Paper Citation Record · LEDGER

Geometry of Krylov Complexity

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 34 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 34 of 34 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 34 of 34 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:15:39.209012Z

measured 0 of 1 external citation measurements

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

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

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

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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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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 2026-08-08T06:32:00.761636+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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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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Unavailable: canonical work link unavailable.

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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+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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Unavailable: canonical work link unavailable.

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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Unavailable: canonical work link unavailable.

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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Unavailable: canonical work link unavailable.

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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Unavailable: canonical work link unavailable.

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.