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Paper Citation Record · LEDGER

The Diffusion-Attention Connection

As of 24 July 2026, this Paper Citation Record lists 27 of 27 outbound references and 0 inbound Pith citation observations for arXiv:2604.09560.

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

pith.paper-citation-record.v1
2604.09560 v1

Coverage vector

measured 27 of 27 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-16T02:49:33.813404Z

measured 27 of 27 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-07-24T06:31:00.690269+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

27 of 27 outbound references displayed

  • verified exact8
  • verified fuzzy19
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a6d29336-f5eb-4395-95b6-976655838266 · outbound

This paper cites an unresolved cited work.

The Diffusion-Attention Connection Unresolved cited work

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.518587Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:7af141946d384a553cd21447f0022683459f7179108fe70d9fb1795a912af2b8

Observation 6d445a35-ce43-4860-88e8-624a2fa6dc4e · outbound

This paper cites A←+ ij plays the role of abackward message(or future constraint) onj, derived fromd ←.

The Diffusion-Attention Connection A←+ ij plays the role of abackward message(or future constraint) onj, derived fromd ←

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.528210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:407ca527a86e93fb3ad4114610cb80290feb981a3429225be8e7603138b3121c

Observation 9d8c3334-bda2-4bfc-8913-d1891a7cd98c · outbound

This paper cites Pearson, On lines and planes of closest fit to systems of points in space, Philosophical Magazine2, 559 (1901).

The Diffusion-Attention Connection Pearson, On lines and planes of closest fit to systems of points in space, Philosophical Magazine2, 559 (1901)

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.539928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:04d17b4040d436eb9919236025a67869c1afeaa47b8db7ae846ec8d0c881cdeb

Observation 54a34f31-2bd5-474a-a5b7-f92a7d7912f0 · outbound

This paper cites Rosenblatt, The perceptron: A probabilistic model for information storage and organization in the brain, Psychological Review65, 386 (1958).

The Diffusion-Attention Connection Rosenblatt, The perceptron: A probabilistic model for information storage and organization in the brain, Psychological Review65, 386 (1958)

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.559461Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:aa36095d58e6ae637ebef333e934f8323692a4f703504b7afe7cc2e27dc6400b

Observation 2afc1b73-499e-48c6-aad6-b814da5d56f1 · outbound

This paper cites an unresolved cited work.

The Diffusion-Attention Connection Unresolved cited work

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.570791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:3c5cb8666d2092b63145b9a426ad3a8ec91f7f5486f6225d952f6eeaf80e9f48

Observation 5ac37297-c16c-4847-b47f-1fe792f3fc49 · outbound

This paper cites an unresolved cited work.

The Diffusion-Attention Connection Unresolved cited work

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.563034Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:0a70507d3ffdf3e8e2a86fa815cde3c76666f2d4e0c96d953856f1ed3fb5712f

Observation de247ee8-6ae9-4879-8c57-38ce1a479978 · outbound

This paper cites Attention Is All You Need.

The Diffusion-Attention Connection Attention Is All You Need

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-05-16T02:50:31.415810Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:f0e7a810f8098f865173b3404e62f9aa25682515d5665a6c4e774a1df803a6a1

Observation 873727b5-aa43-4413-9dec-91fdd4c60a5e · outbound

This paper cites Scalable Diffusion Models with Transformers.

The Diffusion-Attention Connection Scalable Diffusion Models with Transformers

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-05-16T02:50:31.434406Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:a4ff4ca905ef85ba3aa9d6d3d1ed447c5a7a8721764eba2f18f6ddabe0382919

Observation 9740095d-e352-40da-a4c0-bf6c094e9e30 · outbound

This paper cites Denoising Diffusion Probabilistic Models.

The Diffusion-Attention Connection Denoising Diffusion Probabilistic Models

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-05-16T02:50:31.405766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:e9437c2f6fa20d4583e3f3f9692b03167d95036fb8268b6d8954e9f53adc3b74

Observation b865ccf8-135c-40ce-8cdc-a4267c5bcf5b · outbound

This paper cites Diffusion Schr\"odinger Bridge with Applications to Score-Based Generative Modeling.

The Diffusion-Attention Connection Diffusion Schr\"odinger Bridge with Applications to Score-Based Generative Modeling

Reference 10

Resolution
verified exact
arxiv_id, observed 2026-05-16T02:50:31.403723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:0658e7126a30e101937c782ad148301cddb339e0743e8b9b95b97dfbd1a5adf1

Observation cf5e70a8-c226-421a-897e-16bc0ef0610b · outbound

This paper cites Parzen, On estimation of a probability density func- tion and mode, The Annals of Mathematical Statistics 33, 1065 (1962).

The Diffusion-Attention Connection Parzen, On estimation of a probability density func- tion and mode, The Annals of Mathematical Statistics 33, 1065 (1962)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.566956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:274db39c286faebcb0771527819a954ede1816808415de273958b421773a5b93

Observation c553f4a2-055b-4b17-9d04-770a12a6d4f0 · outbound

This paper cites Sch¨ olkopf and A.

The Diffusion-Attention Connection Sch¨ olkopf and A

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.523575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:49a85e1f4b30ad9b86dbad9c55a711fab697a1fe4f909f50285432814af974d7

Observation 6fd695a2-4586-4d7b-b1f3-2c4852873d5f · outbound

This paper cites Williams and C.

The Diffusion-Attention Connection Williams and C

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.535993Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:f4151f6b27e848a09201d32c41ed37647dcae8c39a67bb55a3e169173f5ea872

Observation 74c82933-7dbf-43ee-9762-d6330e78a80d · outbound

This paper cites Unveiling the Hidden Structure of Self-Attention via Kernel Principal Component Analysis.

The Diffusion-Attention Connection Unveiling the Hidden Structure of Self-Attention via Kernel Principal Component Analysis

Reference 14

Resolution
verified exact
arxiv_id, observed 2026-05-16T02:50:31.428050Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:26b7d31452ff13d9d98289c644daf763bf34b1dc7a92b355f8e26a14ddfb08ba

Observation 13f16691-781c-45da-a122-edbf6fb47272 · outbound

This paper cites an unresolved cited work.

The Diffusion-Attention Connection Unresolved cited work

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.514827Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:9cd7000a5a28e8378876f7252995aba451e1a3425a5c10001ff9f2376e634bd6

Observation afaf6cf9-4421-4aba-a1a9-397307adfdbf · outbound

This paper cites Belkin and P.

The Diffusion-Attention Connection Belkin and P

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.547898Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:ed1909f7e141297cc99026c223d8293db89f3b7e3eb8d1dcc13347bb2e903b9a

Observation 6f36ae77-f1fc-4d4f-a119-d3a23a66544d · outbound

This paper cites an unresolved cited work.

The Diffusion-Attention Connection Unresolved cited work

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.515180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:ca28d828a476f0afd2d81877cbf674410b1e309f3206cc78799ab61d97c0f48e

Observation b3173609-561f-4fe0-8277-c86412cb14b8 · outbound

This paper cites an unresolved cited work.

The Diffusion-Attention Connection Unresolved cited work

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.507703Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:cf74ac60e21e7fe5395bb7fdaad6320c5df2c8779821d81a256e4f5d250feec4

Observation 41653255-3ba1-443d-88e1-4d560a4e7480 · outbound

This paper cites Bi-stochastic kernels via asymmetric affinity functions.

The Diffusion-Attention Connection Bi-stochastic kernels via asymmetric affinity functions

Reference 19

Resolution
verified exact
local_arxiv, observed 2026-05-16T02:50:31.440414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:eaa4b281726b7c81df8ddeed071cee23f078903334f8b1e26a51623f7438a9f1

Observation 24cffcbc-f134-4bc4-846c-f76ccfae8d73 · outbound

This paper cites Magnetic Eigenmaps for the Visualization of Directed Networks.

The Diffusion-Attention Connection Magnetic Eigenmaps for the Visualization of Directed Networks

Reference 20

Resolution
verified exact
local_arxiv, observed 2026-05-16T02:50:31.421874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:bf64f06186eb654f5b98bed59b20656c44a5eede6995095a3f2afa8f4430b6cc

Observation 8c14fa80-0a81-443d-8dc2-82ccee29e727 · outbound

This paper cites an unresolved cited work.

The Diffusion-Attention Connection Unresolved cited work

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.574353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:c0cee6324b81f70fc16f52ffe3b474c4d943673aaefaf4f4ff0ae8496f978dc9

Observation 66e734fa-d080-4302-b648-3b0d9900588f · outbound

This paper cites an unresolved cited work.

The Diffusion-Attention Connection Unresolved cited work

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.537420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:19afa7872b3e1762b06c7a9495d5de8fb8e7520dcda7a596bc67f1e75c812534

Observation c0843570-d491-4944-9eb4-65258c33ca34 · outbound

This paper cites An Optimal Transport approach for the Schr\"odinger bridge problem and convergence of Sinkhorn algorithm.

The Diffusion-Attention Connection An Optimal Transport approach for the Schr\"odinger bridge problem and convergence of Sinkhorn algorithm

Reference 23

Resolution
verified exact
arxiv_id, observed 2026-05-16T02:50:31.410460Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:d17e2887a719d3c9b1af60bbac0d684544c51dfe947a7aa552c91907229604bd

Observation 8fdbe2c3-1887-4299-ad32-569620e9fc85 · outbound

This paper cites an unresolved cited work.

The Diffusion-Attention Connection Unresolved cited work

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.551580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:663208f1ad43a0fa4fdf96d574b2ca4c4590891f4a2760d46c8c77d73fe0948e

Observation c5774263-7ad4-437c-8e04-facca518fd19 · outbound

This paper cites Starting fromZ (0) ij := exp(z ij), we define fort= 0,1,2.

The Diffusion-Attention Connection Starting fromZ (0) ij := exp(z ij), we define fort= 0,1,2

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.555285Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:420cf488c56a00a49c73c0f560c0bc018f558196e38a31e7aed838a3bbe88f53

Observation 7feec3f1-c20e-4f03-a9c1-9ea6c14952ba · outbound

This paper cites Corollary B.6IfZ= Sinkhorn(z ij)andW= Sinkhorn(sij), thenZWis bistochastic.

The Diffusion-Attention Connection Corollary B.6IfZ= Sinkhorn(z ij)andW= Sinkhorn(sij), thenZWis bistochastic

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.532112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:aa4809a988fc16212f6978c39ba5826d3b1194cb9dc520f42c6147807776cc64

Observation 8463149a-0bd2-41ee-9e45-c08a999c2b8a · outbound

This paper cites an unresolved cited work.

The Diffusion-Attention Connection Unresolved cited work

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-16T02:50:31.544100Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-07-24T06:31:00.690269+00:00.

source=pdf_text observed=2026-05-16T02:49:33.813404Z digest=sha256:5c4d923f82bf2d48fcf8d7f6d9dde12f4663e1a77bf48aa8720f49ff40e1604a

Pith citing papers

No inbound Pith citation observations are available.