Paper Citation Record · LEDGER

On the (Non) Injectivity of Piecewise Linear Janossy Pooling

As of 17 August 2026, this Paper Citation Record lists 31 of 31 outbound references and 0 inbound Pith citation observations for arXiv:2505.20150.

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

pith.paper-citation-record.v1
2505.20150 v1

Coverage vector

measured 31 of 31 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:11:35.900165Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+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

31 of 31 outbound references displayed

verified exact2
verified fuzzy24
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation ba4e0927-6de5-4164-b7e4-257b752ce074 · outbound

This paper cites Fourier sliced-wasserstein embedding for multisets and measures.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Fourier sliced-wasserstein embedding for multisets and measures

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:40.295124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7e5c5e26-3770-4fa8-8f91-d546c5482d7e · outbound

This paper cites Neural injective functions for multisets, measures and graphs via a finite witness theorem.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Neural injective functions for multisets, measures and graphs via a finite witness theorem

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:40.141968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d074c09b-d331-49a4-a7a9-d2475f2757d6 · outbound

This paper cites G-invariant representations using coorbits: Bi- L ipschitz properties, 2023.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling G-invariant representations using coorbits: Bi- L ipschitz properties, 2023

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:39.916724Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f3c956c2-2183-4055-a4f5-88457629258e · outbound

This paper cites Permutation Invariant Representations with Applications to Graph Deep Learning.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Permutation Invariant Representations with Applications to Graph Deep Learning

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T14:11:34.233374Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56af3817-75b8-416f-af30-04cafc212e83 · outbound

This paper cites Convex Optimization.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Convex Optimization

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:39.681773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation ed45297b-cc2d-41e1-9281-214fb217fed2 · outbound

This paper cites On dimensionality of feature vectors in MPNN s.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling On dimensionality of feature vectors in MPNN s

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:39.443249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1bd7a016-e22a-444c-8ae5-7c85787dd4ef · outbound

This paper cites Brenner and L.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Brenner and L

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T14:11:34.398272Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7591178-67bc-4da2-b0ae-f694769ef9a5 · outbound

This paper cites Group-invariant max filtering.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Group-invariant max filtering

Reference 8

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:11:36.356458Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 5af6348b-9444-4e6e-a320-4d5c1ad00306 · outbound

This paper cites Iverson, and Dustin G.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Iverson, and Dustin G

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:39.156747Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3390153c-c924-4d09-bba1-c605f37220fc · outbound

This paper cites On the h\"older stability of multiset and graph neural networks.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling On the h\"older stability of multiset and graph neural networks

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:38.893096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 05e941b5-134e-46b8-8cd9-b43c02364e73 · outbound

This paper cites Low-dimensional invariant embeddings for universal geometric learning.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Low-dimensional invariant embeddings for universal geometric learning

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T14:11:34.581091Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4ae73a40-b114-4be5-b2b8-1a2bed4ec374 · outbound

This paper cites Goodman and J \'a nos Pach.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Goodman and J \'a nos Pach

Reference 12

Resolution: verified exact; doi, observed 2026-08-07T14:11:36.114307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation beeaec83-0815-4f19-862b-34788d209c9e · outbound

This paper cites Weisfeiler leman for euclidean equivariant machine learning.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Weisfeiler leman for euclidean equivariant machine learning

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:38.642404Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7daa7e18-d83c-4196-a314-369507d74d85 · outbound

This paper cites Complete neural networks for complete euclidean graphs.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Complete neural networks for complete euclidean graphs

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:38.425755Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 3c3288e8-6e1c-4c02-9669-da56a33b4e8f · outbound

This paper cites Set transformer: A framework for attention-based permutation-invariant neural networks.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Set transformer: A framework for attention-based permutation-invariant neural networks

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:38.196620Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7ae5b823-49c6-4407-849b-0c9920a8e917 · outbound

This paper cites Provably powerful graph networks.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Provably powerful graph networks

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:38.005797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation f057b3fb-8616-4cc2-af94-328a9a63a953 · outbound

This paper cites Weisfeiler and leman go neural: Higher-order graph neural networks.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Weisfeiler and leman go neural: Higher-order graph neural networks

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:37.878786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 068b51e9-a1e7-4b38-a4f2-a919081c860d · outbound

This paper cites Murphy, Balasubramaniam Srinivasan, Vinayak Rao, and Bruno Ribeiro.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Murphy, Balasubramaniam Srinivasan, Vinayak Rao, and Bruno Ribeiro

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:37.692374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a3db14f2-992c-4ac3-941f-008915228eb3 · outbound

This paper cites Quantum chemistry structures and properties of 134 kilo molecules.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Quantum chemistry structures and properties of 134 kilo molecules

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:37.593541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4a01e4db-8259-4f3d-8cc5-9129629956bb · outbound

This paper cites Tyrrell Rockafellar.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Tyrrell Rockafellar

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:37.485174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 39b7dcce-a61a-4da2-a522-3a621028e2e2 · outbound

This paper cites Blum, and Jean-Louis Reymond.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Blum, and Jean-Louis Reymond

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-07T14:11:35.208121Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f448fbfa-7761-4eaa-8ab5-c7d3b1f8990a · outbound

This paper cites Barrett, Mateusz Malinowski, Razvan Pascanu, Peter Battaglia, and Timothy Lillicrap.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Barrett, Mateusz Malinowski, Razvan Pascanu, Peter Battaglia, and Timothy Lillicrap

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:37.274338Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b538a63d-20de-4bfc-a9cd-abc72b313e48 · outbound

This paper cites On the expressive power of sparse geometric MPNN s.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling On the expressive power of sparse geometric MPNN s

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:37.185957Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation b1a408a6-97ad-4ccf-bbe3-1f36496164a8 · outbound

This paper cites FSW-GNN : A bi- L ipschitz WL -equivalent graph neural network, 2024.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling FSW-GNN : A bi- L ipschitz WL -equivalent graph neural network, 2024

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T14:11:35.384970Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0fb54e9c-87a5-47ec-bad1-edc7d9a3518c · outbound

This paper cites Universal representation of permutation-invariant functions on vectors and tensors.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Universal representation of permutation-invariant functions on vectors and tensors

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:37.103950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7da3d029-6022-4749-91e9-bd3234bccc3a · outbound

This paper cites Universal approximation of functions on sets.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Universal approximation of functions on sets

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:36.957292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6c7ec0fa-ae86-4b89-9397-dfdedaf423d8 · outbound

This paper cites Polynomial width is sufficient for set representation with high-dimensional features.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Polynomial width is sufficient for set representation with high-dimensional features

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:36.865476Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation d5cd87a0-41d3-4621-9f33-7fba758cfa34 · outbound

This paper cites How powerful are graph neural networks? In International Conference on Learning Representations, 2018.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling How powerful are graph neural networks? In International Conference on Learning Representations, 2018

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:36.784906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 1bb07c85-4994-49c0-84f1-7cbd84d683f6 · outbound

This paper cites Deep sets.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Deep sets

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:36.635054Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 7e18b2fe-ff51-441a-8de7-ef1aa1e27bdd · outbound

This paper cites On the expressive power of spectral invariant graph neural networks.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling On the expressive power of spectral invariant graph neural networks

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:36.551678Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 91e80b1c-e7b5-4faf-8116-dea0c86ceb3f · outbound

This paper cites Exponential separations in symmetric neural networks.

On the (Non) Injectivity of Piecewise Linear Janossy Pooling Exponential separations in symmetric neural networks

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T14:11:36.433640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Pith citing papers

No inbound Pith citation observations are available.