Paper Citation Record · LEDGER

Localized shocks

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 42 inbound Pith citation observations for arXiv:1409.8180.

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

pith.paper-citation-record.v1
1409.8180 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 42 of 42 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 42 of 42 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T12:41:15.388447Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-03T18:08:45.745436Z

Reference resolution

0 of 0 outbound references displayed

verified exact0
verified fuzzy0
unresolved0
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 2ede6f34-405d-40ea-bd61-34b333a4e73a · inbound

Chaos in the butterfly cone cites this paper.

Chaos in the butterfly cone Localized shocks

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-14T14:17:24.534322Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c2befeb-966e-48a4-bf27-abcf5ee04a6a · inbound

Global Symmetry and Maximal Chaos cites this paper.

Global Symmetry and Maximal Chaos Localized shocks

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-14T13:25:37.356923Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 360cbbfe-bf2f-4f63-9de3-4985fff50358 · inbound

The Speed of Quantum Information Spreading in Chaotic Systems cites this paper.

The Speed of Quantum Information Spreading in Chaotic Systems Localized shocks

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-14T12:35:00.272867Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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

Lyapunov growth in quantum spin chains cites this paper.

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 57432374-2ce3-46b2-8b65-56a42b7cc9dc · inbound

Reflections on Virasoro circuit complexity and Berry phase cites this paper.

Reflections on Virasoro circuit complexity and Berry phase Localized shocks

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-14T11:47:35.875893Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d71fec30-9efc-4e59-a912-fb68388baa4a · inbound

Superluminal chaos after a quantum quench cites this paper.

Superluminal chaos after a quantum quench Localized shocks

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-14T11:30:15.975340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58b5194c-2b81-4450-ab02-792c9955b739 · inbound

The entanglement membrane in 2d CFT: reflected entropy, RG flow, and information velocity cites this paper.

The entanglement membrane in 2d CFT: reflected entropy, RG flow, and information velocity Localized shocks

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-12T13:14:26.122616Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 62e90bfd-157c-4afe-ba12-b0c48c3941a8 · inbound

Islands, Double Holography, and the Entanglement Membrane cites this paper.

Islands, Double Holography, and the Entanglement Membrane Localized shocks

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-11T11:46:41.758253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5a79df5d-e588-451f-b20c-a5c944e82c89 · inbound

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

Operator K-complexity in DSSYK: Krylov complexity equals bulk length Localized shocks

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-11T11:39:18.492926Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b399c634-f89a-4daf-8363-ac0ba15982a1 · inbound

Scrambling Enabled Entropy Accumulation in Open Quantum Systems cites this paper.

Scrambling Enabled Entropy Accumulation in Open Quantum Systems Localized shocks

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-08T12:49:15.374478Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9799535a-ada4-43d6-a330-e2802eaa07de · inbound

Refining the Understanding of Operator Size Dynamics in Open Quantum Systems cites this paper.

Refining the Understanding of Operator Size Dynamics in Open Quantum Systems Localized shocks

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-16T12:41:15.388447Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 055d3499-bdcb-469a-9b79-2f91413467f0 · inbound

Butterfly effect and $\textrm{T}\overline{\textrm{T}}$-deformation cites this paper.

Butterfly effect and $\textrm{T}\overline{\textrm{T}}$-deformation Localized shocks

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T15:43:34.908325Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f2bd22c4-1f91-4262-b93e-964c0b45c300 · inbound

Comparative study of the butterfly velocity in holographic QCD models at finite temperature and chemical potential cites this paper.

Comparative study of the butterfly velocity in holographic QCD models at finite temperature and chemical potential Localized shocks

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T15:34:16.406349Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb14825d-1580-4ae2-8376-29fff00aeafa · inbound

Towards a microscopic description of de Sitter dynamics cites this paper.

Towards a microscopic description of de Sitter dynamics Localized shocks

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-05-19T11:07:15.475742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ffdc9008-52a9-4ca2-8d84-154d0a5f93ca · inbound

Emergent Holographic Spacetime from Quantum Information cites this paper.

Emergent Holographic Spacetime from Quantum Information Localized shocks

Reference 88

Resolution: unresolved; no resolver link, observed 2026-08-07T05:58:58.771499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7084ff66-4345-41d1-afaa-dfc76827c735 · inbound

Krylov Complexity cites this paper.

Krylov Complexity Localized shocks

Reference 268

Resolution: verified exact; local_arxiv, observed 2026-05-16T14:54:18.138460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 797a9587-517d-4e34-97f3-d604727c7e27 · inbound

Charged Black Hole with String Cloud Deformation: Entanglement and Chaos cites this paper.

Charged Black Hole with String Cloud Deformation: Entanglement and Chaos Localized shocks

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T17:41:23.574061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cf6ab1d5-c258-4692-9b37-c44b7d0240ab · inbound

A Dynamical Systems Framework for Reinforcement Learning Safety and Robustness Verification cites this paper.

A Dynamical Systems Framework for Reinforcement Learning Safety and Robustness Verification Localized shocks

Reference 113

Resolution: unresolved; no resolver link, observed 2026-08-05T17:53:33.218493Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f70b61bf-cf5c-4d02-8115-29f03576a0bf · inbound

Cosmological pole-skipping, shock waves and quantum chaotic dynamics of de Sitter horizons cites this paper.

Cosmological pole-skipping, shock waves and quantum chaotic dynamics of de Sitter horizons Localized shocks

Reference 113

Resolution: unresolved; no resolver link, observed 2026-08-05T17:59:34.836496Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8617b17f-f786-4a4b-9b27-787c7e23004e · inbound

The algebraic structure of gravitational scrambling cites this paper.

The algebraic structure of gravitational scrambling Localized shocks

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-05T14:42:25.793417Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e3323bdd-8a71-4ade-bbfc-cf96673a2c05 · 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 Localized shocks

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T15:50:20.656955Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 578714d8-fde9-4d77-917a-a569835c6df2 · inbound

Holographic Brownian dynamics of a heavy particle in a boosted thermal plasma background cites this paper.

Holographic Brownian dynamics of a heavy particle in a boosted thermal plasma background Localized shocks

Reference 84

Resolution: verified exact; local_arxiv, observed 2026-05-18T14:31:29.904021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 18f30078-b656-45aa-93d8-e14b9ec507e0 · inbound

Pole-skipping without master variable and holographic superfluids cites this paper.

Pole-skipping without master variable and holographic superfluids Localized shocks

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-03T16:14:56.289029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 77456f01-09d5-4aa9-9512-d7d7c7ee30ad · inbound

Probing Stringy Horizons with Pole-Skipping in Non-Maximal Chaotic Systems cites this paper.

Probing Stringy Horizons with Pole-Skipping in Non-Maximal Chaotic Systems Localized shocks

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-03T14:27:29.954908Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3322921b-94a4-451a-95e0-9c63ae596509 · inbound

OTOC and Quamtum Chaos of Interacting Scalar Fields cites this paper.

OTOC and Quamtum Chaos of Interacting Scalar Fields Localized shocks

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-05-16T20:23:23.643889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2103e414-8d1b-4742-9718-5b97d868ee87 · 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 Localized shocks

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-05-15T08:20:17.608824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 80a5753b-a87f-4a2a-8bed-002be979df34 · inbound

Cosmological brick walls & quantum chaotic dynamics of de Sitter horizons cites this paper.

Cosmological brick walls & quantum chaotic dynamics of de Sitter horizons Localized shocks

Reference 35

Resolution: verified exact; arxiv_id, observed 2026-05-14T00:08:29.134059Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7fc24bf4-4495-40a1-9333-aeeaa151a5db · inbound

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation cites this paper.

Unitary Designs from Two Chaotic Hamiltonians and a Random Pauli Operation Localized shocks

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-05-11T08:30:58.440238Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 299b7b45-f9f3-49c5-9c12-0504663945ff · inbound

Probing bulk geometry via pole skipping: from static to rotating spacetimes cites this paper.

Probing bulk geometry via pole skipping: from static to rotating spacetimes Localized shocks

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-10T11:15:10.803902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9609c19d-7eee-4536-acf8-00854befd115 · inbound

Stringy Effects on Holographic Complexity: The Complete Volume in Dynamical Spacetimes cites this paper.

Stringy Effects on Holographic Complexity: The Complete Volume in Dynamical Spacetimes Localized shocks

Reference 37

Resolution: verified exact; arxiv_id, observed 2026-05-10T08:48:01.203335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2d96e84d-5251-4dd2-bf78-c0d4c07f0cd1 · inbound

Stringy Effects on Holographic Complexity: The Complete Volume in Dynamical Spacetimes cites this paper.

Stringy Effects on Holographic Complexity: The Complete Volume in Dynamical Spacetimes Localized shocks

Reference 37

Resolution: verified exact; local_arxiv, observed 2026-05-19T17:12:41.434946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2eba037b-d071-45a1-b1da-d3883e9fb0fd · inbound

Butterflies in $\textrm{T}\overline{\textrm{T}}$ deformed anomalous CFT$_2$ cites this paper.

Butterflies in $\textrm{T}\overline{\textrm{T}}$ deformed anomalous CFT$_2$ Localized shocks

Reference 61

Resolution: verified exact; local_arxiv, observed 2026-05-14T20:29:28.070714Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 60e9636e-2e9a-4527-9126-351dcd9ee2da · inbound

Black Hole Photon Rings Saturate the Quantum Chaos Bound cites this paper.

Black Hole Photon Rings Saturate the Quantum Chaos Bound Localized shocks

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-06-29T14:13:30.804505Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ac806fc2-28a3-41d0-8258-8fd480a56c24 · inbound

Post-Selection Probability and Fidelity of Bidirectional Teleportation cites this paper.

Post-Selection Probability and Fidelity of Bidirectional Teleportation Localized shocks

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-07-03T18:08:45.746856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9811aaca-a4dd-4672-b74c-8ed8ca4b94ca · inbound

Constrained particle on a group: from propagators to correlators cites this paper.

Constrained particle on a group: from propagators to correlators Localized shocks

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-07-01T12:25:44.182539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7e3ce0cd-5398-4671-99b9-0d7938fb5105 · inbound

Rethinking quantum information in gravity and fields cites this paper.

Rethinking quantum information in gravity and fields Localized shocks

Reference 53

Resolution: verified exact; local_arxiv, observed 2026-07-01T01:15:13.142950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b273df51-754f-43b6-a9bf-12de69719120 · inbound

Topological Control of Quantum Chaos Diagnostics: OTOCs, Spectral Statistics, and Information Scrambling in Ising Model cites this paper.

Topological Control of Quantum Chaos Diagnostics: OTOCs, Spectral Statistics, and Information Scrambling in Ising Model Localized shocks

Reference 72

Resolution: verified exact; local_arxiv, observed 2026-07-03T11:38:04.443621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c51eb2ce-bbcc-4f67-888f-ea4a5c6ec9bd · inbound

Falling through the horizon of a quantum black hole cites this paper.

Falling through the horizon of a quantum black hole Localized shocks

Reference 95

Resolution: unresolved; no resolver link, observed 2026-07-12T03:09:34.060437Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cac6ada6-3d53-4997-95ea-69bcd473a7b5 · 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$_3$ Localized shocks

Reference 28

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 92b7efce-5215-4ef1-a59b-66d0307326f2 · 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$_3$ Localized shocks

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-02T08:52:51.774206Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 81aa124b-5a7f-4d20-9678-f15aa8403e11 · inbound

Overcrowding and the Finite-$N$ Hilbert Space cites this paper.

Overcrowding and the Finite-$N$ Hilbert Space Localized shocks

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-01T04:02:35.863105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation baded0eb-5a7b-477d-b8a8-f0aa6eb4fa68 · inbound

Chaotic Imprints in Gravitational Waves from Conformal-Anomaly-Corrected Extreme-Mass-Ratio Inspirals cites this paper.

Chaotic Imprints in Gravitational Waves from Conformal-Anomaly-Corrected Extreme-Mass-Ratio Inspirals Localized shocks

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-01T14:44:10.035253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.