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Paper Citation Record · LEDGER

Geometry of Krylov Complexity

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 37 inbound Pith citation observations for arXiv:2109.03824.

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

pith.paper-citation-record.v1
2109.03824 v2

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measured 37 of 37 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 37 of 37 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T00:00:02.153079Z

measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-07-04T12:19:49.361463Z

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Outbound references

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Pith citing papers

Observation 1879e15b-aedb-4511-9f08-798fd890528d · inbound

Generalized CV Conjecture and Krylov Complexity in Two-Mode Hermitian Systems via Information Geometry cites this paper.

Generalized CV Conjecture and Krylov Complexity in Two-Mode Hermitian Systems via Information Geometry Geometry of Krylov Complexity

Reference 52

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arxiv_id, observed 2026-05-23T07:17:42.467684Z

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source=pdf_text observed=2026-05-23T07:16:44.979654Z digest=sha256:fc3e385a55d0baab385b217d02a6c590568b47d445a7277b4cf5d8064cdb7852

Observation b128095c-e736-4588-969c-17b377dbbe3d · inbound

Streamlined Krylov construction and classification of ergodic Floquet systems cites this paper.

Streamlined Krylov construction and classification of ergodic Floquet systems Geometry of Krylov Complexity

Reference 40

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source=pdf_text observed=2026-08-11T00:00:02.153079Z digest=sha256:8ecc662770c7b180b7757904fc5fd87475c7bc5aabfba82322ac3c3a9ecd5169

Observation 9010e9da-7efd-48bc-a1a3-c91c93f5ff75 · inbound

Phase Transitions in Quasi-Periodically Driven Quantum Critical Systems: Analytical Results cites this paper.

Phase Transitions in Quasi-Periodically Driven Quantum Critical Systems: Analytical Results Geometry of Krylov Complexity

Reference 71

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source=pdf_text observed=2026-08-10T21:31:07.215770Z digest=sha256:4fea6ee8462b9e034cf15c142b55f05f6cbd1e148a35803ef87c3f19c5de0f56

Observation 86b63d91-5cb7-4805-aa58-bef8d90a7b31 · inbound

Dynamics of monitored SSH Model in Krylov Space: From Complexity to Quantum Fisher Information cites this paper.

Dynamics of monitored SSH Model in Krylov Space: From Complexity to Quantum Fisher Information Geometry of Krylov Complexity

Reference 64

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source=pdf_text observed=2026-08-09T04:50:16.781302Z digest=sha256:58b588c0f267f065f030cd9b9cdc7bd77377a8ddb8664b0be5349051d5c2f349

Observation f5da651e-c67f-47ca-8371-0892c76cb7f0 · inbound

Complexity of PXP scars revisited cites this paper.

Complexity of PXP scars revisited Geometry of Krylov Complexity

Reference 42

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source=pdf_text observed=2026-08-06T22:39:59.936981Z digest=sha256:9bea52565c407f714a81524af6930b5434af6542b54455d0b3f36e4970f0b73c

Observation a2070759-9902-41b9-8a4f-827ff8c821a6 · inbound

Trotterization, Operator Scrambling, and Entanglement cites this paper.

Trotterization, Operator Scrambling, and Entanglement Geometry of Krylov Complexity

Reference 5

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source=pdf_text observed=2026-08-06T21:56:08.788157Z digest=sha256:2654b85cce8029210c117c37f40c6c0695168ecee0827ae86e850039355eb3f6

Observation 34edcbc1-3246-45ab-b7f8-9aea1d2c42c5 · inbound

Universal Time Evolution of Holographic and Quantum Complexity cites this paper.

Universal Time Evolution of Holographic and Quantum Complexity Geometry of Krylov Complexity

Reference 49

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arxiv_id, observed 2026-05-19T02:21:59.507452Z

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source=pdf_text observed=2026-05-19T02:18:35.187658Z digest=sha256:8118c58d65eac8a00ecad52d64a60675043b510b3f10c73887c395f2bd737279

Observation 1f5a3123-7716-4e4c-99d9-e8199a139085 · inbound

Quantum Cosmology in Krylov Space: Complexity and Entropy cites this paper.

Quantum Cosmology in Krylov Space: Complexity and Entropy Geometry of Krylov Complexity

Reference 30

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source=pdf_text observed=2026-08-03T21:05:58.946772Z digest=sha256:399c50e5e67c7ed26adf9c6204f5f858fc860e055887c783cc321131e5fed577

Observation d188c409-b9db-49c9-ad2d-f07eac4dfccc · inbound

Krylov Complexity of Supersymmetric SYK Models cites this paper.

Krylov Complexity of Supersymmetric SYK Models Geometry of Krylov Complexity

Reference 51

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source=pdf_text observed=2026-08-03T20:15:03.330302Z digest=sha256:9ee12de1ed801181fa45bac88055088d79e87c0a7161265569427d621553e00b

Observation 771ddbc9-ea98-482b-adc2-0095c02dc329 · inbound

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model cites this paper.

Grand Canonical vs Canonical Krylov Complexity in Double-Scaled Complex SYK Model Geometry of Krylov Complexity

Reference 40

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source=pdf_text observed=2026-08-03T17:58:41.697256Z digest=sha256:f87648a7cc81070f4434f5a01bcf09f963f19a357fa34901091ae2295bccb826

Observation 901d13ee-739a-4509-a9ba-f52fbb346533 · inbound

Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients cites this paper.

Attention in Krylov Space: Transformer-Based Extrapolation of Lanczos Coefficients Geometry of Krylov Complexity

Reference 17

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source=pdf_text observed=2026-08-03T11:03:36.208190Z digest=sha256:916707f07d84b6b911a1646326bdfa1b67fec08df27d9ac66a0ea9dab49319eb

Observation 62435d6f-f5e7-44e3-82f7-dc664f41a762 · inbound

Probing the Chaos to Integrability Transition in Double-Scaled SYK cites this paper.

Probing the Chaos to Integrability Transition in Double-Scaled SYK Geometry of Krylov Complexity

Reference 99

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arxiv_id, observed 2026-05-16T14:17:59.409470Z

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source=pdf_text observed=2026-05-16T14:15:15.772460Z digest=sha256:7ade4255ce7d44f7c9de3d1d2699d6001cc87d0a253ea57bfebf2cf8974204c6

Observation a233b6e9-f479-4ab8-b88a-a98e12ff8c09 · inbound

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity cites this paper.

Emergence of Krylov complexity through quantum walks: An exploration of the quantum origins of complexity Geometry of Krylov Complexity

Reference 37

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source=pdf_text observed=2026-08-03T04:36:18.840182Z digest=sha256:31ce6985d1b11d5873b3062f6f9e6bb828f52760e72a8e569d55a3791b4901e3

Observation ddf1d1b7-1b18-4e54-8f95-9f33a74e013d · inbound

Krylov Subspace Dynamics as Near-Horizon AdS$_2$ Holography cites this paper.

Krylov Subspace Dynamics as Near-Horizon AdS$_2$ Holography Geometry of Krylov Complexity

Reference 26

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arxiv_id, observed 2026-05-16T06:07:25.639729Z

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source=pdf_text observed=2026-05-16T06:06:44.386970Z digest=sha256:3d2dffe76eca757c3aa457872d5924d4f9230da69f5362ddcbbd3f7153e68002

Observation 81bd5ac9-0244-4413-9953-adf4f1d7c326 · inbound

Krylov Complexity, Confinement and Universality cites this paper.

Krylov Complexity, Confinement and Universality Geometry of Krylov Complexity

Reference 5

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source=pdf_text observed=2026-08-02T22:14:10.161191Z digest=sha256:1f39576ae2bbe1bdd014cda440789dcad778070e2bf06d514f2fc485337b212d

Observation fa100b3e-c058-4125-9ff7-c3879310a24d · inbound

Complexity and Operator Growth in Holographic 6d SCFTs cites this paper.

Complexity and Operator Growth in Holographic 6d SCFTs Geometry of Krylov Complexity

Reference 7

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arxiv_id, observed 2026-05-15T13:10:49.813996Z

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source=pdf_text observed=2026-05-15T13:10:04.376356Z digest=sha256:aa5c6bab378665cf64b10e26afaff48a0b14dddd5af7afc77345bd11d9d1b2c6

Observation 29a21204-f2c3-4670-b80a-ee5ed13e3f6b · inbound

Towards a Refinement of Krylov Complexity: Scrambling, Classical Operator Growth and Replicas cites this paper.

Towards a Refinement of Krylov Complexity: Scrambling, Classical Operator Growth and Replicas Geometry of Krylov Complexity

Reference 59

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source=pdf_text observed=2026-05-15T08:20:09.796633Z digest=sha256:34ef55d4f26afb4ca1235981580678e74ef58f721574d64f1ec3298b316d1834

Observation f3d4ac79-1850-46d5-bff8-3c86d1b0d440 · inbound

Symmetry-resolved Krylov Complexity and the Uncoloured Tensor Model cites this paper.

Symmetry-resolved Krylov Complexity and the Uncoloured Tensor Model Geometry of Krylov Complexity

Reference 35

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arxiv_id, observed 2026-05-10T22:20:48.375046Z

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source=pdf_text observed=2026-05-10T19:58:39.417247Z digest=sha256:a434d629bf33032cd835635edfa59d327de99125624333e0848ee08d0ba4ee32

Observation b6a61437-ea58-4b68-aaa0-2ff78bd8f5dc · inbound

Holographic Krylov Complexity for Charged, Composite and Extended Probes cites this paper.

Holographic Krylov Complexity for Charged, Composite and Extended Probes Geometry of Krylov Complexity

Reference 5

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arxiv_id, observed 2026-05-11T05:36:00.565410Z

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source=pdf_text observed=2026-05-10T18:02:52.534128Z digest=sha256:a510e4febb1c821d22e4bf216174c061e3665712f0c4eec586298e472127aa90

Observation 7b27c4ad-a68c-4839-ace3-58d6cf084071 · inbound

Bridging Krylov Complexity and Universal Analog Quantum Simulator cites this paper.

Bridging Krylov Complexity and Universal Analog Quantum Simulator Geometry of Krylov Complexity

Reference 82

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arxiv_id, observed 2026-05-11T03:15:55.524498Z

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source=pdf_text observed=2026-05-11T02:35:22.825362Z digest=sha256:c597504b4bfa8c8cd1e440c854fbb79bde363c5f41afe47eb5fedd99ca10b961

Observation 57d4ac6d-6481-45bb-98dc-e819dd6202ae · inbound

Krylov Correlators in $\mathfrak{sl}(2,\mathbb R)$ Models: Exact Results and Holographic Complexity cites this paper.

Krylov Correlators in $\mathfrak{sl}(2,\mathbb R)$ Models: Exact Results and Holographic Complexity Geometry of Krylov Complexity

Reference 21

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arxiv_id, observed 2026-05-19T22:37:49.873634Z

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source=pdf_text observed=2026-05-19T22:33:40.924339Z digest=sha256:e94981bed245dfc325e435870e83d635308ac4c6763a4c9a1fee6cdaf1a31a44

Observation 055891c7-bea8-47b1-bdb4-cbdfd10ded34 · inbound

Krylov Correlators in $\mathfrak{sl}(2,\mathbb R)$ Models: Exact Results and Holographic Complexity cites this paper.

Krylov Correlators in $\mathfrak{sl}(2,\mathbb R)$ Models: Exact Results and Holographic Complexity Geometry of Krylov Complexity

Reference 22

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arxiv_id, observed 2026-05-25T05:50:24.466247Z

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source=pdf_text observed=2026-05-25T05:47:12.013847Z digest=sha256:2f0a42d6ab198751e3235c6cf477cb1d287143dfe53a760dded61e54815e34e8

Observation 117737da-ddd0-49be-a00f-e75657b40736 · inbound

Krylov Correlators in $\mathfrak{sl}(2,\mathbb R)$ Models: Exact Results and Holographic Complexity cites this paper.

Krylov Correlators in $\mathfrak{sl}(2,\mathbb R)$ Models: Exact Results and Holographic Complexity Geometry of Krylov Complexity

Reference 24

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arxiv_id, observed 2026-06-30T19:15:00.518827Z

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source=pdf_text observed=2026-06-30T19:11:39.162388Z digest=sha256:17e7094ef78c4f101ea04715ff2b44ffcbd94106d3cdc8458f2762a4ed9bc76c

Observation 9bde5ab8-6f85-446c-9793-52908dbfdf2f · inbound

Krylov complexity and fidelity susceptibility in two-band Hamiltonians cites this paper.

Krylov complexity and fidelity susceptibility in two-band Hamiltonians Geometry of Krylov Complexity

Reference 31

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arxiv_id, observed 2026-05-20T10:23:12.120703Z

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source=pdf_text observed=2026-05-20T10:20:27.767281Z digest=sha256:1a2fadb9d7d73d815e74dc85878892b4696c2393359e3785e22c070154250dcd

Observation ffd4e251-07b8-4043-8a60-cc539875fdb4 · inbound

Krylov complexity has it all cites this paper.

Krylov complexity has it all Geometry of Krylov Complexity

Reference 4

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arxiv_id, observed 2026-06-29T13:13:28.107343Z

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source=pdf_text observed=2026-06-29T11:13:49.715091Z digest=sha256:9bebff63e6a2d5902ab6bea1358b1fc51cd7bcaff4bd6b207af6f9f0b9db9f92

Observation 33c0daf8-af01-4c65-b4fd-418bca11691f · inbound

Krylov complexity has it all cites this paper.

Krylov complexity has it all Geometry of Krylov Complexity

Reference 4

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source=pdf_text observed=2026-08-02T13:01:50.681294Z digest=sha256:7055f0b0553013eb480ddb677e4067f2f6cc2d22b5202a10e8d13ed4854625c7

Observation 94781d47-b10f-4299-b472-4040ba5e0932 · inbound

Complexity Inequalities for Quantum Subsystems cites this paper.

Complexity Inequalities for Quantum Subsystems Geometry of Krylov Complexity

Reference 59

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arxiv_id, observed 2026-07-04T05:39:39.971675Z

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source=pdf_text observed=2026-06-26T15:49:11.884191Z digest=sha256:41a0611cc9630f995a62da1699615b697bae77db37991cd0d5d7a52283a0691e

Observation 0e07815a-468c-420c-9e99-13069e9777aa · inbound

Complexity Inequalities for Quantum Subsystems cites this paper.

Complexity Inequalities for Quantum Subsystems Geometry of Krylov Complexity

Reference 62

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arxiv_id, observed 2026-07-01T07:05:28.840911Z

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source=pdf_text observed=2026-07-01T07:01:18.198749Z digest=sha256:ff17df3cde93211430ee6a4924580b491544b8fa0dff95f20988a7e868e9000c

Observation 7c25ad36-30a6-4efe-99ff-3adeae98cba8 · inbound

On the Universality of Probe Complexity in $\mathcal{N}=4$ SYM cites this paper.

On the Universality of Probe Complexity in $\mathcal{N}=4$ SYM Geometry of Krylov Complexity

Reference 29

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arxiv_id, observed 2026-07-04T07:39:38.660191Z

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source=pdf_text observed=2026-06-26T13:16:57.370342Z digest=sha256:fbece5932995e5848328d1b403f491c6b095a0da193e25e08b637086d397099c

Observation 1c4946b5-4430-40cf-aef1-ddecad1070e7 · inbound

Controlled Chaos in 4D SCFTs cites this paper.

Controlled Chaos in 4D SCFTs Geometry of Krylov Complexity

Reference 15

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arxiv_id, observed 2026-07-04T12:19:49.363199Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-26T07:06:32.504627Z digest=sha256:944228baa9e14a85bf4df736f322ecc2fd34be6b8690a5fc78f02d1ab6d3ad8f

Observation e1b16dc8-5a3c-467b-b905-a8559e86a136 · inbound

Wigner negativity in Krylov space and emergent semiclassicality cites this paper.

Wigner negativity in Krylov space and emergent semiclassicality Geometry of Krylov Complexity

Reference 71

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arxiv_id, observed 2026-07-03T19:28:51.747342Z

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source=pdf_text observed=2026-07-03T19:27:01.063141Z digest=sha256:844b0d06276527481df72caadddd58d81e3090e0dd282630ead9724a41c242eb

Observation f7cce340-43fc-4cfd-b64d-5ddf25fededa · inbound

The Normalised Wigner Negativity Rate as a Second-Moment Probe of Infall in AdS$_3$ cites this paper.

The Normalised Wigner Negativity Rate as a Second-Moment Probe of Infall in AdS$_3$ Geometry of Krylov Complexity

Reference 18

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source=pdf_text observed=2026-07-11T21:56:11.527892Z digest=sha256:ebffa0d14e0999ef6aefac9e47321ab06170160c4c9f1bdaed7fa6e4fdaac410

Observation 98fae156-a2ff-4509-961a-d883338b5b6c · inbound

The Normalised Wigner Negativity Rate as a Second-Moment Probe of Infall in AdS$_3$ cites this paper.

The Normalised Wigner Negativity Rate as a Second-Moment Probe of Infall in AdS$_3$ Geometry of Krylov Complexity

Reference 19

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source=pdf_text observed=2026-08-02T08:52:51.745012Z digest=sha256:e4982f73d46619a08ed822cee1a4374be9fd78d502ef1e5a864f1edea884dd32

Observation 3f20d3ed-8b3f-497c-ae0e-616b7330c530 · inbound

Krylov Complexity from Loschmidt Amplitude cites this paper.

Krylov Complexity from Loschmidt Amplitude Geometry of Krylov Complexity

Reference 30

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:43ff84c7d10f5d377852eec373df06af81c6e5b571d091b8fc36ed7ad0d24c60

Observation 039579c9-342f-421c-b6ee-d857f99a67db · inbound

The Information Content of Krylov Observables: A Machine Learning Approach cites this paper.

The Information Content of Krylov Observables: A Machine Learning Approach Geometry of Krylov Complexity

Reference 10

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source=pdf_text observed=2026-08-01T18:19:15.482571Z digest=sha256:80a9832b8e9e7d219ddc0c4c28a290d7230a4c84831974ab63e4b7ef5a887487

Observation 9e4236a8-94f9-4c8f-bac7-aadfa7b8d067 · inbound

Krylov-Space Memory Cores cites this paper.

Krylov-Space Memory Cores Geometry of Krylov Complexity

Reference 82

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source=pdf_text observed=2026-08-01T00:56:36.004678Z digest=sha256:7c73610b290c5e185035b8c74591c4eee72f24654937659ea24605c8e64a131e

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Krylov Complexity and $c$-function along RG Flows cites this paper.

Krylov Complexity and $c$-function along RG Flows Geometry of Krylov Complexity

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