Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-07T17:58:01.916828Z
Paper Citation Record · LEDGER
PINNs in More General Geometry
As of 4 August 2026, this Paper Citation Record lists 27 of 27 outbound references and 2 inbound Pith citation observations for arXiv:2604.25020.
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 2026-08-04T06:34:03.388597+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T15:35:43.820918Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
27 of 27 outbound references displayed
- verified exact8
- verified fuzzy16
- unresolved1
- parse uncertain0
- malformed identifier0
- metadata mismatch2
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation be9b2176-451d-4b56-b849-91d0963fff17 · outbound
This paper cites an unresolved cited work.
PINNs in More General Geometry Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-05-27T00:33:19.619738Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation e9ae05d0-bd6c-4b5e-9884-4fdcdfea40d8 · outbound
This paper cites The Weyl and Minkowski problems in differential geometry in the large.
PINNs in More General Geometry The Weyl and Minkowski problems in differential geometry in the large
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T00:33:19.653198Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation b3f8380e-8ad1-4bfb-b47a-9eb8fd3b88ea · outbound
This paper cites Note on embedded surfaces.
PINNs in More General Geometry Note on embedded surfaces
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T00:33:19.649612Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation d20f6102-8636-443a-a8d5-a5255bba1b5f · outbound
This paper cites Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations.
PINNs in More General Geometry Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T00:33:19.656920Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 9c1c0caa-a06f-4e42-ba18-afd7c4604470 · outbound
This paper cites Physics-informed machine learning.
PINNs in More General Geometry Physics-informed machine learning
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T00:33:19.627130Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation ff272bb5-7181-41de-b128-d3b4433f9776 · outbound
This paper cites Automatic differentiation in machine learning: a survey.
PINNs in More General Geometry Automatic differentiation in machine learning: a survey
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T00:33:19.639471Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 2ed2bd8c-9936-41db-824f-c9693626c5a7 · outbound
This paper cites AInstein: Numerical Einstein Metrics via Machine Learning.
PINNs in More General Geometry AInstein: Numerical Einstein Metrics via Machine Learning
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T23:11:18.392344Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 456a6f7e-8f2c-4a6d-8867-bd79f22081c0 · outbound
This paper cites A Machine Learning Approach to the Nirenberg Problem.
PINNs in More General Geometry A Machine Learning Approach to the Nirenberg Problem
Reference 8
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T23:11:18.403857Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation ddfb038a-88e5-4e9e-9342-afe4dc2fb8f8 · outbound
This paper cites Numerical Calabi-Yau metrics from holomorphic networks.
PINNs in More General Geometry Numerical Calabi-Yau metrics from holomorphic networks
Reference 9
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T23:11:18.382793Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 19052a9c-3a1e-478f-ab1a-143f182cee94 · outbound
This paper cites Learning Size and Shape of Calabi-Yau Spaces.
PINNs in More General Geometry Learning Size and Shape of Calabi-Yau Spaces
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T00:33:19.612078Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 118a06c6-143b-4b6f-be68-610b238505c0 · outbound
This paper cites Machine Learned Calabi-Yau Metrics and Curvature.
PINNs in More General Geometry Machine Learned Calabi-Yau Metrics and Curvature
Reference 11
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-11T23:11:18.357837Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 1edb1223-3efa-47be-80f8-383c06d5dd08 · outbound
This paper cites Harmonic $1$-forms on real loci of Calabi-Yau manifolds.
PINNs in More General Geometry Harmonic $1$-forms on real loci of Calabi-Yau manifolds
Reference 12
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T23:11:18.347177Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 05c291be-9284-45f1-8fa3-7517859edbe0 · outbound
This paper cites Heyes, E.
PINNs in More General Geometry Heyes, E
Reference 13
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-11T23:11:18.336190Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 5f573482-f459-4d9f-8ca8-c3fdcafe7e27 · outbound
This paper cites Approximating high-dimensional minimal surfaces with physics-informed neural networks.
PINNs in More General Geometry Approximating high-dimensional minimal surfaces with physics-informed neural networks
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T00:33:19.634711Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation f0610c71-9853-496a-9a09-c52bc0e82cef · outbound
This paper cites Physics-informed neural network solves minimal surfaces in curved spacetime.
PINNs in More General Geometry Physics-informed neural network solves minimal surfaces in curved spacetime
Reference 15
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T23:11:18.368060Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 86bb92a3-ffad-4e47-bfa9-d347f3cd6836 · outbound
This paper cites Computer-assisted proofs in pde: A survey.
PINNs in More General Geometry Computer-assisted proofs in pde: A survey
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T00:33:19.630716Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation d4b68571-e589-4e15-b34d-537255c1ea64 · outbound
This paper cites Asymptotic self-similar blow-up profile for three-dimensional axisymmetric Euler equations using neural networks.
PINNs in More General Geometry Asymptotic self-similar blow-up profile for three-dimensional axisymmetric Euler equations using neural networks
Reference 17
- Resolution
- verified exact
- doi, observed 2026-05-09T01:29:33.743717Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 7a953d02-e0ad-4b9c-8947-15f1e00e4f6a · outbound
This paper cites Non-uniqueness and symmetries for the nirenberg problem using computer assistance.
PINNs in More General Geometry Non-uniqueness and symmetries for the nirenberg problem using computer assistance
Reference 18
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T23:11:18.319352Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 740ac5d0-438d-4c35-b9fa-d257450c94a6 · outbound
This paper cites Minimising Willmore Energy via Neural Flow.
PINNs in More General Geometry Minimising Willmore Energy via Neural Flow
Reference 19
- Resolution
- verified exact
- local_arxiv, observed 2026-05-11T23:11:18.412968Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation d9d6b07a-25fe-4b50-8bca-65a5f89c59ae · outbound
This paper cites Approximation by superpositions of a sigmoidal function.
PINNs in More General Geometry Approximation by superpositions of a sigmoidal function
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T00:33:19.615897Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 9b826d0e-6f07-45ef-a257-7b503d341499 · outbound
This paper cites Approximation capabilities of multilayer feedforward networks.
PINNs in More General Geometry Approximation capabilities of multilayer feedforward networks
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T00:33:19.604752Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 9684a7a1-52d6-4d06-a4dc-f278dc9bc992 · outbound
This paper cites Curvature functions for compact 2-manifolds.
PINNs in More General Geometry Curvature functions for compact 2-manifolds
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T00:33:19.646337Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 0ed1f001-3c22-46dd-a5ff-39a87943411b · outbound
This paper cites Scalar curvature and conformal deformation of Riemannian structure.
PINNs in More General Geometry Scalar curvature and conformal deformation of Riemannian structure
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T00:33:19.608214Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 12063545-b83a-42fa-8a48-9f1f543c8024 · outbound
This paper cites Prescribing Gaussian curvature on S2.
PINNs in More General Geometry Prescribing Gaussian curvature on S2
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T00:33:19.642662Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 6775fc49-a266-41b9-b7c2-219d67c553ef · outbound
This paper cites Min-max theory and the willmore conjecture.
PINNs in More General Geometry Min-max theory and the willmore conjecture
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T00:33:19.623384Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 6d395d60-926e-4994-bfc3-97c03b91484c · outbound
This paper cites Comparison surfaces for the Willmore problem.
PINNs in More General Geometry Comparison surfaces for the Willmore problem
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T00:33:19.660833Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 510a3f3f-6028-4157-9ac7-d2361fcba6cc · outbound
This paper cites Complete minimal surfaces inS3.
PINNs in More General Geometry Complete minimal surfaces inS3
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-27T00:33:19.664758Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Pith citing papers
Observation d9823d99-8151-4ede-954b-22a3da594687 · inbound
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks cites this paper.
Black Hole Black Boxes: Numerical Black Hole Metrics via AInstein Neural Networks PINNs in More General Geometry
Reference 51
- Resolution
- unresolved
- no resolver link, observed 2026-07-11T06:56:17.499687Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation df9925cb-6efb-4e09-aff9-6730c757eafb · inbound
Warped Numerical Calabi-Yau Metrics cites this paper.
Warped Numerical Calabi-Yau Metrics PINNs in More General Geometry
Reference 27
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T15:35:43.820918Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.