Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-10T19:59:31.024557Z
Paper Citation Record · LEDGER
Elucidating the Physical and Mathematical Properties of the Prouhet-Thue-Morse Sequence in Quantum Computing
As of 12 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.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.
Pith citing papers
No inbound Pith citation observations are available.