Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:55:34.455820Z
Paper Citation Record · LEDGER
Unavoidable pivot-minors in graphs of large rank-depth
As of 11 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2507.12697.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
18 of 18 outbound references displayed
- verified exact1
- verified fuzzy6
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 932bac6e-661b-4aa9-9ef4-d348a26945b4 · outbound
This paper cites Farley, and Andrzej Proskurowski, Obstructions for linear rank-width at most 1, Discrete Appl.
Unavoidable pivot-minors in graphs of large rank-depth Farley, and Andrzej Proskurowski, Obstructions for linear rank-width at most 1, Discrete Appl
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:55:37.584232Z
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 c889f7bf-7d7b-424d-89f8-f35ec30b575a · outbound
This paper cites an unresolved cited work.
Unavoidable pivot-minors in graphs of large rank-depth Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:55:37.426316Z
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 7d2b39d4-4208-4338-90a0-dbc9b76e6b80 · outbound
This paper cites Methods Comput.
Unavoidable pivot-minors in graphs of large rank-depth Methods Comput
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:55:37.248131Z
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 34f3d2af-a697-4575-8160-7639aaa512f3 · outbound
This paper cites Sci., vol.
Unavoidable pivot-minors in graphs of large rank-depth Sci., vol
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:55:37.071780Z
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 88b354b9-ec82-4361-bc99-71c4bf2c0f17 · outbound
This paper cites an unresolved cited work.
Unavoidable pivot-minors in graphs of large rank-depth Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:55:36.881595Z
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 26d40705-7c31-48d3-933f-1dc01e9f158b · outbound
This paper cites Pascal Gollin, Kevin Hendrey, Dillon Mayhew, and Sang-il Oum, Obstructions for bounded branch-depth in matroids , Adv.
Unavoidable pivot-minors in graphs of large rank-depth Pascal Gollin, Kevin Hendrey, Dillon Mayhew, and Sang-il Oum, Obstructions for bounded branch-depth in matroids , Adv
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:55:36.646896Z
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 64806ad2-2471-4c03-b3b1-12d9cf08957c · outbound
This paper cites an unresolved cited work.
Unavoidable pivot-minors in graphs of large rank-depth Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:55:36.479121Z
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 9d922160-fbd9-4d72-8f60-083a56b45a67 · outbound
This paper cites Vertex-minor obstructions , European J.
Unavoidable pivot-minors in graphs of large rank-depth Vertex-minor obstructions , European J
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:55:36.295624Z
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 19421ca4-8ad6-4064-b7b2-bb80002ab7c4 · outbound
This paper cites an unresolved cited work.
Unavoidable pivot-minors in graphs of large rank-depth Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:55:36.134114Z
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 44ff785d-4e72-48da-8941-01818b21117c · outbound
This paper cites an unresolved cited work.
Unavoidable pivot-minors in graphs of large rank-depth Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:55:35.968021Z
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 7da0c88d-dee6-4f3d-b993-8f8954a2f040 · outbound
This paper cites an unresolved cited work.
Unavoidable pivot-minors in graphs of large rank-depth Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:55:35.829982Z
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 4a3834a4-862d-4572-a882-a38812cd53b9 · outbound
This paper cites 52nd Int.
Unavoidable pivot-minors in graphs of large rank-depth 52nd Int
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:55:35.664721Z
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 cf47d74a-3ccb-4bcc-b5e3-de23b005f849 · outbound
This paper cites Forbidden Induced Subgraphs for Bounded Shrub-Depth and the Expressive Power of MSO.
Unavoidable pivot-minors in graphs of large rank-depth Forbidden Induced Subgraphs for Bounded Shrub-Depth and the Expressive Power of MSO
Reference 13
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T16:55:34.621875Z
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 f9d4a0b9-25df-4bb7-bb9b-46c5b4c3e8d7 · outbound
This paper cites an unresolved cited work.
Unavoidable pivot-minors in graphs of large rank-depth Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:55:35.459666Z
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 29023667-3a96-494e-999c-09a9ec34bfb8 · outbound
This paper cites an unresolved cited work.
Unavoidable pivot-minors in graphs of large rank-depth Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:55:35.339814Z
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 4f5bccf4-29bb-4057-9f20-144b013dafa9 · outbound
This paper cites an unresolved cited work.
Unavoidable pivot-minors in graphs of large rank-depth Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:55:35.132078Z
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 bcc728a9-1dea-4f08-8c48-a39b17eecb8a · outbound
This paper cites an unresolved cited work.
Unavoidable pivot-minors in graphs of large rank-depth Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:55:34.961219Z
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 e0cecb67-8c35-4603-b662-fa0ebf296f1e · outbound
This paper cites an unresolved cited work.
Unavoidable pivot-minors in graphs of large rank-depth Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:55:34.810306Z
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.