Paper Citation Record · LEDGER

Effects of non-integrability in a non-Hermitian time crystal

As of 12 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 1 inbound Pith citation observation for arXiv:2412.04382.

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

pith.paper-citation-record.v1
2412.04382 v2

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T21:32:58.291479Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T20:10:00.639373Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-10T20:10:00.783529Z

Reference resolution

45 of 45 outbound references displayed

verified exact1
verified fuzzy16
unresolved28
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9b259144-2141-4acb-af18-5aee4b047bbd · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:32:59.357068Z

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 fc8c57e7-103c-4eb7-ac85-0341b2e3349e · outbound

This paper cites Similarly, for the NFM2 phase, C(y) ∼ y−α 2 cos (a2y).

Effects of non-integrability in a non-Hermitian time crystal Similarly, for the NFM2 phase, C(y) ∼ y−α 2 cos (a2y)

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:32:59.332853Z

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 e8800991-44c4-4dd2-8dd4-a026f3dd3905 · outbound

This paper cites Tuning away from this point, the PM phase is achieved upon either increasing or decreasing R by a suﬃcient amount.

Effects of non-integrability in a non-Hermitian time crystal Tuning away from this point, the PM phase is achieved upon either increasing or decreasing R by a suﬃcient amount

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:32:59.309224Z

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 bdc6c846-3a8d-4caa-ad2a-1861fcf5c3fe · outbound

This paper cites As predicted from analyzing the two-time correlation functions, the phase boundary shifts upward to larger R values when K > 0 is added.

Effects of non-integrability in a non-Hermitian time crystal As predicted from analyzing the two-time correlation functions, the phase boundary shifts upward to larger R values when K > 0 is added

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:32:59.283903Z

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 3937ab8b-6c65-4720-ac26-c276f281866b · outbound

This paper cites Floquet Hamiltonian.

Effects of non-integrability in a non-Hermitian time crystal Floquet Hamiltonian

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:32:59.261092Z

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 4ac4f9ca-9c04-4c87-9872-21e5222975d0 · outbound

This paper cites 0001 as illustrated in ﬁg.

Effects of non-integrability in a non-Hermitian time crystal 0001 as illustrated in ﬁg

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:32:59.240516Z

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 b956c8d7-f6b0-41d6-91d0-61c31cec1d2a · outbound

This paper cites Manzano, A short introduction to the lindblad master equation, AIP Advances 10, 025106 (2020).

Effects of non-integrability in a non-Hermitian time crystal Manzano, A short introduction to the lindblad master equation, AIP Advances 10, 025106 (2020)

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:32:59.221222Z

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 0ccb2bd1-bf00-429b-84cb-682eabff1dc7 · outbound

This paper cites Naghiloo, M.

Effects of non-integrability in a non-Hermitian time crystal Naghiloo, M

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:32:59.196467Z

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 4cea1174-5964-4360-994d-074c14da250a · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-11T21:32:58.042965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2e90ebbb-daa3-4b19-9fbc-e9fcdfa5dd24 · outbound

This paper cites Yao and Z.

Effects of non-integrability in a non-Hermitian time crystal Yao and Z

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T21:32:58.048607Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2221454a-44c1-400d-aa1a-89b1f2d5784d · outbound

This paper cites Cui and Y.

Effects of non-integrability in a non-Hermitian time crystal Cui and Y

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:32:59.135420Z

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 d3de3651-efff-4acc-aa0a-43d3271f3307 · outbound

This paper cites Doppler, A.

Effects of non-integrability in a non-Hermitian time crystal Doppler, A

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T21:32:58.059316Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 575b94f4-5bf0-464e-8c53-ebc595d0b2bf · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T21:32:58.066559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c69eda20-c498-4e1a-88fd-d7e60d5c5d71 · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:32:59.064992Z

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 db5fce90-0520-4bf9-92d0-21f37a9440b6 · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T21:32:58.077638Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 623a3d29-6801-44e6-bd4d-3a512ada3f15 · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:32:59.021712Z

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 53791e42-8796-4c90-a1a1-5c6bdf5e8666 · outbound

This paper cites Longhi, Bloch oscillations in complex crystals with PT symmetry, Phys.

Effects of non-integrability in a non-Hermitian time crystal Longhi, Bloch oscillations in complex crystals with PT symmetry, Phys

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:32:58.987704Z

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 32ce2bfb-5e90-4822-9056-84a36c7a894a · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:32:58.958598Z

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 e0be2d82-0e06-48b1-800e-ec44e78aae93 · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T21:32:58.107266Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6d9701d-6d35-4295-9e9e-87d2140f1af3 · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:32:58.917462Z

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 c8eadb94-df84-47ae-ba12-2b71eed893d5 · outbound

This paper cites Miri and A.

Effects of non-integrability in a non-Hermitian time crystal Miri and A

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T21:32:58.121912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 547f4f57-011e-4fd5-93ad-bad66ca8703b · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-11T21:32:58.128526Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f5a9ebf4-b58b-4139-9097-3fc035191700 · outbound

This paper cites Zhang, X.-Q.

Effects of non-integrability in a non-Hermitian time crystal Zhang, X.-Q

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:32:58.860096Z

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 4e984e89-7c6a-46c4-b80b-1ea701434add · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:32:58.834580Z

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 e3c5b2cf-eacc-48c9-b949-94eb5a90799f · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-11T21:32:58.148222Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4199fdb-52a6-4133-9cba-37eff72a8459 · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T21:32:58.155013Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7d8ed2a7-039c-4007-a4ce-7d55ce900047 · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:32:58.761193Z

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 02bd81c2-8a53-4362-8fa4-00037c8ec86a · outbound

This paper cites Wilczek, Quantum time crystals, Phys.

Effects of non-integrability in a non-Hermitian time crystal Wilczek, Quantum time crystals, Phys

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-11T21:32:58.167115Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b11936a-1612-46f7-a7e2-dd74c6e94aec · outbound

This paper cites Watanabe and M.

Effects of non-integrability in a non-Hermitian time crystal Watanabe and M

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-11T21:32:58.173838Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bc236155-a982-4011-ad2f-b416346134f7 · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:32:58.713399Z

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 fae4fee6-a43e-4507-b50d-525895d565e4 · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-11T21:32:58.191701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 966dd8c0-ae5e-4580-b6e6-fbea19211091 · outbound

This paper cites Rovny, R.

Effects of non-integrability in a non-Hermitian time crystal Rovny, R

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-11T21:32:58.199577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 330eda14-c11b-4c50-a569-9d701cc2036b · outbound

This paper cites Autti, V.

Effects of non-integrability in a non-Hermitian time crystal Autti, V

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:32:58.655502Z

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 9f774d83-5a73-4718-9452-3db03ebf42f8 · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:32:58.630787Z

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 4789789d-657b-4e82-95f9-201988a03ec5 · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:32:58.606031Z

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 19d59007-bbc0-4b8a-8ec2-85d34669ba7c · outbound

This paper cites Khemani, A.

Effects of non-integrability in a non-Hermitian time crystal Khemani, A

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-11T21:32:58.234314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db07c5fb-6f9e-4bbd-a85b-bd173daf2bd6 · outbound

This paper cites Non-Hermitian Discrete Time Crystals.

Effects of non-integrability in a non-Hermitian time crystal Non-Hermitian Discrete Time Crystals

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-08-11T21:32:58.408722Z

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 d7f4d5f7-4870-404a-ab37-0de7b4842774 · outbound

This paper cites Sachdev, Quantum Phase Transitions (Cambridge University Press, 2011).

Effects of non-integrability in a non-Hermitian time crystal Sachdev, Quantum Phase Transitions (Cambridge University Press, 2011)

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-11T21:32:58.246898Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2de716ff-1f95-4505-aff4-911fd5d72ecd · outbound

This paper cites Hauschild and F.

Effects of non-integrability in a non-Hermitian time crystal Hauschild and F

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:32:58.547873Z

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 faddaf9b-2508-44b1-841d-f3f505d3cd3f · outbound

This paper cites an unresolved cited work.

Effects of non-integrability in a non-Hermitian time crystal Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-11T21:32:58.523430Z

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 ee8b734d-5939-4b83-89bb-ee16848d86dd · outbound

This paper cites Sabetta and G.

Effects of non-integrability in a non-Hermitian time crystal Sabetta and G

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:32:58.499585Z

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 73a9ba32-476c-4023-8f52-50e1f3f7057e · outbound

This paper cites Giuliano, D.

Effects of non-integrability in a non-Hermitian time crystal Giuliano, D

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:32:58.478104Z

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 a418999c-4a4f-4db2-9afe-43e17bc0c16b · outbound

This paper cites Yamamoto, M.

Effects of non-integrability in a non-Hermitian time crystal Yamamoto, M

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:32:58.453698Z

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 d41ebc5d-599a-4cff-adbe-eb067173be3e · outbound

This paper cites Artuso, P.

Effects of non-integrability in a non-Hermitian time crystal Artuso, P

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T21:32:58.431476Z

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 68f65873-70f5-4c63-acc9-bc98514bcad1 · outbound

This paper cites Effect of noise on quantum circuit realization of non-Hermitian time crystals.

Effects of non-integrability in a non-Hermitian time crystal Effect of noise on quantum circuit realization of non-Hermitian time crystals

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-11T21:32:58.291479Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 26502204-90be-48a0-92f3-768af7038aad · inbound

Unpolarized prethermal discrete time crystal cites this paper.

Unpolarized prethermal discrete time crystal Effects of non-integrability in a non-Hermitian time crystal

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-10T20:10:00.790239Z

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.