Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-14T13:25:06.938597Z
Paper Citation Record · LEDGER
The relative $\mathcal{L}$-invariant of a compact $4$-manifold
As of 16 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:1908.05371.
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 2026-08-16T06:30:59.297886+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 exact2
- verified fuzzy13
- unresolved3
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 4c2cfdbb-e086-45cb-b212-6dfe4f20a739 · outbound
This paper cites Diagrams of *-Trisections.
The relative $\mathcal{L}$-invariant of a compact $4$-manifold Diagrams of *-Trisections
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:25:06.850036Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 16a87697-f01a-4282-b5f4-4d575dbfec39 · outbound
This paper cites an unresolved cited work.
The relative $\mathcal{L}$-invariant of a compact $4$-manifold Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-14T13:25:07.277739Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 0c57b1dd-2a70-4969-b68d-3513f1a1163a · outbound
This paper cites Castro, David T.
The relative $\mathcal{L}$-invariant of a compact $4$-manifold Castro, David T
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:07.262457Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 8c833820-2e35-41d2-ac2f-30d25d9717ef · outbound
This paper cites Castro, David T.
The relative $\mathcal{L}$-invariant of a compact $4$-manifold Castro, David T
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:07.248040Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 5af4a49e-cd80-4e39-95fa-94ddd7a04d7e · outbound
This paper cites Castro and Burak Ozbagci.
The relative $\mathcal{L}$-invariant of a compact $4$-manifold Castro and Burak Ozbagci
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:07.232530Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 386ef360-fd72-4f49-8344-f120bf61ddde · outbound
This paper cites The arc complex and contact geometry: nondestabilizable planar open book decompositions of the tight contact 3-sphere.
The relative $\mathcal{L}$-invariant of a compact $4$-manifold The arc complex and contact geometry: nondestabilizable planar open book decompositions of the tight contact 3-sphere
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:07.217534Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation bfea5431-5cf0-4b0f-97c8-0a5400b80ec5 · outbound
This paper cites Cusp geometry of fibered 3-manifolds.
The relative $\mathcal{L}$-invariant of a compact $4$-manifold Cusp geometry of fibered 3-manifolds
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:07.200930Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 4f422d3b-31fc-48c6-a21b-3de7319b5807 · outbound
This paper cites On the stable equivalence of open books in three-manifolds.
The relative $\mathcal{L}$-invariant of a compact $4$-manifold On the stable equivalence of open books in three-manifolds
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:07.183574Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b9634f5a-fef7-4d1b-981f-42ecdc9d58f3 · outbound
This paper cites Trisecting 4-manifolds.
The relative $\mathcal{L}$-invariant of a compact $4$-manifold Trisecting 4-manifolds
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:07.166702Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation a2d98d89-6879-4eb4-9772-07d094426587 · outbound
This paper cites Hatcher and W.
The relative $\mathcal{L}$-invariant of a compact $4$-manifold Hatcher and W
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:07.148835Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 35291aaa-4986-461f-8ccc-97ae2f891e85 · outbound
This paper cites Trisections of surface complements and the Price twist.
The relative $\mathcal{L}$-invariant of a compact $4$-manifold Trisections of surface complements and the Price twist
Reference 11
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T13:25:07.025312Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation cba9b6ed-a528-4b99-82de-05857e6016a2 · outbound
This paper cites A new invariant of 4-manifolds.
The relative $\mathcal{L}$-invariant of a compact $4$-manifold A new invariant of 4-manifolds
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:07.131283Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 9678b1e2-2232-4cbd-8bcb-5c9db47f34c5 · outbound
This paper cites A note on 4-dimensional handlebodies.
The relative $\mathcal{L}$-invariant of a compact $4$-manifold A note on 4-dimensional handlebodies
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:07.114876Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 25fd9454-41b7-4428-a120-bf2055668afd · outbound
This paper cites Trisections of non-orientable 4-manifolds.
The relative $\mathcal{L}$-invariant of a compact $4$-manifold Trisections of non-orientable 4-manifolds
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-14T13:25:06.918381Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5101a8c2-4c3e-43fa-aca2-2a86473936e1 · outbound
This paper cites Stipsicz.
The relative $\mathcal{L}$-invariant of a compact $4$-manifold Stipsicz
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:07.098070Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b5552c88-2189-4335-93d0-31e46a6a1926 · outbound
This paper cites Special moves for open book decompositions of 3-manifolds.
The relative $\mathcal{L}$-invariant of a compact $4$-manifold Special moves for open book decompositions of 3-manifolds
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:07.077640Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation 397c32ff-c335-4727-82eb-789a5b4b5a2b · outbound
This paper cites Fibrations of 3-manifolds and asymptotic translation length in the arc complex.
The relative $\mathcal{L}$-invariant of a compact $4$-manifold Fibrations of 3-manifolds and asymptotic translation length in the arc complex
Reference 17
- Resolution
- verified exact
- local_arxiv, observed 2026-08-14T13:25:06.984378Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Observation b3b4d6ef-e3d8-4bdb-a8f0-a747d525f500 · outbound
This paper cites Heegaard- Z erlegungen der 3 - S ph\"are.
The relative $\mathcal{L}$-invariant of a compact $4$-manifold Heegaard- Z erlegungen der 3 - S ph\"are
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-14T13:25:07.060900Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.
Pith citing papers
No inbound Pith citation observations are available.