Paper Citation Record · LEDGER

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation

As of 14 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 1 inbound Pith citation observation for arXiv:2607.01030.

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

pith.paper-citation-record.v1
2607.01030 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-02T12:00:52.498784Z

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T15:50:04.766385Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

29 of 29 outbound references displayed

verified exact1
verified fuzzy17
unresolved11
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7d151ee6-c202-49db-a604-63b9bb866bba · outbound

This paper cites an unresolved cited work.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-07-06T02:31:49.683815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 52132a3b-4fa0-40da-a91a-ed0f15cab2bc · outbound

This paper cites By substituting this result into theconsistency condition(57) we obtain according to Eqs.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation By substituting this result into theconsistency condition(57) we obtain according to Eqs

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T02:31:49.687254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation df964441-94fc-4bbc-9032-3189cf4e65a2 · outbound

This paper cites As anticipated,g 0 is the only coefficient contributing to zeroth-order.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation As anticipated,g 0 is the only coefficient contributing to zeroth-order

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T02:31:49.697663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c5ed2e60-4d76-48aa-9a9b-96cecf3e836c · outbound

This paper cites an unresolved cited work.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-07-06T02:31:49.681149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 798697fb-c5b5-49a4-9b5f-1812ab872af7 · outbound

This paper cites Bloch, Physical Review70, 460 (1946).

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Bloch, Physical Review70, 460 (1946)

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T02:31:49.703288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 377edbb4-4d36-4116-b07a-4d71b2bf7352 · outbound

This paper cites an unresolved cited work.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-07-06T02:31:49.647469Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 74f3de1a-042c-4321-bc88-73b3691b9e9a · outbound

This paper cites an unresolved cited work.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-07-06T02:31:49.649299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation a22b4457-a6da-49a4-a220-f6b664b46cb3 · outbound

This paper cites Allen and J.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Allen and J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T02:31:49.650865Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cf8ff3e5-efd2-4dd8-98c6-acd82ca58395 · outbound

This paper cites an unresolved cited work.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-07-06T02:31:49.645561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 13ad40be-96cb-412e-a0e8-889d425cd7b5 · outbound

This paper cites an unresolved cited work.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-07-06T02:31:49.643922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 17e8dfdc-9d4e-468c-9b88-60f7b7e0165b · outbound

This paper cites Staicova and P.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Staicova and P

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T02:31:49.676893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e761dee4-7323-4d86-bf02-479037cfc6fe · outbound

This paper cites Horta¸ csu, Advances in High Energy Physics2018, 8621573 (2018).

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Horta¸ csu, Advances in High Energy Physics2018, 8621573 (2018)

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T02:31:49.691002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d3e02d24-873c-4e4a-9d50-29a2f4268bba · outbound

This paper cites Floquet system, Bloch oscillation, and Stark ladder.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Floquet system, Bloch oscillation, and Stark ladder

Reference 13

Resolution: verified exact; local_arxiv, observed 2026-07-02T12:06:55.284418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8791af47-fee7-4c33-80ad-6c3799e33185 · outbound

This paper cites Xie and W.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Xie and W

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T02:31:49.652719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 45cd8a77-abc7-4a7e-a043-a2d7c62056a7 · outbound

This paper cites Schmidt, J.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Schmidt, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T02:31:49.656895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f2f9aa66-d1aa-453c-b6c7-7482af2a6ec8 · outbound

This paper cites Xie, Pramana91, 19 (2018).

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Xie, Pramana91, 19 (2018)

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T02:31:49.692876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation e8ec5b39-8021-41c2-be3c-43a3bee9143b · outbound

This paper cites Ronveaux,Heun’s Differential Equations(Oxford University Press, Oxford, 1995).

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Ronveaux,Heun’s Differential Equations(Oxford University Press, Oxford, 1995)

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T02:31:49.674856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 48a17698-4095-4799-a75f-8d91a85357f7 · outbound

This paper cites an unresolved cited work.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-07-06T02:31:49.680921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation b23c6cd7-7ea2-4454-a65d-704f79bf1173 · outbound

This paper cites Schmidt, Journal f¨ ur die reine und angewandte Mathematik1979, 127 (1979).

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Schmidt, Journal f¨ ur die reine und angewandte Mathematik1979, 127 (1979)

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T02:31:49.655424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 1506337c-aea9-4d3a-a854-e7b9d8dbe964 · outbound

This paper cites Schmidt, Zeitschrift f¨ ur Naturforschung A73, 705 (2018).

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Schmidt, Zeitschrift f¨ ur Naturforschung A73, 705 (2018)

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T02:31:49.652927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ee0f722e-1ed1-4f63-b03c-c7b192ca2366 · outbound

This paper cites Bloch and A.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Bloch and A

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T02:31:49.658212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6fb34d47-b936-40b5-a09d-7ce8c4d6472e · outbound

This paper cites an unresolved cited work.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-07-06T02:31:49.647254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d31d8f53-b534-49ed-8e5e-7555f128ba3b · outbound

This paper cites Erd´ elyi, The Quarterly Journal of Mathematics15, 62 (1944).

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Erd´ elyi, The Quarterly Journal of Mathematics15, 62 (1944)

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T02:31:49.664872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 99609524-4fad-4750-b3db-7f64e7155f8e · outbound

This paper cites Erd´ elyi, Duke Mathematical Journal9, 48 (1942).

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Erd´ elyi, Duke Mathematical Journal9, 48 (1942)

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T02:31:49.668226Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c6e22295-bc5f-432c-80e3-ffc74a047ffe · outbound

This paper cites Svartholm, Mathematische Annalen116, 413 (1939).

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Svartholm, Mathematische Annalen116, 413 (1939)

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T02:31:49.638857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 81a93598-b453-49f4-b8e4-6d72ba3ef6bc · outbound

This paper cites an unresolved cited work.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-07-06T02:31:49.642477Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation eb1dd87a-91a7-46b3-ad89-9947e558aadb · outbound

This paper cites an unresolved cited work.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-07-06T02:31:49.631329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation cd00ee1c-2765-4c75-9d8b-2734d8408887 · outbound

This paper cites an unresolved cited work.

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-07-06T02:31:49.642198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9b53851f-7ae2-4495-b779-e70eba95959b · outbound

This paper cites Holthaus, Physical Review Letters69, 351 (1992).

Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation Holthaus, Physical Review Letters69, 351 (1992)

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-07-06T02:31:49.637059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Pith citing papers

Observation 8a8cd8eb-9703-42d3-86fa-88a21bdc620f · inbound

Floquet time-convolutionless master equation for non-Markovian driven quantum systems cites this paper.

Floquet time-convolutionless master equation for non-Markovian driven quantum systems Analytical connection between exact and approximate solutions of the periodically-driven two-level system starting from the Heun equation

Reference 32

Resolution: unresolved; no resolver link, observed 2026-07-31T15:50:04.766385Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.