Paper Citation Record · LEDGER

A Dichotomy Theorem for Ordinal Ranks in MSO

As of 23 August 2026, this Paper Citation Record lists 13 of 13 outbound references and 0 inbound Pith citation observations for arXiv:2501.05385.

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

pith.paper-citation-record.v1
2501.05385 v4

Coverage vector

measured 13 of 13 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T21:26:04.007754Z

measured 13 of 13 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+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

13 of 13 outbound references displayed

verified exact7
verified fuzzy1
unresolved3
parse uncertain0
malformed identifier2
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4a33f8f7-504a-494f-b214-e80962ebe8ac · outbound

This paper cites [Fon08] Ga¨ elle Fontaine.

A Dichotomy Theorem for Ordinal Ranks in MSO [Fon08] Ga¨ elle Fontaine

Reference 9

Resolution: verified exact; doi, observed 2026-08-10T21:26:04.093372Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation a5d675ae-d994-47d5-a698-a945d851a526 · outbound

This paper cites Mostowski Index via extended register games.

A Dichotomy Theorem for Ordinal Ranks in MSO Mostowski Index via extended register games

Reference 10

Resolution: verified exact; local_arxiv, observed 2026-08-10T21:26:04.081806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation bd2b1178-7573-49ae-93ff-f8059d634634 · outbound

This paper cites [SW16] Micha l Skrzypczak and Igor Walukiewicz.

A Dichotomy Theorem for Ordinal Ranks in MSO [SW16] Micha l Skrzypczak and Igor Walukiewicz

Reference 13

Resolution: verified exact; doi, observed 2026-08-10T21:26:04.041846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 423e7a03-a9ea-4f4f-b8d9-640fbcbdfd7a · outbound

This paper cites [Mos91] Andrzej W.

A Dichotomy Theorem for Ordinal Ranks in MSO [Mos91] Andrzej W

Reference 1983

Resolution: unresolved; no resolver link, observed 2026-08-10T21:26:03.998265Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 42fc5cff-4b32-41ba-bc8a-7a39e139b9d3 · outbound

This paper cites [NPS25] Damian Niwi´ nski, Pawe l Parys, and Micha l Skrzypczak.

A Dichotomy Theorem for Ordinal Ranks in MSO [NPS25] Damian Niwi´ nski, Pawe l Parys, and Micha l Skrzypczak

Reference 1991

Resolution: verified exact; doi, observed 2026-08-10T21:26:04.055218Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4497faa1-9e6e-4f4b-abc0-749e50eb0b1a · outbound

This paper cites [BW18] Julian C.

A Dichotomy Theorem for Ordinal Ranks in MSO [BW18] Julian C

Reference 1998

Resolution: verified exact; doi, observed 2026-08-10T21:26:04.118099Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 4b7d4806-579e-49dc-bf91-649ea8c0dffa · outbound

This paper cites Bradfield, Jacques Duparc, and Sandra Quickert.

A Dichotomy Theorem for Ordinal Ranks in MSO Bradfield, Jacques Duparc, and Sandra Quickert

Reference 2001

Resolution: verified exact; doi, observed 2026-08-10T21:26:04.131151Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d4a4d48c-a33a-4336-9537-719d193bade4 · outbound

This paper cites [BL69] Julius R.

A Dichotomy Theorem for Ordinal Ranks in MSO [BL69] Julius R

Reference 2010

Resolution: malformed identifier; raw_fallback, observed 2026-08-10T21:26:04.298246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation d26f5936-8046-48db-907e-8f48efde3e97 · outbound

This paper cites Games on Graphs: From Logic and Automata to Algorithms.

A Dichotomy Theorem for Ordinal Ranks in MSO Games on Graphs: From Logic and Automata to Algorithms

Reference 2011

Resolution: malformed identifier; no resolver link, observed 2026-08-10T21:26:03.981452Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation de2b5c7f-f266-4eb3-8db4-eb5af383d257 · outbound

This paper cites [AN01] Andr´ e Arnold and Damian Niwi´ nski.Rudiments of mu-calculus.

A Dichotomy Theorem for Ordinal Ranks in MSO [AN01] Andr´ e Arnold and Damian Niwi´ nski.Rudiments of mu-calculus

Reference 2013

Resolution: verified exact; doi, observed 2026-08-10T21:26:04.145471Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Observation 7e8b6ee4-e777-464f-bb9b-1dbc4ab02c5f · outbound

This paper cites Tree automata, mu-calculus and determinacy.

A Dichotomy Theorem for Ordinal Ranks in MSO Tree automata, mu-calculus and determinacy

Reference 2016

Resolution: unresolved; no resolver link, observed 2026-08-10T21:26:03.977366Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 6982e134-f6d4-411e-864e-4f79046eb0e9 · outbound

This paper cites Games on Graphs: From Logic and Automata to Algorithms.

A Dichotomy Theorem for Ordinal Ranks in MSO Games on Graphs: From Logic and Automata to Algorithms

Reference 2023

Resolution: unresolved; no resolver link, observed 2026-08-10T21:26:03.985484Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c44a1e55-6af5-4f8b-896c-8467df8e8981 · outbound

This paper cites [AL13] Bahareh Afshari and Graham E.

A Dichotomy Theorem for Ordinal Ranks in MSO [AL13] Bahareh Afshari and Graham E

Reference 2024

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T21:26:04.310498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

Pith citing papers

No inbound Pith citation observations are available.