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Paper Citation Record · LEDGER

Low rank MSO

As of 11 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 2 inbound Pith citation observations for arXiv:2502.08476.

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

pith.paper-citation-record.v1
2502.08476 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-08T05:05:50.605660Z

measured 25 of 25 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-13T02:48:08.655303Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-05-11T13:16:04.100264Z

Reference resolution

23 of 23 outbound references displayed

  • verified exact2
  • verified fuzzy18
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 9a562eed-13b8-45e0-bfdd-487567f8e019 · outbound

This paper cites Separator logic and star-free expressions for graphs.

Low rank MSO Separator logic and star-free expressions for graphs

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-08T05:05:50.686443Z

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.

source=pdf_text observed=2026-08-08T05:05:50.497397Z digest=sha256:a576870511d21c54075ab408d7bc7f89edb4514b058a915122e1519cbc76c6b9

Observation eccd0cb9-ed44-4480-ad79-04b1f93dc156 · outbound

This paper cites Model checking on interpretations of classes of bounded local cliquewidth.

Low rank MSO Model checking on interpretations of classes of bounded local cliquewidth

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:05:50.985372Z

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.

source=pdf_text observed=2026-08-08T05:05:50.502689Z digest=sha256:a8d1fce1ad20f234a2cebd37e22e6327cd0a07ea7f549047ed9d43b4cf754493

Observation d16cd3c4-aa11-49dd-b744-cd0ac4ad28b6 · outbound

This paper cites The monadic second-order logic of graphs.

Low rank MSO The monadic second-order logic of graphs

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:05:50.970667Z

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.

source=pdf_text observed=2026-08-08T05:05:50.508017Z digest=sha256:ade6ca364f60c7beaf382e94d4227aca517d76d16c295d24bb26904b574e4c01

Observation 545ef41c-89fa-42de-a040-afbe1541eb2e · outbound

This paper cites Makowsky, and Udi Rotics.

Low rank MSO Makowsky, and Udi Rotics

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:05:50.955717Z

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.

source=pdf_text observed=2026-08-08T05:05:50.512981Z digest=sha256:0440347ad719e6c141b0e9e78c34eab58c517d2d582ed1aef9f4f6d80574bb09

Observation 4d72f524-0792-4ab0-ba72-1aa40c9ffb62 · outbound

This paper cites First-Order model checking on monadically stable graph classes.

Low rank MSO First-Order model checking on monadically stable graph classes

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:05:50.939891Z

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.

source=pdf_text observed=2026-08-08T05:05:50.518271Z digest=sha256:0245f38c29341cd3b5a49d50c662efe1dc601c0b0ba4b9dc4b39e862a5996e58

Observation 2329b22b-c82a-400a-8489-aa80b9f250f8 · outbound

This paper cites Indiscernibles and flatness in monadically stable and monadically NIP classes.

Low rank MSO Indiscernibles and flatness in monadically stable and monadically NIP classes

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:05:50.925584Z

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.

source=pdf_text observed=2026-08-08T05:05:50.523511Z digest=sha256:8304719433db5dd6e288c16ac2cc78c4b8633d52a78d6877f27c1ad83036c925

Observation 3a5b5772-af84-401f-994a-1861c00dc657 · outbound

This paper cites Flip-breakability: A combinatorial dichotomy for monadically dependent graph classes.

Low rank MSO Flip-breakability: A combinatorial dichotomy for monadically dependent graph classes

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:05:50.910409Z

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.

source=pdf_text observed=2026-08-08T05:05:50.529216Z digest=sha256:4979f402fd8eb52e616b46658a3b41a2b4957be0a30ce5295015dfa91f761950

Observation 53f13384-0c9c-44cb-b3ba-46ce7e6b829f · outbound

This paper cites Flipper games for monad- ically stable graph classes.

Low rank MSO Flipper games for monad- ically stable graph classes

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:05:50.896029Z

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.

source=pdf_text observed=2026-08-08T05:05:50.534032Z digest=sha256:1ffbe64011bc89e454007e5196c90bcb4a3211649a9f0d5ba9138a9a982bdf06

Observation f715cabe-1197-4397-aff8-4f92ed065018 · outbound

This paper cites Twin-width and Limits of Tractability of FO Model Checking on Geometric Graphs.

Low rank MSO Twin-width and Limits of Tractability of FO Model Checking on Geometric Graphs

Reference 9

Resolution
verified exact
local_arxiv, observed 2026-08-08T05:05:50.664979Z

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.

source=pdf_text observed=2026-08-08T05:05:50.538922Z digest=sha256:0c8b3b76471b120f71c1e95f4f20c7b0d458112f39b4471b6fada2ae29a0064f

Observation 549161cf-7b78-4255-9db7-311c1c0adc5d · outbound

This paper cites Nondeterministic space is closed under complementation.

Low rank MSO Nondeterministic space is closed under complementation

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:05:50.880460Z

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.

source=pdf_text observed=2026-08-08T05:05:50.544244Z digest=sha256:0e146ea7da9bf17751afce97600016cecf5ac519a477d84d7063dfaa3682cec7

Observation abc2042d-ba02-4f8c-8613-b81d5cf816be · outbound

This paper cites Vertex-minors of graphs: A survey.

Low rank MSO Vertex-minors of graphs: A survey

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-08T05:05:50.549027Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T05:05:50.549027Z digest=sha256:a23e580874019cacfccecacae5406b5a256c06a986cf6a217a44a049173150d4

Observation 5969e951-33f2-490a-82e6-bc9eb9f4865b · outbound

This paper cites Local structure for vertex-minors.

Low rank MSO Local structure for vertex-minors

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:05:50.853178Z

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.

source=pdf_text observed=2026-08-08T05:05:50.553631Z digest=sha256:256ed73f41c285bead9efd3324c1b0bb3397dad24c0d761d605738b2ce9e654e

Observation 1632dd9b-14eb-406e-aade-fc7be45ebf27 · outbound

This paper cites Counter-free automata.

Low rank MSO Counter-free automata

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:05:50.837188Z

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.

source=pdf_text observed=2026-08-08T05:05:50.558485Z digest=sha256:3a5cead9767dc3a7386971e37e6faefc3e20194dbb9c446334cc631cfcfffe51

Observation 711e6066-ed22-4473-9cd5-34c68ca77e9a · outbound

This paper cites Rank-width and vertex-minors.

Low rank MSO Rank-width and vertex-minors

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:05:50.822659Z

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.

source=pdf_text observed=2026-08-08T05:05:50.563307Z digest=sha256:c59e259dabdda8b29600d13108686e2a5ac91c290508ce8a9c435828f9fecbac

Observation de4c2c3a-a479-4278-bea1-5bee64ccd2f6 · outbound

This paper cites an unresolved cited work.

Low rank MSO Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-08T05:05:50.808268Z

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.

source=pdf_text observed=2026-08-08T05:05:50.567898Z digest=sha256:88fa2dee0cf46cf2dc781464058d605985e955b94d55f22da1c5b8b55ff10ffc

Observation 271c5950-e8b8-4b88-bcc3-99bf4ab5a1a3 · outbound

This paper cites Graph classes through the lens of logic.

Low rank MSO Graph classes through the lens of logic

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-08T05:05:50.572721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T05:05:50.572721Z digest=sha256:e82358f8e3bafdd61e9cf38d710570eb2924eb8a7fc644cf955342bfc37782ca

Observation ba9867c7-8ff6-430c-bffe-cb03be1316d3 · outbound

This paper cites Algorithms and data structures for first-order logic with connectivity under vertex failures.

Low rank MSO Algorithms and data structures for first-order logic with connectivity under vertex failures

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:05:50.793203Z

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.

source=pdf_text observed=2026-08-08T05:05:50.577990Z digest=sha256:56ad77ae693e71d34dc362b3505d645f23d6b18e88b5b60a6d6c1fc2246eb9bb

Observation b076f7fa-ea41-4740-a79e-86d8fc648d33 · outbound

This paper cites Undirected connectivity in log-space.

Low rank MSO Undirected connectivity in log-space

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:05:50.778034Z

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.

source=pdf_text observed=2026-08-08T05:05:50.582622Z digest=sha256:117d5f49d666ea13becd8cccc660a3fa1c0c4e54e9df7175c097ebf943e45e0d

Observation 22d9851e-8f26-41af-9582-8d91ab2318aa · outbound

This paper cites Flip-width: Cops and Robber on dense graphs.

Low rank MSO Flip-width: Cops and Robber on dense graphs

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:05:50.762272Z

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.

source=pdf_text observed=2026-08-08T05:05:50.587220Z digest=sha256:4dff32280b1e8e9bf9382d5cff321c52c2f1e15e2bd953a0c10a1c7eee3c5251

Observation 3b4d723d-380d-4115-8e9e-dcf0ed9409a5 · outbound

This paper cites First-order logic with connectivity operators.

Low rank MSO First-order logic with connectivity operators

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:05:50.746456Z

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.

source=pdf_text observed=2026-08-08T05:05:50.591910Z digest=sha256:5d874a1927872fe33e7b82cf06f261826cb8624dd6dcab32431211e7b11a63d2

Observation ff86faf5-df3d-450a-907b-31d8fb5cacb0 · outbound

This paper cites On finite monoids having only trivial subgroups.

Low rank MSO On finite monoids having only trivial subgroups

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:05:50.731168Z

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.

source=pdf_text observed=2026-08-08T05:05:50.597099Z digest=sha256:7d9c4ffb4e3d1652a8e09d4d887e05ab5af6cccd5da541a60f19e220be425570

Observation a59595c1-01a3-4ed3-a533-03445ef65ee7 · outbound

This paper cites The method of forced enumeration for nondeterministic automata.

Low rank MSO The method of forced enumeration for nondeterministic automata

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:05:50.716523Z

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.

source=pdf_text observed=2026-08-08T05:05:50.601622Z digest=sha256:b5ebb2d1b4ea7f8fc2339cc78eacd3801c39839ef540755d40b3b72100af0fe7

Observation b99bad40-09ed-4a17-be30-3183ae0d2ed7 · outbound

This paper cites k-NLC graphs and polynomial algorithms.

Low rank MSO k-NLC graphs and polynomial algorithms

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-08T05:05:50.701568Z

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.

source=pdf_text observed=2026-08-08T05:05:50.605660Z digest=sha256:ffcc4bcca0db991bb3cdbbe5a553e0094b5cbe2883ef15642f7d32a4affbd89a

Pith citing papers

Observation 0c9823cc-7bc1-4f23-a93b-429d32e46c6d · inbound

Moderately beyond clique-width: reduced component max-leaf and related parameters cites this paper.

Moderately beyond clique-width: reduced component max-leaf and related parameters Low rank MSO

Reference 9

Resolution
verified exact
arxiv_id, observed 2026-05-11T13:16:04.106952Z

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.

source=pdf_text observed=2026-05-10T02:09:57.456434Z digest=sha256:5b211e5a8741a648d3724ff1cb6a388e441d537327e8fa713948548e648b183b

Observation 70849e77-998d-4fdc-900b-2f9a4f795365 · inbound

A combinatorial framework for clustering graph states: Algorithms and hardness for rank-integrity cites this paper.

A combinatorial framework for clustering graph states: Algorithms and hardness for rank-integrity Low rank MSO

Reference 19

Resolution
unresolved
no resolver link, observed 2026-07-13T02:48:08.655303Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-07-13T02:48:08.655303Z digest=sha256:3775c3b0b0eec3036b4c1ff28725c2e44149243c13b038871c966c218f2992c9