Paper Citation Record · LEDGER

Pattern Formation in Quantum Hierarchical Cellular Neural Networks

As of 9 August 2026, this Paper Citation Record lists 53 of 53 outbound references and 1 inbound Pith citation observation for arXiv:2603.27063.

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

pith.paper-citation-record.v1
2603.27063 v2

Coverage vector

measured 53 of 53 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-13T17:14:24.487150Z

measured 54 of 54 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-05-20T07:46:38.373072Z

measured 1 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

53 of 53 outbound references displayed

verified exact14
verified fuzzy0
unresolved39
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

0
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

Observation 7216640f-670f-4b61-80b3-a4ae2b9089de · outbound

This paper cites Cellular neural networks and visual computing: foundations and applica- tions.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Cellular neural networks and visual computing: foundations and applica- tions

Reference 1

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Observation 13491341-b52f-4ab3-ac5c-59822e7f368b · outbound

This paper cites an unresolved cited work.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Unresolved cited work

Reference 2

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Observation bed13a02-dfe0-4fb4-b68b-66e846ee45b6 · outbound

This paper cites Cellular neural networks: dynamics and modelling.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Cellular neural networks: dynamics and modelling

Reference 3

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Observation 2b1853a0-fe18-41f2-b188-17a58c8ee13a · outbound

This paper cites R., Cowan J.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks R., Cowan J

Reference 4

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Observation 0e7fba90-1ff4-4086-8fce-bc088b7b8138 · outbound

This paper cites R., Cowan J.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks R., Cowan J

Reference 5

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Observation 357825cb-549d-415a-ab53-5e14dddd4976 · outbound

This paper cites Theory and applications.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Theory and applications

Reference 6

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Observation 0d4852a3-e61a-43a8-b373-d62bdf5150f6 · outbound

This paper cites S., Tougaw P.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks S., Tougaw P

Reference 7

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Observation 5969436a-af28-4d73-b284-77597cdb88f4 · outbound

This paper cites an unresolved cited work.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-07-13T17:14:24.487150Z

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Observation 832ed115-6c7f-4b2e-8870-5dffe1dc0e40 · outbound

This paper cites & Krylov, V.A.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks & Krylov, V.A

Reference 9

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Observation 4b832a74-9f25-4f50-b1c0-08a8e9f69502 · outbound

This paper cites & Elitzur, A.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks & Elitzur, A

Reference 10

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Observation b4a88079-8776-4123-a483-c6c45b436e81 · outbound

This paper cites Sundaram.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Sundaram

Reference 11

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Observation 74bfaea5-5442-4f9d-ae23-c61787d7447c · outbound

This paper cites C., Chandrashekar V., Wang Z., Belur C.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks C., Chandrashekar V., Wang Z., Belur C

Reference 12

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Observation 659f725d-bca3-4273-a5d7-3e5a5123a295 · outbound

This paper cites C., Nash L.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks C., Nash L

Reference 13

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Observation 16d3f0df-be2e-49c5-9b44-131d1fe07e3a · outbound

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Pattern Formation in Quantum Hierarchical Cellular Neural Networks Unresolved cited work

Reference 14

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Observation 76b434f8-7675-4d5f-9d7a-7a10350d5687 · outbound

This paper cites & Petruccione, F.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks & Petruccione, F

Reference 15

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Observation ef512a7b-130f-426b-b46e-9b34b6630a38 · outbound

This paper cites & Singh, J.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks & Singh, J

Reference 16

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Observation 5b12dbea-a5a3-4651-8733-7d19ca33498e · outbound

This paper cites An image denoising method based on the nonlinear Schr¨ odinger equation and spectral subband decomposition.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks An image denoising method based on the nonlinear Schr¨ odinger equation and spectral subband decomposition

Reference 17

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Observation 0090f647-6629-4f87-b7b4-14eb7f35f8b0 · outbound

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Pattern Formation in Quantum Hierarchical Cellular Neural Networks Unresolved cited work

Reference 18

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Observation c2955f9a-bb9f-458e-bbbc-e143268fd6ed · outbound

This paper cites and Zeevi Y.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks and Zeevi Y

Reference 19

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Observation e0985741-1d15-4c3b-8abc-14c9d14ad770 · outbound

This paper cites A., Z´ u˜ niga-Galindo W.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks A., Z´ u˜ niga-Galindo W

Reference 20

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Observation 4541ab54-caf4-4cbe-9031-7b1f55971008 · outbound

This paper cites A., Z´ u˜ niga-Galindo W.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks A., Z´ u˜ niga-Galindo W

Reference 21

Resolution: unresolved; no resolver link, observed 2026-07-13T17:14:24.487150Z

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Observation 346e9c60-dd37-4003-802e-11d1fc437727 · outbound

This paper cites Hierarchical Neural Networks,p- Adic PDEs, and Applications to Image Processing.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Hierarchical Neural Networks,p- Adic PDEs, and Applications to Image Processing

Reference 22

Resolution: unresolved; no resolver link, observed 2026-07-13T17:14:24.487150Z

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Observation e3008649-55b0-4513-936f-cd74b1944414 · outbound

This paper cites Quantum computation and decision trees.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Quantum computation and decision trees

Reference 23

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Observation bb5e2a17-61e8-4a82-9fbf-12349a374340 · outbound

This paper cites Continuous-time quantum walks: models for coherent transport on complex networks.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Continuous-time quantum walks: models for coherent transport on complex networks

Reference 24

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Observation 8c6cd75f-8705-4324-8a01-e22536ed9744 · outbound

This paper cites Quantum walks: a comprehensive review.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Quantum walks: a comprehensive review

Reference 25

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Observation 8712a8a6-bdfc-4d2b-9bf1-72b8583fabdb · outbound

This paper cites and Goldstone, J., 2004.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks and Goldstone, J., 2004

Reference 26

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Observation 736a19dc-9ea4-417a-98d6-0675f5665059 · outbound

This paper cites A., 2-Adic quantum mechanics, continuous-time quantum walks, and the space discreteness.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks A., 2-Adic quantum mechanics, continuous-time quantum walks, and the space discreteness

Reference 27

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Observation 7e383e2b-54de-4063-bcc8-f585f379c62a · outbound

This paper cites A., Mayes Nathanniel P.p-Adic quantum mechanics, infinite po- tential wells, and continuous-time quantum walks.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks A., Mayes Nathanniel P.p-Adic quantum mechanics, infinite po- tential wells, and continuous-time quantum walks

Reference 28

Resolution: verified exact; doi, observed 2026-07-13T17:19:46.857678Z

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Observation c73db442-5fdd-4942-a4d0-63b946cf34ca · outbound

This paper cites A., Chac´ on-Cort´ es L.F.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks A., Chac´ on-Cort´ es L.F

Reference 29

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Observation bb87aee4-3edf-4372-a51d-ec60205d6ab2 · outbound

This paper cites Hierarchical Wilson–Cowan Models and Connection Ma- trices.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Hierarchical Wilson–Cowan Models and Connection Ma- trices

Reference 30

Resolution: verified exact; doi, observed 2026-07-13T17:19:46.895182Z

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Observation 427e208b-25d7-4955-bcc7-13ea4c237683 · outbound

This paper cites Nonlinear Schr¨ odinger equation on graphs: recent results and open problems.Philos.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Nonlinear Schr¨ odinger equation on graphs: recent results and open problems.Philos

Reference 31

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Observation 45ac51aa-6d1e-4512-adf0-42daa9d45aef · outbound

This paper cites Quantum Graph Neural Networks.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Quantum Graph Neural Networks

Reference 32

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Observation b75f8582-08ae-4a83-875d-e5adc1f51951 · outbound

This paper cites From Graphs to Qubits: A Critical Review of Quantum Graph Neural Networks.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks From Graphs to Qubits: A Critical Review of Quantum Graph Neural Networks

Reference 33

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Observation 71b9a949-585f-4ab1-af93-4edf9c0d1578 · outbound

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Pattern Formation in Quantum Hierarchical Cellular Neural Networks S., Volovich I

Reference 34

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Observation d6d00a3c-23b9-4b89-8206-78cb6a49e256 · outbound

This paper cites A.p-Adic Analysis: Stochastic Processes and Pseudo-Differential Equations.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks A.p-Adic Analysis: Stochastic Processes and Pseudo-Differential Equations

Reference 35

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Pattern Formation in Quantum Hierarchical Cellular Neural Networks Unresolved cited work

Reference 36

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Observation ded87d62-f822-49da-a6fc-343e8b5d032c · outbound

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Pattern Formation in Quantum Hierarchical Cellular Neural Networks Y., Shelkovich V

Reference 37

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Pattern Formation in Quantum Hierarchical Cellular Neural Networks Unresolved cited work

Reference 38

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Observation 14e984d4-12dc-4714-9355-893c05a786c8 · outbound

This paper cites Pseudo-differential equations and stochastics over non-Archimedean fields.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Pseudo-differential equations and stochastics over non-Archimedean fields

Reference 39

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Observation 63676d87-00ec-4119-a33a-e02cc21420c0 · outbound

This paper cites Measure Theory.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Measure Theory

Reference 40

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Observation 80bb5953-9f79-478e-a1de-53b7d5bc9fb7 · outbound

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Pattern Formation in Quantum Hierarchical Cellular Neural Networks Unresolved cited work

Reference 41

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Observation e8d0038a-a877-418f-aebe-301b39d95e8c · outbound

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Pattern Formation in Quantum Hierarchical Cellular Neural Networks T., Jefferson R

Reference 42

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Observation 9d1e28ad-54ed-4091-98fa-c6981323fda0 · outbound

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Pattern Formation in Quantum Hierarchical Cellular Neural Networks Unresolved cited work

Reference 43

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Observation 70b147ea-5ec9-4c19-8e61-bbfe6b823f7b · outbound

This paper cites , and Sommers H.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks , and Sommers H

Reference 44

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Observation ad1b819f-28d8-43eb-b4d6-f75952637016 · outbound

This paper cites Conservation laws for a perturbed resonant nonlinear Schr¨ odinger equation in quantum fluid dynamics and quantum optics.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Conservation laws for a perturbed resonant nonlinear Schr¨ odinger equation in quantum fluid dynamics and quantum optics

Reference 45

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Observation 58724356-4b68-476b-bf75-1ebb6ea70ed4 · outbound

This paper cites Habituation revisited: an updated and revised description of the behavioral characteristics of habituation.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Habituation revisited: an updated and revised description of the behavioral characteristics of habituation

Reference 46

Resolution: verified exact; doi, observed 2026-07-13T17:19:46.845198Z

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Observation e1198840-767b-4a5d-ab82-6b4eec84dfa9 · outbound

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Pattern Formation in Quantum Hierarchical Cellular Neural Networks Unresolved cited work

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-07-13T17:19:46.863303Z

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Observation cd47d1b1-8661-444c-88f2-1df0793c9dd7 · outbound

This paper cites Quantum-like representation of neuronal networks’ activity: mod- eling ”mental entanglement”.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Quantum-like representation of neuronal networks’ activity: mod- eling ”mental entanglement”

Reference 48

Resolution: verified exact; arxiv_id, observed 2026-07-13T17:19:46.873654Z

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Observation a2bc9677-86a8-4765-a1ef-ad13e18e522a · outbound

This paper cites Dynamic Synaptic Modulation of LMG Qubits populations in a Bio-Inspired Quantum Brain.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Dynamic Synaptic Modulation of LMG Qubits populations in a Bio-Inspired Quantum Brain

Reference 49

Resolution: verified exact; arxiv_id, observed 2026-08-04T02:30:24.035824Z

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Observation a88f98a5-7236-4624-b4a2-53e83ecab64a · outbound

This paper cites an unresolved cited work.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Unresolved cited work

Reference 50

Resolution: verified exact; doi, observed 2026-07-13T17:19:46.849896Z

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Observation 53c307e8-9c36-442f-9cd0-c76fe380c599 · outbound

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Pattern Formation in Quantum Hierarchical Cellular Neural Networks Unresolved cited work

Reference 51

Resolution: verified exact; doi, observed 2026-07-13T17:19:46.866855Z

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Observation 53ade29a-9062-490b-9b92-422771358be2 · outbound

This paper cites an unresolved cited work.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks Unresolved cited work

Reference 52

Resolution: unresolved; no resolver link, observed 2026-07-13T17:14:24.487150Z

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Observation 4dfc4ec3-6c70-4abb-a69c-8abc57f39860 · outbound

This paper cites An introduction to semilinear evolution equations.

Pattern Formation in Quantum Hierarchical Cellular Neural Networks An introduction to semilinear evolution equations

Reference 53

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Pith citing papers

Observation bdca2eb3-c1eb-41e1-b174-0c88c7ddd9df · inbound

Pseudo-Traveling Waves and Bumps in Quantum and Classical Hierarchical Cellular Neural Networks cites this paper.

Pseudo-Traveling Waves and Bumps in Quantum and Classical Hierarchical Cellular Neural Networks Pattern Formation in Quantum Hierarchical Cellular Neural Networks

Reference 12

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Source-reported events for the cited work

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