Paper Citation Record · LEDGER

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry

As of 23 July 2026, this Paper Citation Record lists 41 of 41 outbound references and 0 inbound Pith citation observations for arXiv:2603.01168.

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

pith.paper-citation-record.v1
2603.01168 v2

Coverage vector

measured 41 of 41 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-15T17:53:24.803856Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-07-23T06:31:01.910684+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

41 of 41 outbound references displayed

verified exact8
verified fuzzy33
unresolved0
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d64f3712-7fe3-4703-affd-b8adeaa9df5c · outbound

This paper cites Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes.Nature communications, 14(1):1605.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Higher-order interactions shape collective dynamics differently in hypergraphs and simplicial complexes.Nature communications, 14(1):1605

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.819938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation e654a1c1-6412-4af4-933b-c7b7f9b2411b · outbound

This paper cites Higher-order Interaction Matters: Dynamic Hypergraph Neural Networks for Epidemic Modeling.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Higher-order Interaction Matters: Dynamic Hypergraph Neural Networks for Epidemic Modeling

Reference 2

Resolution: verified exact; arxiv_id, observed 2026-05-15T17:56:25.108874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 07b8a18d-7a34-44f8-8e3e-75a80dd01d9a · outbound

This paper cites A survey on hypergraph neural networks: An in-depth and step-by-step guide.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry A survey on hypergraph neural networks: An in-depth and step-by-step guide

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.815131Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 6cd661c2-c854-4d64-a9a2-95bdc57d1644 · outbound

This paper cites Clustering on the unit hypersphere using von mises-fisher distributions.Journal of Machine Learning Research, 6(9).

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Clustering on the unit hypersphere using von mises-fisher distributions.Journal of Machine Learning Research, 6(9)

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.727444Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation ea7e7855-0789-466b-a5d6-07926f80a2a2 · outbound

This paper cites Spherical Message Passing for 3D Graph Networks.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Spherical Message Passing for 3D Graph Networks

Reference 5

Resolution: verified exact; arxiv_id, observed 2026-05-15T17:56:25.102120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation b4964783-4461-4f37-a3b7-123efbfd09f8 · outbound

This paper cites Spherical message passing for 3d molecular graphs.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Spherical message passing for 3d molecular graphs

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.824633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 0c7088b6-d965-4312-80a5-4dde44d6bf8d · outbound

This paper cites Estimating epistemic and aleatoric uncertainty with a single model.Advances in Neural Information Processing Systems, 37:109845–109870.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Estimating epistemic and aleatoric uncertainty with a single model.Advances in Neural Information Processing Systems, 37:109845–109870

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.829209Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 67833541-c11c-4a4b-93af-481ba2c5f8b5 · outbound

This paper cites an unresolved cited work.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Unresolved cited work

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.833372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 1119888c-3ac3-4db6-801c-15c2b623b55a · outbound

This paper cites Introducing an Improved Information-Theoretic Measure of Predictive Uncertainty.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Introducing an Improved Information-Theoretic Measure of Predictive Uncertainty

Reference 9

Resolution: verified exact; arxiv_id, observed 2026-05-15T17:56:25.147548Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 5bc96f04-ff69-4a58-94ee-b8b50e3a5aa4 · outbound

This paper cites Learning conditional granger causal temporal networks.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Learning conditional granger causal temporal networks

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.801184Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation ef54f9c1-bf3e-490f-946a-f45c52206653 · outbound

This paper cites Causal inference under networked interference and intervention policy enhancement.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Causal inference under networked interference and intervention policy enhancement

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.851239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 2c446ef0-2dd5-4dc1-8f76-668595182255 · outbound

This paper cites Causal Inference under Network Interference Using a Mixture of Randomized Experiments.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Causal Inference under Network Interference Using a Mixture of Randomized Experiments

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-15T17:56:25.114944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 56cdf23a-da46-4b85-befc-130beca031ee · outbound

This paper cites Deep clustering analysis via dual variational autoencoder with spherical latent embeddings.IEEE Transactions on Neural Networks and Learning Systems, 34(9):6303–6312.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Deep clustering analysis via dual variational autoencoder with spherical latent embeddings.IEEE Transactions on Neural Networks and Learning Systems, 34(9):6303–6312

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.796831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation adfd309e-1cf0-43e1-930d-2f7ea3c92266 · outbound

This paper cites Ma-dpr: Manifold-aware distance metrics for dense passage retrieval.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Ma-dpr: Manifold-aware distance metrics for dense passage retrieval

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.805754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation b19617e2-a2ab-44f1-9001-c6ffbc77cb53 · outbound

This paper cites Enhancing diversity in bayesian deep learning via hyperspherical energy minimization of cka.Advances in Neural Information Processing Systems, 37:138365–138392.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Enhancing diversity in bayesian deep learning via hyperspherical energy minimization of cka.Advances in Neural Information Processing Systems, 37:138365–138392

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.855869Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 0a79a309-ab4d-4a3f-8d0f-03c732389ec2 · outbound

This paper cites A survey on epistemic (model) uncertainty in supervised learning: Recent advances and applications.Neurocomputing, 489:449–465.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry A survey on epistemic (model) uncertainty in supervised learning: Recent advances and applications.Neurocomputing, 489:449–465

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.846618Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation bb70d957-5372-484f-92d1-d795ac4955ae · outbound

This paper cites Calibrated and sharp uncertainties in deep learning via density estimation.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Calibrated and sharp uncertainties in deep learning via density estimation

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.786655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation cf330c50-88fd-4f52-94fc-b32dd384eb38 · outbound

This paper cites an unresolved cited work.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Unresolved cited work

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.837466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation c71f20d9-d3d1-445d-ab43-e6ad09f43228 · outbound

This paper cites Ua-fusion: Uncertainty-aware multimodal data fusion framework for 3d object detection of autonomous vehicles.IEEE Transactions on Instrumentation and Measurement.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Ua-fusion: Uncertainty-aware multimodal data fusion framework for 3d object detection of autonomous vehicles.IEEE Transactions on Instrumentation and Measurement

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.841957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 72ed154d-bd95-4f0a-b6e4-2c2839dbbda2 · outbound

This paper cites vmf-contact: Uncertainty-aware evidential learning for probabilistic contact-grasp in noisy clutter.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry vmf-contact: Uncertainty-aware evidential learning for probabilistic contact-grasp in noisy clutter

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.782068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation b5a73a31-5c31-4548-8aa2-ff5267fbbb8f · outbound

This paper cites Hypergraph and uncertain hypergraph representation learning theory and methods.Mathematics, 10(11):1921.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Hypergraph and uncertain hypergraph representation learning theory and methods.Mathematics, 10(11):1921

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.792074Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation db5267e0-a51e-46b5-8ac5-a4c07c7be15e · outbound

This paper cites Hyperdne: Enhanced hypergraph neural network for dynamic network embedding.Neurocomputing, 527:155–166.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Hyperdne: Enhanced hypergraph neural network for dynamic network embedding.Neurocomputing, 527:155–166

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.810586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 4d533ee7-b61b-4bd5-b00f-e00a2a9c7d3a · outbound

This paper cites Using embeddings for causal estimation of peer influence in social networks.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Using embeddings for causal estimation of peer influence in social networks

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.768312Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation f162324c-74e1-40d1-973d-81526762ae89 · outbound

This paper cites From news to returns: A granger-causal hypergraph transformer on the sphere.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry From news to returns: A granger-causal hypergraph transformer on the sphere

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.772856Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 0ed831fb-6ddb-4737-9794-c87ba93b3b5b · outbound

This paper cites Causal Spherical Hypergraph Networks for Modelling Social Uncertainty.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Causal Spherical Hypergraph Networks for Modelling Social Uncertainty

Reference 25

Resolution: verified exact; arxiv_id, observed 2026-05-15T17:56:25.121773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation bf99c620-e848-45a9-8314-ccaa929d3488 · outbound

This paper cites Geodesic Causal Inference.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Geodesic Causal Inference

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-07-01T02:17:14.992440Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 96037934-c7cc-4f8f-9d55-73233065806f · outbound

This paper cites Robust Multi-Agent Reinforcement Learning with State Uncertainty.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Robust Multi-Agent Reinforcement Learning with State Uncertainty

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-15T17:56:25.128021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 60bb1d42-4977-4700-a32a-e488fe024d55 · outbound

This paper cites A survey of geometric optimization for deep learning: From euclidean space to riemannian manifold.ACM Computing Surveys, 57(5): 1–37.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry A survey of geometric optimization for deep learning: From euclidean space to riemannian manifold.ACM Computing Surveys, 57(5): 1–37

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.759584Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 5799dd94-2057-43fa-896a-bf75e77a9116 · outbound

This paper cites A solution for the mean parametrization of the von Mises-Fisher distribution.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry A solution for the mean parametrization of the von Mises-Fisher distribution

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-05-15T17:56:25.134310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation f23fb9f6-847d-4c19-81a5-3e6381febb04 · outbound

This paper cites Snare: a link analytic system for graph labeling and risk detection.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Snare: a link analytic system for graph labeling and risk detection

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.864649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation a4231f45-aca7-48f3-9b9d-d126d4c823bf · outbound

This paper cites Identifying possible rumor spreaders on twitter: A weak supervised learning approach.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Identifying possible rumor spreaders on twitter: A weak supervised learning approach

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.755066Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 3df48883-5d83-4a3d-98a4-f73036c1fb10 · outbound

This paper cites Amigos: A dataset for affect, personality and mood research on individuals and groups.IEEE transactions on affective computing, 12(2): 479–493.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Amigos: A dataset for affect, personality and mood research on individuals and groups.IEEE transactions on affective computing, 12(2): 479–493

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.763934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation b501af12-be72-4c51-95bb-fe45861c5f2f · outbound

This paper cites Hypergcn: A new method for training graph convolutional networks on hypergraphs.Advances in neural information processing systems, 32.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Hypergcn: A new method for training graph convolutional networks on hypergraphs.Advances in neural information processing systems, 32

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.777645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 0697a38f-b4f6-43b6-bfdc-0ff66c0d2308 · outbound

This paper cites Self-supervised hypergraph representation learning for sociological analysis.IEEE Transactions on Knowledge and Data Engineering, 35(11):11860–11871.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Self-supervised hypergraph representation learning for sociological analysis.IEEE Transactions on Knowledge and Data Engineering, 35(11):11860–11871

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.750358Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 75412cb9-bebf-4d06-b20a-7c4587617941 · outbound

This paper cites Ci-gnn: A granger causality-inspired graph neural network for interpretable brain network-based psychiatric diagnosis.Neural Networks, 172:106147.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Ci-gnn: A granger causality-inspired graph neural network for interpretable brain network-based psychiatric diagnosis.Neural Networks, 172:106147

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.860344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 9371deab-02f2-4d05-9e3a-71ccf51e09f6 · outbound

This paper cites an unresolved cited work.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Unresolved cited work

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.722651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation d169db7d-ad28-4183-bd99-fb6fbc5bf45f · outbound

This paper cites an unresolved cited work.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Unresolved cited work

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.741455Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 7921e7a6-7424-4157-8531-1ee279966a19 · outbound

This paper cites Proof.We prove the three items in order.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Proof.We prove the three items in order

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.745610Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 2b097aa6-894f-4775-bfde-99877e3cc579 · outbound

This paper cites an unresolved cited work.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Unresolved cited work

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.731652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation d4669f82-1698-4076-914c-f8c99f8f5ac1 · outbound

This paper cites Figure 4: Reliability diagram for AMIGOS: predicted confidence versus observed accuracy.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Figure 4: Reliability diagram for AMIGOS: predicted confidence versus observed accuracy

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.718035Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Observation 70b4c96c-8741-45a9-9fe4-aa9da3a0da67 · outbound

This paper cites an unresolved cited work.

SphUnc: Hyperspherical Uncertainty Decomposition and Causal Identification via Information Geometry Unresolved cited work

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-05-15T17:56:25.736934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-23T06:31:01.910684+00:00.

Pith citing papers

No inbound Pith citation observations are available.