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Paper Citation Record · LEDGER

Toda chain flow in Krylov space

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 12 inbound Pith citation observations for arXiv:1912.12227.

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

pith.paper-citation-record.v1
1912.12227 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 12 of 12 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T14:20:06.757398Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-30T19:15:00.537709Z

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 e2356277-6143-4b93-bae1-237b736bc4cb · inbound

Brickwall One-Loop Determinant: Spectral Statistics & Krylov Complexity cites this paper.

Brickwall One-Loop Determinant: Spectral Statistics & Krylov Complexity Toda chain flow in Krylov space

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-11T14:20:06.757398Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T14:20:06.757398Z digest=sha256:c9755d120d4c0fc7942aee9aec6e0cd032148d84dc15c06c328f33b70db5d616

Observation 0f0d623d-35a9-4232-ba9a-d00729ffe45b · inbound

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

Operator K-complexity in DSSYK: Krylov complexity equals bulk length Toda chain flow in Krylov space

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-11T11:39:18.409064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:39:18.409064Z digest=sha256:dcdd847929e5ea2a27cbbd1aef632c9310f667ff35c90d891f2d1f568d8abb8a

Observation 6eb78f31-6404-466e-9362-23e6faa714cc · inbound

Streamlined Krylov construction and classification of ergodic Floquet systems cites this paper.

Streamlined Krylov construction and classification of ergodic Floquet systems Toda chain flow in Krylov space

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-11T00:00:02.256062Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T00:00:02.256062Z digest=sha256:9ce460e1f26cf5578f2819601db53e2a48205cd0e1f9b67e896f527f416d7223

Observation 96c4a99b-d299-4aae-a5d5-973436d8d22f · inbound

A Quantum Computational Perspective on Spread Complexity cites this paper.

A Quantum Computational Perspective on Spread Complexity Toda chain flow in Krylov space

Reference 15

Resolution
malformed identifier
arxiv_id, observed 2026-05-22T00:34:28.796634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-22T00:30:56.374139Z digest=sha256:b08b8303db045e98f80c38ae770323838686560db10a31945450636f758e94c0

Observation f79ef12d-2ee2-4dc7-a4aa-f6f81e84bc2c · 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 Toda chain flow in Krylov space

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-03T04:36:17.834953Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T04:36:17.834953Z digest=sha256:346f0ef984b707d95a10c97524c03ac8091b0badc5efa4223f383b2be772933d

Observation 8835a8da-81be-4050-8fb0-c488ce3dfae3 · inbound

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

Stochastic Krylov Dynamics: Revisiting Operator Growth in Open Quantum Systems Toda chain flow in Krylov space

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-11T13:51:04.225182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-09T23:58:20.931454Z digest=sha256:175c9281cc320ccbcfe9899f065b34e04fafa97495f6a1d45cd686557a2b5db7

Observation 82e33a5a-c364-4ccd-aca9-a6af13e561a3 · inbound

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

Bridging Krylov Complexity and Universal Analog Quantum Simulator Toda chain flow in Krylov space

Reference 72

Resolution
verified exact
arxiv_id, observed 2026-05-11T03:15:55.201377Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-11T02:35:22.825362Z digest=sha256:af176ba4933ffe88f4d1de18fa267fbdd7a5f6b02c3c93e74b0aae378ce8c710

Observation d818d666-dec0-4831-b8e5-a475fecb5116 · 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 Toda chain flow in Krylov space

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-19T22:37:49.943041Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-19T22:33:40.924339Z digest=sha256:2a26929c7626666fe2d745845d491ef56865de6ea7a8526e595b7d63f443ae08

Observation a106d481-e38f-4cd0-8685-ace1cacfb618 · 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 Toda chain flow in Krylov space

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-05-25T05:50:24.446544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-25T05:47:12.013847Z digest=sha256:8df3e2792a77d837a4e7e224eaf74c506a7ea93b6f17b904ccee01f7db158069

Observation ca3bd9a3-2f7c-44f6-8dcd-5e0dc6ae78a6 · 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 Toda chain flow in Krylov space

Reference 27

Resolution
verified exact
arxiv_id, observed 2026-06-30T19:15:00.540813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-06-30T19:11:39.162388Z digest=sha256:60789233dc47809283ab7bdfcf2d066c010e7c81377ea8d269f09d93bd03c7cd

Observation 15fd28b3-058c-43b5-a8eb-83d2b2a2bf9d · inbound

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

The Information Content of Krylov Observables: A Machine Learning Approach Toda chain flow in Krylov space

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T18:19:15.194351Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T18:19:15.194351Z digest=sha256:059992310c58d22b50bc3c352bdd742e7a95589fdca20c0a602edf94b4218ebf

Observation 5c2f65f6-e709-4084-bf28-454daf68d6b9 · inbound

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport cites this paper.

Two-dimensional Toda--Arnoldi correspondence: Holomorphic Krylov geometry and counterdiabatic transport Toda chain flow in Krylov space

Reference 30

Resolution
unresolved
no resolver link, observed 2026-08-06T15:20:23.506047Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T15:20:23.506047Z digest=sha256:2b2ae6f2745efde51009e56dd2081ee123f73318e0d9a9cb0fb7db3710429879