Paper Citation Record · LEDGER

Learning Broken Symmetries with Approximate Invariance

As of 11 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 1 inbound Pith citation observation for arXiv:2412.18773.

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

pith.paper-citation-record.v1
2412.18773 v2

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T04:33:45.124965Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T02:35:29.440214Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

35 of 35 outbound references displayed

verified exact2
verified fuzzy13
unresolved19
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8198e35c-18b4-458a-afb9-a3f516236404 · outbound

This paper cites Baldi, P.

Learning Broken Symmetries with Approximate Invariance Baldi, P

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:33:45.831076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c337ab43-26e8-46e8-a19f-ff9197130957 · outbound

This paper cites de Oliveira, M.

Learning Broken Symmetries with Approximate Invariance de Oliveira, M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:33:45.817082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2cbe19cf-f9a0-4fa2-8a40-4b8d24b5c569 · outbound

This paper cites A Living Review of Machine Learning for Particle Physics.

Learning Broken Symmetries with Approximate Invariance A Living Review of Machine Learning for Particle Physics

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-11T04:33:44.975721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6fdc67a-b1fd-4ccd-9e0d-b93d5801459a · outbound

This paper cites Alzubaidi, J.

Learning Broken Symmetries with Approximate Invariance Alzubaidi, J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:33:45.804586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 88c0972d-73bb-43f0-a7d8-162e9d53009f · outbound

This paper cites Cohen and M.

Learning Broken Symmetries with Approximate Invariance Cohen and M

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:33:45.792018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d5f3d685-7781-45e1-aa25-2503d3674dff · outbound

This paper cites Agrawal, J.

Learning Broken Symmetries with Approximate Invariance Agrawal, J

Reference 6

Resolution: malformed identifier; no resolver link, observed 2026-08-11T04:33:44.990766Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 369301e3-3931-4c91-9092-b1d98a6eb8fe · outbound

This paper cites Gens and P.

Learning Broken Symmetries with Approximate Invariance Gens and P

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:33:45.778324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6fb1ebfb-ec63-4507-aa78-89d7b49da754 · outbound

This paper cites PELICAN: Permutation Equivariant and Lorentz Invariant or Covariant Aggregator Network for Particle Physics.

Learning Broken Symmetries with Approximate Invariance PELICAN: Permutation Equivariant and Lorentz Invariant or Covariant Aggregator Network for Particle Physics

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-11T04:33:45.000290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a9c2894e-13cc-4e92-92ee-210a31037388 · outbound

This paper cites Rethinking SO(3)-equivariance with Bilinear Tensor Networks.

Learning Broken Symmetries with Approximate Invariance Rethinking SO(3)-equivariance with Bilinear Tensor Networks

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-11T04:33:45.538263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 517983a1-358b-451b-bdce-ded4989582d9 · outbound

This paper cites Particle Convolution for High Energy Physics.

Learning Broken Symmetries with Approximate Invariance Particle Convolution for High Energy Physics

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-11T04:33:45.010405Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 87c2ba9d-edd2-4fc0-a8ee-117fb14f406a · outbound

This paper cites Bogatskiy et al., in Snowmass 2021 (2022), arXiv:2203 .06153.

Learning Broken Symmetries with Approximate Invariance Bogatskiy et al., in Snowmass 2021 (2022), arXiv:2203 .06153

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:33:45.764562Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 4c0fb954-5707-4528-b79f-280ddc137ff2 · outbound

This paper cites Equivariant Flows: Exact Likelihood Generative Learning for Symmetric Densities.

Learning Broken Symmetries with Approximate Invariance Equivariant Flows: Exact Likelihood Generative Learning for Symmetric Densities

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T04:33:45.020302Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 617b8911-7408-4ac9-b70d-0c709a118330 · outbound

This paper cites SE(3)-Transformers: 3D Roto-Translation Equivariant Attention Networks.

Learning Broken Symmetries with Approximate Invariance SE(3)-Transformers: 3D Roto-Translation Equivariant Attention Networks

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T04:33:45.025313Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd6febad-ef87-49b4-8799-f7525198d77a · outbound

This paper cites Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point clouds.

Learning Broken Symmetries with Approximate Invariance Tensor field networks: Rotation- and translation-equivariant neural networks for 3D point clouds

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T04:33:45.029933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 181225d1-01e8-4b2a-a9af-811f4a116829 · outbound

This paper cites Generalizing Convolutional Neural Networks for Equivariance to Lie Groups on Arbitrary Continuous Data.

Learning Broken Symmetries with Approximate Invariance Generalizing Convolutional Neural Networks for Equivariance to Lie Groups on Arbitrary Continuous Data

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T04:33:45.034720Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a1334e7e-bc52-446e-a4aa-fdb6a208783b · outbound

This paper cites an unresolved cited work.

Learning Broken Symmetries with Approximate Invariance Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:33:45.750119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 456acec3-1f70-4d72-b896-fbc025f17c50 · outbound

This paper cites Butter, G.

Learning Broken Symmetries with Approximate Invariance Butter, G

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:33:45.734653Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c7f8bc2a-3b04-42b7-90da-682f9fad42b0 · outbound

This paper cites an unresolved cited work.

Learning Broken Symmetries with Approximate Invariance Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:33:45.720528Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation aa328683-a652-405f-b8b8-f6e9cb674e13 · outbound

This paper cites an unresolved cited work.

Learning Broken Symmetries with Approximate Invariance Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:33:45.705721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation aaae69ae-6a6b-490b-9980-792d877d187b · outbound

This paper cites an unresolved cited work.

Learning Broken Symmetries with Approximate Invariance Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T04:33:45.057155Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d189fff6-03dd-4d8d-8923-ee69012476fd · outbound

This paper cites The Effectiveness of Data Augmentation in Image Classification using Deep Learning.

Learning Broken Symmetries with Approximate Invariance The Effectiveness of Data Augmentation in Image Classification using Deep Learning

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T04:33:45.061653Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c70d461-d419-4147-a78c-6b1a5737a282 · outbound

This paper cites An Intriguing Failing of Convolutional Neural Networks and the CoordConv Solution.

Learning Broken Symmetries with Approximate Invariance An Intriguing Failing of Convolutional Neural Networks and the CoordConv Solution

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-11T04:33:45.066463Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4058014b-fc29-489f-a25a-11a29199f2ff · outbound

This paper cites Learning Broken Symmetries with Resimulation and Encouraged Invariance.

Learning Broken Symmetries with Approximate Invariance Learning Broken Symmetries with Resimulation and Encouraged Invariance

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-11T04:33:45.345546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a564d4d2-e5c8-4e77-9434-89ea1f998cad · outbound

This paper cites Alwall, R.

Learning Broken Symmetries with Approximate Invariance Alwall, R

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:33:45.690987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0c13bc92-7916-4598-a7b1-cc5f08b9c620 · outbound

This paper cites Aad et al.

Learning Broken Symmetries with Approximate Invariance Aad et al

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:33:45.675414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bd422594-2581-47dc-91ab-8d21c396594b · outbound

This paper cites An implementation of neural simulation-based inference for parameter estimation in ATLAS.

Learning Broken Symmetries with Approximate Invariance An implementation of neural simulation-based inference for parameter estimation in ATLAS

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-11T04:33:45.084538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 330feb73-c3e4-4851-a88d-d68858e63782 · outbound

This paper cites d ’Ascoli, H.

Learning Broken Symmetries with Approximate Invariance d ’Ascoli, H

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:33:45.659415Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 13e60b6d-5326-4044-8410-548f85a2fe4c · outbound

This paper cites Finzi, G.

Learning Broken Symmetries with Approximate Invariance Finzi, G

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:33:45.643629Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 67627925-6c25-4e3b-99c8-6bc9b1eb3d27 · outbound

This paper cites Bogatskiy, B.

Learning Broken Symmetries with Approximate Invariance Bogatskiy, B

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:33:45.628815Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2e78f79a-39e9-424c-abcb-61a4f69de92f · outbound

This paper cites Brehmer, V.

Learning Broken Symmetries with Approximate Invariance Brehmer, V

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-11T04:33:45.101946Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e5a364a-4f9f-4563-938a-7c6fdf509822 · outbound

This paper cites Murnane, S.

Learning Broken Symmetries with Approximate Invariance Murnane, S

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T04:33:45.612837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 0a26707a-8e71-49bb-aaf6-62152891e0f4 · outbound

This paper cites an unresolved cited work.

Learning Broken Symmetries with Approximate Invariance Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:33:45.598008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 89d9fae1-a850-4461-963d-6c1413610fe4 · outbound

This paper cites Decoupled Weight Decay Regularization.

Learning Broken Symmetries with Approximate Invariance Decoupled Weight Decay Regularization

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-11T04:33:45.115323Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 983b2a2b-92fb-4daa-8c92-4ddd274e61f2 · outbound

This paper cites PyTorch: An Imperative Style, High-Performance Deep Learning Library.

Learning Broken Symmetries with Approximate Invariance PyTorch: An Imperative Style, High-Performance Deep Learning Library

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-11T04:33:45.119964Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2387bb19-8615-4345-a7ee-0d212b2d5a08 · outbound

This paper cites an unresolved cited work.

Learning Broken Symmetries with Approximate Invariance Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-11T04:33:45.583197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

Observation 592ff6e1-ee5c-496d-879e-7dc4cc056429 · inbound

Explicit or Implicit? Encoding Physics at the Precision Frontier cites this paper.

Explicit or Implicit? Encoding Physics at the Precision Frontier Learning Broken Symmetries with Approximate Invariance

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-03T02:35:29.440214Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.