Paper Citation Record · LEDGER

One-Sided Quantile Coupling for Flow Matching

As of 18 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2608.00978.

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

pith.paper-citation-record.v1
2608.00978 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T00:40:58.573697Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

20 of 20 outbound references displayed

verified exact0
verified fuzzy11
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d9780406-ce77-4a6b-866d-265237eda5da · outbound

This paper cites an unresolved cited work.

One-Sided Quantile Coupling for Flow Matching Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-06T00:41:01.691526Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b956fd2b-c4f3-4667-9f26-9a1f9d28f273 · outbound

This paper cites The three terms are the projectionv ij =u ⊤ j xi, theksorts ofBvalues, and the one-off QR orthogonalization ofU, respectively.

One-Sided Quantile Coupling for Flow Matching The three terms are the projectionv ij =u ⊤ j xi, theksorts ofBvalues, and the one-off QR orthogonalization ofU, respectively

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:41:00.946523Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation db37c199-1e00-4ac1-92f9-fa2e238d0b98 · outbound

This paper cites Quantile-Coupled Flow Matching for Distributional Reinforcement Learning.

One-Sided Quantile Coupling for Flow Matching Quantile-Coupled Flow Matching for Distributional Reinforcement Learning

Reference 6

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T00:40:59.005950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1e1dc06b-7e07-4908-9342-7cd1fa81876d · outbound

This paper cites InProceedings of the IEEE/CVF Confer- ence on Computer Vision and Pattern Recognition (CVPR), 37992–38003.

One-Sided Quantile Coupling for Flow Matching InProceedings of the IEEE/CVF Confer- ence on Computer Vision and Pattern Recognition (CVPR), 37992–38003

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:41:01.232212Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 66c1f082-0984-4b95-8cb3-9fbf98f8872f · outbound

This paper cites Flow Matching Guide and Code.

One-Sided Quantile Coupling for Flow Matching Flow Matching Guide and Code

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-06T00:40:57.071366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 285aadff-805b-49f4-9e44-4f53d94ac7ab · outbound

This paper cites Sliced Transport Plans.

One-Sided Quantile Coupling for Flow Matching Sliced Transport Plans

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T00:40:57.345238Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8926dee0-5f15-4e54-b829-6d1e9107ef00 · outbound

This paper cites for somec≥0; both sides are left-continuous andΦ−1 is continuous, so this holds for everyτ, i.e.u#p1 =N(µ u, c2)is Gaussian, and thenc=σ u andC u =σ u.

One-Sided Quantile Coupling for Flow Matching for somec≥0; both sides are left-continuous andΦ−1 is continuous, so this holds for everyτ, i.e.u#p1 =N(µ u, c2)is Gaussian, and thenc=σ u andC u =σ u

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:41:00.843655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 93b61c80-b1c9-494e-be80-a75ad37905eb · outbound

This paper cites an unresolved cited work.

One-Sided Quantile Coupling for Flow Matching Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-06T00:41:00.753864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b5223b48-2c2c-4403-9bee-907d4a3e315c · outbound

This paper cites an unresolved cited work.

One-Sided Quantile Coupling for Flow Matching Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-06T00:41:00.567590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 209c1e26-0ac7-480b-8e95-fbfa7f372a77 · outbound

This paper cites Writes ⋆ := (1−t) +tσands 2 ⊥ := (1−t) 2 +t 2σ2 for the in-slice and complement interpolation scales, and set∆ :=s−2 ⊥ −s −2 ⋆ andλ:= ∆ 2 ∥xt∥2.

One-Sided Quantile Coupling for Flow Matching Writes ⋆ := (1−t) +tσands 2 ⊥ := (1−t) 2 +t 2σ2 for the in-slice and complement interpolation scales, and set∆ :=s−2 ⊥ −s −2 ⋆ andλ:= ∆ 2 ∥xt∥2

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:41:00.403291Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e8af9320-30e6-4686-87ea-48a5b7256ed9 · outbound

This paper cites (a).The grid cdf ˆGB jumps by1/Bat eachg r = Φ−1 r−1/2 B.

One-Sided Quantile Coupling for Flow Matching (a).The grid cdf ˆGB jumps by1/Bat eachg r = Φ−1 r−1/2 B

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:41:00.187533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1c24133d-2381-4a64-8598-c4dd73529306 · outbound

This paper cites This is the classical variance of a simple linear rank statistic (Hoeffding 1951), specialized to the scoresgm.

One-Sided Quantile Coupling for Flow Matching This is the classical variance of a simple linear rank statistic (Hoeffding 1951), specialized to the scoresgm

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:40:59.671248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 423a7c99-1328-455e-8dcb-fefbc0da9ddf · outbound

This paper cites The anti-monotone control degrades FID to2.41, worse than both the Baseline (2.24) and the monotone construction (2.10), despite using the same Gaussian quantile grid.

One-Sided Quantile Coupling for Flow Matching The anti-monotone control degrades FID to2.41, worse than both the Baseline (2.24) and the monotone construction (2.10), despite using the same Gaussian quantile grid

Reference 64

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:40:59.426410Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 819de7b6-7889-4bda-88c2-ee06cb3573f6 · outbound

This paper cites Mousavi-Hosseini, A.; Zhang, S.

One-Sided Quantile Coupling for Flow Matching Mousavi-Hosseini, A.; Zhang, S

Reference 1997

Resolution: unresolved; no resolver link, observed 2026-08-06T00:40:57.157477Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46aae832-30b5-4d80-9e95-1574202702bc · outbound

This paper cites InProceedings of the IEEE Conference on Com- puter Vision and Pattern Recognition, 248–255.

One-Sided Quantile Coupling for Flow Matching InProceedings of the IEEE Conference on Com- puter Vision and Pattern Recognition, 248–255

Reference 2009

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:41:01.389420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b6cf8581-94b5-4686-80bf-b7b68c96f0a5 · outbound

This paper cites Only the rate is used below.

One-Sided Quantile Coupling for Flow Matching Only the rate is used below

Reference 2019

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:40:59.927008Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5e8228ca-9d29-4afd-9577-d8efeafc924f · outbound

This paper cites InInternational Conference on Machine Learn- ing (ICML).

One-Sided Quantile Coupling for Flow Matching InInternational Conference on Machine Learn- ing (ICML)

Reference 2023

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:41:01.070546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 56e36c41-ece9-4efc-bc96-266e878b9ecc · outbound

This paper cites InInternational Conference on Machine Learning (ICML).

One-Sided Quantile Coupling for Flow Matching InInternational Conference on Machine Learning (ICML)

Reference 2024

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T00:41:01.489380Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ecfb45c0-2efc-4325-ab4c-ea279f7eecab · outbound

This paper cites Stochastic Interpolants: A Unifying Framework for Flows and Diffusions.

One-Sided Quantile Coupling for Flow Matching Stochastic Interpolants: A Unifying Framework for Flows and Diffusions

Reference 2025

Resolution: unresolved; no resolver link, observed 2026-08-06T00:40:56.553421Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58a93efe-00f6-4783-9a50-7fd595f48584 · outbound

This paper cites Expected Batch Optimal Transport Plans and Consequences for Flow Matching.

One-Sided Quantile Coupling for Flow Matching Expected Batch Optimal Transport Plans and Consequences for Flow Matching

Reference 2026

Resolution: metadata mismatch; local_arxiv, observed 2026-08-06T00:40:59.226412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Pith citing papers

No inbound Pith citation observations are available.