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Paper Citation Record · LEDGER

On generating direct powers of dynamical Lie algebras

As of 7 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 1 inbound Pith citation observation for arXiv:2506.05733.

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

pith.paper-citation-record.v1
2506.05733 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:34:42.805544Z

measured 16 of 16 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T18:52:38.563819Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy10
  • unresolved5
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0c88741d-0088-46ac-a08b-41698b1f23af · outbound

This paper cites A Lie algebraic theory of barren plateaus for deep param- eterized quantum circuits.Nature Communications, 15(1):7172, 2024.

On generating direct powers of dynamical Lie algebras A Lie algebraic theory of barren plateaus for deep param- eterized quantum circuits.Nature Communications, 15(1):7172, 2024

Reference 1

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:34:41.330574Z digest=sha256:f64c595dacf226d7bb2c1dfa43d130af31a0920b330897f5c577ec602fbb36e3

Observation c97536cd-c64f-46af-b9f3-e6c21764fa97 · outbound

This paper cites Characterizing barren plateaus in quantum ansätze with the adjoint representation.Nature Communications, 15(1):7171, 2024.

On generating direct powers of dynamical Lie algebras Characterizing barren plateaus in quantum ansätze with the adjoint representation.Nature Communications, 15(1):7171, 2024

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:34:45.515912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:34:41.382240Z digest=sha256:61c6ba4493109f57ad83cd9df5f2e958bc521ec281a3455d9de888b33833937b

Observation fe796163-de8e-4ff7-af30-0050aa11fb98 · outbound

This paper cites Theory of overparametrization in quantum neural networks.Nature Computational Science, 3(6):542–551, 2023.

On generating direct powers of dynamical Lie algebras Theory of overparametrization in quantum neural networks.Nature Computational Science, 3(6):542–551, 2023

Reference 3

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verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 1a5e80a5-ee7e-4d16-82d6-e4c97564b712 · outbound

This paper cites Cambridge university press, 1997.

On generating direct powers of dynamical Lie algebras Cambridge university press, 1997

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:34:45.023016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:34:41.572711Z digest=sha256:ec062eee8369607c98e6bdb71405f9f6d3baa70f0088378c6c2b7fd850670e1c

Observation 8fd8ca6a-cf38-4090-8141-6996324542e7 · outbound

This paper cites Full classification of Pauli Lie algebras.

On generating direct powers of dynamical Lie algebras Full classification of Pauli Lie algebras

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-07T10:34:41.680706Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:34:41.680706Z digest=sha256:40d8c6f9ea2fa9032295d843e0b717a2b6b4239caab382833199aa1c34d406da

Observation f717f146-4c76-49d4-a864-afefd1e26a04 · outbound

This paper cites A Quantum Approximate Optimization Algorithm.

On generating direct powers of dynamical Lie algebras A Quantum Approximate Optimization Algorithm

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-07T10:34:41.773683Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:34:41.773683Z digest=sha256:b6bb6df9f5ee42ce973135952eb0d417294bf43fec9e66e5a269fc607d9ad189

Observation a2644bc4-52c2-4414-bd26-29150f20d960 · outbound

This paper cites Classification of dynamical Lie algebras generated by spin interactions on undirected graphs.

On generating direct powers of dynamical Lie algebras Classification of dynamical Lie algebras generated by spin interactions on undirected graphs

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-07T10:34:41.903408Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:34:41.903408Z digest=sha256:3600748cf8a8e722b7e12a38e60a9ade8562ff22edcbdf5d3ae6d07bc7155734

Observation 746930b4-724e-4ba7-8fe6-be4097ae9b4b · outbound

This paper cites Analyzing the quantum approximate optimization algorithm: ansätze, symmetries, and Lie algebras.

On generating direct powers of dynamical Lie algebras Analyzing the quantum approximate optimization algorithm: ansätze, symmetries, and Lie algebras

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-07T10:34:42.013079Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:34:42.013079Z digest=sha256:d9ec5aa4c069837dfa91bbf3901e74ca64748269362eab89d18717e2aaef1159

Observation 44836fb1-471e-4c43-8abb-982c2359bd74 · outbound

This paper cites On the dynamical Lie algebras of quantum approximate optimization algorithms.

On generating direct powers of dynamical Lie algebras On the dynamical Lie algebras of quantum approximate optimization algorithms

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-07T10:34:42.108588Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:34:42.108588Z digest=sha256:57c34810b559f7b6e9b546371a07e0a5bec0beecca0a72b9be40f02648150c28

Observation b02a8de1-9018-44ab-a70a-308bf5bf214c · outbound

This paper cites Controllability of the periodic quantum Ising spin chain and the Onsager algebra.

On generating direct powers of dynamical Lie algebras Controllability of the periodic quantum Ising spin chain and the Onsager algebra

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:34:44.753289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:34:42.208668Z digest=sha256:d9c6606209660afbb0db5874eea2bf2ae43940dc522f0cfeaced53e2b1f81543

Observation 777b0e05-9a18-4918-a8c7-eadcb10c04d2 · outbound

This paper cites Symmetry criteria for quantum simulability of effective interactions.

On generating direct powers of dynamical Lie algebras Symmetry criteria for quantum simulability of effective interactions

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 7cf06a44-8544-4ebf-89f3-77658daf6469 · outbound

This paper cites A lie algebraic theory of barren plateaus for deep param- eterized quantum circuits.Nature Communications, 15(1):7172, 2024.

On generating direct powers of dynamical Lie algebras A lie algebraic theory of barren plateaus for deep param- eterized quantum circuits.Nature Communications, 15(1):7172, 2024

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:34:44.183278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:34:42.468818Z digest=sha256:f622cba898e9816af01a788553c30117433192a0d754114fef7f1b7e29ddcb99

Observation fc2c1057-9155-43b4-9273-7e02c2f55d8d · outbound

This paper cites Springer, 1996.

On generating direct powers of dynamical Lie algebras Springer, 1996

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:34:43.970255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:34:42.573939Z digest=sha256:bedee84b602daeb170abd24b21dfc62bcb51bfad9f127a12dc19361da4b86eb1

Observation c55e1f6b-bf6f-48b4-8493-1235dc2450d6 · outbound

This paper cites Controllability of symmetric spin networks.

On generating direct powers of dynamical Lie algebras Controllability of symmetric spin networks

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:34:43.753676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T10:34:42.691515Z digest=sha256:10ac9fcf2f77beab4df209c19fa852d4ab27e87deef5651bde61f268f4d59585

Observation 173a1a0b-9b42-4b07-a712-4a3a1251544f · outbound

This paper cites The- oretical guarantees for permutation-equivariant quantum neural networks.npj Quantum Infor- mation, 10(1):12, 2024.

On generating direct powers of dynamical Lie algebras The- oretical guarantees for permutation-equivariant quantum neural networks.npj Quantum Infor- mation, 10(1):12, 2024

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T10:34:43.522838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Pith citing papers

Observation f9b3ff38-2ddb-488b-9f58-dfd23e477efb · inbound

A Dynamical Lie-Algebraic Framework for Hamiltonian Engineering and Quantum Control cites this paper.

A Dynamical Lie-Algebraic Framework for Hamiltonian Engineering and Quantum Control On generating direct powers of dynamical Lie algebras

Reference 27

Resolution
unresolved
no resolver link, observed 2026-08-02T18:52:38.563819Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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