Paper Citation Record · LEDGER

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing

As of 11 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2501.09610.

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

pith.paper-citation-record.v1
2501.09610 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:59:31.024557Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

31 of 31 outbound references displayed

verified exact11
verified fuzzy3
unresolved15
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 57f211af-8b41-4b8f-98df-27041ed8ae9e · outbound

This paper cites Among mathematical constructs, the Prouhet-Thue-Morse (PTM) sequence stands out because of its surprisingly rich structure and multifaceted utility.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Among mathematical constructs, the Prouhet-Thue-Morse (PTM) sequence stands out because of its surprisingly rich structure and multifaceted utility

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:59:31.414225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a440d56c-105b-4f3d-93dc-5234f9af71b5 · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:59:31.403782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e1942eec-dd99-4be5-b39f-eabdbb104bdc · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:59:31.393799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation eb45fa3f-416d-4d39-99d7-72552cf2fbe4 · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:59:31.381705Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cc5f989b-81ba-434d-a310-ad59c4c1a286 · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:59:31.369784Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation af89c2fc-effa-44d9-b698-fa6d049b7103 · outbound

This paper cites Specifically, the (PTM) sequence A010060.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Specifically, the (PTM) sequence A010060

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:59:31.358101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8843848b-fa6c-412e-b840-0b6ec01dc133 · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:59:31.345455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4aa13155-82dc-4976-9899-49ffe52e6782 · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:59:31.332877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 02b7bfce-7592-462a-9adc-f4a4331e46b0 · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:59:31.321584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8be28259-da0a-476f-bb54-81a00b19332d · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:59:31.310179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6227ca66-00af-4686-9744-35dd09dd2f39 · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 11

Resolution: verified exact; doi, observed 2026-08-10T19:59:31.175719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f251af60-10bb-4e5f-b4ba-8a38cfd952e3 · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:59:31.297629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6088047f-dabb-45c3-a130-4ea031d0bdfb · outbound

This paper cites semanticscholar.org/CorpusID:54043171.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing semanticscholar.org/CorpusID:54043171

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T19:59:31.285506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cfe90991-212c-4fe1-bd8d-ae7e82f26ecd · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 14

Resolution: verified exact; doi, observed 2026-08-10T19:59:31.164025Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3d9f3b59-175c-45cb-b6b7-f5710b1e7356 · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:59:31.274496Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 08507ab3-1f27-4bef-b125-cb740ab4e80b · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 16

Resolution: malformed identifier; doi_truncated, observed 2026-08-10T19:59:31.151545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 27849a41-1e1e-48f2-a0d8-927472ea6282 · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-10T19:59:31.261574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2bbf6b31-ff63-4ba5-b869-b2ff2d58318d · outbound

This paper cites A New Proof of the Prouhet-Tarry-Escott Problem.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing A New Proof of the Prouhet-Tarry-Escott Problem

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-10T19:59:31.238991Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 07a0561b-749a-412e-aaa9-dae1cc295245 · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-10T19:59:30.973583Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 811571ad-b710-4249-89b5-bba5543325e4 · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-10T19:59:30.977830Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation dbd2c8f7-1e1f-4685-82dc-4a2c41b757b9 · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-10T19:59:30.981972Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9b251dcb-22c2-4b79-927f-15760795160a · outbound

This paper cites Nonlinearity of the Fidelity in Open Qudit Systems: Gate and Noise Dependence in High-dimensional Quantum Computing.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Nonlinearity of the Fidelity in Open Qudit Systems: Gate and Noise Dependence in High-dimensional Quantum Computing

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-10T19:59:31.222986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1baced22-15ee-4566-ba63-d3259e2e4c5d · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 23

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T19:59:31.250249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6eabc63e-f7bf-4144-9e15-50c316b0de0c · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 24

Resolution: verified exact; doi, observed 2026-08-10T19:59:31.117220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bbcb0827-c75a-43ea-9a18-16f0071dbb8c · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 25

Resolution: verified exact; doi, observed 2026-08-10T19:59:31.105065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7b22dd8c-5dbb-437a-8028-32a7adc47e77 · outbound

This paper cites doi.org/10.1137/S0097539795293172.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing doi.org/10.1137/S0097539795293172

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-10T19:59:31.003488Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f70df6ab-996b-4b39-afa8-e599c9727798 · outbound

This paper cites Multifractal Analysis of generalized Thue-Morse trigonometric polynomials.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Multifractal Analysis of generalized Thue-Morse trigonometric polynomials

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-10T19:59:31.207118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 89089171-6ed0-44ca-8ba2-c23f4ff48ce5 · outbound

This paper cites Linear Combinations of Dirichlet Series Associated with the Thue-Morse Sequence.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Linear Combinations of Dirichlet Series Associated with the Thue-Morse Sequence

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-10T19:59:31.191473Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c8c4496a-510a-4ee7-92b2-e0a23cc424ed · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 29

Resolution: verified exact; doi, observed 2026-08-10T19:59:31.084055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b0b3884e-7181-486c-90fc-47e7a6a85e41 · outbound

This paper cites an unresolved cited work.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Unresolved cited work

Reference 30

Resolution: verified exact; doi, observed 2026-08-10T19:59:31.071446Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5a61dda3-3ffa-4bfe-8b7c-58a2d74b07bd · outbound

This paper cites Notations Hilbert Space: A Hilbert Space is a finite-dimensional ( d) vector space over C, equipped with a sesquilinear inner product ⟨·|·⟩.

Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing Notations Hilbert Space: A Hilbert Space is a finite-dimensional ( d) vector space over C, equipped with a sesquilinear inner product ⟨·|·⟩

Reference 31

Resolution: verified exact; doi, observed 2026-08-10T19:59:31.059608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.