Paper Citation Record · LEDGER

Learning spatially structured open quantum dynamics with regional-attention transformers

As of 21 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2509.06871.

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

pith.paper-citation-record.v1
2509.06871 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T23:02:40.026213Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+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

39 of 39 outbound references displayed

verified exact0
verified fuzzy31
unresolved8
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 835d2d7c-8745-4160-8647-fdb27922ba30 · outbound

This paper cites Nature Physics6(11), 894–899 (2010).

Learning spatially structured open quantum dynamics with regional-attention transformers Nature Physics6(11), 894–899 (2010)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:42.832749Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 734c44d7-09e8-4bc4-a6e8-80681fbfd2ad · outbound

This paper cites Nature Photonics13(5), 346–351 (2019).

Learning spatially structured open quantum dynamics with regional-attention transformers Nature Photonics13(5), 346–351 (2019)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:42.751422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 067316bd-ceb7-43d8-886e-e1f4ca874005 · outbound

This paper cites Nature communications9(1), 363 (2018).

Learning spatially structured open quantum dynamics with regional-attention transformers Nature communications9(1), 363 (2018)

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:42.659405Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation ce50b282-aa23-4066-8a25-ffad65e1a7ff · outbound

This paper cites Reviews of Modern Physics90(3), 031002 (2018).

Learning spatially structured open quantum dynamics with regional-attention transformers Reviews of Modern Physics90(3), 031002 (2018)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:42.574925Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6c506459-3094-4bdd-911f-3ed5dac4ac3d · outbound

This paper cites Prx Quantum3(1), 010201 (2022).

Learning spatially structured open quantum dynamics with regional-attention transformers Prx Quantum3(1), 010201 (2022)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:42.469876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 073e920d-4a15-4610-a609-ab7ab759427c · outbound

This paper cites Nature Communications13(1), 2285 (2022).

Learning spatially structured open quantum dynamics with regional-attention transformers Nature Communications13(1), 2285 (2022)

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:42.394317Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d5426735-b069-4f2c-a860-28491da1b0ca · outbound

This paper cites Physical Review A—Atomic, Molecular, and Optical Physics79(3), 033814 (2009).

Learning spatially structured open quantum dynamics with regional-attention transformers Physical Review A—Atomic, Molecular, and Optical Physics79(3), 033814 (2009)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:42.318879Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 5cd4f8fd-1916-43da-93e5-86efb72fd024 · outbound

This paper cites Physical Review Letters123(24), 243604 (2019).

Learning spatially structured open quantum dynamics with regional-attention transformers Physical Review Letters123(24), 243604 (2019)

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:42.231121Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a2a1c354-67d5-4331-b8fb-eda78d7cd93f · outbound

This paper cites Nature 566(7744), 359–362 (2019).

Learning spatially structured open quantum dynamics with regional-attention transformers Nature 566(7744), 359–362 (2019)

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:42.141432Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bbee1c80-d877-4863-8458-53ab69116230 · outbound

This paper cites Nature615(7953), 614–619 (2023).

Learning spatially structured open quantum dynamics with regional-attention transformers Nature615(7953), 614–619 (2023)

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:42.031451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a5dc734e-3ea1-4e3d-8823-0f271b856adb · outbound

This paper cites Physical review letters84(22), 5094 (2000).

Learning spatially structured open quantum dynamics with regional-attention transformers Physical review letters84(22), 5094 (2000)

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:41.967931Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b78efaa8-0942-4830-bae2-b73990e5f79d · outbound

This paper cites Physical Review A65(2), 022314 (2002).

Learning spatially structured open quantum dynamics with regional-attention transformers Physical Review A65(2), 022314 (2002)

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:41.889378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 33c28022-1738-4b44-9122-65c5397a1454 · outbound

This paper cites Reviews of modern physics77(2), 633– 673 (2005).

Learning spatially structured open quantum dynamics with regional-attention transformers Reviews of modern physics77(2), 633– 673 (2005)

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:41.812112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 282698fa-683f-4a18-8466-96e0bf11d71d · outbound

This paper cites Nature photonics3(12), 706–714 (2009).

Learning spatially structured open quantum dynamics with regional-attention transformers Nature photonics3(12), 706–714 (2009)

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:41.716207Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2b15beef-4b1f-41d7-baed-91e734669982 · outbound

This paper cites Physical Review Applied8(3), 034023 (2017).

Learning spatially structured open quantum dynamics with regional-attention transformers Physical Review Applied8(3), 034023 (2017)

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:41.630842Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 182d188e-f0bb-4cc7-bd25-d28f70760d81 · outbound

This paper cites Nature438(7069), 833–836 (2005).

Learning spatially structured open quantum dynamics with regional-attention transformers Nature438(7069), 833–836 (2005)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:41.543493Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 81f4a7b1-6b1b-4329-8ab2-a7e9e59c3430 · outbound

This paper cites npj Quantum Information10(1), 10 (2024).

Learning spatially structured open quantum dynamics with regional-attention transformers npj Quantum Information10(1), 10 (2024)

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:41.457122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation bf71ade1-fb6b-431e-9c4d-9dbe6e0741bf · outbound

This paper cites Computer Physics Communications306, 109374 (2025).

Learning spatially structured open quantum dynamics with regional-attention transformers Computer Physics Communications306, 109374 (2025)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:41.379484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2171f923-d510-40dd-b582-e56fcaee96c1 · outbound

This paper cites Journal of Computational physics378, 686–707 (2019).

Learning spatially structured open quantum dynamics with regional-attention transformers Journal of Computational physics378, 686–707 (2019)

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-04T23:02:39.244731Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 60c51c1d-c04a-47a8-a11c-bae88572484f · outbound

This paper cites Proceedings of the National Academy of Sciences116(31), 15344–15349 (2019).

Learning spatially structured open quantum dynamics with regional-attention transformers Proceedings of the National Academy of Sciences116(31), 15344–15349 (2019)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:41.285535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 8d8e4d2b-bf0e-4984-bc16-44d3ebdc8c44 · outbound

This paper cites Journal of Machine Learning Research24(89), 1–97 (2023).

Learning spatially structured open quantum dynamics with regional-attention transformers Journal of Machine Learning Research24(89), 1–97 (2023)

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T23:02:39.321209Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d62e659-31c5-4a33-a5c5-1dea1357c2e2 · outbound

This paper cites Physical Review Letters135(6), 060602 (2025).

Learning spatially structured open quantum dynamics with regional-attention transformers Physical Review Letters135(6), 060602 (2025)

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:41.170829Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a92af8c2-8829-4dfc-b9a0-fa0ac80b5391 · outbound

This paper cites A Self-Attention Ansatz for Ab-initio Quantum Chemistry.

Learning spatially structured open quantum dynamics with regional-attention transformers A Self-Attention Ansatz for Ab-initio Quantum Chemistry

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T23:02:39.380719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ec5eeb6c-72de-40b2-b2a8-369c5372c48c · outbound

This paper cites Physical Review A 105(4), 042403 (2022) 23.

Learning spatially structured open quantum dynamics with regional-attention transformers Physical Review A 105(4), 042403 (2022) 23

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:41.087077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 51fec7a8-2084-4da2-aea4-196c684e59c7 · outbound

This paper cites Physical Review B111(13), 134411 (2025).

Learning spatially structured open quantum dynamics with regional-attention transformers Physical Review B111(13), 134411 (2025)

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:40.983103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d3e0853b-4a0a-4ff3-ac63-e7f73c799676 · outbound

This paper cites Physical Review Research7(1), 012013 (2025).

Learning spatially structured open quantum dynamics with regional-attention transformers Physical Review Research7(1), 012013 (2025)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:40.904137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 9768c6cc-5ad7-40f3-a689-a94bb4120312 · outbound

This paper cites Advances in neural information processing systems30(2017).

Learning spatially structured open quantum dynamics with regional-attention transformers Advances in neural information processing systems30(2017)

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T23:02:39.547032Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ef51554-9b20-4d2f-aeae-d4035e299c6d · outbound

This paper cites An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale.

Learning spatially structured open quantum dynamics with regional-attention transformers An Image is Worth 16x16 Words: Transformers for Image Recognition at Scale

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-04T23:02:39.572467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f5c6ab8-b528-4f83-874c-34efbafed7eb · outbound

This paper cites Neural Networks146, 272–289 (2022).

Learning spatially structured open quantum dynamics with regional-attention transformers Neural Networks146, 272–289 (2022)

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:40.803783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 576b20ca-1be3-40a7-a037-a1802ef09d74 · outbound

This paper cites Advances in Neural Information Processing Systems37, 119301–119335 (2024).

Learning spatially structured open quantum dynamics with regional-attention transformers Advances in Neural Information Processing Systems37, 119301–119335 (2024)

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:40.730160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 17b81583-e01c-4902-a9e7-a2cbb9deec03 · outbound

This paper cites Communications Physics7(1), 90 (2024).

Learning spatially structured open quantum dynamics with regional-attention transformers Communications Physics7(1), 90 (2024)

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:40.647557Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7a0a5cd2-5a11-4092-ae96-a82264e44ea7 · outbound

This paper cites Axial Attention in Multidimensional Transformers.

Learning spatially structured open quantum dynamics with regional-attention transformers Axial Attention in Multidimensional Transformers

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-04T23:02:39.725139Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 28e526f7-9c05-4ca9-87eb-b11e4be26d37 · outbound

This paper cites In: Proceedings of the IEEE/CVF International Conference on Computer Vision, pp.

Learning spatially structured open quantum dynamics with regional-attention transformers In: Proceedings of the IEEE/CVF International Conference on Computer Vision, pp

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:40.559742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 65992a2a-7fb3-48dc-9f5b-7d3c734732e2 · outbound

This paper cites In: Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp.

Learning spatially structured open quantum dynamics with regional-attention transformers In: Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, pp

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:40.471283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 6757e237-f1d9-4d00-98f2-716536b20041 · outbound

This paper cites Advances in Neural Information Processing Systems35, 25390–25403 (2022).

Learning spatially structured open quantum dynamics with regional-attention transformers Advances in Neural Information Processing Systems35, 25390–25403 (2022)

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:40.395672Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7a008d17-ee04-48ab-a332-299425664bfa · outbound

This paper cites Communications Physics4(1), 164 (2021).

Learning spatially structured open quantum dynamics with regional-attention transformers Communications Physics4(1), 164 (2021)

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:40.315874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d4b758e1-eb84-446b-b9bb-632b526173af · outbound

This paper cites A distributed simulation framework for quantum networks and channels.

Learning spatially structured open quantum dynamics with regional-attention transformers A distributed simulation framework for quantum networks and channels

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-04T23:02:39.936263Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d80efbf-e2f8-4ccc-b7d2-0aa44f500045 · outbound

This paper cites Quantum Science and Technology6(4), 045027 (2021).

Learning spatially structured open quantum dynamics with regional-attention transformers Quantum Science and Technology6(4), 045027 (2021)

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T23:02:40.219150Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation c4786660-18c4-4e44-8dcd-67366c3152ef · outbound

This paper cites QuTiP 5: The Quantum Toolbox in Python.

Learning spatially structured open quantum dynamics with regional-attention transformers QuTiP 5: The Quantum Toolbox in Python

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-04T23:02:40.026213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.