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Paper Citation Record · LEDGER

Quantum variational PDE solver with machine learning

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2109.09216.

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

pith.paper-citation-record.v1
2109.09216 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-04T14:58:38.937545Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T07:19:38.313771Z

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 33ece524-df66-49ef-9266-51a0845fa30e · inbound

Relativistic Quantum Simulation under Periodic and Dirichlet Boundary Conditions: A First-Quantised Framework for Near-Term Devices cites this paper.

Relativistic Quantum Simulation under Periodic and Dirichlet Boundary Conditions: A First-Quantised Framework for Near-Term Devices Quantum variational PDE solver with machine learning

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-04T14:58:38.937545Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T14:58:38.937545Z digest=sha256:aa771902e05ae6832038cabdd3dcb54dadbc6f0b761bba101f1ca338fbad1884

Observation 1597c4b5-1add-4e20-bf83-ee7e1f729a18 · inbound

Conformalized Quantum DeepONet Ensembles for Scalable Operator Learning with Distribution-Free Uncertainty cites this paper.

Conformalized Quantum DeepONet Ensembles for Scalable Operator Learning with Distribution-Free Uncertainty Quantum variational PDE solver with machine learning

Reference 65

Resolution
verified exact
arxiv_id, observed 2026-05-11T15:11:05.569293Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=arxiv_source observed=2026-05-09T20:34:53.693699Z digest=sha256:ce1b67a8ad39c5da83399145538cb08ad3c4a5fb5b0402a6c6c2ebd330da398a

Observation 3dbb75d2-32a8-49ba-b666-8abcdd9152a7 · inbound

First-Quantized Relativistic Quantum Simulation with Periodic and Dirichlet Boundary Conditions cites this paper.

First-Quantized Relativistic Quantum Simulation with Periodic and Dirichlet Boundary Conditions Quantum variational PDE solver with machine learning

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-07-04T07:19:38.315386Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-26T13:32:26.149588Z digest=sha256:7988011c1eb10d118e8406b7617fb5b4c6deb173c962b06440b00622b8a9c0a7

Observation 66e7e015-4b9d-455b-bf5f-cde0d94e2eab · inbound

First-Quantized Relativistic Quantum Simulation with Periodic and Dirichlet Boundary Conditions cites this paper.

First-Quantized Relativistic Quantum Simulation with Periodic and Dirichlet Boundary Conditions Quantum variational PDE solver with machine learning

Reference 24

Resolution
verified exact
arxiv_id, observed 2026-06-30T10:24:36.330878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-06-30T10:24:32.632336Z digest=sha256:6af837d37ecf27dcf788ba571d343055ab3e6ff36d1fbe179751093ddd0f050c

Observation 728ac58e-2f1d-4e58-bfbf-5bdeb5dede06 · inbound

Quantum Gravity Simulation: Quantum simulation with a minimum length based on the generalised uncertainty principle cites this paper.

Quantum Gravity Simulation: Quantum simulation with a minimum length based on the generalised uncertainty principle Quantum variational PDE solver with machine learning

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-01T12:26:44.560826Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T12:26:44.560826Z digest=sha256:e3bd890b951d1d22b76ba4dce29bd6cbda20491ad3592a4dfcedf43aa6d8f593