Paper Citation Record · LEDGER

Relation-Aware Slicing in Cross-Domain Alignment

As of 8 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2507.13194.

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

pith.paper-citation-record.v1
2507.13194 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:38:15.461221Z

measured 35 of 35 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

35 of 35 outbound references displayed

verified exact2
verified fuzzy17
unresolved14
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 90fef768-5d63-45a3-a130-c5b9968b63ee · outbound

This paper cites Near-linear time approximation algorithms for optimal transport via Sinkhorn iteration.

Relation-Aware Slicing in Cross-Domain Alignment Near-linear time approximation algorithms for optimal transport via Sinkhorn iteration

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:38:20.073788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8fbc7e29-9020-4acf-9de5-1521e86471b4 · outbound

This paper cites It is also possible to use this experiment in 2D by setting the Z-axis coordinate to 0 for each cluster center, resulting in clusters lying in the XY-plane.

Relation-Aware Slicing in Cross-Domain Alignment It is also possible to use this experiment in 2D by setting the Z-axis coordinate to 0 for each cluster center, resulting in clusters lying in the XY-plane

Reference 2

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T16:38:16.625204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ba802975-7947-4482-92a9-eae3c14cc620 · outbound

This paper cites For example, given samples θ11,ϕ,.

Relation-Aware Slicing in Cross-Domain Alignment For example, given samples θ11,ϕ,

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:38:16.872255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 59e84af1-e159-48c9-b4f8-67d4bd234593 · outbound

This paper cites The radon transform on r n.

Relation-Aware Slicing in Cross-Domain Alignment The radon transform on r n

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:38:19.607998Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 10dfb101-056a-454d-a00a-2c9bcd00ba94 · outbound

This paper cites Directional Statistics in Machine Learning: a Brief Review.

Relation-Aware Slicing in Cross-Domain Alignment Directional Statistics in Machine Learning: a Brief Review

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:38:16.087003Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7672c04e-18d9-49e0-91ba-c939bb27b57e · outbound

This paper cites Sliced Gromov-Wasserstein.

Relation-Aware Slicing in Cross-Domain Alignment Sliced Gromov-Wasserstein

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-06T16:38:15.827216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 5277aad9-6794-4ff5-9b92-820171db87c4 · outbound

This paper cites We then discuss some related works in B.

Relation-Aware Slicing in Cross-Domain Alignment We then discuss some related works in B

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:38:19.372164Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4939ca30-8503-4c95-bace-fcfeaa20fcbe · outbound

This paper cites an unresolved cited work.

Relation-Aware Slicing in Cross-Domain Alignment Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:38:19.240273Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ae1bf40d-32a1-4330-b5eb-a2c7d8f1fabe · outbound

This paper cites Since σRA(θ; µ, ν, σk) is continuous due to the continuity of σk, we have GWp(θ♯µ, θ♯ν) = 0 for all θ ∈ Sd−1.

Relation-Aware Slicing in Cross-Domain Alignment Since σRA(θ; µ, ν, σk) is continuous due to the continuity of σk, we have GWp(θ♯µ, θ♯ν) = 0 for all θ ∈ Sd−1

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:38:19.110104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c2d0f9ed-27a3-4554-8ee3-1ff3d66d2b8a · outbound

This paper cites , θL ∈ Sd−1.

Relation-Aware Slicing in Cross-Domain Alignment , θL ∈ Sd−1

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:38:18.951814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 52f9fce5-18ec-4b9a-a0b0-5af301051dfd · outbound

This paper cites an unresolved cited work.

Relation-Aware Slicing in Cross-Domain Alignment Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:38:18.826896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 775f64ab-05e9-42dc-bf9f-7d73e3bd5e81 · outbound

This paper cites Therefore, we have σRA(θ; µ, ν, σκ) → U(Sd−1).

Relation-Aware Slicing in Cross-Domain Alignment Therefore, we have σRA(θ; µ, ν, σκ) → U(Sd−1)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:38:18.671517Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f8fc5548-438f-4277-85bf-0fc4ce21002a · outbound

This paper cites an unresolved cited work.

Relation-Aware Slicing in Cross-Domain Alignment Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:38:18.489237Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 376ba5f0-afe5-4dfd-91ec-6d0d0f39d1fb · outbound

This paper cites sup A∈A |µn(A) − µ(A)| # ≤ vuutE.

Relation-Aware Slicing in Cross-Domain Alignment sup A∈A |µn(A) − µ(A)| # ≤ vuutE

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:38:18.307433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7f6cfe35-e3fa-43fb-908b-78358376c3ec · outbound

This paper cites As a consequence, we obtain the conclusion of the proof.

Relation-Aware Slicing in Cross-Domain Alignment As a consequence, we obtain the conclusion of the proof

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:38:18.162024Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c8ad587a-9f41-4b82-9e81-c3cbd923c7b9 · outbound

This paper cites 1: Sample index i ∼ Categorical(α1, ..., αk) 2: Sample v ∼ U(Sd−2) 3: b ← −2κi+ √ 4κ2 i +(d−1)2 d−1 , a ← (d−1)+2κi+ √ 4κ2 i +(d−1)2 4 , m ← 4ab (1+b) − (d −.

Relation-Aware Slicing in Cross-Domain Alignment 1: Sample index i ∼ Categorical(α1, ..., αk) 2: Sample v ∼ U(Sd−2) 3: b ← −2κi+ √ 4κ2 i +(d−1)2 d−1 , a ← (d−1)+2κi+ √ 4κ2 i +(d−1)2 4 , m ← 4ab (1+b) − (d −

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:38:17.851103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c4d8855f-9b36-4824-9c32-7c416f684ee5 · outbound

This paper cites an unresolved cited work.

Relation-Aware Slicing in Cross-Domain Alignment Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:38:17.728046Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation df436f7d-e4b4-49b8-96e4-5960d82d5069 · outbound

This paper cites lim κ→∞ Z Sd−1 g(x)f (x|ϵ, κ)dx = Z Sd−1 g(x)δϵ(x)dx.

Relation-Aware Slicing in Cross-Domain Alignment lim κ→∞ Z Sd−1 g(x)f (x|ϵ, κ)dx = Z Sd−1 g(x)δϵ(x)dx

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:38:17.573098Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ea6260d0-23fe-4d9f-b9ab-1c91ac47d403 · outbound

This paper cites an unresolved cited work.

Relation-Aware Slicing in Cross-Domain Alignment Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:38:17.451756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c0e47860-484a-4045-917d-2a9d7f8530bf · outbound

This paper cites Here, W2(RIµ(·, θ), RIν(·, θ)) achieves its peak when θ = x0 ∥x0∥2 and measures zero for θ orthogonal to x0.

Relation-Aware Slicing in Cross-Domain Alignment Here, W2(RIµ(·, θ), RIν(·, θ)) achieves its peak when θ = x0 ∥x0∥2 and measures zero for θ orthogonal to x0

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:38:17.280492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation faa8bd27-9382-45c5-a8f3-6c6926ea7725 · outbound

This paper cites an unresolved cited work.

Relation-Aware Slicing in Cross-Domain Alignment Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:38:17.161822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation cb619892-754c-44b6-b308-d17d80325e50 · outbound

This paper cites Now, we aim to generate a 3D distribution for this target 2D distribution.

Relation-Aware Slicing in Cross-Domain Alignment Now, we aim to generate a 3D distribution for this target 2D distribution

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:38:16.486878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b0601f83-e535-4e30-8f2a-70c1b2522350 · outbound

This paper cites FC" and “Conv.

Relation-Aware Slicing in Cross-Domain Alignment FC" and “Conv

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:38:16.364350Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation decf50e7-8647-463d-8211-751b3d014a35 · outbound

This paper cites Peak Signal-to-Noise Ratio.

Relation-Aware Slicing in Cross-Domain Alignment Peak Signal-to-Noise Ratio

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:38:16.247402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 4c46c147-6f99-433c-8b54-31dd606c42e9 · outbound

This paper cites Unrolled Generative Adversarial Networks.

Relation-Aware Slicing in Cross-Domain Alignment Unrolled Generative Adversarial Networks

Reference 2011

Resolution: unresolved; no resolver link, observed 2026-08-06T16:38:12.988126Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fea134dd-3880-4610-8dc1-3bcf2f85f62a · outbound

This paper cites The Power Spherical distribution.

Relation-Aware Slicing in Cross-Domain Alignment The Power Spherical distribution

Reference 2013

Resolution: unresolved; no resolver link, observed 2026-08-06T16:38:12.536644Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2f6d4c0d-61fe-4623-8b14-2925164fd529 · outbound

This paper cites Fast algorithms for computational optimal transport and wasserstein barycenter.

Relation-Aware Slicing in Cross-Domain Alignment Fast algorithms for computational optimal transport and wasserstein barycenter

Reference 2014

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:38:19.779956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a85e1401-813b-441b-94bc-ed7670ce6b40 · outbound

This paper cites Augmented Sliced Wasserstein Distances.

Relation-Aware Slicing in Cross-Domain Alignment Augmented Sliced Wasserstein Distances

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-06T16:38:12.403990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 364f138a-97e0-4d1c-bab2-7deb96f0e1ba · outbound

This paper cites Mode Regularized Generative Adversarial Networks.

Relation-Aware Slicing in Cross-Domain Alignment Mode Regularized Generative Adversarial Networks

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-06T16:38:12.330439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c80c20aa-86b8-4ff8-93a6-bbacd3af65fe · outbound

This paper cites The Generator is designed as a four-layer Multilayer Perceptron (MLP)that processes a 256-dimensional input and produces a 2-dimensional output.

Relation-Aware Slicing in Cross-Domain Alignment The Generator is designed as a four-layer Multilayer Perceptron (MLP)that processes a 256-dimensional input and produces a 2-dimensional output

Reference 2019

Resolution: malformed identifier; raw_fallback, observed 2026-08-06T16:38:16.733922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f3a86dba-2f84-485e-a10a-efffbaad8065 · outbound

This paper cites Imagenet: A large-scale hierarchical image database.

Relation-Aware Slicing in Cross-Domain Alignment Imagenet: A large-scale hierarchical image database

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-06T16:38:12.637341Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a7599fc0-be35-4d1e-a50c-c00170ef6aa8 · outbound

This paper cites an unresolved cited work.

Relation-Aware Slicing in Cross-Domain Alignment Unresolved cited work

Reference 2021

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:38:18.015135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1014e764-4558-4514-9840-db60fae83765 · outbound

This paper cites Gromov-wasserstein averaging of kernel and distance matrices.

Relation-Aware Slicing in Cross-Domain Alignment Gromov-wasserstein averaging of kernel and distance matrices

Reference 2022

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T16:38:19.435474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 37e460aa-78f4-4376-b032-a30a61bf9a08 · outbound

This paper cites an unresolved cited work.

Relation-Aware Slicing in Cross-Domain Alignment Unresolved cited work

Reference 2023

Resolution: unresolved; raw_fallback, observed 2026-08-06T16:38:17.048297Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 883a574c-9bb5-412c-b993-dd74c61df2a2 · outbound

This paper cites Auto-Encoding Variational Bayes.

Relation-Aware Slicing in Cross-Domain Alignment Auto-Encoding Variational Bayes

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-06T16:38:12.890516Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.