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Paper Citation Record · LEDGER

Krylov Complexity from Loschmidt Amplitude

As of 9 August 2026, this Paper Citation Record lists 66 of 66 outbound references and 0 inbound Pith citation observations for arXiv:2607.10921.

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

pith.paper-citation-record.v1
2607.10921 v1

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measured 66 of 66 reference resolution

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66 of 66 outbound references displayed

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Outbound references

Observation dd11b3ed-c047-480d-a5e4-2647d455d223 · outbound

This paper cites Just the 11 existence of|| F ||constrains the asymptotic growth of complexity through (43), as shown below in (47) and through the analysis of the kernel in Appendix A 3.

Krylov Complexity from Loschmidt Amplitude Just the 11 existence of|| F ||constrains the asymptotic growth of complexity through (43), as shown below in (47) and through the analysis of the kernel in Appendix A 3

Reference 1

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Observation 2f59b57b-73e8-4d6b-aa02-762de7792929 · outbound

This paper cites As long as the measure is even, meaning thata n continue to vanish,g tϕ = 0 and the metric is diagonal.

Krylov Complexity from Loschmidt Amplitude As long as the measure is even, meaning thata n continue to vanish,g tϕ = 0 and the metric is diagonal

Reference 2

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Observation 3641c9e0-d067-4bb5-92fc-f5829162ccdd · outbound

This paper cites Krylov- winding.

Krylov Complexity from Loschmidt Amplitude Krylov- winding

Reference 3

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Krylov Complexity from Loschmidt Amplitude Unresolved cited work

Reference 4

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Observation a8e89590-05c6-49c7-909f-8b3da27f35c8 · outbound

This paper cites Krylov Complexity.

Krylov Complexity from Loschmidt Amplitude Krylov Complexity

Reference 5

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Observation d9e24bbb-e7be-4a7d-829d-3d4fa3d8c89b · outbound

This paper cites Nandy, A.

Krylov Complexity from Loschmidt Amplitude Nandy, A

Reference 6

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Krylov Complexity from Loschmidt Amplitude Unresolved cited work

Reference 8

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Observation d0a114c7-3d72-4f38-bfde-056bf1e0a212 · outbound

This paper cites Caputa and S.

Krylov Complexity from Loschmidt Amplitude Caputa and S

Reference 9

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Observation bac7c6fe-806b-4713-acb3-50628d4746e1 · outbound

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Krylov Complexity from Loschmidt Amplitude Unresolved cited work

Reference 10

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Observation abdeb649-2213-4a27-a800-2c7be7206824 · outbound

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Krylov Complexity from Loschmidt Amplitude Unresolved cited work

Reference 11

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Observation 31218b30-2f6f-4a20-8fac-1ba969d05a4a · outbound

This paper cites Alishahiha and S.

Krylov Complexity from Loschmidt Amplitude Alishahiha and S

Reference 12

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Observation b81171e5-0516-4cb5-9dcd-30e607c95245 · outbound

This paper cites Caputa, N.

Krylov Complexity from Loschmidt Amplitude Caputa, N

Reference 13

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Observation 030fef1c-e319-40af-892a-ded7f5834be9 · outbound

This paper cites Erdmenger, S.-K.

Krylov Complexity from Loschmidt Amplitude Erdmenger, S.-K

Reference 14

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Observation cbcb6df4-4553-4789-9b70-24c37f617c7d · outbound

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Krylov Complexity from Loschmidt Amplitude Unresolved cited work

Reference 15

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Observation 7f356659-86b5-4bb6-b907-c2c37079130f · outbound

This paper cites Nandy, T.

Krylov Complexity from Loschmidt Amplitude Nandy, T

Reference 16

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Observation 66f831cd-c103-48c5-8d15-0eebc06d13ed · outbound

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Krylov Complexity from Loschmidt Amplitude Unresolved cited work

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Observation 0a4835cf-12ee-4e7e-8b93-e07632d8e6cd · outbound

This paper cites Ermakov and O.

Krylov Complexity from Loschmidt Amplitude Ermakov and O

Reference 18

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Observation c6ff72ac-b5de-48f1-931d-f5f58696fee6 · outbound

This paper cites Maldacena, S.

Krylov Complexity from Loschmidt Amplitude Maldacena, S

Reference 19

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Observation 119f6435-281b-4876-803c-988e7d6d990b · outbound

This paper cites Balasubramanian, P.

Krylov Complexity from Loschmidt Amplitude Balasubramanian, P

Reference 20

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Observation 0882d01e-6277-4133-90d5-8a59f4a5b4f2 · outbound

This paper cites Peres, Stability of quantum motion in chaotic and regular systems, Phys.

Krylov Complexity from Loschmidt Amplitude Peres, Stability of quantum motion in chaotic and regular systems, Phys

Reference 21

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Observation 9c843964-9ffd-43d4-b591-63387b5f2a3c · outbound

This paper cites Wisniacki, Loschmidt echo, Scholarpedia7, 11687 (2012).

Krylov Complexity from Loschmidt Amplitude Wisniacki, Loschmidt echo, Scholarpedia7, 11687 (2012)

Reference 22

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Observation 237fc853-462d-410f-87b7-1eb62fe4b14a · outbound

This paper cites Gorin, T.

Krylov Complexity from Loschmidt Amplitude Gorin, T

Reference 23

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Krylov Complexity from Loschmidt Amplitude Unresolved cited work

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Observation 26ad54a0-f31b-4c5b-baab-739cbdd52329 · outbound

This paper cites Jacquod, P.

Krylov Complexity from Loschmidt Amplitude Jacquod, P

Reference 25

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Observation ae7101e7-e556-477c-b5b2-908d955e4354 · outbound

This paper cites Jacquod, I.

Krylov Complexity from Loschmidt Amplitude Jacquod, I

Reference 26

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Observation 199fdfad-6d92-4cb4-a8f7-a763a1006466 · outbound

This paper cites Pandey, P.

Krylov Complexity from Loschmidt Amplitude Pandey, P

Reference 28

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Observation afdfd5ed-ec1d-4b02-bf2e-055ff305812e · outbound

This paper cites Szeg¨ o,Orthogonal Polynomials, Vol.

Krylov Complexity from Loschmidt Amplitude Szeg¨ o,Orthogonal Polynomials, Vol

Reference 29

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

This paper cites Geometry of Krylov Complexity.

Krylov Complexity from Loschmidt Amplitude Geometry of Krylov Complexity

Reference 30

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Observation 5526d2aa-e358-4d93-b54e-7183eb9a88a7 · outbound

This paper cites M¨ uck and Y.

Krylov Complexity from Loschmidt Amplitude M¨ uck and Y

Reference 31

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Observation 493ed89d-0226-4990-8ca1-88121f10e9df · outbound

This paper cites Murugan and H.

Krylov Complexity from Loschmidt Amplitude Murugan and H

Reference 32

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Observation ef3d3965-f5fe-4efa-9a9c-7f7e5599ce8b · outbound

This paper cites Bhattacharjee, P.

Krylov Complexity from Loschmidt Amplitude Bhattacharjee, P

Reference 33

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Observation 7bc38fb6-c6c0-489f-9a9f-016c5f54b003 · outbound

This paper cites Chakraborty and D.

Krylov Complexity from Loschmidt Amplitude Chakraborty and D

Reference 34

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Krylov Complexity from Loschmidt Amplitude Unresolved cited work

Reference 35

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Observation 1362b8e6-7fb1-48ef-8cf1-00d1e6283de6 · outbound

This paper cites A bulk manifestation of Krylov complexity.

Krylov Complexity from Loschmidt Amplitude A bulk manifestation of Krylov complexity

Reference 36

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Observation 3875fd53-ee56-4664-a096-1f8f314de280 · outbound

This paper cites On Chord Dynamics and Complexity Growth in Double-Scaled SYK.

Krylov Complexity from Loschmidt Amplitude On Chord Dynamics and Complexity Growth in Double-Scaled SYK

Reference 37

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Observation 41ea6b54-d1f4-4700-adb5-e43b940937dd · outbound

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Krylov Complexity from Loschmidt Amplitude Unresolved cited work

Reference 38

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Observation f24469f2-b527-4fce-98f1-08cb562e4ae7 · outbound

This paper cites Complexity measures in QFT and constrained geometric actions.

Krylov Complexity from Loschmidt Amplitude Complexity measures in QFT and constrained geometric actions

Reference 39

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Observation f969c9d3-99be-48c9-bd4d-53ced7669241 · outbound

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Krylov Complexity from Loschmidt Amplitude Unresolved cited work

Reference 40

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Observation cea43531-876f-4602-ac36-464c1baa5212 · outbound

This paper cites Balasubramanian, P.

Krylov Complexity from Loschmidt Amplitude Balasubramanian, P

Reference 41

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Observation 7bc0570e-98c7-4872-aa05-bce3dfe3ea5e · outbound

This paper cites Temperature dependence in Krylov space.

Krylov Complexity from Loschmidt Amplitude Temperature dependence in Krylov space

Reference 42

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Observation fa69ffef-be16-4417-b581-51374444c446 · outbound

This paper cites Rabinovici, A.

Krylov Complexity from Loschmidt Amplitude Rabinovici, A

Reference 43

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:78f76660f9470558d225a5a8685eb61c99f2d7d5e15d4a3b5027a97d590e827a

Observation 5e572c28-9200-41e6-ae1f-7a9afb6df9c3 · outbound

This paper cites Quantum chaos, integrability, and late times in the Krylov basis.

Krylov Complexity from Loschmidt Amplitude Quantum chaos, integrability, and late times in the Krylov basis

Reference 44

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:a5ce2ca1e2a25c2142c630ab047a05da921af4c36044660bd514161a4f32d60d

Observation c45cdd3f-4e8e-4a80-9c31-7db7d771e2e1 · outbound

This paper cites Chakraborty,Topics in Quantum Information, Complexity and Chaos, Ph.D.

Krylov Complexity from Loschmidt Amplitude Chakraborty,Topics in Quantum Information, Complexity and Chaos, Ph.D

Reference 45

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:a2ed7a3069da8ffae07f45128e5f3c08f06d5158ee6269e4636363c759d2e238

Observation dc81a842-f213-4f4d-bfc3-311da05b2551 · outbound

This paper cites Kolodrubetz, D.

Krylov Complexity from Loschmidt Amplitude Kolodrubetz, D

Reference 46

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:a9357d46a8ae2628fbc168a16df8cd3a6456c86e52e9a997385421bcad429d92

Observation 780bde47-4874-4455-9eb8-173afb4b21ec · outbound

This paper cites Caputa, B.

Krylov Complexity from Loschmidt Amplitude Caputa, B

Reference 47

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:ac9572c183fe2324510f37a747c755ff4b49905ff82931b85d619d1da4eb147b

Observation 57ee9a5e-ce48-4ec4-8819-5a89b4ae5f8b · outbound

This paper cites an unresolved cited work.

Krylov Complexity from Loschmidt Amplitude Unresolved cited work

Reference 48

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:e6d3c086e52aa9a055d75179e70fa6f8084f23f72cd88e74ed594f598e8988e2

Observation 3936ca6d-dae1-42b2-93e7-fdee7884b613 · outbound

This paper cites an unresolved cited work.

Krylov Complexity from Loschmidt Amplitude Unresolved cited work

Reference 49

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:3353fbfbb7f84cf84ad5728950dac069954e0c1027d9a5003e4da8acdd22db02

Observation 591eaf93-1523-4872-8504-eede6071e6b4 · outbound

This paper cites Simon, Holonomy, the quantum adiabatic theorem, and berry’s phase, Phys.

Krylov Complexity from Loschmidt Amplitude Simon, Holonomy, the quantum adiabatic theorem, and berry’s phase, Phys

Reference 50

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:e5f56e629ae1208873f2f2ddb117ae85731c51f7cee03f3fdfa501d8efbc4537

Observation 83eb9273-403c-4dff-9adc-a17306f3ea23 · outbound

This paper cites Qi, Y.-S.

Krylov Complexity from Loschmidt Amplitude Qi, Y.-S

Reference 51

Resolution
verified exact
doi, observed 2026-07-14T08:20:26.158256Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:b9f715bbed3c93f637f3115c9dbae8d18d06777ae1071f122d34b2e932bf504c

Observation 7eb89260-1f63-4be9-be81-0c604c65b235 · outbound

This paper cites H¨ ornedal, N.

Krylov Complexity from Loschmidt Amplitude H¨ ornedal, N

Reference 52

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:756eb5b9bfdce639e5e48cac82f899c86d10432697a76b188d439eeaa1e6652d

Observation 20a89fbe-fa36-47ba-96f6-90552f80b861 · outbound

This paper cites Ozawa and B.

Krylov Complexity from Loschmidt Amplitude Ozawa and B

Reference 53

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:2eab94d7ce7bddab999147afb158749d1fea6796fbc74798881b68b090385922

Observation 45c96642-eba8-478c-862c-d972fe75a94e · outbound

This paper cites Perugu, B.

Krylov Complexity from Loschmidt Amplitude Perugu, B

Reference 54

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unresolved
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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:c66d2186205c3e676c6b722a4ee3e7453704bb8ff8b5d09a4da47c0efb5ec27f

Observation 090c811e-32a0-4ece-8ee7-feaf41a265d4 · outbound

This paper cites Barb´ on, E.

Krylov Complexity from Loschmidt Amplitude Barb´ on, E

Reference 55

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:354788acdd8fa33d2c04464a290eea242f864d9d42a35073203882e9af918cfe

Observation f6982aa6-5dcd-47ea-879f-bea5799c0900 · outbound

This paper cites Deift, T.

Krylov Complexity from Loschmidt Amplitude Deift, T

Reference 56

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:138b5b9f57e619e046be20c1472211cad4d0128594cdaeb3245e04cfa3fb7c35

Observation 63f12b51-7f86-4140-b05d-1c54c9ec793f · outbound

This paper cites Deift, T.

Krylov Complexity from Loschmidt Amplitude Deift, T

Reference 57

Resolution
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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:03dff3d1feceed045952a00c2f0261420b8f500a97d3b25893614bef3fd0b9c4

Observation 5553fd6d-33c2-4333-bc5a-c3b4fa9faabe · outbound

This paper cites Ismail,Interplay Between Computational Techniques and Quantum Theory: Advancing Quantum Chaos and Quantum Error Correction, Ph.D.

Krylov Complexity from Loschmidt Amplitude Ismail,Interplay Between Computational Techniques and Quantum Theory: Advancing Quantum Chaos and Quantum Error Correction, Ph.D

Reference 58

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:3f18b2a866052818352b6b9c113f21bbf3c2fa2665eaf00f89bf8c8b9d5111fb

Observation f56a58ed-86af-4a71-96d8-02581f166a96 · outbound

This paper cites an unresolved cited work.

Krylov Complexity from Loschmidt Amplitude Unresolved cited work

Reference 59

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unresolved
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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:97bce2c6f08474c2bdbef7945a47b023882dbc1eb83eb565ad1228af6279958f

Observation 387ea10c-2683-4f8f-9857-51d3ee9b8072 · outbound

This paper cites an unresolved cited work.

Krylov Complexity from Loschmidt Amplitude Unresolved cited work

Reference 60

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:861049d092c2e07dcbfcc863f5a233085e2c38fbf43519a2a51f30041c90b56f

Observation eb40cf22-4f84-42d0-83c4-3115a08acd1c · outbound

This paper cites Avdoshkin and A.

Krylov Complexity from Loschmidt Amplitude Avdoshkin and A

Reference 61

Resolution
malformed identifier
no resolver link, observed 2026-07-14T08:17:10.162534Z

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:de3f2d504e30c1aa2617f271c96334d2eec217b63ecd02c0de385e831f7b8372

Observation 9e80d8a2-3afa-40f3-be77-6fb078166fe7 · outbound

This paper cites The Krylov basis is specified by orthogonal polynomials given in (12).

Krylov Complexity from Loschmidt Amplitude The Krylov basis is specified by orthogonal polynomials given in (12)

Reference 62

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:024bcdd758af080849fd6437247b3b1d3671d2937c4c2d7625a417d720ea5ede

Observation 4f79a1d3-7ba0-4b44-b507-ad22446030c1 · outbound

This paper cites The derivatives∂ k ϕK(E1, E2, ϕ) will typically only be distributional atϕ= 0.

Krylov Complexity from Loschmidt Amplitude The derivatives∂ k ϕK(E1, E2, ϕ) will typically only be distributional atϕ= 0

Reference 63

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:7bdbe42ed9853530864372a86d02b2317705a301987298b482798911363707af

Observation e7048e69-e3cb-42df-b7e0-b6a3e11e6b8c · outbound

This paper cites The relevant integral which gives the square of the Frobenius norm is RR | ˜F(E 1, E2)|2dE1dE2.

Krylov Complexity from Loschmidt Amplitude The relevant integral which gives the square of the Frobenius norm is RR | ˜F(E 1, E2)|2dE1dE2

Reference 64

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:4634c9202aeecfef97cc40bb85f5746cca50a8a4ebaf66d19778b045b15c17c8

Observation 0b44b6b6-08b6-4f56-82be-305a7edf9a5f · outbound

This paper cites This matches the asymptotic growth rate predicted by (47), with the additional assumption that lim t→∞ C(t) = 0.

Krylov Complexity from Loschmidt Amplitude This matches the asymptotic growth rate predicted by (47), with the additional assumption that lim t→∞ C(t) = 0

Reference 65

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:2e77a6e19688a62ce16926514472a33a6b9c240124b6e310713513e06da3149d

Observation ba02a23c-7c4c-40b6-bcd1-5dffab9a489f · outbound

This paper cites We restrict to the simple case whereMandBare exactly like the position and momentum operator.

Krylov Complexity from Loschmidt Amplitude We restrict to the simple case whereMandBare exactly like the position and momentum operator

Reference 66

Resolution
unresolved
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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:f65a3d75cf77298fbd5ca619e23e90d6e2f3288edae764acd115f193256bf16f

Observation 09afdfa1-99e9-4329-828b-3b3453b35d87 · outbound

This paper cites an unresolved cited work.

Krylov Complexity from Loschmidt Amplitude Unresolved cited work

Reference 67

Resolution
unresolved
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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:4e8c6060686ecdeebdd9a191e6854a14b159596c3cfc92d76cc0a986322291f9

Observation bbe4096c-44a6-4cd6-9ba9-4097ce4b4f6e · outbound

This paper cites forward” and “backward.

Krylov Complexity from Loschmidt Amplitude forward” and “backward

Reference 68

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source=pdf_text observed=2026-07-14T08:17:10.162534Z digest=sha256:5e5983cdf94caa1a03b6b3b6818b81d7f3a8cffb14fbbea61de1ce793128bcec

Pith citing papers

No inbound Pith citation observations are available.