Paper Citation Record · LEDGER

An LSTM-PINN Hybrid Method to the specific problem of population forecasting

As of 20 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 2 inbound Pith citation observations for arXiv:2505.01819.

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

pith.paper-citation-record.v1
2505.01819 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:14:27.809547Z

measured 18 of 18 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T20:59:04.410769Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-13T18:33:06.607839Z

Reference resolution

16 of 16 outbound references displayed

verified exact1
verified fuzzy12
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0734c22a-5198-43b2-81d6-44764a34a65a · outbound

This paper cites International Monetary Fund, 2024.

An LSTM-PINN Hybrid Method to the specific problem of population forecasting International Monetary Fund, 2024

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:14:28.100229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation f09b47f5-49e7-4835-ba64-502454a31102 · outbound

This paper cites Population aging as a global issue.

An LSTM-PINN Hybrid Method to the specific problem of population forecasting Population aging as a global issue

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:14:28.088442Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 441e4ed1-b51a-450e-ae35-ea85355e93dc · outbound

This paper cites Social interactions and fluctuations in birth rates.Population Studies, 54(2):223–237, 2000.

An LSTM-PINN Hybrid Method to the specific problem of population forecasting Social interactions and fluctuations in birth rates.Population Studies, 54(2):223–237, 2000

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:14:28.077398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 1aeea7a8-860f-4936-adb9-3138e0f1d710 · outbound

This paper cites Changing fertility patterns in china.Chinese Journal of Sociology, 9(4):497–521, 2023.

An LSTM-PINN Hybrid Method to the specific problem of population forecasting Changing fertility patterns in china.Chinese Journal of Sociology, 9(4):497–521, 2023

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:14:28.065893Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 02e0694e-6919-434c-ac2c-5d00bafa7f8b · outbound

This paper cites Heterogeneously structured compartmental models of epidemiological systems: from individual-level processes to population-scale dynamics.

An LSTM-PINN Hybrid Method to the specific problem of population forecasting Heterogeneously structured compartmental models of epidemiological systems: from individual-level processes to population-scale dynamics

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-16T04:14:27.882346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 577a7aae-bacc-48cc-a890-5276c8b60732 · outbound

This paper cites A systematic procedure for incorporating separable static heterogeneity into compartmental epidemic models.

An LSTM-PINN Hybrid Method to the specific problem of population forecasting A systematic procedure for incorporating separable static heterogeneity into compartmental epidemic models

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:14:28.055023Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 2f8be1c2-bfdc-439e-8dd7-3086c0e8dc9c · outbound

This paper cites A comparative study of compartmental models for covid-19 transmission in ontario, canada.Scientific Reports, 13(1):15050, 2023.

An LSTM-PINN Hybrid Method to the specific problem of population forecasting A comparative study of compartmental models for covid-19 transmission in ontario, canada.Scientific Reports, 13(1):15050, 2023

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:14:28.042080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 0f251c8d-3845-4cc8-a62f-4ca4be3bc22d · outbound

This paper cites Boundaryvalueproblemfortheloadedmckendrickvonfoersterequation of fractional order.Adyghe International Scientific Journal, 23(4):28–33, 2023.

An LSTM-PINN Hybrid Method to the specific problem of population forecasting Boundaryvalueproblemfortheloadedmckendrickvonfoersterequation of fractional order.Adyghe International Scientific Journal, 23(4):28–33, 2023

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:14:28.029398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation d036b3dc-f658-4c68-b122-00a224fe8599 · outbound

This paper cites From individual-based epidemic models to mckendrick-von foerster pdes: A guide to modeling and inferring covid-19 dynamics.Journal of Mathematical Biology, 85(4):43, 2022.

An LSTM-PINN Hybrid Method to the specific problem of population forecasting From individual-based epidemic models to mckendrick-von foerster pdes: A guide to modeling and inferring covid-19 dynamics.Journal of Mathematical Biology, 85(4):43, 2022

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:14:28.015006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7f0bc7bb-02a9-4ff6-9c8a-704abf41afd0 · outbound

This paper cites Numerical solution to a nonlinear mckendrick-von foerster equation with diffusion.Numerical Algorithms, 92(2):1007–1039, 2023.

An LSTM-PINN Hybrid Method to the specific problem of population forecasting Numerical solution to a nonlinear mckendrick-von foerster equation with diffusion.Numerical Algorithms, 92(2):1007–1039, 2023

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:14:28.000872Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 3f69d349-447a-48bd-917c-9bb5944d1851 · outbound

This paper cites Ahigherordernumericalschemetoanonlinearmckendrick–vonfoersterequationwithsingular mortality.

An LSTM-PINN Hybrid Method to the specific problem of population forecasting Ahigherordernumericalschemetoanonlinearmckendrick–vonfoersterequationwithsingular mortality

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:14:27.986486Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 888e3974-55b8-4976-a61a-d05db359bc5e · outbound

This paper cites an unresolved cited work.

An LSTM-PINN Hybrid Method to the specific problem of population forecasting Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:14:27.973046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 4e98f9fa-72e4-4330-a7af-4e554286e031 · outbound

This paper cites A data-driven crowd simulation framework integrating physics-informed machine learning with navigation potential fields.IEEE Transactions on Computational Social Systems, 2025.

An LSTM-PINN Hybrid Method to the specific problem of population forecasting A data-driven crowd simulation framework integrating physics-informed machine learning with navigation potential fields.IEEE Transactions on Computational Social Systems, 2025

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:14:27.959933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 888c7fe0-0038-415f-8eb5-4ababd91b35c · outbound

This paper cites Data-driven machine learning approach based on physics-informed neural network for population balance model.Advances in Continuous and Discrete Models, 2025(1):12, 2025.

An LSTM-PINN Hybrid Method to the specific problem of population forecasting Data-driven machine learning approach based on physics-informed neural network for population balance model.Advances in Continuous and Discrete Models, 2025(1):12, 2025

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T04:14:27.928478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 83032272-2cc0-41a3-a83a-ca93f7faa62e · outbound

This paper cites Analytical and Neural Network Approaches for Solving Two-Dimensional Nonlinear Transient Heat Conduction.

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 4f67e8bf-0ea7-4754-9e40-6d5c02b3e36b · outbound

This paper cites an unresolved cited work.

An LSTM-PINN Hybrid Method to the specific problem of population forecasting Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-16T04:14:27.912540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Pith citing papers

Observation 1ed754b2-b02a-4058-8ca9-86deccf0727d · 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 An LSTM-PINN Hybrid Method to the specific problem of population forecasting

Reference 11

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 15db547f-1a38-4483-b993-0ca8541c788c · 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 An LSTM-PINN Hybrid Method to the specific problem of population forecasting

Reference 39

Resolution: verified exact; arxiv_id, observed 2026-05-13T18:33:06.609263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.