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Paper Citation Record · LEDGER

Numerical solution of the incompressible Navier-Stokes equations for chemical mixers via quantum-inspired Tensor Train Finite Element Method

As of 5 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2305.10784.

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

pith.paper-citation-record.v1
2305.10784 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-04T06:34:03.388597+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T21:31:02.467458Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-10T06:15:00.866473Z

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 b15bf20c-5bae-4b17-a79c-c75e77913f30 · inbound

Tensor-Programmable Quantum Circuits for Solving Differential Equations cites this paper.

Tensor-Programmable Quantum Circuits for Solving Differential Equations Numerical solution of the incompressible Navier-Stokes equations for chemical mixers via quantum-inspired Tensor Train Finite Element Method

Reference 49

Resolution
verified exact
arxiv_id, observed 2026-05-09T06:14:30.682104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation 2ca1916d-efe3-4120-b623-154f2324c124 · inbound

Quantum-Inspired Tensor-Network Fractional-Step Method for Incompressible Flow in Curvilinear Coordinates cites this paper.

Quantum-Inspired Tensor-Network Fractional-Step Method for Incompressible Flow in Curvilinear Coordinates Numerical solution of the incompressible Navier-Stokes equations for chemical mixers via quantum-inspired Tensor Train Finite Element Method

Reference 81

Resolution
verified exact
arxiv_id, observed 2026-05-19T05:57:08.404599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

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Observation f1bf72e5-c7ff-4706-a8e3-3bdf09d3e8c9 · inbound

Diagnosing phase transitions through time-scale entanglement cites this paper.

Diagnosing phase transitions through time-scale entanglement Numerical solution of the incompressible Navier-Stokes equations for chemical mixers via quantum-inspired Tensor Train Finite Element Method

Reference 33

Resolution
verified exact
arxiv_id, observed 2026-05-19T04:52:03.644720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-19T04:51:08.703846Z digest=sha256:add8c0edb19b88b1afd487ac2d5b6fec1b898ea4380cb1e21a825f8e3eeeb3ad

Observation 92a45777-1254-463a-9f87-3aa7961ad5f7 · inbound

A review of quantum machine learning and quantum-inspired applied methods to computational fluid dynamics cites this paper.

A review of quantum machine learning and quantum-inspired applied methods to computational fluid dynamics Numerical solution of the incompressible Navier-Stokes equations for chemical mixers via quantum-inspired Tensor Train Finite Element Method

Reference 46

Resolution
metadata mismatch
arxiv_id, observed 2026-05-18T06:42:26.712112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-18T06:41:57.161564Z digest=sha256:b022b07901059630ecec9021a1d36a12e99e07b7b69063da36c845d4f9a96459

Observation 562c0257-a55a-48ca-8cbf-1a254f61c4ec · inbound

Tensor-network approach to quantum optical state evolution beyond the Fock basis cites this paper.

Tensor-network approach to quantum optical state evolution beyond the Fock basis Numerical solution of the incompressible Navier-Stokes equations for chemical mixers via quantum-inspired Tensor Train Finite Element Method

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-03T21:31:02.467458Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T21:31:02.467458Z digest=sha256:a3520326a7999bd23c361846f4587f1c974d1b103418c6984456379500b63a54

Observation 5ba09778-f980-4cdd-864b-309afd809ce7 · inbound

Fast elementwise operations on tensor trains with alternating cross interpolation cites this paper.

Fast elementwise operations on tensor trains with alternating cross interpolation Numerical solution of the incompressible Navier-Stokes equations for chemical mixers via quantum-inspired Tensor Train Finite Element Method

Reference 17

Resolution
verified exact
arxiv_id, observed 2026-05-15T00:28:22.904322Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-15T00:25:20.432328Z digest=sha256:db5c54e431e868a7007ee3ccb61d5ed565c31290deb193ae140050e84598e7f7

Observation 9a63b975-f5d5-4a65-ade9-e5e2994570ea · inbound

Tailoring tensor network techniques to the quantics representation for highly inhomogeneous problems and few body problems cites this paper.

Tailoring tensor network techniques to the quantics representation for highly inhomogeneous problems and few body problems Numerical solution of the incompressible Navier-Stokes equations for chemical mixers via quantum-inspired Tensor Train Finite Element Method

Reference 18

Resolution
verified exact
arxiv_id, observed 2026-05-10T17:40:40.263397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-05-10T17:38:40.466236Z digest=sha256:6e5b623fec60e7c9e0685b36febc09981feb153a205a2c7e247b0c944738e6b7

Observation 123f5afd-0f8d-4050-8566-2230b3a7abab · inbound

A practical investigation on time integration in the quantized tensor train format cites this paper.

A practical investigation on time integration in the quantized tensor train format Numerical solution of the incompressible Navier-Stokes equations for chemical mixers via quantum-inspired Tensor Train Finite Element Method

Reference 16

Resolution
metadata mismatch
arxiv_id, observed 2026-06-30T22:05:06.184216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.

source=pdf_text observed=2026-06-30T21:55:30.043914Z digest=sha256:3377971fdca42be7db31b4456901278d883b0ce871741e9d72e068fea5b940c9