates and the numerical solution of the Gross-Pitaevskii equation.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Bose- Einstein condensates and the numerical solution of the Gross-Pitaevskii equation

Reference 18

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

Source-reported events for the cited work

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Observation cd68c65f-5f56-4290-b35d-c3637e7d65c6 · outbound

This paper cites Quantum Mechanics of Electrons in Crystal Lattices.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Quantum Mechanics of Electrons in Crystal Lattices

Reference 19

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Observation 0b61f7a2-78ba-46f9-bad2-0498d8b651c1 · outbound

This paper cites Ground states and dynamics of multi- component Bose-Einstein condensates.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Ground states and dynamics of multi- component Bose-Einstein condensates

Reference 20

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Observation d0c8ef31-16da-43b7-9116-8fe61619defa · outbound

This paper cites Fortranprograms for the time-dependent Gross–Pitaevskii equation in a fully anisotropic trap.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Fortranprograms for the time-dependent Gross–Pitaevskii equation in a fully anisotropic trap

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Unavailable: canonical work link unavailable.

Observation 5d94a298-3b82-433d-a7f8-433ec42a5e11 · outbound

This paper cites Mathematical theory and numerical methods for Bose-Einstein Condensation.

Vacancy Effect on the Ground-State Energy of a Bose Gas Trapped by 1D Imperfect Artificial Crystal Mathematical theory and numerical methods for Bose-Einstein Condensation

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-13T01:12:08.475907Z

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Unavailable: canonical work link unavailable.

Pith citing papers

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