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Paper Citation Record · LEDGER

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

As of 18 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 2026-08-18T06:34:40.430872+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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:14:27.688305Z digest=sha256:7e1c37b5f50aa3793e80a027272f4f4d6130ea4c54982b0571d957e509a3f5f4

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:14:27.695300Z digest=sha256:969e2fa1562e3c2ec3fadf61d0fbc74297a0620bb5c0dab7a080c5f0c0970988

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:14:27.700135Z digest=sha256:53104357e144efed5a2295ae9b6b38362082041131be1757f7ec5a3d236ec1fd

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:14:27.704452Z digest=sha256:1edc7ad129c2d5bb3f5d95620db4ae3fe88a00e3e9117e1f96471dd355e86f8d

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:14:27.709276Z digest=sha256:b86ff3fc9f406fb68edd607c039a725945a1c3aff21b19683948d76026341f00

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:14:27.714609Z digest=sha256:e4ea1bf877fa53f0344d7813f85ebb2ed704a651c3917ae152c7d0bad7abc535

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:14:27.720400Z digest=sha256:54c18b942b2bf9cbc9d260c203f5e98d82bab2d3d9937741114d48b67292ef3b

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:14:27.740644Z digest=sha256:6efb85e529307d0417630d9e1d788ebcaeff4e311bc4082730df7e785f6934e4

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:14:27.780850Z digest=sha256:0ccf6ff323ae331433d2159ccbbd86450867fe96c632038386ba024571765075

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:14:27.784562Z digest=sha256:98093a4a7c1e7a4f95a6003cd17e5dd01f63f366b744e9ca3d29a9c04bf0f7c4

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:14:27.788814Z digest=sha256:a80604d902701f0899f9a0f8a00e326af1ef866e75a3a01610ad6cfc59d0c137

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:14:27.793007Z digest=sha256:a60619e00f50e4fd0d6a3212459f04e74de0a5734dd336ec6a37250d48a9dd59

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:14:27.796992Z digest=sha256:a4d3ef2ccaabcfd916c090ef7d5c5e459e339039d90f1fb91e62b1d9026b6f4f

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:14:27.801084Z digest=sha256:67dcb6c3081c2217491cc105fe6ac885e47bd2ada55fcbab9f0e59128d7b0df6

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.

source=pdf_text observed=2026-08-16T04:14:27.805178Z digest=sha256:f74119b738bc158b7cc4681141a34d7e95353e5ee399da10ff6335c6b7ebe8b5

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-16T04:14:27.809547Z digest=sha256:27e489e58a804a156af7661449575cbf66d532c8d6be1e7717f39d9668910fe3

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.

source=pdf_text observed=2026-07-13T20:59:04.410769Z digest=sha256:2a9470091a794dae756db3352a298c1138a754d34f7ef100993027fe17e859bb

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-13T18:31:03.500475Z digest=sha256:befcb53d2fece8d88c3bf3497f2b384cc230ce989068fdcb4cf6f2c46ec471b2