Paper Citation Record · LEDGER

Partializations of Markov categories

As of 11 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:2509.05094.

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

pith.paper-citation-record.v1
2509.05094 v1

Coverage vector

measured 32 of 32 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-05T05:51:26.688713Z

measured 32 of 32 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

32 of 32 outbound references displayed

verified exact9
verified fuzzy0
unresolved19
parse uncertain0
malformed identifier2
metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 27ce1830-70d0-47d0-aa1b-f85151460b3b · outbound

This paper cites an unresolved cited work.

Partializations of Markov categories Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-05T05:51:27.750390Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation c16394f3-27c0-4de1-8cf6-df8461f9c709 · outbound

This paper cites A taxonomy of categories for relations.

Partializations of Markov categories A taxonomy of categories for relations

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-05T05:51:27.132677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e74573ad-de2a-447d-bcce-0880d608e3e8 · outbound

This paper cites Categorical probability spaces, ergodic decompositions, and transitions to equilibrium.

Partializations of Markov categories Categorical probability spaces, ergodic decompositions, and transitions to equilibrium

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-05T05:51:27.408281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e225e24e-cc45-490e-8b8a-25ba1db97cf4 · outbound

This paper cites Fritz, T.

Partializations of Markov categories Fritz, T

Reference 16

Resolution: verified exact; doi, observed 2026-08-05T05:51:27.038928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 613fd3b2-9686-4610-ae0d-b093c12f02b1 · outbound

This paper cites Absolute continuity, supports and idempotent splitting in categorical probability.

Partializations of Markov categories Absolute continuity, supports and idempotent splitting in categorical probability

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-05T05:51:26.610135Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation badad533-8ef5-492b-9f4b-d96bf500b583 · outbound

This paper cites Fritz, F.

Partializations of Markov categories Fritz, F

Reference 19

Resolution: metadata mismatch; raw_fallback, observed 2026-08-05T05:51:27.364398Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 35bf9282-1b25-4483-b0ef-cf282e56950c · outbound

This paper cites Fritz and A.

Partializations of Markov categories Fritz and A

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-05T05:51:26.625994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6dc7762e-6752-4abd-b0b8-1a0549c51ba9 · outbound

This paper cites 2020.107239.↑15, 16, 17, 18, 20, 22, 25, 26, 27, 44 [Gir82] M.

Partializations of Markov categories 2020.107239.↑15, 16, 17, 18, 20, 22, 25, 26, 27, 44 [Gir82] M

Reference 23

Resolution: malformed identifier; no resolver link, observed 2026-08-05T05:51:26.639759Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6ea5b917-9e12-43ce-ab89-94f1a1b70c5e · outbound

This paper cites Haugseng.

Partializations of Markov categories Haugseng

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-05T05:51:26.649064Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 310e5b56-e595-4188-9f8b-93f54c8ace8b · outbound

This paper cites Tensor-restriction categories.

Partializations of Markov categories Tensor-restriction categories

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-05T05:51:27.207218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a7097d91-f37b-4fc8-a1d8-8a89e2d94102 · outbound

This paper cites Lorenz and S.

Partializations of Markov categories Lorenz and S

Reference 29

Resolution: verified exact; doi, observed 2026-08-05T05:51:26.934697Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 8ae45293-3280-4c17-b36d-18a25fb33ff6 · outbound

This paper cites Causal models in string diagrams.

Partializations of Markov categories Causal models in string diagrams

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-05T05:51:26.674442Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e7121535-4ec6-49a4-91b3-c08bd4311db0 · outbound

This paper cites Moss and P.

Partializations of Markov categories Moss and P

Reference 31

Resolution: metadata mismatch; raw_fallback, observed 2026-08-05T05:51:27.563873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 64042b0a-68aa-4d57-9bf1-61711559fff7 · outbound

This paper cites 6.↑15 [Pan99] P.

Partializations of Markov categories 6.↑15 [Pan99] P

Reference 32

Resolution: verified exact; doi, observed 2026-08-05T05:51:26.739470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ae94d145-2fe3-4b14-89f5-19f8dd22a1d8 · outbound

This paper cites Fritz and E.

Partializations of Markov categories Fritz and E

Reference 1976

Resolution: unresolved; no resolver link, observed 2026-08-05T05:51:26.630577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4cb35c17-c670-4d36-b551-555f2776bcc7 · outbound

This paper cites Gonda, T.

Partializations of Markov categories Gonda, T

Reference 1982

Resolution: unresolved; no resolver link, observed 2026-08-05T05:51:26.644278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1d2e79c7-951e-498d-b60f-d5582f1617d5 · outbound

This paper cites Di Lavore, G.

Partializations of Markov categories Di Lavore, G

Reference 1987

Resolution: unresolved; no resolver link, observed 2026-08-05T05:51:26.583792Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6a2c3a65-3e31-420b-90da-eff5f8db87d5 · outbound

This paper cites Srinivas.

Partializations of Markov categories Srinivas

Reference 1988

Resolution: unresolved; no resolver link, observed 2026-08-05T05:51:26.688713Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed710d3b-37ac-4c52-8cc7-7fe9486e2ec8 · outbound

This paper cites Carmeli, T.

Partializations of Markov categories Carmeli, T

Reference 1989

Resolution: verified exact; doi, observed 2026-08-05T05:51:27.075821Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ec95227a-75d1-4ae6-ae75-235baeda4e81 · outbound

This paper cites ↑26 [LRSS25] E.

Partializations of Markov categories ↑26 [LRSS25] E

Reference 1995

Resolution: unresolved; no resolver link, observed 2026-08-05T05:51:26.665127Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5c6b73e7-bdcc-43a5-8416-483d52a2bf34 · outbound

This paper cites an unresolved cited work.

Partializations of Markov categories Unresolved cited work

Reference 1999

Resolution: malformed identifier; no resolver link, observed 2026-08-05T05:51:26.538213Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 021de5b6-ea39-41d2-901f-7e28f5530f37 · outbound

This paper cites ↑4, 8, 10, 13, 14, 24, 25, 31, 32, 46, 54 [CL07] R.

Partializations of Markov categories ↑4, 8, 10, 13, 14, 24, 25, 31, 32, 46, 54 [CL07] R

Reference 2002

Resolution: unresolved; no resolver link, observed 2026-08-05T05:51:26.564195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 476efc01-2f99-4eba-8e90-7a008aa44b74 · outbound

This paper cites an unresolved cited work.

Partializations of Markov categories Unresolved cited work

Reference 2007

Resolution: unresolved; no resolver link, observed 2026-08-05T05:51:26.569324Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8c54d0db-229f-4056-9c99-7df7ff504bda · outbound

This paper cites Cho and B.

Partializations of Markov categories Cho and B

Reference 2013

Resolution: unresolved; no resolver link, observed 2026-08-05T05:51:26.554505Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69c4bb8e-910e-439d-8c89-f079d32e2834 · outbound

This paper cites Heunen and J.-S.

Partializations of Markov categories Heunen and J.-S

Reference 2018

Resolution: unresolved; no resolver link, observed 2026-08-05T05:51:26.654751Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 44438c5d-c268-4c15-9fbb-3a5f28286544 · outbound

This paper cites ↑15, 17, 22, 44 [CL02] J.

Partializations of Markov categories ↑15, 17, 22, 44 [CL02] J

Reference 2019

Resolution: unresolved; no resolver link, observed 2026-08-05T05:51:26.559276Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c982fde0-2861-48c8-9f78-bec12ce60aeb · outbound

This paper cites an unresolved cited work.

Partializations of Markov categories Unresolved cited work

Reference 2020

Resolution: unresolved; no resolver link, observed 2026-08-05T05:51:26.635102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 69fe2a58-f807-46b5-821c-f5e9ac569043 · outbound

This paper cites Fritz, T.

Partializations of Markov categories Fritz, T

Reference 2021

Resolution: verified exact; doi, observed 2026-08-05T05:51:27.024214Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b55dce61-23af-4cbe-bcac-96129c6a3f8a · outbound

This paper cites Carboni and R.

Partializations of Markov categories Carboni and R

Reference 2022

Resolution: unresolved; no resolver link, observed 2026-08-05T05:51:26.579192Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4cb2df29-e6a8-4a02-9f6f-d345f817157a · outbound

This paper cites 10175776.↑3, 6, 11, 15, 18, 19, 22, 30, 31, 44 [DLRS] E.

Partializations of Markov categories 10175776.↑3, 6, 11, 15, 18, 19, 22, 30, 31, 44 [DLRS] E

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-05T05:51:26.593235Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1a8a6d19-f463-449b-ba78-7e1e56030fd5 · outbound

This paper cites Corradini and F.

Partializations of Markov categories Corradini and F

Reference 2024

Resolution: unresolved; no resolver link, observed 2026-08-05T05:51:26.532848Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cb403a90-b2c9-498c-adaf-1e9e224bb4c7 · outbound

This paper cites Between Markov and restriction. Two more monads on categories for relations.

Partializations of Markov categories Between Markov and restriction. Two more monads on categories for relations

Reference 2025

Resolution: verified exact; local_arxiv, observed 2026-08-05T05:51:27.157127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.