Paper Citation Record · LEDGER

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction

As of 6 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 1 inbound Pith citation observation for arXiv:2605.21483.

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

pith.paper-citation-record.v1
2605.21483 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-21T02:53:29.870619Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-31T23:49:32.801116Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

26 of 26 outbound references displayed

verified exact8
verified fuzzy5
unresolved3
parse uncertain0
malformed identifier0
metadata mismatch10

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 588ea458-7326-485b-8644-acc64bb9e7a4 · outbound

This paper cites DESI DR2 Results II: Measurements of Baryon Acoustic Oscillations and Cosmological Constraints.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction DESI DR2 Results II: Measurements of Baryon Acoustic Oscillations and Cosmological Constraints

Reference 1

Resolution: verified exact; local_arxiv, observed 2026-05-21T02:53:55.243649Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 227b5d9f-e68b-4280-adaa-5093398ec4ca · outbound

This paper cites DESI 2024 VII: Cosmological Constraints from the Full-Shape Modeling of Clustering Measurements.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction DESI 2024 VII: Cosmological Constraints from the Full-Shape Modeling of Clustering Measurements

Reference 2

Resolution: metadata mismatch; local_arxiv, observed 2026-05-21T02:53:55.246145Z

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Observation 481e1258-d914-4ee7-bac0-fd44704e719c · outbound

This paper cites Geometric Algebra Transformer.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction Geometric Algebra Transformer

Reference 3

Resolution: metadata mismatch; arxiv_id, observed 2026-05-21T02:53:55.240559Z

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Observation 690a5ceb-c950-4c6c-a074-dd5dc6654e36 · outbound

This paper cites Modelling baryonic feedback for survey cosmology.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction Modelling baryonic feedback for survey cosmology

Reference 4

Resolution: metadata mismatch; local_arxiv, observed 2026-05-21T02:53:55.252187Z

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Observation 5989c097-989f-4923-85a9-08ef95a25b90 · outbound

This paper cites Group Equivariant Convolutional Networks.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction Group Equivariant Convolutional Networks

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-05-21T02:53:55.236600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 7acf667b-053e-42db-a2de-e039efe9cd49 · outbound

This paper cites The Baryon Oscillation Spectroscopic Survey of SDSS-III.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction The Baryon Oscillation Spectroscopic Survey of SDSS-III

Reference 6

Resolution: metadata mismatch; local_arxiv, observed 2026-05-21T02:53:55.249513Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 6e48ebd0-dd2d-4481-aafe-64c5fd02cdfa · outbound

This paper cites The AEMULUS Project. I. Numerical Simulations for Precision Cosmol- ogy.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction The AEMULUS Project. I. Numerical Simulations for Precision Cosmol- ogy

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T02:53:55.394247Z

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Observation 61d880b7-3710-4929-8531-e76008ed5f3e · outbound

This paper cites The Aemulus Project I: Numerical Simulations for Precision Cosmology.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction The Aemulus Project I: Numerical Simulations for Precision Cosmology

Reference 8

Resolution: metadata mismatch; local_arxiv, observed 2026-05-21T02:53:55.234033Z

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Observation 89c555ca-2bd2-4760-b46d-1702d2d99d08 · outbound

This paper cites Data Release 1 of the Dark Energy Spectroscopic Instrument.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction Data Release 1 of the Dark Energy Spectroscopic Instrument

Reference 9

Resolution: metadata mismatch; local_arxiv, observed 2026-05-21T02:53:55.231452Z

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Observation 9cbf5575-3d02-40a0-a76f-532aaa65c1c5 · outbound

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

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction SE(3)-Transformers: 3D Roto-Translation Equivariant Attention Networks

Reference 10

Resolution: verified exact; arxiv_id, observed 2026-05-21T02:53:55.228411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation daa843ce-b195-41d1-8087-d9894e7b0b1f · outbound

This paper cites On the Generalization of Equivariance and Convolution in Neural Networks to the Action of Compact Groups.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction On the Generalization of Equivariance and Convolution in Neural Networks to the Action of Compact Groups

Reference 11

Resolution: metadata mismatch; local_arxiv, observed 2026-05-21T02:53:55.261279Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation d0b32e6a-191d-4161-8a63-9f1f480d4e6d · outbound

This paper cites On the Prediction of Velocity Fields from Redshift Space Galaxy Samples.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction On the Prediction of Velocity Fields from Redshift Space Galaxy Samples

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-05-21T02:53:55.225699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 5264a6a0-d1d0-4cb7-8c84-0890005e5531 · outbound

This paper cites Reducing SO(3) Convolutions to SO(2) for Efficient Equivariant GNNs.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction Reducing SO(3) Convolutions to SO(2) for Efficient Equivariant GNNs

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-05-21T02:53:55.255454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation afd1465c-f5ba-43cd-ae98-22307870aca3 · outbound

This paper cites The Quijote simulations.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction The Quijote simulations

Reference 14

Resolution: metadata mismatch; arxiv_id, observed 2026-05-21T02:53:55.222774Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 0bdb2756-f106-429f-bed8-3e5419627b4c · outbound

This paper cites Peculiar Velocity Reconstruction From Simulations and Observations Using Deep Learning Algorithms.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction Peculiar Velocity Reconstruction From Simulations and Observations Using Deep Learning Algorithms

Reference 15

Resolution: verified exact; arxiv_id, observed 2026-05-21T02:53:55.258188Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 8e2759c8-1ce3-4a7f-b167-c4f8f7571b91 · outbound

This paper cites AI-Powered Reconstruction of Dark Matter Velocity Fields from Redshift-Space Halo Distribution.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction AI-Powered Reconstruction of Dark Matter Velocity Fields from Redshift-Space Halo Distribution

Reference 16

Resolution: verified exact; arxiv_id, observed 2026-05-21T02:53:55.219901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 6e79124d-ddf5-491a-9116-877cf533d2cd · outbound

This paper cites Deep Sets.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction Deep Sets

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T02:53:55.392352Z

Source-reported events for the cited work

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Observation daf84271-7a55-4218-8503-ff4efb3e807a · outbound

This paper cites Deep Sets.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction Deep Sets

Reference 18

Resolution: metadata mismatch; local_arxiv, observed 2026-05-21T02:53:55.216874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation a564798c-dc44-4f2b-8fe4-a81e9b456c41 · outbound

This paper cites Wiener Reconstruction of The Large Scale Structure.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction Wiener Reconstruction of The Large Scale Structure

Reference 19

Resolution: metadata mismatch; local_arxiv, observed 2026-05-21T02:53:55.263551Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation f9fc2116-a5fd-445b-9b00-dd94c411a91f · outbound

This paper cites an unresolved cited work.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-05-21T02:53:55.390530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation b23c9e7c-d9ef-4428-858c-d84c5ba660ed · outbound

This paper cites an unresolved cited work.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction Unresolved cited work

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-21T02:53:55.214509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 88b1e271-7ae1-45ea-aee8-2b22c8eb5b34 · outbound

This paper cites an unresolved cited work.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-05-21T02:53:55.388907Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation d50f398e-f44b-42b9-83ee-140c25e4bf77 · outbound

This paper cites D.3 GNN baseline The GNN baseline uses the implementation from Huang et al.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction D.3 GNN baseline The GNN baseline uses the implementation from Huang et al

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T02:53:55.387261Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation 9825eb0d-1830-4b81-ade7-6c474e21dbbb · outbound

This paper cites an unresolved cited work.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-05-21T02:53:55.385563Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation fae6e158-67fd-457c-9ce3-08a6ed479e5e · outbound

This paper cites Results are reported in the main text; this appendix describes the implementation.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction Results are reported in the main text; this appendix describes the implementation

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T02:53:55.383801Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Observation bc93d46d-e642-4756-9e78-ceb5d709750b · outbound

This paper cites VELOCITYFORMERcan thus generalise across our uncertainty on the true cosmological parameters of the Universe.

Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction VELOCITYFORMERcan thus generalise across our uncertainty on the true cosmological parameters of the Universe

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-21T02:53:55.381883Z

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No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

Pith citing papers

Observation 22522733-48b4-4f82-954b-53d546e2e863 · inbound

Interpreting the stacked kinetic SZ effect I: velocity reconstruction and non-linear velocity effects cites this paper.

Interpreting the stacked kinetic SZ effect I: velocity reconstruction and non-linear velocity effects Velocityformer: Broken-Symmetry-Matched Equivariant Graph Transformers for Cosmological Velocity Reconstruction

Reference 174

Resolution: unresolved; no resolver link, observed 2026-07-31T23:49:32.801116Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.