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Paper Citation Record · LEDGER

The Markov Marginal Problem for Density Operators

As of 6 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 1 inbound Pith citation observation for arXiv:2605.19453.

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

pith.paper-citation-record.v1
2605.19453 v2

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-01T08:06:28.559727Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-06T06:34:29.942622+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-01T00:02:03.706140Z

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 fuzzy2
  • unresolved20
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 462bb61c-038b-46ba-a0ce-cd260cf01cd6 · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.208921Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:94fc5e4fd08186d43a76dc29225824512becfe3322c2395628db370e541d9e18

Observation efcfade0-e437-48c5-bfe2-b41cbf4568a7 · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.215514Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:a6ac5719a5349ffb81535ace379a4bfd22472ea65c6c5a52aa0652fc2f616f6e

Observation a1e4943a-e7de-4705-9d7a-7e38c594ef68 · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.220698Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:9c659aa50df0d56507e6c09a9b69f8c00969ad13aabc11eb8f652b330d4c26db

Observation 05bdfb17-400f-474a-afd5-f7f84ff7d2f6 · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.202122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:98e940ecaa014d1eb577595d823adc9f3845007b74e7f8b52c98b95618fce6e9

Observation ec0dd686-6c87-4264-ac6e-5f99729f5cae · outbound

This paper cites Jozsa, D.

The Markov Marginal Problem for Density Operators Jozsa, D

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T13:32:34.213744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:0fbaf326c5d38ce48b7d336fcef99034f316f018217b1920bf1f2ddf8fb0dda1

Observation bc2ee92e-4b32-4c29-bf21-071caafbdce9 · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.217172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:52a8a93655c43b3df5be3dfc07c4567dd5f7464e3a916f16f1571ec2b066be27

Observation 39ab1264-864c-4908-99e8-53db179bee54 · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.210575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:85c9bf5ce1bfdcfd3a0e6bb90dd774e65bcf71ab8dbabe1556596912ac565b5f

Observation 2559a485-2dd9-40fc-adc3-4bc8062785e7 · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.212120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:cb7c175ce0f40e47cd7f68e739a500d9126d337e1b39f22bae36c92cedb60e25

Observation 6268f226-429c-456f-a021-916d749e563f · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.191996Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:9ba369b6118490e176e89dd2437f18abfdf08261b4f8ef3b7588b5ab7deebfc0

Observation 42e97ef6-17b0-4680-bc53-22e9276fd79b · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.193788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:5158d06f22608a46988c51dbfc8c046f96dc2a95180d93dd84b9ba956bc862b4

Observation 298ec183-3bf3-47e2-9782-18307bdaddcc · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.198767Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:0d9c7bcb9c2394e8d795f136cb944d26ef9217477b3c478bc6d7b4dc49079ff6

Observation 9bd0db2d-4985-4d7e-9576-2cc2f3d44709 · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.195434Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:43b3180094704aead712debab83efb309cd08760f3d2c2580c94b04285e0bc2b

Observation 592a92ef-a5df-41b6-baa8-5d17f3d6267f · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.200420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:203a9f1d5587f0c47a6714d5a449bc4b74651a3ddf35762b5e92b735703e3f5c

Observation bac14ce2-298d-4222-9144-8a30907dc2c5 · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.207345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:fdfff45e479d319176961c9f99442885f82059deb0318b58667c5f3c2d8f35f8

Observation f319a1ad-8098-4329-a1ee-01154d58ee96 · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.205679Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:e439164bc3c2b3529843b2f93ff7c216042740b468013e5943e79d365d18d13c

Observation b75dba21-2575-4539-b231-01e26bb2a2d7 · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.222385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:39b0766291f947f00d66cb452b5783b9d7825f516ed01cab88b2974bcf6837e9

Observation 720e85f9-3860-4e53-9ad6-ef668d4326c0 · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.190262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:7c54eedc5183ebe685db3a887b4c726f1ab35510bd313d6286630455ad54deae

Observation d780dd17-c7da-49b9-8bdf-cded210a84bc · outbound

This paper cites Still, M.

The Markov Marginal Problem for Density Operators Still, M

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-07-06T13:32:34.197043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:290ce9457800a15587034bf98c01c8d866700dd15a9bf47a68c10554511cc945

Observation 69019152-494e-443b-9020-a3d893d30ecc · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.218974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:c55fedf2167f6116dd171cb01ac0657ffcc031d8c32909914960e8558244fdd5

Observation 1433051c-6ed9-4fec-b03b-d5f00fa3130e · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.203880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:53989926f02cfb78cd0f9c43811c8812b6598b2575b616f578027091138d3fc3

Observation 98975de4-2e8f-46eb-82c0-df01e3117fd8 · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.186581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:08048a7da2d6ad029cecd75d340d93e78a1b1d4fe4fdb1ca5d0a69a8aca5ba6e

Observation 051c09c4-4c3e-4f1b-a19c-e206c8bb24cd · outbound

This paper cites an unresolved cited work.

The Markov Marginal Problem for Density Operators Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-07-06T13:32:34.188567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-06T06:34:29.942622+00:00.

source=arxiv_source observed=2026-07-01T08:06:28.559727Z digest=sha256:986894a1e57c36d44e93e7c9b790ef128be8f4f3c273ae02a640f989da6068b3

Pith citing papers

Observation 7f6ec26d-1b69-472d-8bbd-e811b770620f · inbound

Bayesian Networks of Density Operators cites this paper.

Bayesian Networks of Density Operators The Markov Marginal Problem for Density Operators

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T00:02:03.706140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-01T00:02:03.706140Z digest=sha256:05598119af85d6286e821672aceed03c553ecd0b6b621e19cf990b1ac6840e7a