Paper Citation Record · LEDGER

Analytical and Neural Network Approaches for Solving Two-Dimensional Nonlinear Transient Heat Conduction

As of 19 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2504.02845.

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

pith.paper-citation-record.v1
2504.02845 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 2026-08-19T06:32:44.657259+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:14:27.805178Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-18T23:36:54.615442Z

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 83032272-2cc0-41a3-a83a-ca93f7faa62e · inbound

An LSTM-PINN Hybrid Method to the specific problem of population forecasting cites this paper.

An LSTM-PINN Hybrid Method to the specific problem of population forecasting Analytical and Neural Network Approaches for Solving Two-Dimensional Nonlinear Transient Heat Conduction

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T04:14:27.805178Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7210b80c-eea9-4a5c-80c5-d3658ad85435 · inbound

LNN-PINN: A Unified Physics-Only Training Framework with Liquid Residual Blocks cites this paper.

LNN-PINN: A Unified Physics-Only Training Framework with Liquid Residual Blocks Analytical and Neural Network Approaches for Solving Two-Dimensional Nonlinear Transient Heat Conduction

Reference 4

Resolution: verified exact; arxiv_id, observed 2026-05-18T23:36:54.618719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2bfbd244-3683-403d-a2aa-87e3e6239994 · inbound

Effects of fuel and soot concentrations on the inception and development of contrails cites this paper.

Effects of fuel and soot concentrations on the inception and development of contrails Analytical and Neural Network Approaches for Solving Two-Dimensional Nonlinear Transient Heat Conduction

Reference 13

Resolution: unresolved; no resolver link, observed 2026-07-13T20:59:04.410769Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5547f8fb-a0c6-496a-b604-b587010e3101 · inbound

LSTM-PINN for Steady-State Electrothermal Transport: Preserving Multi-Field Consis tency in Strongly Coupled Heat and Fluid Flow cites this paper.

LSTM-PINN for Steady-State Electrothermal Transport: Preserving Multi-Field Consis tency in Strongly Coupled Heat and Fluid Flow Analytical and Neural Network Approaches for Solving Two-Dimensional Nonlinear Transient Heat Conduction

Reference 38

Resolution: verified exact; arxiv_id, observed 2026-05-13T18:33:06.606718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 46796fcb-814e-472f-a1f8-b3ab54c8ab3a · inbound

High-Fidelity Reconstruction of Charge Boundary Layers and Sharp Interfaces in Electro-Thermal-Convective Flows via Residual-Attention PINNs cites this paper.

High-Fidelity Reconstruction of Charge Boundary Layers and Sharp Interfaces in Electro-Thermal-Convective Flows via Residual-Attention PINNs Analytical and Neural Network Approaches for Solving Two-Dimensional Nonlinear Transient Heat Conduction

Reference 18

Resolution: verified exact; arxiv_id, observed 2026-05-11T08:05:59.722337Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.