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Paper Citation Record · LEDGER

On generating direct powers of dynamical Lie algebras

As of 18 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 2026-08-17T06:30:58.91139+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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T10:34:41.330574Z digest=sha256:9db4aa3d3a02c999446fd578763d20cb93e6cbfc4ba0601a5d5902fd53ff435b

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T10:34:41.382240Z digest=sha256:9e4b2cb8f2d7933369f16b2804e6228c669c02160012328f20e1798df7112a6d

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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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T10:34:41.509554Z digest=sha256:86765b2ed050112e38277938328e3cdccf524ff77c44abaceaa0bfc5eca177ac

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T10:34:41.572711Z digest=sha256:01e2339e46685d1d0038b429c1505ca08f3e43ffbe8c8eca625d8fa2e79bd1ed

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:d4649f10dd9db56c1f8dfea00c600c3f52c710a9db9cc3eafdb57fb8293dea85

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:a27cb0b30c9d5b4ca417bd03dbb55c17685d281dc35e79a281c5a5ee0fecbeac

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=sha256:97137d6fafff3320a931336ffdde0b368c8531b4aca948ab5d930ffa83c3ebfb

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=sha256:049d1e5714262c0a6d97f49987df7381894b0708d76d5077df087c1be377211a

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:ae9113dffe702219103a44278f3d5ee53c362af025a8e7e0ab11fbf460d0bcca

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T10:34:42.208668Z digest=sha256:bd9ba5dae08c89e78ec65bef541d4ccb7ec74c346a788ae2f7b241b03ed23e61

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
raw_fallback, observed 2026-08-07T10:34:44.462042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T10:34:42.333754Z digest=sha256:0b0173d75beb878732acecc011bbdcb2c800fc003532a0f06385983f91ce9624

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T10:34:42.468818Z digest=sha256:11cb53e9105c87967911b326a61c0835db2b223aed2642a123b30bb7a985a090

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T10:34:42.573939Z digest=sha256:4866ca67959e6148a5df53cabd4713a20a9583c10bb2a4b6905d250033037565

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 2026-08-17T06:30:58.91139+00:00.

source=pdf_text observed=2026-08-07T10:34:42.691515Z digest=sha256:ed700e14f3db16edc66d0f1f8171a9c551855740dd72eef6958f6554c1d57913

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 2026-08-17T06:30:58.91139+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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