Paper Citation Record · LEDGER

Quantum-Inspired Solver for Simulating Material Deformations

As of 17 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 1 inbound Pith citation observation for arXiv:2501.12151.

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

pith.paper-citation-record.v1
2501.12151 v2

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T17:31:58.644597Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T12:17:28.668501Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

13 of 13 outbound references displayed

verified exact3
verified fuzzy1
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 650a3d66-2e56-4baa-ad9d-b65d34772879 · outbound

This paper cites Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics.

Quantum-Inspired Solver for Simulating Material Deformations Finite Elements: Theory, Fast Solvers, and Applications in Solid Mechanics

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:58.863255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 919925f5-5eae-47dd-8f25-f0d16fd1fe0e · outbound

This paper cites Low-rank tensor methods for partial differential equations.

Quantum-Inspired Solver for Simulating Material Deformations Low-rank tensor methods for partial differential equations

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-10T17:31:58.602957Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 23cb2726-7603-41cf-9e0c-a03d42b82da5 · outbound

This paper cites A practical introduction to tensor networks: Matrix product states and projected entangled pair states.

Quantum-Inspired Solver for Simulating Material Deformations A practical introduction to tensor networks: Matrix product states and projected entangled pair states

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T17:31:58.606574Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 721650c8-f4f8-495e-bf23-67539ebf60bc · outbound

This paper cites Tensor Networks in a Nutshell.

Quantum-Inspired Solver for Simulating Material Deformations Tensor Networks in a Nutshell

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-10T17:31:58.610428Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 501baf20-3ea3-42a9-a156-63b11b731738 · outbound

This paper cites Markeeva, I.

Quantum-Inspired Solver for Simulating Material Deformations Markeeva, I

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T17:31:58.615015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4b0e3bd7-8c6b-4ec0-81f3-e26bdf74392d · outbound

This paper cites Stability of low-rank tensor representations and structured multilevel preconditioning for elliptic pdes.

Quantum-Inspired Solver for Simulating Material Deformations Stability of low-rank tensor representations and structured multilevel preconditioning for elliptic pdes

Reference 6

Resolution: verified exact; doi, observed 2026-08-10T17:31:58.708254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4c00bbec-c189-400a-a921-cab514453bca · outbound

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

Quantum-Inspired Solver for Simulating Material Deformations Numerical solution of the incompressible Navier-Stokes equations for chemical mixers via quantum-inspired Tensor Train Finite Element Method

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T17:31:58.622824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0441d241-ab19-4688-adab-ddd430e35fdc · outbound

This paper cites Tetrafem: Numerical solution of partial differential equations using tensor train finite element method.

Quantum-Inspired Solver for Simulating Material Deformations Tetrafem: Numerical solution of partial differential equations using tensor train finite element method

Reference 8

Resolution: verified exact; doi, observed 2026-08-10T17:31:58.698195Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 970b29a2-5cca-491e-baf6-b3d394f8d9be · outbound

This paper cites A Low-Rank QTT-based Finite Element Method for Elasticity Problems.

Quantum-Inspired Solver for Simulating Material Deformations A Low-Rank QTT-based Finite Element Method for Elasticity Problems

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:31:58.733889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 687ea419-fd2b-41c1-837e-14decdf1ef90 · outbound

This paper cites an unresolved cited work.

Quantum-Inspired Solver for Simulating Material Deformations Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T17:31:58.634025Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9f136c63-c0ca-412a-bcf6-fa7f36e78c38 · outbound

This paper cites an unresolved cited work.

Quantum-Inspired Solver for Simulating Material Deformations Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T17:31:58.637469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bb61114f-a2ff-4727-a6e3-84c7e1ce24fa · outbound

This paper cites Tt-cross approximation for multidimensional arrays.

Quantum-Inspired Solver for Simulating Material Deformations Tt-cross approximation for multidimensional arrays

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-10T17:31:58.641210Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bbc1fa89-8c64-49a7-80a9-e7d884c60049 · outbound

This paper cites Dolgov and Dmitry V.

Quantum-Inspired Solver for Simulating Material Deformations Dolgov and Dmitry V

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-10T17:31:58.644597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 816cf349-a97a-440a-b33d-e318fc856bf0 · inbound

Efficient upsampling for tensor-network and quantum-state encoded functions cites this paper.

Efficient upsampling for tensor-network and quantum-state encoded functions Quantum-Inspired Solver for Simulating Material Deformations

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-03T12:17:28.668501Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.