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Paper Citation Record · LEDGER

Legendre Deep Neural Network (LDNN) and its application for approximation of nonlinear Volterra Fredholm Hammerstein integral equations

As of 23 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 2 inbound Pith citation observations for arXiv:2106.14320.

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

pith.paper-citation-record.v1
2106.14320 v1

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 2 of 2 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:20:31.882535Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T10:50:51.116211Z

Reference resolution

0 of 0 outbound references displayed

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  • verified fuzzy0
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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 71d2feff-bef5-4a66-ae80-cd4b94010952 · inbound

General Transform: A Unified Framework for Adaptive Transform to Enhance Representations cites this paper.

General Transform: A Unified Framework for Adaptive Transform to Enhance Representations Legendre Deep Neural Network (LDNN) and its application for approximation of nonlinear Volterra Fredholm Hammerstein integral equations

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-15T23:20:31.882535Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-15T23:20:31.882535Z digest=sha256:a09924d5c28133c197d2e8d9114d0197534675f0fff58b881b60ad2402a58975

Observation c83e57a8-e01e-4dbe-b488-8d8c25221d32 · inbound

BridgeNet: A Hybrid, Physics-Informed Machine Learning Framework for Solving High-Dimensional Fokker-Planck Equations cites this paper.

BridgeNet: A Hybrid, Physics-Informed Machine Learning Framework for Solving High-Dimensional Fokker-Planck Equations Legendre Deep Neural Network (LDNN) and its application for approximation of nonlinear Volterra Fredholm Hammerstein integral equations

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-07T10:50:51.122044Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-08-07T10:50:50.153414Z digest=sha256:0105a2f982a072a0a969fea1eb2e75b07d27e8a7361fafce420f059634f93aab