Paper Citation Record · LEDGER

Geometry of Krylov Complexity

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 43 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 43 of 43 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 43 of 43 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:29:29.074123Z

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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 959731a5-38c6-4ff0-9ed0-f648f75b50ff · inbound

Krylov Complexity in the Schr\"odinger Field Theory cites this paper.

Krylov Complexity in the Schr\"odinger Field Theory Geometry of Krylov Complexity

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-12T13:29:29.074123Z

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Observation 987e68ba-9dde-46da-b7cc-ec560c3dcbb6 · inbound

Revisit the relationship between spread complexity rate and radial momentum cites this paper.

Revisit the relationship between spread complexity rate and radial momentum Geometry of Krylov Complexity

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-12T10:31:30.237317Z

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Observation 6d6c626e-c3e6-48a8-a8bc-a42aab1325fe · inbound

Spread complexity and the saturation of wormhole size cites this paper.

Spread complexity and the saturation of wormhole size Geometry of Krylov Complexity

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-12T00:05:32.689133Z

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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

Resolution: verified exact; arxiv_id, observed 2026-05-23T07:17:42.467684Z

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Observation b216bb1c-dfbf-4cb8-9fc4-8f35baf6d0ad · inbound

Spread complexity for the planar limit of holography cites this paper.

Spread complexity for the planar limit of holography Geometry of Krylov Complexity

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T16:58:42.068171Z

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Observation 53ea6c34-1d22-40a8-a01c-4a78ea1be1cd · inbound

From black hole interior to quantum complexity through operator rank cites this paper.

From black hole interior to quantum complexity through operator rank Geometry of Krylov Complexity

Reference 25

Resolution: malformed identifier; no resolver link, observed 2026-08-11T11:41:01.205638Z

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Observation 9d3e1175-4001-4daf-aa1c-7fd147fd8205 · inbound

Operator K-complexity in DSSYK: Krylov complexity equals bulk length cites this paper.

Operator K-complexity in DSSYK: Krylov complexity equals bulk length Geometry of Krylov Complexity

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-11T11:39:18.505889Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-11T00:00:02.153079Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-10T21:31:07.215770Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-09T04:50:16.781302Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-06T22:39:59.936981Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-06T21:56:08.788157Z

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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

Resolution: verified exact; arxiv_id, observed 2026-05-19T02:21:59.507452Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-03T21:05:58.946772Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-03T20:15:03.330302Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-03T17:58:41.697256Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-03T11:03:36.208190Z

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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

Resolution: verified exact; arxiv_id, observed 2026-05-16T14:17:59.409470Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-03T04:36:18.840182Z

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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

Resolution: verified exact; arxiv_id, observed 2026-05-16T06:07:25.639729Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-02T22:14:10.161191Z

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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

Resolution: verified exact; arxiv_id, observed 2026-05-15T13:10:49.813996Z

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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

Resolution: verified exact; arxiv_id, observed 2026-05-15T08:20:17.406879Z

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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

Resolution: verified exact; arxiv_id, observed 2026-05-10T22:20:48.375046Z

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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

Resolution: verified exact; arxiv_id, observed 2026-05-11T05:36:00.565410Z

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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

Resolution: verified exact; arxiv_id, observed 2026-05-11T03:15:55.524498Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: verified exact; arxiv_id, observed 2026-05-19T22:37:49.873634Z

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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

Resolution: verified exact; arxiv_id, observed 2026-05-25T05:50:24.466247Z

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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

Resolution: verified exact; arxiv_id, observed 2026-06-30T19:15:00.518827Z

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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

Resolution: verified exact; arxiv_id, observed 2026-05-20T10:23:12.120703Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: metadata mismatch; arxiv_id, observed 2026-06-29T13:13:28.107343Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-02T13:01:50.681294Z

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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

Resolution: metadata mismatch; arxiv_id, observed 2026-07-04T05:39:39.971675Z

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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

Resolution: metadata mismatch; arxiv_id, observed 2026-07-01T07:05:28.840911Z

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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

Resolution: verified exact; arxiv_id, observed 2026-07-04T07:39:38.660191Z

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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

Resolution: metadata mismatch; arxiv_id, observed 2026-07-04T12:19:49.363199Z

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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

Resolution: verified exact; arxiv_id, observed 2026-07-03T19:28:51.747342Z

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No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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

Resolution: unresolved; no resolver link, observed 2026-07-11T21:56:11.527892Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-02T08:52:51.745012Z

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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

Resolution: unresolved; no resolver link, observed 2026-07-14T08:17:10.162534Z

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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

Resolution: unresolved; no resolver link, observed 2026-08-01T18:19:15.482571Z

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

Krylov-Space Memory Cores cites this paper.

Krylov-Space Memory Cores Geometry of Krylov Complexity

Reference 82

Resolution: unresolved; no resolver link, observed 2026-08-01T00:56:36.004678Z

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Observation f84fdb0b-8193-4ccf-accf-04c5ee6b222f · inbound

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

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

Reference 91

Resolution: unresolved; no resolver link, observed 2026-08-07T00:15:39.209012Z

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Unavailable: canonical work link unavailable.