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Paper Citation Record · LEDGER

A simple quantum dot: numerical and variational solutions

As of 4 August 2026, this Paper Citation Record lists 9 of 9 outbound references and 0 inbound Pith citation observations for arXiv:2511.16053.

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

pith.paper-citation-record.v1
2511.16053 v2

Coverage vector

measured 9 of 9 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-25T07:21:32.340224Z

measured 9 of 9 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+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

9 of 9 outbound references displayed

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  • verified fuzzy9
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4464e893-604d-4b34-8cda-d075d47a5859 · outbound

This paper cites − λa 2 1 + tanh λa 2 + 2π2 π2 +λ 2a2 # . (D9) All together, Eq. (D3) becomes ⟨ ˆH⟩= ℏ2π2 2ma2.

A simple quantum dot: numerical and variational solutions − λa 2 1 + tanh λa 2 + 2π2 π2 +λ 2a2 # . (D9) All together, Eq. (D3) becomes ⟨ ˆH⟩= ℏ2π2 2ma2

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T09:56:51.627133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-25T07:21:32.340224Z digest=sha256:b0bf6267fc2601c4f23426254741bad107059b4d79369849d871b30d03eadb96

Observation 617860d4-a8ad-4d75-977f-945f92d3a666 · outbound

This paper cites Introduction To Quantum Mechanics, 3rd Edition.

A simple quantum dot: numerical and variational solutions Introduction To Quantum Mechanics, 3rd Edition

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T09:56:51.600543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-25T07:21:32.340224Z digest=sha256:6af7a4edd3279be6bfdc8ca604577511ca208373b6b03c3b614df274df3f6ad6

Observation aa155df8-9b3b-41a0-9703-5a94966f2554 · outbound

This paper cites The harmonic oscillator in quantum me- chanics: A third way.

A simple quantum dot: numerical and variational solutions The harmonic oscillator in quantum me- chanics: A third way

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T09:56:51.608059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-25T07:21:32.340224Z digest=sha256:f566d2fcc0ac672c8385b63a447ebf380c16c774d078406af796fe6ddfe783ef

Observation b8f84a0f-e337-4ee3-ade7-3716e97797b6 · outbound

This paper cites Calculation of 2D elec- tronic band structure using matrix mechanics.

A simple quantum dot: numerical and variational solutions Calculation of 2D elec- tronic band structure using matrix mechanics

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T09:56:51.604264Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-25T07:21:32.340224Z digest=sha256:3286bb449ae101b7717e7e48b771244fd013ff573ffd219862fe98f092b81a81

Observation 69edeed0-49c9-4a1b-b65a-c286883583c0 · outbound

This paper cites Quan- tum bound states in a classically unbound system of crossed wires.

A simple quantum dot: numerical and variational solutions Quan- tum bound states in a classically unbound system of crossed wires

Reference 5

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verified fuzzy
raw_fallback, observed 2026-05-25T09:56:51.620042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-25T07:21:32.340224Z digest=sha256:926b21628d1bf85361dc10f100a6d93a30bf3e31612ccd54de2265285bb6c718

Observation 0ce6e3d1-4da3-46a5-98a2-dfa30e061ce8 · outbound

This paper cites Numerical Recipes: The Art of Scientific Computing.

A simple quantum dot: numerical and variational solutions Numerical Recipes: The Art of Scientific Computing

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T09:56:51.615794Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-25T07:21:32.340224Z digest=sha256:5bb8dbc46d2d3bf8b5e6669da4650780706061c66e668f86d9c6b4ae55af346c

Observation 8d337d07-121b-450c-83aa-e9b83abade9b · outbound

This paper cites Confined modes in two-dimensional tubes.

A simple quantum dot: numerical and variational solutions Confined modes in two-dimensional tubes

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T09:56:51.623572Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-25T07:21:32.340224Z digest=sha256:fdbfeb5a20062c6d7b153c945a8005848a5fea2aee43a125543254d8c4e55fc2

Observation c73c0fc2-0440-4d11-8206-89d77ecc9ccb · outbound

This paper cites Numerical investigation of isospectral cavities built from triangles.

A simple quantum dot: numerical and variational solutions Numerical investigation of isospectral cavities built from triangles

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T09:56:51.630491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-25T07:21:32.340224Z digest=sha256:1c3ed1165d1e4d95fa9351cfde9ab85883797f1d5ba27ce88c8987e198242818

Observation af4368c5-5e6b-4d0a-8715-330555f2b0b2 · outbound

This paper cites Handbook of Mathe- matical Functions with Formulas, Graphs, and Mathemat- ical Tables, 9th Edition.

A simple quantum dot: numerical and variational solutions Handbook of Mathe- matical Functions with Formulas, Graphs, and Mathemat- ical Tables, 9th Edition

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-25T09:56:51.612079Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-25T07:21:32.340224Z digest=sha256:74619d8e04c21493381b1b6b95abceffeeeb46d67f73501360e17e0d1abcf5a8

Pith citing papers

No inbound Pith citation observations are available.