Pith. sign in

Paper Citation Record · LEDGER

Operator complexity: a journey to the edge of Krylov space

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 22 inbound Pith citation observations for arXiv:2009.01862.

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

pith.paper-citation-record.v1
2009.01862 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 22 of 22 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:29:43.707123Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T12:19:49.308452Z

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 82b252ee-5211-42b9-9b73-f6bc21dd6eb1 · 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 Operator complexity: a journey to the edge of Krylov space

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-23T07:17:42.378934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T07:16:44.979654Z digest=sha256:0b731ca6db3e57f4e7244bc720581cc84449581ea484371771fb32f3d5924e21

Observation a8ffb6c0-0b33-4772-8ada-508a339d0610 · inbound

Finite cutoff JT gravity: Baby universes, Matrix dual, and (Krylov) Complexity cites this paper.

Finite cutoff JT gravity: Baby universes, Matrix dual, and (Krylov) Complexity Operator complexity: a journey to the edge of Krylov space

Reference 96

Resolution
verified exact
arxiv_id, observed 2026-05-23T02:27:25.300281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-23T02:25:53.602595Z digest=sha256:e9285cd6efb3bea4661bcee27101e4892d89520958e93f413970fcbb0c7dbeab

Observation b4e8c230-3c88-493f-a871-e3f7f5ad320f · inbound

Quasinormal modes and complexity in saddle-dominated SU(N) spin systems cites this paper.

Quasinormal modes and complexity in saddle-dominated SU(N) spin systems Operator complexity: a journey to the edge of Krylov space

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-07T10:29:43.707123Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:29:43.707123Z digest=sha256:da1ad0113e6ae7b642ee56703b4ad3b698230d9e33fc73c63fa6f7a3907537ff

Observation f15c9756-cd00-4138-b1f9-41c29aea203f · inbound

Complexity of PXP scars revisited cites this paper.

Complexity of PXP scars revisited Operator complexity: a journey to the edge of Krylov space

Reference 64

Resolution
unresolved
no resolver link, observed 2026-08-06T22:40:01.808991Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T22:40:01.808991Z digest=sha256:c69fc855c9253760db07f8bb31a8539c417ec86641d8b956d272a85da6f14f99

Observation 7738b0fa-c06a-4f1e-90d3-861b64e55bd9 · inbound

Complexity of Quadratic Quantum Chaos cites this paper.

Complexity of Quadratic Quantum Chaos Operator complexity: a journey to the edge of Krylov space

Reference 60

Resolution
verified exact
arxiv_id, observed 2026-05-18T19:26:47.490921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-18T19:26:03.475375Z digest=sha256:0acfce88a67e10c8278725baeaa89e3d4102983ad5a5554c1f68bf3144a76ae8

Observation e1853b7d-bd6b-4539-8b3f-877bfb017761 · inbound

Holography of K-complexity: Switchbacks and Shockwaves cites this paper.

Holography of K-complexity: Switchbacks and Shockwaves Operator complexity: a journey to the edge of Krylov space

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-04T09:05:26.561717Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T09:05:26.561717Z digest=sha256:c72a332c5e8b8ecba9f535b8591968a4b9d491ab6164e88d4d0f4e8e87dfa9f3

Observation 3f717b9a-5001-44de-8c45-e969bcb191d3 · inbound

Quantum Cosmology in Krylov Space: Complexity and Entropy cites this paper.

Quantum Cosmology in Krylov Space: Complexity and Entropy Operator complexity: a journey to the edge of Krylov space

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-03T21:05:59.505787Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:05:59.505787Z digest=sha256:c7a7bfd2cb18f70531c4df763f03c5210f4bdaf925831e2b707e57cabe45b1a5

Observation 37d05a8c-f667-4016-9e5b-85959fea1be0 · inbound

Krylov Complexity of Supersymmetric SYK Models cites this paper.

Krylov Complexity of Supersymmetric SYK Models Operator complexity: a journey to the edge of Krylov space

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-03T20:15:02.715286Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T20:15:02.715286Z digest=sha256:ff895f6e1a55edf745073316c9c11bbc69eae68e93bb0b0d55e29c968db5966a

Observation 091d55a4-ff60-42c3-8573-63b5bf99f762 · 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 Operator complexity: a journey to the edge of Krylov space

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-03T17:58:37.374878Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T17:58:37.374878Z digest=sha256:20af8fdfc8b65af38ceb8eacaf496b7042ce679e00e22c2e3a0ccedbd3cdb6d9

Observation 71c6e842-69c4-4b56-bff9-3523999b7002 · 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 Operator complexity: a journey to the edge of Krylov space

Reference 46

Resolution
verified exact
arxiv_id, observed 2026-05-15T08:20:17.561286Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-15T08:20:09.796633Z digest=sha256:42d0ee7acdd7583dd6e34a89133a5f5a943233dbebcda957f75e9e8ba34e8e8d

Observation 625b7741-52a6-4e01-bf5a-b457b93eda1d · inbound

Holographic Krylov Complexity for Charged, Composite and Extended Probes cites this paper.

Holographic Krylov Complexity for Charged, Composite and Extended Probes Operator complexity: a journey to the edge of Krylov space

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-11T05:36:00.485076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-10T18:02:52.534128Z digest=sha256:a663ed13e70b505a4d9cf256ebf2813624e7b6bd3e39963d0ce924e28bb2c86f

Observation d8fd547d-71cf-4008-b46a-34c98fc84e31 · inbound

Stochastic Krylov Dynamics: Revisiting Operator Growth in Open Quantum Systems cites this paper.

Stochastic Krylov Dynamics: Revisiting Operator Growth in Open Quantum Systems Operator complexity: a journey to the edge of Krylov space

Reference 13

Resolution
verified exact
arxiv_id, observed 2026-05-11T13:51:04.200139Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-09T23:58:20.931454Z digest=sha256:0caa120131c919148e2831e78969b59b36f990e65a2a16cb0a77423e2eb73b9b

Observation 8e13f200-5928-4859-87a1-a1fcf62382dd · inbound

Bridging Krylov Complexity and Universal Analog Quantum Simulator cites this paper.

Bridging Krylov Complexity and Universal Analog Quantum Simulator Operator complexity: a journey to the edge of Krylov space

Reference 76

Resolution
verified exact
arxiv_id, observed 2026-05-11T03:15:55.816583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-11T02:35:22.825362Z digest=sha256:69dfde24ad7c9761f7354f537a41953b99a0ff0fbdf823a18edc2c792b01dc78

Observation e05ee5e3-36a5-4e9f-b60d-5c2959c77014 · inbound

Krylov complexity has it all cites this paper.

Krylov complexity has it all Operator complexity: a journey to the edge of Krylov space

Reference 5

Resolution
metadata mismatch
arxiv_id, observed 2026-06-29T11:23:21.887253Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-29T11:13:49.715091Z digest=sha256:488e69644669dfccc6ee4835a03d12d602fa0335335419e6030398818e1b84f7

Observation 501be2e7-85f8-47e7-a8f4-c55905f1d685 · inbound

Krylov complexity has it all cites this paper.

Krylov complexity has it all Operator complexity: a journey to the edge of Krylov space

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-02T13:01:50.759198Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T13:01:50.759198Z digest=sha256:4bbfc0bd8c3fe72c25acd58a416230380f83ff832f63d779ed5a71c8b3c71d06

Observation b304f6db-3426-49c2-88ad-d10574a935d0 · inbound

Complexity Inequalities for Quantum Subsystems cites this paper.

Complexity Inequalities for Quantum Subsystems Operator complexity: a journey to the edge of Krylov space

Reference 65

Resolution
metadata mismatch
arxiv_id, observed 2026-07-04T05:39:39.806540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-26T15:49:11.884191Z digest=sha256:8a9f9857937d1c9251c9b33dd8a02ef7260cb9bb8a3eb2c44d708b9ebfc5e626

Observation c2f77752-6241-48d1-83a6-85478740e2b1 · inbound

Complexity Inequalities for Quantum Subsystems cites this paper.

Complexity Inequalities for Quantum Subsystems Operator complexity: a journey to the edge of Krylov space

Reference 67

Resolution
metadata mismatch
arxiv_id, observed 2026-07-01T07:05:28.922772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-07-01T07:01:18.198749Z digest=sha256:1212ba6edd8c7c49d7de3aafb91056366f426b39e6ab5d134499ed24ec6f2ccc

Observation d60e9a3e-a349-4b5c-bb45-0c7832641c08 · inbound

Controlled Chaos in 4D SCFTs cites this paper.

Controlled Chaos in 4D SCFTs Operator complexity: a journey to the edge of Krylov space

Reference 19

Resolution
metadata mismatch
arxiv_id, observed 2026-07-04T12:19:49.310096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-26T07:06:32.504627Z digest=sha256:c307f0177d5eadf328f351b93a9b1930bb63942be17ab1a128212c599a1f3355

Observation 0a0322e1-1d26-401d-94e5-a8309cbf8672 · inbound

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity cites this paper.

Polynomial Initial-State Jumps and Christoffel Transforms in Krylov Complexity Operator complexity: a journey to the edge of Krylov space

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-02T08:38:45.166243Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T08:38:45.166243Z digest=sha256:d4fce8d85bd6b8e8848f122a6c7b2acf16987b0eb658a990559cd40d8e6bd4b5

Observation 82c9e4b8-6a65-4c60-86eb-bf8ee325da8d · inbound

The Information Content of Krylov Observables: A Machine Learning Approach cites this paper.

The Information Content of Krylov Observables: A Machine Learning Approach Operator complexity: a journey to the edge of Krylov space

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T18:19:15.130499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:19:15.130499Z digest=sha256:8347174814571376a99728d1df0a6b89eb566e91251ff108810b7d48cf94430a

Observation fbb60337-6d9b-4e02-bb81-98c8dd7c72be · inbound

Large deviations in quantum dynamics and complexity cites this paper.

Large deviations in quantum dynamics and complexity Operator complexity: a journey to the edge of Krylov space

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T09:00:13.681308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T09:00:13.681308Z digest=sha256:7d98f5f9ab2200647112c8d1da8cb177e4816d373d3b05093cb297c87c3bc640

Observation 7803584b-12e7-42b4-a982-50fa701ece8e · inbound

Krylov-Space Memory Cores cites this paper.

Krylov-Space Memory Cores Operator complexity: a journey to the edge of Krylov space

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-01T00:56:30.955142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T00:56:30.955142Z digest=sha256:093e949f13bc5b536a353b47297b546293cc9723a0ea2ec9e776a69bd8c56b95