Paper Citation Record · LEDGER

Lyapunov growth in quantum spin chains

As of 15 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 2 inbound Pith citation observations for arXiv:1908.08059.

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

pith.paper-citation-record.v1
1908.08059 v3

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T11:56:20.022601Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T15:51:50.240053Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-15T08:20:17.530499Z

Reference resolution

30 of 30 outbound references displayed

verified exact3
verified fuzzy6
unresolved21
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f870cdaf-26c0-4fc5-ae47-23e799563e95 · outbound

This paper cites Casati, F.

Lyapunov growth in quantum spin chains Casati, F

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:56:20.524753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3d2fc219-cf6c-46e8-a234-0f39694aee8d · outbound

This paper cites Bohigas, M.

Lyapunov growth in quantum spin chains Bohigas, M

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-14T11:56:19.884790Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5f88718d-fbb5-4d69-97ca-913c49bd60e2 · outbound

This paper cites an unresolved cited work.

Lyapunov growth in quantum spin chains Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:56:20.499676Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation b2f4e19d-8689-4f57-981e-66eb6f211892 · outbound

This paper cites From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics.

Lyapunov growth in quantum spin chains From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T11:56:19.894805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 584f75e5-7638-4985-a3a7-327dd31c96ad · outbound

This paper cites an unresolved cited work.

Lyapunov growth in quantum spin chains Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:56:20.484889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 6fda5ffc-24a5-49a1-9e52-51fbd6268d10 · outbound

This paper cites An Apologia for Firewalls.

Lyapunov growth in quantum spin chains An Apologia for Firewalls

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-14T11:56:19.904998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e49a1833-ea34-4bdc-8a88-3c7714a35524 · outbound

This paper cites Black holes and the butterfly effect.

Lyapunov growth in quantum spin chains Black holes and the butterfly effect

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-14T11:56:19.910187Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c59aba12-a2ed-4f1a-9df0-34ac692bc060 · outbound

This paper cites Multiple Shocks.

Lyapunov growth in quantum spin chains Multiple Shocks

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-14T11:56:19.915097Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5495640d-c6f0-48a2-9bf6-da8cbfafcc31 · outbound

This paper cites Kitaev, Hidden correlations in the hawking radiation and thermal noise, talk given at Fundamental Physics Prize Symposium, Nov.

Lyapunov growth in quantum spin chains Kitaev, Hidden correlations in the hawking radiation and thermal noise, talk given at Fundamental Physics Prize Symposium, Nov

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:56:20.468958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0fddea77-90e2-4928-9eda-95d7eac7bc22 · outbound

This paper cites A bound on chaos.

Lyapunov growth in quantum spin chains A bound on chaos

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-14T11:56:19.925386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c8386dad-f9fb-486d-9b63-b8c8899df24e · outbound

This paper cites an unresolved cited work.

Lyapunov growth in quantum spin chains Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-14T11:56:20.452332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 63747dc1-bb8d-449d-9a8c-bd2bea4b0e7c · outbound

This paper cites Sensitivity to small perturbations in systems of large quantum spins.

Lyapunov growth in quantum spin chains Sensitivity to small perturbations in systems of large quantum spins

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:56:20.287323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 87b6a62d-8595-4cc8-88c4-5008a22de370 · outbound

This paper cites Strong and weak thermalization of infinite non-integrable quantum systems.

Lyapunov growth in quantum spin chains Strong and weak thermalization of infinite non-integrable quantum systems

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-14T11:56:19.940196Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6b3bfacc-60cf-40fa-af92-fd18e7a30d96 · outbound

This paper cites Localized shocks.

Lyapunov growth in quantum spin chains Localized shocks

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-14T11:56:19.945161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 060f3efb-5279-4f2e-953b-8a6fa6fa468e · outbound

This paper cites Weak Quantum Chaos.

Lyapunov growth in quantum spin chains Weak Quantum Chaos

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-14T11:56:19.949997Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bf587668-1397-46ed-bb31-bc5a218f6c61 · outbound

This paper cites Velocity-dependent Lyapunov exponents in many-body quantum, semi-classical, and classical chaos.

Lyapunov growth in quantum spin chains Velocity-dependent Lyapunov exponents in many-body quantum, semi-classical, and classical chaos

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-14T11:56:19.954733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 27267cd9-eb4e-4227-a202-5eaea06d00fc · outbound

This paper cites Locality, Quantum Fluctuations, and Scrambling.

Lyapunov growth in quantum spin chains Locality, Quantum Fluctuations, and Scrambling

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T11:56:19.959413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c149778f-35d5-42d8-a110-3a71d3efbd66 · outbound

This paper cites Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System.

Lyapunov growth in quantum spin chains Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-14T11:56:19.964037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a15f7d9-b1e3-42a2-91ca-3dd1ebc7ecf7 · outbound

This paper cites Sachdev, Quantum Phase Transitions , 2nd ed.

Lyapunov growth in quantum spin chains Sachdev, Quantum Phase Transitions , 2nd ed

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-14T11:56:19.968814Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e51720af-804f-49a7-abf3-21d66b875545 · outbound

This paper cites Quantum resonant systems, integrable and chaotic.

Lyapunov growth in quantum spin chains Quantum resonant systems, integrable and chaotic

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-14T11:56:19.973616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d8a2aca6-19ea-48ff-bfff-f630a52fe1b4 · outbound

This paper cites Chaos in quantum channels.

Lyapunov growth in quantum spin chains Chaos in quantum channels

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-14T11:56:19.978360Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de0e3822-1a55-4377-92f2-2b9d5beaee5e · outbound

This paper cites Absence of exponential sensitivity to small perturbations in nonintegrable systems of spins 1/2.

Lyapunov growth in quantum spin chains Absence of exponential sensitivity to small perturbations in nonintegrable systems of spins 1/2

Reference 22

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:56:20.136720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 86a5687e-2652-4792-b2e5-3e0b548686fc · outbound

This paper cites Out-of-time-ordered correlators in quantum Ising chain.

Lyapunov growth in quantum spin chains Out-of-time-ordered correlators in quantum Ising chain

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T11:56:19.989049Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85ef6481-a528-4f27-9e8e-928c87d1818b · outbound

This paper cites Accessing scrambling using matrix product operators.

Lyapunov growth in quantum spin chains Accessing scrambling using matrix product operators

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-14T11:56:20.098539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 0509bddb-1c09-419a-874e-b49ddb6ea0ee · outbound

This paper cites Frahm and H.

Lyapunov growth in quantum spin chains Frahm and H

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:56:20.426571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 8eb31dc6-fdd0-4d77-9290-e790c35442c3 · outbound

This paper cites Madore, The fuzzy sphere, Classical and Quantum Gravity 9, 69 (1992).

Lyapunov growth in quantum spin chains Madore, The fuzzy sphere, Classical and Quantum Gravity 9, 69 (1992)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:56:20.411964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 4024d9de-a727-41d0-98c8-676d180a6adb · outbound

This paper cites Many-body chaos near a thermal phase transition.

Lyapunov growth in quantum spin chains Many-body chaos near a thermal phase transition

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-14T11:56:20.008930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 317179d2-046f-49f5-b5b6-7bfb70cfac55 · outbound

This paper cites Fujisaka, Statistical dynamics generated by ﬂuctuations of local Lyapunov exponents, Prog.

Lyapunov growth in quantum spin chains Fujisaka, Statistical dynamics generated by ﬂuctuations of local Lyapunov exponents, Prog

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:56:20.396757Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation 3b9faf6c-e1ab-46b7-b76a-20bf43317d16 · outbound

This paper cites Benzi, G.

Lyapunov growth in quantum spin chains Benzi, G

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T11:56:20.381061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

Observation f3879d62-b1bb-4182-a7cf-0eec313a8ab2 · outbound

This paper cites Finite-size scaling of out-of-time-ordered correlators at late times.

Lyapunov growth in quantum spin chains Finite-size scaling of out-of-time-ordered correlators at late times

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-14T11:56:20.022601Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 53ba67b1-2776-4003-874b-42a4ee7bffff · inbound

Quantum chaos and pole skipping in two-dimensional conformal perturbation theory cites this paper.

Quantum chaos and pole skipping in two-dimensional conformal perturbation theory Lyapunov growth in quantum spin chains

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-04T15:51:50.240053Z

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Unavailable: canonical work link unavailable.

Observation 16e149f0-4015-471f-96f3-f0b3903e1648 · 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 Lyapunov growth in quantum spin chains

Reference 65

Resolution: verified exact; arxiv_id, observed 2026-05-15T08:20:17.532418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.