Paper Citation Record · LEDGER

Flipping and Forking

As of 12 August 2026, this Paper Citation Record lists 16 of 16 outbound references and 1 inbound Pith citation observation for arXiv:2505.16745.

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

pith.paper-citation-record.v1
2505.16745 v1

Coverage vector

measured 16 of 16 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:05:21.310980Z

measured 17 of 17 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T08:10:14.148558Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

16 of 16 outbound references displayed

verified exact1
verified fuzzy6
unresolved8
parse uncertain0
malformed identifier1
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 8f8ef7c4-9816-40f4-bcc0-eb9d7f8a8a75 · outbound

This paper cites an unresolved cited work.

Flipping and Forking Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:05:22.756424Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7ca5a2f3-1926-479b-9834-d138a95c5765 · outbound

This paper cites 17 Jan Dreier, Nikolas Mählmann, and Szymon Toruńczyk.

Flipping and Forking 17 Jan Dreier, Nikolas Mählmann, and Szymon Toruńczyk

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-07T15:05:20.128404Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a6307140-01d0-48d6-b766-8517db016099 · outbound

This paper cites an unresolved cited work.

Flipping and Forking Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:05:23.282813Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ff161850-744b-4433-9903-608c803b49f6 · outbound

This paper cites Moreover, for everyv∈H\G,.

Flipping and Forking Moreover, for everyv∈H\G,

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:05:23.383394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation fc3835eb-7976-494d-b119-e14705b59960 · outbound

This paper cites 28 Flipping and Forking Proof.

Flipping and Forking 28 Flipping and Forking Proof

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:05:23.183756Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e8bba163-4f98-466a-82fa-53aae506f318 · outbound

This paper cites an unresolved cited work.

Flipping and Forking Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:05:23.019465Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 923f6d29-befa-4900-8423-1235e5956529 · outbound

This paper cites an unresolved cited work.

Flipping and Forking Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:05:22.921533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation da9bd3f1-3e06-4e66-8214-6eed5f626e2c · outbound

This paper cites an unresolved cited work.

Flipping and Forking Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:05:22.671394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 183234c2-89bf-4a9a-911a-c8ea106ab7d0 · outbound

This paper cites an unresolved cited work.

Flipping and Forking Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T15:05:22.603249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 04eab503-8ff9-4cdb-b0d1-13daa5c3c292 · outbound

This paper cites x and y are connected by a path of length at mostr which avoids all vertices fromS.

Flipping and Forking x and y are connected by a path of length at mostr which avoids all vertices fromS

Reference 12

Resolution: malformed identifier; raw_fallback, observed 2026-08-07T15:05:22.445256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 39281c9c-ef23-4281-bd45-374f1be3bdbb · outbound

This paper cites We will refer to these parts as(M ¯x,S′)-classes and (M ¯y,S′)-classes respectively.

Flipping and Forking We will refer to these parts as(M ¯x,S′)-classes and (M ¯y,S′)-classes respectively

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:05:22.316617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6d103b0e-ec17-42d8-8c7b-97b09317d15c · outbound

This paper cites In the first case we say that the pair(A,B ) is not flipped and in the other we say that this pair is flipped.

Flipping and Forking In the first case we say that the pair(A,B ) is not flipped and in the other we say that this pair is flipped

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:05:22.242343Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0d46d346-3d0c-4ccf-a824-930b1387f57c · outbound

This paper cites Do the same for each(M ¯y,S′)-class that is flipped.

Flipping and Forking Do the same for each(M ¯y,S′)-class that is flipped

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:05:22.136433Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ce2ba5e2-e53f-40c2-b1a3-879db1370cb3 · outbound

This paper cites We say that a structureN′ is asyntacticS-flip of N if it can be obtained fromN by a sequence of such operations.

Flipping and Forking We say that a structureN′ is asyntacticS-flip of N if it can be obtained fromN by a sequence of such operations

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:05:21.980754Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0c1f6ae6-7474-4407-a959-d6996a3110ff · outbound

This paper cites 32 Klaus-Peter Podewski and Martin Ziegler.

Flipping and Forking 32 Klaus-Peter Podewski and Martin Ziegler

Reference 1986

Resolution: unresolved; no resolver link, observed 2026-08-07T15:05:20.261306Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ae7b7ec6-6cfe-413b-8cb6-77033189422b · outbound

This paper cites 6 Édouard Bonnet, Eun Jung Kim, Stéphan Thomassé, and Rémi Watrigant.

Flipping and Forking 6 Édouard Bonnet, Eun Jung Kim, Stéphan Thomassé, and Rémi Watrigant

Reference 2024

Resolution: verified exact; raw_fallback, observed 2026-08-07T15:05:21.736545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

Observation 7bd0d798-8810-4086-8267-d0601920df42 · inbound

Neighborhood Complexity and Radius-1 Merge-Width in Monadically Dependent Graph Classes cites this paper.

Neighborhood Complexity and Radius-1 Merge-Width in Monadically Dependent Graph Classes Flipping and Forking

Reference 30

Resolution: unresolved; no resolver link, observed 2026-07-14T08:10:14.148558Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.