Paper Citation Record · LEDGER

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom

As of 12 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2502.03565.

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

pith.paper-citation-record.v1
2502.03565 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-09T04:37:34.993789Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

23 of 23 outbound references displayed

verified exact10
verified fuzzy4
unresolved6
parse uncertain0
malformed identifier2
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 22f93da3-6492-4234-8614-3a807ebb2421 · outbound

This paper cites [14]) uses the orthogo- nality property as Z ∞ 0 ρae−ρLa b (ρ)La c (ρ)dρ = Γ(a + b + 1) [Γ(b + 1)]3 δbc while this will not affect in our calculation (Ref.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom [14]) uses the orthogo- nality property as Z ∞ 0 ρae−ρLa b (ρ)La c (ρ)dρ = Γ(a + b + 1) [Γ(b + 1)]3 δbc while this will not affect in our calculation (Ref

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:37:35.803835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a4e875b4-a27e-4bc2-809c-7d6e036030fc · outbound

This paper cites an unresolved cited work.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:37:35.787718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d951afb8-66ca-475e-8afd-064216364d35 · outbound

This paper cites an unresolved cited work.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:37:35.772344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 970838df-4836-440a-aca5-4813db4a1059 · outbound

This paper cites Radial Uncertainty Product for Spherically Symmetric Potential in Position Space.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom Radial Uncertainty Product for Spherically Symmetric Potential in Position Space

Reference 4

Resolution: verified exact; local_arxiv, observed 2026-08-09T04:37:35.674323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4c9ea7f8-0fee-4b5c-baea-a752dbec7e7c · outbound

This paper cites On the connection between the radial momentum operator and the Hamiltonian in n dimensions.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom On the connection between the radial momentum operator and the Hamiltonian in n dimensions

Reference 5

Resolution: metadata mismatch; local_arxiv, observed 2026-08-09T04:37:35.651834Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a427d0d5-b5ba-470d-86d7-b4afb84e88ef · outbound

This paper cites https://doi.org/10.1142/S0217979222500722.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom https://doi.org/10.1142/S0217979222500722

Reference 6

Resolution: verified exact; doi, observed 2026-08-09T04:37:35.127945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f3191445-6f98-4584-af8b-d95e376f0243 · outbound

This paper cites https://doi.org/ 10.1119/1.3534840.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom https://doi.org/ 10.1119/1.3534840

Reference 7

Resolution: verified exact; doi, observed 2026-08-09T04:37:35.111946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6686ef54-336e-4c15-8372-bf5719e66e0c · outbound

This paper cites Al-Jaber, Uncertainty Relations for Some Cen- tral Potentials in N-Dimensional Space , Applied Math- ematics, 7(6), March 2016, doi:10.4236/am.2016.76047.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom Al-Jaber, Uncertainty Relations for Some Cen- tral Potentials in N-Dimensional Space , Applied Math- ematics, 7(6), March 2016, doi:10.4236/am.2016.76047

Reference 8

Resolution: verified exact; arxiv_id_nonexistent, observed 2026-08-09T04:37:35.629904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 782d0766-56f8-425e-856f-d052e8ba430e · outbound

This paper cites an unresolved cited work.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-09T04:37:34.923030Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7815f007-e8aa-47ab-973a-9adc422d4061 · outbound

This paper cites an unresolved cited work.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom Unresolved cited work

Reference 10

Resolution: malformed identifier; no resolver link, observed 2026-08-09T04:37:34.928566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8600ff39-14e6-4f9d-99fe-ce0481700bea · outbound

This paper cites View on N-dimensional spherical harmonics from the quantum mechanical P\"oschl-Teller potential well.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom View on N-dimensional spherical harmonics from the quantum mechanical P\"oschl-Teller potential well

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-09T04:37:34.933394Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb8aa6d7-e792-401e-959b-957394cb33da · outbound

This paper cites Fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom Fundamental solution of the Laplacian in the hyperboloid model of hyperbolic geometry

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-09T04:37:35.347405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 28719e7d-d3c4-426f-8ca4-0517a91fca15 · outbound

This paper cites an unresolved cited work.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom Unresolved cited work

Reference 13

Resolution: verified exact; raw_fallback, observed 2026-08-09T04:37:35.324746Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a7aaac94-8115-4a3b-bf0c-95965184524c · outbound

This paper cites an unresolved cited work.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom Unresolved cited work

Reference 14

Resolution: verified exact; doi, observed 2026-08-09T04:37:35.076546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9d4a1e4a-6afa-458d-8810-a693a22cf85c · outbound

This paper cites Bransden and C.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom Bransden and C

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:37:35.755954Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8f68b5c4-b2a2-4ebc-b25f-b0bc48ebfecb · outbound

This paper cites Abramowitz and I.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom Abramowitz and I

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:37:35.739982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 38a157e4-cea9-4537-b60e-158fdf559b92 · outbound

This paper cites Griffiths and Darrell F.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom Griffiths and Darrell F

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-09T04:37:35.722873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c523e15c-79ca-4998-959e-55203077610f · outbound

This paper cites an unresolved cited work.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:37:35.706606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 573b13fd-2fcf-4bb4-8008-4cc5da09d719 · outbound

This paper cites an unresolved cited work.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-09T04:37:35.690780Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 092b373d-c523-4265-9186-8d3934efece5 · outbound

This paper cites Supriadi, A.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom Supriadi, A

Reference 20

Resolution: malformed identifier; no resolver link, observed 2026-08-09T04:37:34.976276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a4f60e7a-27b1-498d-bb0c-141eff54d418 · outbound

This paper cites On hyperspherical associated Legendre functions: the extension of spherical harmonics to $N$ dimensions.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom On hyperspherical associated Legendre functions: the extension of spherical harmonics to $N$ dimensions

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-09T04:37:35.151897Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 83328ba1-39d9-45f1-93c6-1b3f76f1b06f · outbound

This paper cites an unresolved cited work.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom Unresolved cited work

Reference 22

Resolution: verified exact; doi, observed 2026-08-09T04:37:35.048823Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1ac53a0f-8999-42ba-addf-524f49b8b397 · outbound

This paper cites an unresolved cited work.

Generalized Radial Uncertainty Product for d-Dimensional Hydrogen Atom Unresolved cited work

Reference 23

Resolution: verified exact; doi, observed 2026-08-09T04:37:35.032238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.