Paper Citation Record · LEDGER

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning

As of 20 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2605.27259.

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

pith.paper-citation-record.v1
2605.27259 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-02T13:04:34.585146Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-02T00:11:45.685517Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

22 of 22 outbound references displayed

verified exact0
verified fuzzy0
unresolved22
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4a3c0c6e-1a9c-4ca6-80fe-99a84e8626fe · outbound

This paper cites M., Veli c kovi \'c , P., and Li \`o , P.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning M., Veli c kovi \'c , P., and Li \`o , P

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:33.065411Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 808111e6-565e-4458-bd00-eabe851289f6 · outbound

This paper cites an unresolved cited work.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning Unresolved cited work

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:33.138655Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 56e9785c-d516-464d-aacf-fb7a77c1f44a · outbound

This paper cites P., Li \`o , P., and Bronstein, M.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning P., Li \`o , P., and Bronstein, M

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:33.318522Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7e030d19-5d80-45c8-be54-4e9293cf8ab3 · outbound

This paper cites an unresolved cited work.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning Unresolved cited work

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:33.401471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation baaf515d-7696-4289-a4cf-cd6675eca2be · outbound

This paper cites an unresolved cited work.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:33.470541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6f1b9afc-089e-45ce-b225-368dcd8a8dd2 · outbound

This paper cites N., Birdal, T., Dey, T.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning N., Birdal, T., Dey, T

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:33.521600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0cfc456-f1ee-4cb0-b0b3-0d13a6e92b5a · outbound

This paper cites L., Dawood, S., Cherukuri, B., Kocheemoolayil, J.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning L., Dawood, S., Cherukuri, B., Kocheemoolayil, J

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:33.588259Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c0cbdbd-5faf-4239-bf19-35f7fe83069d · outbound

This paper cites an unresolved cited work.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning Unresolved cited work

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:33.634632Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 912b440d-26d8-4943-a377-48605df35522 · outbound

This paper cites L., Thickstun, J., Gulrajani, I., Liang, P., and Hashimoto, T.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning L., Thickstun, J., Gulrajani, I., Liang, P., and Hashimoto, T

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:33.701610Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ca92d709-7a1a-4d54-aed5-bd8f9c95b10e · outbound

This paper cites an unresolved cited work.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning Unresolved cited work

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:33.750982Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 46d2d9c1-38da-4d04-9e1a-b24e7e00e8a8 · outbound

This paper cites an unresolved cited work.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning Unresolved cited work

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:33.814058Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 93995cca-f3dd-4654-8c46-2672c28c38c3 · outbound

This paper cites an unresolved cited work.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning Unresolved cited work

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:33.875854Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 354c6927-c757-4768-b678-cdeefd9bc017 · outbound

This paper cites an unresolved cited work.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:33.966057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9a1441e4-e447-4eff-a3e4-bbb2098e0701 · outbound

This paper cites an unresolved cited work.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:34.020965Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e152b31e-dff5-43c8-97b4-82a403becfd4 · outbound

This paper cites an unresolved cited work.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:34.087217Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ddc0da63-ad65-4092-bad8-faff22469185 · outbound

This paper cites and Xie, S.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning and Xie, S

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:34.130368Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c4edceca-b565-43c6-9085-f1c5479b1853 · outbound

This paper cites an unresolved cited work.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:34.249701Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c93a9472-d37f-4c3c-814a-fe9132d40a3d · outbound

This paper cites an unresolved cited work.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:34.310876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2820c6af-d952-4dd9-a3ab-e9eb5ac2bdaf · outbound

This paper cites N., Kaiser, L., and Polosukhin, I.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning N., Kaiser, L., and Polosukhin, I

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:34.379008Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3a51c0c8-e7f2-448c-9c79-ef7a8405d699 · outbound

This paper cites an unresolved cited work.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning Unresolved cited work

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:34.434882Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e8008ae-0a4e-465e-9f1a-d36fccc9420b · outbound

This paper cites , " * write output.state after.block = add.period write newline.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning , " * write output.state after.block = add.period write newline

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:34.531528Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eb0ace4d-d0d6-44c2-a781-a7592b7dc600 · outbound

This paper cites write newline.

Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning write newline

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T13:04:34.585146Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation b7c38cd7-4b33-479a-815e-c4c7bce4ed51 · inbound

Learning in Infinitesimal Non-Compositional Sketches cites this paper.

Learning in Infinitesimal Non-Compositional Sketches Kan Extension Transformers: A Categorical Unification of Attention, Diffusion, and Predict-Detach Self-Conditioning

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T00:11:45.685517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.