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Paper Citation Record · LEDGER

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods

As of 21 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 1 inbound Pith citation observation for arXiv:2506.12788.

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

pith.paper-citation-record.v1
2506.12788 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:48:24.186574Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:48:18.956553Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T00:48:27.873073Z

Reference resolution

43 of 43 outbound references displayed

  • verified exact8
  • verified fuzzy10
  • unresolved22
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch2

External citation measurements

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Outbound references

Observation 836546db-26ff-4877-b41a-467860991ab6 · outbound

This paper cites (3) Here, xi = 21xm i − 1 for i = 0, 1, 2, 3.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods (3) Here, xi = 21xm i − 1 for i = 0, 1, 2, 3

Reference 1

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Observation 27821b4d-f276-4e48-9fb8-46699644db54 · outbound

This paper cites The average, minimum, and maximum of the result on QTCC are all larger than those of the result on noiseless time propagation, respectively as shown in Table.I.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods The average, minimum, and maximum of the result on QTCC are all larger than those of the result on noiseless time propagation, respectively as shown in Table.I

Reference 2

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Observation 7fdbf2ee-5a6b-43f4-b27d-856c6178f03d · outbound

This paper cites The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods

Reference 3

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Observation 11a878e2-8ba4-4e3b-8b1f-5219b074921f · outbound

This paper cites an unresolved cited work.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Unresolved cited work

Reference 4

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source=pdf_text observed=2026-08-07T00:48:19.305367Z digest=sha256:b4cc269ec96a6b83c1ccd012e65091772abaa80c77c80bc4b7c67999418c3e6b

Observation 44a4a557-b1b0-4bf9-b25b-a30399a41945 · outbound

This paper cites Ohzeki, Phys.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Ohzeki, Phys

Reference 5

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source=pdf_text observed=2026-08-07T00:48:19.157677Z digest=sha256:c35119bd71e105d19b95815cecd2df4316a7e5b1b44be9c35df445ef54e159cd

Observation c0a2dd45-e473-4b34-b16b-94e4722e5837 · outbound

This paper cites Acharya, I.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Acharya, I

Reference 6

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source=pdf_text observed=2026-08-07T00:48:19.218136Z digest=sha256:4c41206575475b33833905a0986d98da4b0034e596717d61424ad6dade5807da

Observation e4495f57-1880-4c66-a5bd-00b3b012cdfb · outbound

This paper cites Georgescu, Nature Reviews Physics 2, 519 (2020).

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Georgescu, Nature Reviews Physics 2, 519 (2020)

Reference 7

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source=pdf_text observed=2026-08-07T00:48:19.260213Z digest=sha256:63580819ce06cbf669397248e14c4485c88688c83b23419da26b0f1d5897ca11

Observation 0d446337-7263-4d8a-b964-40cfe6a3926e · outbound

This paper cites Ponte, Z.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Ponte, Z

Reference 8

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source=pdf_text observed=2026-08-07T00:48:19.649540Z digest=sha256:55ac0baa5b2f6a82cf2ac3738e00f6cf73dab2ee4c67f514cd68ba4c09a7557a

Observation 6481bae1-dc56-4532-99e6-f0280ab9ec83 · outbound

This paper cites Generalized quantum subspace expansion.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Generalized quantum subspace expansion

Reference 9

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source=pdf_text observed=2026-08-07T00:48:19.383710Z digest=sha256:a11c14951261ef22ff3d79d5de0304c94b70c5b0b1976b9a2b275f5b30e5038d

Observation c0934f18-023f-4380-8140-50eef799a2a4 · outbound

This paper cites Quantum chaos is also used for computing by various ways.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Quantum chaos is also used for computing by various ways

Reference 10

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source=pdf_text observed=2026-08-07T00:48:19.002206Z digest=sha256:9dfbfcc29cbaf3366268201a3cea404a8de09557c147252c77f7fd88ba2defcc

Observation 4da6c368-2020-42b7-9197-e8c0267b386d · outbound

This paper cites Cai, Quantum 5, 548 (2021).

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Cai, Quantum 5, 548 (2021)

Reference 11

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source=pdf_text observed=2026-08-07T00:48:19.496705Z digest=sha256:2b7a60aec13093b3b635650f9a01ebf51c46148f98db13aa7244473293a8bc49

Observation eb10a4f4-27dd-4209-94e0-d3418accd1e2 · outbound

This paper cites Integrable systems and complex geometry.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Integrable systems and complex geometry

Reference 12

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Observation 9cce5e78-3d99-4d27-88e0-d6450fca9423 · outbound

This paper cites an unresolved cited work.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Unresolved cited work

Reference 13

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source=pdf_text observed=2026-08-07T00:48:19.737482Z digest=sha256:0ce6b4665fb042742cd21d1d81ca94893d9e527c996de1b2f3a1ae54db76aa65

Observation 85d50386-b637-4ff6-be52-596d5e130034 · outbound

This paper cites an unresolved cited work.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Unresolved cited work

Reference 14

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source=pdf_text observed=2026-08-07T00:48:19.793133Z digest=sha256:363cd3c5c0ed83de22d3f25aca6f6753dd93fa9edd913790a29c88937a0559d1

Observation 22be8232-a70f-460a-a325-42b079d686a2 · outbound

This paper cites Zhang and L.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Zhang and L

Reference 15

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source=pdf_text observed=2026-08-07T00:48:19.864079Z digest=sha256:b4774b7967b0d25d26d62fda321e581c493f2489bf47beadb71188ae6b768da3

Observation 8ea7f627-9fb2-447b-8a12-c84c4ae2149e · outbound

This paper cites New Reservoir Computing Kernel Based on Chaotic Chua Circuit and Investigating Application to Post-Quantum Cryptography.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods New Reservoir Computing Kernel Based on Chaotic Chua Circuit and Investigating Application to Post-Quantum Cryptography

Reference 16

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source=pdf_text observed=2026-08-07T00:48:19.908306Z digest=sha256:06b756d63dcc5e1c2efead4fa0367af38fb720ece74181745b71f89428d50a85

Observation 233b07f5-ee95-46df-be1a-0667f1532c38 · outbound

This paper cites Zhong, Q.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Zhong, Q

Reference 17

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source=pdf_text observed=2026-08-07T00:48:19.950714Z digest=sha256:4b3d7435119bb17f5e73378bb070f120394f1f281ac661cc0b7a3575de9bd322

Observation 56b773be-7bde-4c93-98b8-7c8b21c8a67a · outbound

This paper cites Feedback-driven quantum reservoir computing for time-series analysis.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Feedback-driven quantum reservoir computing for time-series analysis

Reference 18

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source=pdf_text observed=2026-08-07T00:48:20.031181Z digest=sha256:eb7069a64ce5acb53b9beaf79a99aa26adf8490acce9b3cffb13f45765e754e0

Observation 5d0a9b49-6379-4fb2-977c-1b7c0ba70f81 · outbound

This paper cites Emergence of Navier-Stokes hydrodynamics in chaotic quantum circuits.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Emergence of Navier-Stokes hydrodynamics in chaotic quantum circuits

Reference 19

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source=pdf_text observed=2026-08-07T00:48:20.102280Z digest=sha256:b1afee44eccf39bd8b64eb88c4c6ad31b28c566c7b3e6f7c6fb7547e22b46f5e

Observation cc77a39d-2fb2-4446-9524-d33bbb4b7d89 · outbound

This paper cites an unresolved cited work.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Unresolved cited work

Reference 20

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source=pdf_text observed=2026-08-07T00:48:20.218752Z digest=sha256:255e98b424b71b6ac2776f01f3288ebab369d24a16acf94304cac6e87b2cedf4

Observation 8e97a0bb-d2ad-4ed5-9eb2-8cae84f2d514 · outbound

This paper cites Chaotic Roots of the Modular Multiplication Dynamical System in Shor's Algorithm.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Chaotic Roots of the Modular Multiplication Dynamical System in Shor's Algorithm

Reference 21

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source=pdf_text observed=2026-08-07T00:48:20.313220Z digest=sha256:5b30333e9a071dc135c40028e982c41a5f63f4e5adfa14d70d2f419c29f3faeb

Observation a0b6ebb7-aae0-44cf-bbb4-eb8901cc3503 · outbound

This paper cites Quantum Time Crystals.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Quantum Time Crystals

Reference 22

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Observation fdbb88d4-f808-4461-9dd4-09452ef3956a · outbound

This paper cites Discrete Time Crystals.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Discrete Time Crystals

Reference 23

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source=pdf_text observed=2026-08-07T00:48:20.491511Z digest=sha256:7bd9f5a65111397e3416b4b1e29438bc1f4cb0e4629bf5d774965ff0e02e0c43

Observation 5327f549-946b-4a08-9f19-0d348452790f · outbound

This paper cites Digital Quantum Simulation of Floquet Topological Phases with a Solid-State Quantum Simulator.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Digital Quantum Simulation of Floquet Topological Phases with a Solid-State Quantum Simulator

Reference 24

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source=pdf_text observed=2026-08-07T00:48:20.606930Z digest=sha256:a3ef4a0268f6dbe677aac05bda5a6431ab77665faf5b2efcb74dc423f43d9d74

Observation c5b6c1c0-402d-49e9-9a2f-f8d0d070fe48 · outbound

This paper cites Autti, P.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Autti, P

Reference 25

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Observation 682a3727-5f86-469d-b91e-66bdb2a3276c · outbound

This paper cites Wyld, David C.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Wyld, David C

Reference 26

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source=pdf_text observed=2026-08-07T00:48:20.778556Z digest=sha256:e2cb62667b1ec7fad71af0a2307d81b4a0d0b16b1c532759d43a4ee1313be133

Observation 31c33f91-d190-4de7-ae5b-3258e5e8e7f1 · outbound

This paper cites Quantum Variational Autoencoder.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Quantum Variational Autoencoder

Reference 27

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source=pdf_text observed=2026-08-07T00:48:20.880378Z digest=sha256:effe448607fec115d489bced1a8aa9b6bd26cf32dfb68f2c732349c5abacf8bd

Observation 14fb0c7e-3dc1-4f33-8409-b45e33d93ae4 · outbound

This paper cites Supervised learning with quantum enhanced feature spaces.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Supervised learning with quantum enhanced feature spaces

Reference 28

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source=pdf_text observed=2026-08-07T00:48:21.044755Z digest=sha256:34898c8cac4bb185b6228e35e3dcacb2b0458b0ec47733640df4b0faf0d152fe

Observation 952d7e73-da9a-4498-8d66-197cb1d8134d · outbound

This paper cites Quantum support vector machine for big data classification.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Quantum support vector machine for big data classification

Reference 29

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Observation f7efea66-bf96-4b9f-94d4-c3a1cab65ddc · outbound

This paper cites Completely Quantum Neural Networks.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Completely Quantum Neural Networks

Reference 30

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source=pdf_text observed=2026-08-07T00:48:21.274789Z digest=sha256:8b9169387169100b874356db134c884ece698690012f21001c6555712d5b9636

Observation 93857312-5b5a-464f-85b1-068008a444e8 · outbound

This paper cites Quantum Distributed Deep Learning Architectures: Models, Discussions, and Applications.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Quantum Distributed Deep Learning Architectures: Models, Discussions, and Applications

Reference 31

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Observation ecc2ccb6-7046-4f49-b0e5-c79fc3aadeb0 · outbound

This paper cites Differentiable Learning of Quantum Circuit Born Machine.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Differentiable Learning of Quantum Circuit Born Machine

Reference 32

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Observation 4bfd7082-6463-436e-9b42-a5b4080234f6 · outbound

This paper cites Kassal, J.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Kassal, J

Reference 33

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source=pdf_text observed=2026-08-07T00:48:21.779014Z digest=sha256:4238b0e9587ab4e141aaf3d51cc81f439b3a3324c86bfe9c4188158c057c3331

Observation 92b25065-89c9-402b-bcdf-5612736f35d3 · outbound

This paper cites an unresolved cited work.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Unresolved cited work

Reference 34

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T00:48:21.919209Z digest=sha256:e660add3fdc4d96a2898444d4e51a9ff8d93fd2ce3274271daa8f7a17a3f6170

Observation 20d4aed2-d017-4fbf-8142-d67162bf7899 · outbound

This paper cites An adaptive variational algorithm for exact molecular simulations on a quantum computer.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods An adaptive variational algorithm for exact molecular simulations on a quantum computer

Reference 35

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source=pdf_text observed=2026-08-07T00:48:22.187417Z digest=sha256:7c5e94fc08cc49fdb95aaba5354ed106c318b60cc1c82997e03be5bd63e6a7c2

Observation 536a4f95-c811-4f14-ab93-cc57d85f516c · outbound

This paper cites Hybrid Quantum/Classical Derivative Theory: Analytical Gradients and Excited-State Dynamics for the Multistate Contracted Variational Quantum Eigensolver.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Hybrid Quantum/Classical Derivative Theory: Analytical Gradients and Excited-State Dynamics for the Multistate Contracted Variational Quantum Eigensolver

Reference 36

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source=pdf_text observed=2026-08-07T00:48:22.390656Z digest=sha256:baae146c951f174e3546f40f535521faab3b16d07afa86c39ec949ca7c4ee186

Observation 613a761c-768e-46ef-8d85-9bc55e45cfe3 · outbound

This paper cites Tangent Vector Variational Quantum Eigensolver: A Robust Variational Quantum Eigensolver against the inaccuracy of derivative.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Tangent Vector Variational Quantum Eigensolver: A Robust Variational Quantum Eigensolver against the inaccuracy of derivative

Reference 37

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local_arxiv, observed 2026-08-07T00:48:25.703538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 00ccfaf2-36be-4f52-8481-e089fde5dba2 · outbound

This paper cites Genetic-Multi-initial Generalized VQE: Advanced VQE method using Genetic Algorithms then Local Search.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Genetic-Multi-initial Generalized VQE: Advanced VQE method using Genetic Algorithms then Local Search

Reference 38

Resolution
verified exact
local_arxiv, observed 2026-08-07T00:48:24.945565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T00:48:22.775295Z digest=sha256:bb169362f9a1d3fa75b7f62e072d21fd6e0e3c34868f9772933df2776a2654d3

Observation e3443994-778c-4b12-8ae5-c21ccf31012b · outbound

This paper cites Wakaura, A.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Wakaura, A

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-07T00:48:22.941833Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:48:22.941833Z digest=sha256:ca3c232cfe21328b8883251cef41894c38268b7abecbc34e346d729c1e4f0c4a

Observation 6d4a1c06-84a7-484f-a8b3-eb90d0c60a60 · outbound

This paper cites Adaptive Variational Quantum Kolmogorov-Arnold Network.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Adaptive Variational Quantum Kolmogorov-Arnold Network

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-07T00:48:23.028135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:48:23.028135Z digest=sha256:604316354debb0918c64db75f14689d14ad7df9aab86b96ac1d83e395ac4080a

Observation f91460aa-6b0b-455d-b78f-c6dff4af985d · outbound

This paper cites Enhanced Variational Quantum Kolmogorov-Arnold Network.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Enhanced Variational Quantum Kolmogorov-Arnold Network

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-07T00:48:23.184161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:48:23.184161Z digest=sha256:06c02bc591d400a680cfa70e92b90a874b0f4a7312cf0f5cd6e84a12d67710a4

Observation 5481f8ce-735d-42da-b514-82eecf32ca54 · outbound

This paper cites The CMA Evolution Strategy: A Tutorial.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods The CMA Evolution Strategy: A Tutorial

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-07T00:48:23.378493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:48:23.378493Z digest=sha256:fcb2b662e287b724c8ec2098f3e385b91e1df9a2619a32c646857f6fa7fdf134

Observation 92a21e4f-f328-4311-a076-4e03f002899f · outbound

This paper cites Toida, K.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods Toida, K

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:48:28.212324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T00:48:24.186574Z digest=sha256:2c6d26b9c5204408699039b2357ac828476c52ab50c36f3021f63055c9f71188

Pith citing papers

Observation 7fdbf2ee-5a6b-43f4-b27d-856c6178f03d · inbound

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods cites this paper.

The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods The effect of Quantum Time Crystal Computing to Quantum Machine Learning methods

Reference 3

Resolution
verified exact
local_arxiv, observed 2026-08-07T00:48:27.969894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T00:48:18.956553Z digest=sha256:cb817710ab066830f86e6675817fb67ba02e0944ea47378a97fffa5c8d13c530