Pith. sign in

Paper Citation Record · LEDGER

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network

As of 13 August 2026, this Paper Citation Record lists 55 of 55 outbound references and 0 inbound Pith citation observations for arXiv:2501.18078.

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

pith.paper-citation-record.v1
2501.18078 v1

Coverage vector

measured 55 of 55 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T00:50:57.136985Z

measured 55 of 55 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

55 of 55 outbound references displayed

  • verified exact24
  • verified fuzzy14
  • unresolved16
  • parse uncertain0
  • malformed identifier1
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7f7bbc7b-41ca-47d4-8837-4c15ebf40d2b · outbound

This paper cites critical temperatures.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network critical temperatures

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:50:58.781871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.872199Z digest=sha256:56efc06f70a75211f3e13fd58ff46d96eda240996d54c58deefc0db6bbc40ad8

Observation 0769a9ce-7e3d-42f2-a723-15e60b7cdf98 · outbound

This paper cites an unresolved cited work.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:50:58.752840Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.882543Z digest=sha256:80cf92adb3f5862de40d264415b235f82e73a74f540454912193a261968f64d6

Observation 9f581b0f-30d0-43d5-a2b5-ec7a15f51192 · outbound

This paper cites an unresolved cited work.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:50:58.708598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.897459Z digest=sha256:fc83c01f05a9ea2b775928f456c4e872f5f6c51f67a8b7afc1d8caeff43f97c1

Observation fe287353-db63-41f8-b183-bcbc2247ef0c · outbound

This paper cites critical temperature for the bottom side of the TPS.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network critical temperature for the bottom side of the TPS

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:50:58.738047Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.887795Z digest=sha256:54509875aba29e7fa726fb01a97fe8706d94c13fd48c97d97a05eae24a424891

Observation c9207da6-89a2-4d52-855b-32c8011a8c65 · outbound

This paper cites an unresolved cited work.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:50:58.723033Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.892614Z digest=sha256:290681f0ffae6b460079a9be74ba0da20e216e3165ba60a6523e7f73573b41f3

Observation 7258cebe-7a16-4619-be0b-ae77cad5b8f0 · outbound

This paper cites an unresolved cited work.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:50:58.663215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.912173Z digest=sha256:863828f0115ce89893b2f767df14dcc46df5259980b1a384ea26e1bc6d4118da

Observation 851293e0-57ca-4ba8-aae0-3c2a11ff89b3 · outbound

This paper cites an unresolved cited work.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:50:58.693436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.902835Z digest=sha256:b70b5bdd45446fe3f50783c970ba347e7ad74de0ba7e1d5b792829180eb4d5c0

Observation 5d3bd7a4-0187-4f78-870d-2c1ed9e92af2 · outbound

This paper cites Keep sampling until the parameters stabilize and meet the critical temperature constraint.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Keep sampling until the parameters stabilize and meet the critical temperature constraint

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:50:58.678002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.907497Z digest=sha256:6c9a97558cdd0b9719643c6b3c015b367c4fddbd9e90117eb8ddcd0112360a74

Observation b7790d5a-4185-4008-8ee5-09303819b2de · outbound

This paper cites Needs and Opportunities for Uncertainty-Based Multidisciplinary Design Methods for Aerospace Vehicles,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Needs and Opportunities for Uncertainty-Based Multidisciplinary Design Methods for Aerospace Vehicles,

Reference 9

Resolution
verified exact
raw_fallback, observed 2026-08-10T00:50:58.430976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.986736Z digest=sha256:90f12d2ab76de2eb44b26d289d7a4ca92d5799bb18bbd150dde7ed9a0aabc905

Observation 677a3fe2-a56e-4420-9397-0936a6b54a2d · outbound

This paper cites Adjust the parameters and constraints to improve performance if needed.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Adjust the parameters and constraints to improve performance if needed

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:50:58.648329Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.917004Z digest=sha256:8939b41419a3ad5f1b19b5acbc030488098fca0f7e278a2a74339b7121b5c9b2

Observation 6f9a2798-40d5-4db2-be7b-293c1b97085e · outbound

This paper cites If not, continue adjusting and testing.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network If not, continue adjusting and testing

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:50:58.633214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.921603Z digest=sha256:a077f16cd9a64fdb2df65cd93514d5b88235b72a84f8f133310cbdfb89ec26b0

Observation 5a974b30-159c-454d-8988-d27d34d5edbe · outbound

This paper cites The back temperature should not exceed a certain limit on the inside of the TPS.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network The back temperature should not exceed a certain limit on the inside of the TPS

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:50:58.619428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.926348Z digest=sha256:32e4ae43106a9bb0b48582d22995fbcbe5ee867e1c00f6ecb55ee55023839cc2

Observation 71d53ae4-fbbb-48ae-8a6c-335937936c2f · outbound

This paper cites The process begins with the selection of initial parameters, where geometric dimensions and material properties are chosen based on available materials or engineering estimates.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network The process begins with the selection of initial parameters, where geometric dimensions and material properties are chosen based on available materials or engineering estimates

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:50:58.603800Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.931191Z digest=sha256:2c141fc2f9439f8d64917b2ee693bee857ed0081637ebca1b04b2f76c0cbde83

Observation 2f60c5a5-c135-4028-8769-92a5879740c7 · outbound

This paper cites The numerical solution of the Eq.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network The numerical solution of the Eq

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:50:58.588159Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.936080Z digest=sha256:343e85f8d67eafbd711218b0e45e7328618a2c0a34464abe75ad253849c10ef2

Observation 1cfac7ab-ab35-4d39-a5bd-6e6d6a278458 · outbound

This paper cites The PINN model showed good accuracy while running many times faster for parallel simulations.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network The PINN model showed good accuracy while running many times faster for parallel simulations

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:50:58.573239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.941250Z digest=sha256:4f2a32edb23ca27b83aa0d192953d9d7201e87312e43e22a74f5da617aabb800

Observation 7e1543d0-9371-4459-9321-d8274a104ea9 · outbound

This paper cites Probabilistic Design Method for Aircraft Thermal Protective Layers Based on Surrogate Models,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Probabilistic Design Method for Aircraft Thermal Protective Layers Based on Surrogate Models,

Reference 16

Resolution
verified exact
doi, observed 2026-08-10T00:50:57.586135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.945996Z digest=sha256:722b0cb6f6387ab51b9dbb4178a044427a4537abf9972164d4141be8c4f83b35

Observation 52de5022-3eab-4abc-9a48-ec3b25f22fac · outbound

This paper cites Efficient strategy for reliability-based optimization design of multidisciplinary coupled system with interval parameters,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Efficient strategy for reliability-based optimization design of multidisciplinary coupled system with interval parameters,

Reference 17

Resolution
verified exact
doi, observed 2026-08-10T00:50:57.571075Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.951147Z digest=sha256:d661bf8e37b2f941fa3cc7c9e47f57a0dc8a19455cbe04539273c30e9ee4e698

Observation db61543c-5f10-4856-b7e1-6b150ec6a25e · outbound

This paper cites Design of Thermal Protection System for Reusable Hypersonic Vehicle Using Inverse Approach,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Design of Thermal Protection System for Reusable Hypersonic Vehicle Using Inverse Approach,

Reference 18

Resolution
verified exact
doi, observed 2026-08-10T00:50:57.555180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.956225Z digest=sha256:1f67a7f50f2f829057eaa0e6e38f91aabf43bcfe1d4389dfba9d3206beb12c18

Observation 3ce6243e-6103-449a-ae9a-6a4f05268ddd · outbound

This paper cites Thermal Protection System and Thermal Management for Combined-Cycle Engine: Review and Prospects,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Thermal Protection System and Thermal Management for Combined-Cycle Engine: Review and Prospects,

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-10T00:50:56.961218Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:50:56.961218Z digest=sha256:1e242b1e3a0a65c243e15f94da81e854c9f6fda5b0fbcbff4821ca0ac75f7061

Observation 23d034bf-5e08-49fc-9350-d37801373538 · outbound

This paper cites A Parametric Physics-Informed Deep Learning Method for Probabilistic Design of Thermal Protection Systems,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network A Parametric Physics-Informed Deep Learning Method for Probabilistic Design of Thermal Protection Systems,

Reference 20

Resolution
verified exact
doi, observed 2026-08-10T00:50:57.529688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.966465Z digest=sha256:e42c185403b9f36c91325dd1702104ef1a94208d0e8086ba60c5ea139a0c99d1

Observation 29039e7d-60ec-4ccb-a50b-3985e97223e0 · outbound

This paper cites Thermal protection systems for space vehicles: A review on technology development, current challenges and future prospects,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Thermal protection systems for space vehicles: A review on technology development, current challenges and future prospects,

Reference 21

Resolution
verified exact
doi, observed 2026-08-10T00:50:57.514223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.971906Z digest=sha256:e6263f36604aba3a9936594a0cb2bfac57224b2546f86991c57a5d2e2d86ceff

Observation c2d8e1c2-3a87-4630-94f7-e446f6010c5e · outbound

This paper cites Probabilistic transient thermal analysis of an atmospheric reentry vehicle structure,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Probabilistic transient thermal analysis of an atmospheric reentry vehicle structure,

Reference 22

Resolution
verified exact
doi, observed 2026-08-10T00:50:57.498844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.977030Z digest=sha256:8c35fe2328732f532104abc7d94bd0c3632927c16d55681784102dff353d62b9

Observation af280946-8532-48a0-88aa-da90d4d3b11f · outbound

This paper cites an unresolved cited work.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:50:58.557810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.981819Z digest=sha256:083c236f495df4af54ebd03630b168c94d657e5467a36fdd0039c22cf2588724

Observation 93882311-cf58-47d4-90b5-f33caf54fcdb · outbound

This paper cites Monte Carlo Treatment of Data Uncertainties in Thermal Analysis,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Monte Carlo Treatment of Data Uncertainties in Thermal Analysis,

Reference 24

Resolution
verified exact
doi, observed 2026-08-10T00:50:57.308927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.058003Z digest=sha256:7c24507fad38066b2d6d4db70d4a911e9bf91c724a814f020253c9bfdcdc9d6d

Observation 369642e6-8bba-49b7-984d-814e28421f80 · outbound

This paper cites an unresolved cited work.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:50:58.767394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.877643Z digest=sha256:35ed575df1513b55ece96aa6e1b5afdf92621cdbb98f3c807ee2984fe826b216

Observation c19848a9-02bb-4356-98c7-f32d350c9fc9 · outbound

This paper cites Reliability-Based Optimization for Multidisciplinary System Design,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Reliability-Based Optimization for Multidisciplinary System Design,

Reference 26

Resolution
verified exact
doi, observed 2026-08-10T00:50:57.482690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.991178Z digest=sha256:76c2c2f6bea6173babca770b2f4fb8f4073942004f7b224ddfa3633580f59b09

Observation 850f6853-1ee2-4a7b-8b00-5c753c9e7880 · outbound

This paper cites Probabilistic Design of a Mars Sample Return Earth Entry Vehicle Thermal Protection System,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Probabilistic Design of a Mars Sample Return Earth Entry Vehicle Thermal Protection System,

Reference 27

Resolution
verified exact
raw_fallback, observed 2026-08-10T00:50:58.300722Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:56.995992Z digest=sha256:810c87fe9196fd1d5687f4d6a3aa991f0b3b148adc6aa1a7992fa5513abb9331

Observation 2dff1f66-8219-467f-bc01-9cd2e3346084 · outbound

This paper cites an unresolved cited work.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 28

Resolution
unresolved
no resolver link, observed 2026-08-10T00:50:57.000430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:50:57.000430Z digest=sha256:dfaebd6242fe9e0c82a61c6ea059f7a7460879399e58bcc67f73f72b7301b99b

Observation 8cb70624-1ae7-4568-b921-610079f214c1 · outbound

This paper cites Heat Conduction Plate Layout Optimization Using Physics-Driven Convolutional Neural Networks,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Heat Conduction Plate Layout Optimization Using Physics-Driven Convolutional Neural Networks,

Reference 29

Resolution
verified exact
doi, observed 2026-08-10T00:50:57.455015Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.005351Z digest=sha256:ad0ee6acb787b53c1c0861b4bbcdc21414bdf04cbb079cc2ee865f07a4a016f6

Observation 63d7282e-5b17-4912-ac50-530a285cb3a9 · outbound

This paper cites On Machine-Learning-Driven Surrogates for Sound Transmission Loss Simulations,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network On Machine-Learning-Driven Surrogates for Sound Transmission Loss Simulations,

Reference 30

Resolution
verified exact
doi, observed 2026-08-10T00:50:57.439979Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.009868Z digest=sha256:780ff6c9eba7f1edd8c54e857ea7f3be8be64abcca663d66d79f4e728c9e742c

Observation bad1d9b9-6fae-4e4b-9ac9-70b189721aaf · outbound

This paper cites Uncertainty Analysis of Integrated Thermal Protection System with Rigid Insulation Bars,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Uncertainty Analysis of Integrated Thermal Protection System with Rigid Insulation Bars,

Reference 31

Resolution
verified exact
doi, observed 2026-08-10T00:50:57.424751Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.014110Z digest=sha256:8d7bffdfd93346acefe91355e1b69abf59e1365747c568b45601f2540829d7b0

Observation fd7b5e58-1aaf-4349-84ad-6b28333a9668 · outbound

This paper cites Uncertainty Quantification of Aero-Thermal Performance of a Blade Endwall Considering Slot Geometry Deviation and Mainstream Fluctuation,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Uncertainty Quantification of Aero-Thermal Performance of a Blade Endwall Considering Slot Geometry Deviation and Mainstream Fluctuation,

Reference 32

Resolution
verified exact
doi, observed 2026-08-10T00:50:57.407288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.018835Z digest=sha256:bb8abbf1befb34ef9ea67b3a7756f1fc5f72f419f24d7cc78a46c5cee15214ed

Observation 093fce07-afc2-42e2-b492-da9ba76c42ed · outbound

This paper cites Thermo-mechanical optimization of metallic thermal protection system under aerodynamic heating,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Thermo-mechanical optimization of metallic thermal protection system under aerodynamic heating,

Reference 33

Resolution
verified exact
doi, observed 2026-08-10T00:50:57.390424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.023887Z digest=sha256:9ade9c5a4fbfcb564bee1910e5f99252f26854f6e338187381901523cab10b4b

Observation 11c33383-1b4c-4d15-ac8c-9162ad29b4e4 · outbound

This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations,

Reference 34

Resolution
unresolved
no resolver link, observed 2026-08-10T00:50:57.028792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:50:57.028792Z digest=sha256:90c61bd6af42f23addf730f8f15ac9be55072e411835d8c0e93b0b42eb981dde

Observation 000864ae-6bb6-4e2a-9f9b-f76d1dae1a68 · outbound

This paper cites Towards a Hybrid Digital Twin: Physics-Informed Neural Networks as Surrogate Model of a Reinforced Concrete Beam,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Towards a Hybrid Digital Twin: Physics-Informed Neural Networks as Surrogate Model of a Reinforced Concrete Beam,

Reference 35

Resolution
verified exact
arxiv_id_nonexistent, observed 2026-08-10T00:50:58.172595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.033533Z digest=sha256:71ed9ec7b7bc55b5f99ef9178694bf8a4cb2d20fd77101cfe32386214923131d

Observation 0f7c2269-50d0-4f3a-b85a-5e25889d12ca · outbound

This paper cites A PINN Surrogate Modeling Methodology for Steady- State Integrated Thermofluid Systems Modeling,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network A PINN Surrogate Modeling Methodology for Steady- State Integrated Thermofluid Systems Modeling,

Reference 36

Resolution
verified exact
doi, observed 2026-08-10T00:50:57.363734Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.038238Z digest=sha256:7cbda62e34ed843609d0cc9be624cfdf81afb404fdda02ad9717fe27ee6d8108

Observation 500fdaa4-12c1-4ba9-81f3-505ee0eac099 · outbound

This paper cites PINN surrogate of Li-ion battery models for parameter inference. Part I: Implementation and multi-fidelity hierarchies for the single-particle model.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network PINN surrogate of Li-ion battery models for parameter inference. Part I: Implementation and multi-fidelity hierarchies for the single-particle model

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:50:57.348053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.043332Z digest=sha256:4d0d62d3a29ba5f450ff579370d66ad3309bedbfab17f20ab974517da492959a

Observation d4b5abb7-ba90-4011-9628-cb69f2860318 · outbound

This paper cites Physics-Informed Deep Learning- Based Modeling of a Novel Elastohydrodynamic Seal for Supercritical CO2 Turbomachinery,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Physics-Informed Deep Learning- Based Modeling of a Novel Elastohydrodynamic Seal for Supercritical CO2 Turbomachinery,

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:50:58.542690Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.048596Z digest=sha256:f577e897b965917df70783421abaaa3eab1d129cc8e3e687eb2b41a47c320d75

Observation 3b071b8c-3330-4f1c-b15e-d78922a98e01 · outbound

This paper cites Apollo thermal- protection system development,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Apollo thermal- protection system development,

Reference 39

Resolution
verified exact
doi, observed 2026-08-10T00:50:57.325060Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.053271Z digest=sha256:981cbbcaf590b46681a5e4fc56a2a2796cd166b2981c0d36336d36ce9419e6ab

Observation 1a327d80-8cca-45f1-8233-9e2989a6d316 · outbound

This paper cites Probabilistic Modeling of Aerothermal and Thermal Protection Material Response Uncertainties,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Probabilistic Modeling of Aerothermal and Thermal Protection Material Response Uncertainties,

Reference 40

Resolution
verified exact
doi, observed 2026-08-10T00:50:57.292830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.062605Z digest=sha256:c62e664d8038e6a7217cb48b86f16229ae111a5feb4aadd9b7cea552e7868f27

Observation a56c3563-48aa-41fc-ad7c-845f2ba128d1 · outbound

This paper cites A survey of Monte Carlo methods for parameter estimation,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network A survey of Monte Carlo methods for parameter estimation,

Reference 41

Resolution
unresolved
no resolver link, observed 2026-08-10T00:50:57.067403Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:50:57.067403Z digest=sha256:e558deeeadb90aecea22b8858a1d505ad09ead05c0377c22d82a45fcfbef1a42

Observation 8d75a644-dcfe-4f5d-acd3-ed03c67ec06d · outbound

This paper cites Efficient Sequential Monte-Carlo Samplers for Bayesian Inference.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Efficient Sequential Monte-Carlo Samplers for Bayesian Inference

Reference 42

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:50:57.266519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.072345Z digest=sha256:e4f3644370c187e3d5a009f12635f632ac27846b51b05dd09a9e7d42f7a54505

Observation 54fd52ce-744e-4452-987c-c167fc9a365b · outbound

This paper cites A probabilistic fatigue life prediction for adhesively bonded joints via ANNs-based hybrid model,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network A probabilistic fatigue life prediction for adhesively bonded joints via ANNs-based hybrid model,

Reference 43

Resolution
verified exact
arxiv_id_nonexistent, observed 2026-08-10T00:50:57.913628Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.077504Z digest=sha256:b7bdf97b56a3e510019fd74f399c5ae9b854561cd32fd7eb83b7ad780121cd69

Observation 9fe1be49-6000-4d4a-8cf2-0766681883b2 · outbound

This paper cites SpaceX to use LG Energy batteries for Starship rocket,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network SpaceX to use LG Energy batteries for Starship rocket,

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:50:58.527288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.082465Z digest=sha256:aadba0c2b5c5212e0683077bf9205cbfc9129482503a28b57baa48a53a8e06be

Observation cf0d45e0-7e89-4977-9a84-8b5fffc3ff5f · outbound

This paper cites an unresolved cited work.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 45

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:50:58.511281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.087259Z digest=sha256:64ab6c9aefd5093c5404ce9a4dbb05e654214ef6e7de082798380a4f898c194a

Observation 2a91bcb7-6603-4068-8805-c26a5c2ba18a · outbound

This paper cites Implicit-explicit Runge-Kutta methods for time- dependent partial differential equations,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Implicit-explicit Runge-Kutta methods for time- dependent partial differential equations,

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-10T00:50:57.092258Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:50:57.092258Z digest=sha256:d583e4f9fb6b43dbe4c0b30efaece2d8185ec96c7c1a9d08aae9b47a078b0020

Observation 2965f89d-08e3-44d8-80f5-3a3151a707e0 · outbound

This paper cites Automatic differentiation in machine learning: a survey.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Automatic differentiation in machine learning: a survey

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-10T00:50:57.097070Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:50:57.097070Z digest=sha256:c59d694f8207e393dac10fe048b829aed9319bca6e7b5c5bf914577ab0b6f515

Observation 359eb79f-9069-4d6b-979d-a86430f2d3e0 · outbound

This paper cites Deep learning | Nature.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Deep learning | Nature

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:50:58.496209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.102223Z digest=sha256:d079d62c0521a857876d0bc638a2774760a6123b42b854f056df69514710c4f9

Observation 5101f2ca-784c-4657-8009-09c7e0b6f034 · outbound

This paper cites A physics-informed deep learning framework for inversion and surrogate modeling in solid mechanics - ScienceDirect.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network A physics-informed deep learning framework for inversion and surrogate modeling in solid mechanics - ScienceDirect

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:50:58.480542Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.107046Z digest=sha256:ff562f11ddaf46b5a294529d995d832af612089c75c10bc2d90f6da96480c3e2

Observation 17d341be-9377-45a0-832c-ad0f25c4b15e · outbound

This paper cites Deep Sparse Rectifier Neural Networks,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Deep Sparse Rectifier Neural Networks,

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T00:50:58.464001Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.111947Z digest=sha256:6cdafa8a2779ddb055fe75ebc89793899ac4a84301f153323b595384f390ee41

Observation f7d2c267-ec46-4ec7-a3e6-1e776ee9fec5 · outbound

This paper cites The Metropolis-Hastings algorithm.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network The Metropolis-Hastings algorithm

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-10T00:50:57.117016Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T00:50:57.117016Z digest=sha256:d807d84519324dabff844b1d044402dc3f5814b313402587c047578a249a80b3

Observation a9efd52f-27ae-4cee-929f-81be4e67249d · outbound

This paper cites A Cloud-based Real-time Probabilistic Remaining Useful Life (RUL) Estimation using the Sequential Monte Carlo (SMC) Method.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network A Cloud-based Real-time Probabilistic Remaining Useful Life (RUL) Estimation using the Sequential Monte Carlo (SMC) Method

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-08-10T00:50:57.201049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.122276Z digest=sha256:7ca510dc8d1db03adc319647d466a7c8b8dbfc0f61d50705ae2248582e829438

Observation 0dbf2544-2a3a-474e-ab55-5bb7699b8e34 · outbound

This paper cites Sequential monte carlo: Enabling real-time and high-fidelity prognostics,.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Sequential monte carlo: Enabling real-time and high-fidelity prognostics,

Reference 53

Resolution
verified exact
raw_fallback, observed 2026-08-10T00:50:57.748914Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.128358Z digest=sha256:47d2e91f04486457a660061a1bc572e0cc12b4d5de20ee64a4a917ae5129b16a

Observation 1f9cda53-e094-4b1c-8151-acefba5b3bf5 · outbound

This paper cites Thermal Characterization of Carbon Fiber-Reinforced Carbon Composites (C/C),.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Thermal Characterization of Carbon Fiber-Reinforced Carbon Composites (C/C),

Reference 54

Resolution
malformed identifier
doi_truncated, observed 2026-08-10T00:50:57.177607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.132656Z digest=sha256:7274d67d5050f587e011967ca0b4b9580c913cfa81ca4e411d5e294d75954b84

Observation 4a4daee0-da5b-4ce2-ac65-580b4a903199 · outbound

This paper cites an unresolved cited work.

Statistical Design of Thermal Protection System Using Physics-Informed Neural Network Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-10T00:50:58.448009Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T00:50:57.136985Z digest=sha256:77ba4f000755322b4c0e0258e208ee640dda3ccb53d82d8ce3036d7120dd37af

Pith citing papers

No inbound Pith citation observations are available.