Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T22:47:10.801049Z
Paper Citation Record · LEDGER
Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution Bundles
As of 22 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 1 inbound Pith citation observation for arXiv:2505.06459.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-26T11:55:25.831089Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-04T08:19:44.119336Z
Reference resolution
12 of 12 outbound references displayed
- verified exact0
- verified fuzzy2
- unresolved8
- parse uncertain0
- malformed identifier2
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ace0f0fb-1c4b-40b6-824d-8311d22e38d9 · outbound
This paper cites Zhang Cong, Zhang Han, Yuan Shuo, Liu Siqi, Zhang Tong-Jie, and Sun Yan-Chun.
Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution Bundles Zhang Cong, Zhang Han, Yuan Shuo, Liu Siqi, Zhang Tong-Jie, and Sun Yan-Chun
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:47:11.156609Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation e7b67a4d-9e77-4694-923c-d4ba0a40769a · outbound
This paper cites Respecting causality is all you need for training physics-informed neural networks.
Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution Bundles Respecting causality is all you need for training physics-informed neural networks
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:47:10.795128Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 3d52cc9d-b1d9-471a-a577-5624c649316e · outbound
This paper cites an unresolved cited work.
Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution Bundles Unresolved cited work
Reference 12
- Resolution
- malformed identifier
- raw_fallback, observed 2026-08-15T22:47:10.925864Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 5a140b66-211c-4e9e-93b5-3830546245a4 · outbound
This paper cites Majid Rasht-Behesht, Christian Huber, Khemraj Shukla, and George Em Karniadakis.
Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution Bundles Majid Rasht-Behesht, Christian Huber, Khemraj Shukla, and George Em Karniadakis
Reference 45
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T22:47:11.139596Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.
Observation 295249db-1e81-4718-86c3-3e008341a189 · outbound
This paper cites URL https://link.aps.org/doi/10.1103/ PhysRevD.76.064004.
Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution Bundles URL https://link.aps.org/doi/10.1103/ PhysRevD.76.064004
Reference 2007
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:47:10.765149Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 672e9942-dc3d-49a4-a475-5ff2bf5c26cd · outbound
This paper cites Measurements of $H_0$ in modified gravity theories: The role of lensed quasars in the late-time Universe.
Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution Bundles Measurements of $H_0$ in modified gravity theories: The role of lensed quasars in the late-time Universe
Reference 2014
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-15T22:47:10.753089Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 28663f09-398e-4d4f-8b0f-f9f463ef810f · outbound
This paper cites doi: 10.1016/j.jcp.2018.10.
Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution Bundles doi: 10.1016/j.jcp.2018.10
Reference 2019
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:47:10.784083Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9da3f745-24e4-4c64-97f6-5cc7ede1c3c4 · outbound
This paper cites PyTorch: An Imperative Style, High-Performance Deep Learning Library.
Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution Bundles PyTorch: An Imperative Style, High-Performance Deep Learning Library
Reference 2021
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:47:10.778447Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 9d3b0f6f-3700-4813-85d3-35bff1bfa9c1 · outbound
This paper cites Evaluating Error Bound for Physics-Informed Neural Networks on Linear Dynamical Systems.
Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution Bundles Evaluating Error Bound for Physics-Informed Neural Networks on Linear Dynamical Systems
Reference 2022
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:47:10.772297Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 37101b93-1f79-4470-ae3e-18e1f0911757 · outbound
This paper cites The landscape, the swampland and the era of precision cosmology.
Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution Bundles The landscape, the swampland and the era of precision cosmology
Reference 3978
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:47:10.734559Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d31f492c-ebf9-4c65-8507-3566d5913a72 · outbound
This paper cites Pyro: Deep Universal Probabilistic Programming.
Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution Bundles Pyro: Deep Universal Probabilistic Programming
Reference 4438
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:47:10.741413Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 55e18c4f-bbb5-4260-af6b-e4a20b41a97e · outbound
This paper cites Error estimates for physics informed neural networks approximating the Navier-Stokes equations.
Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution Bundles Error estimates for physics informed neural networks approximating the Navier-Stokes equations
Reference 9044
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T22:47:10.759531Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 37e6c46b-4de2-4be4-b5a7-136708bcedbb · inbound
Beyond Data-Driven: How Physics-Informed Neural Networks are Reshaping Multi-Physics Design and Discovery cites this paper.
Beyond Data-Driven: How Physics-Informed Neural Networks are Reshaping Multi-Physics Design and Discovery Improved Uncertainty Quantification in Physics-Informed Neural Networks Using Error Bounds and Solution Bundles
Reference 144
- Resolution
- verified exact
- arxiv_id, observed 2026-07-04T08:19:44.120907Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.