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Paper Citation Record · LEDGER

Solving Schr\"{o}dinger Equation Using Tensor Neural Network

As of 22 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 7 inbound Pith citation observations for arXiv:2209.12572.

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

pith.paper-citation-record.v1
2209.12572 v4

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 7 of 7 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 7 of 7 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:00:39.777419Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T13:29:51.900664Z

Reference resolution

0 of 0 outbound references displayed

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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 d8beed10-fc6c-4bf1-b005-42b571950ab6 · inbound

Adaptive Neural Network Subspace Method for Solving Partial Differential Equations with High Accuracy cites this paper.

Adaptive Neural Network Subspace Method for Solving Partial Differential Equations with High Accuracy Solving Schr\"{o}dinger Equation Using Tensor Neural Network

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-11T23:24:51.280176Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:24:51.280176Z digest=sha256:58992dca1a76a939449ee4b78a814fec487d5ac91e9302033a4a1ab81b50f184

Observation 5b36ed72-b8d6-47ae-ba4b-07809abbbd57 · inbound

Lower Bound on the Representation Complexity of Antisymmetric Tensor Product Functions cites this paper.

Lower Bound on the Representation Complexity of Antisymmetric Tensor Product Functions Solving Schr\"{o}dinger Equation Using Tensor Neural Network

Reference 34

Resolution
verified exact
arxiv_id, observed 2026-05-23T06:02:38.192520Z

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.

source=pdf_text observed=2026-05-23T05:58:24.616948Z digest=sha256:71b9aff8bdb3c1da7aa7b890cfa56bf10eee01d035ad1ec2b5de869b8f8a4075

Observation 59404edc-16d5-4ebd-a673-e5e489b46c48 · inbound

Neural Network Element Method for Partial Differential Equations cites this paper.

Neural Network Element Method for Partial Differential Equations Solving Schr\"{o}dinger Equation Using Tensor Neural Network

Reference 29

Resolution
unresolved
no resolver link, observed 2026-08-16T11:00:39.777419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T11:00:39.777419Z digest=sha256:f9d199fe2a17555fcbe732fe7d06df850f675054b956fd92c8f4208ce0ef0659

Observation f9fddefb-5a30-4789-a5c2-04c1eeea1739 · inbound

Stochastic-Dimension Frozen Sampled Neural Network for High-Dimensional Gross-Pitaevskii Equations on Unbounded Domains cites this paper.

Stochastic-Dimension Frozen Sampled Neural Network for High-Dimensional Gross-Pitaevskii Equations on Unbounded Domains Solving Schr\"{o}dinger Equation Using Tensor Neural Network

Reference 7

Resolution
verified exact
arxiv_id, observed 2026-05-11T07:45:58.827334Z

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.

source=pdf_text observed=2026-05-10T16:58:50.605039Z digest=sha256:6ed821f5998d180df874759574a85b2c365b9701f544adba72a663226ca18879

Observation d1f3dd6e-b1a6-44fc-9c8e-51f62efffbe9 · inbound

Regularity Analysis and Tensor Neural Network Methods for Quasiperiodic Elliptic Equations cites this paper.

Regularity Analysis and Tensor Neural Network Methods for Quasiperiodic Elliptic Equations Solving Schr\"{o}dinger Equation Using Tensor Neural Network

Reference 29

Resolution
verified exact
arxiv_id, observed 2026-05-11T13:21:07.210482Z

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.

source=pdf_text observed=2026-05-10T01:51:46.569053Z digest=sha256:32c646675246bf2cf0d921ed3fd89e276b9c1921a14864c65b05679b7adcb4a9

Observation 650e5e29-192f-47a3-abe3-6383bdbd6957 · inbound

Parameterized Representations via Implicit Stochastic Modulation for High-Dimensional and High-Order Neural PDE Solvers cites this paper.

Parameterized Representations via Implicit Stochastic Modulation for High-Dimensional and High-Order Neural PDE Solvers Solving Schr\"{o}dinger Equation Using Tensor Neural Network

Reference 48

Resolution
verified exact
arxiv_id, observed 2026-07-04T07:59:40.339369Z

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.

source=pdf_text observed=2026-06-26T12:20:25.523371Z digest=sha256:a09dd32607e739b064da2ffad4b563e695f3cd4d366450c44b4edad2c99bbca4

Observation 60fca27f-c476-4a43-89a2-4378cadb66f5 · inbound

fTNN: a tensor neural network for fractional PDEs cites this paper.

fTNN: a tensor neural network for fractional PDEs Solving Schr\"{o}dinger Equation Using Tensor Neural Network

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-07-04T13:29:51.902268Z

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.

source=pdf_text observed=2026-06-26T05:09:15.152114Z digest=sha256:5d4f9d2f1d970cd98f5ecff8aef9d84d76a63467c939d287c1b7c2c5733066ee