Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-07T13:22:18.983097Z
Paper Citation Record · LEDGER
Amalgamations along surfaces with boundary in a handlebody
As of 7 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2505.22530.
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 2026-08-07T06:34:17.273281+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
21 of 21 outbound references displayed
- verified exact0
- verified fuzzy11
- unresolved10
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 54e83c66-3a09-4f97-a0c9-e051b1268b32 · outbound
This paper cites an unresolved cited work.
Amalgamations along surfaces with boundary in a handlebody Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:22:23.000330Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 172b601d-b724-44f0-aed7-aeb99773f050 · outbound
This paper cites an unresolved cited work.
Amalgamations along surfaces with boundary in a handlebody Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:22:22.795503Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 76c8ed39-a0ba-4bd0-86cb-e3bb38b701e0 · outbound
This paper cites an unresolved cited work.
Amalgamations along surfaces with boundary in a handlebody Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:22:22.542876Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation bf9e16ae-acf9-42c2-9ac8-db01b3f4c8c9 · outbound
This paper cites Gordon, On primitive sets of loops in the boundary of a handlebody.
Amalgamations along surfaces with boundary in a handlebody Gordon, On primitive sets of loops in the boundary of a handlebody
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:22:22.313885Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 72788bc4-dcf4-40d0-9cba-49eba9b6eaa2 · outbound
This paper cites Hatcher, Notes on Basic 3-Manifold Topology, version 2023, 75 pp.
Amalgamations along surfaces with boundary in a handlebody Hatcher, Notes on Basic 3-Manifold Topology, version 2023, 75 pp
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:22:22.095800Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 6dc8ad19-6c59-4231-add8-a1acf73c6c50 · outbound
This paper cites Hempel, 3-Manifolds, Annals of Mathematical Studies, no.
Amalgamations along surfaces with boundary in a handlebody Hempel, 3-Manifolds, Annals of Mathematical Studies, no
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:22:21.893883Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d4f703d3-f7df-4af8-8b13-dc11e6086df3 · outbound
This paper cites Jaco, Lectures on three manifold topology, CBMS Regional Conference Series in Mathematics,.
Amalgamations along surfaces with boundary in a handlebody Jaco, Lectures on three manifold topology, CBMS Regional Conference Series in Mathematics,
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:22:21.611420Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d0f8efe4-2bdd-4b27-a2ae-709ca7cbc228 · outbound
This paper cites Jaco, Adding a 2-handle to a 3-manifold: an application to property R.
Amalgamations along surfaces with boundary in a handlebody Jaco, Adding a 2-handle to a 3-manifold: an application to property R
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:22:21.376038Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation d32b3f80-95b6-4b13-9f95-1d85d613fbd6 · outbound
This paper cites Lei, Some properties of an annulus sum of 3-manifolds.Northeast Math J, 10:3 (1994), 325–329.
Amalgamations along surfaces with boundary in a handlebody Lei, Some properties of an annulus sum of 3-manifolds.Northeast Math J, 10:3 (1994), 325–329
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:22:21.081256Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 1e1b2755-ed58-4945-8ece-bdb829e96dab · outbound
This paper cites an unresolved cited work.
Amalgamations along surfaces with boundary in a handlebody Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:22:20.861786Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation dee8227b-2b67-4773-a46b-bf210e218273 · outbound
This paper cites an unresolved cited work.
Amalgamations along surfaces with boundary in a handlebody Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:22:20.702758Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 2e3411fd-6578-4bdb-b5d9-eb4b079e252f · outbound
This paper cites Li, Heegaard surfaces and the distance of amalgamation, Geometry and Topology 14:4 (2010), 1871–1919.
Amalgamations along surfaces with boundary in a handlebody Li, Heegaard surfaces and the distance of amalgamation, Geometry and Topology 14:4 (2010), 1871–1919
Reference 12
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:22:20.583418Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation fd57ee5f-2ca5-4c3a-a1d5-0d93c6c259bc · outbound
This paper cites Liang, F.
Amalgamations along surfaces with boundary in a handlebody Liang, F
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:22:20.442885Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation acf9de16-c88a-40b1-bfa3-cccaf2537d23 · outbound
This paper cites Liang, F.
Amalgamations along surfaces with boundary in a handlebody Liang, F
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:22:20.277764Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 31a5da89-7b74-4ac7-8029-b5ca9a372e54 · outbound
This paper cites an unresolved cited work.
Amalgamations along surfaces with boundary in a handlebody Unresolved cited work
Reference 15
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:22:20.129834Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation c7556737-1c23-4841-9564-2e838245f62a · outbound
This paper cites an unresolved cited work.
Amalgamations along surfaces with boundary in a handlebody Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:22:19.951223Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a3d440c7-e34b-4414-b0eb-922da0757551 · outbound
This paper cites an unresolved cited work.
Amalgamations along surfaces with boundary in a handlebody Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:22:19.814352Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 932b429d-d496-4c73-a30b-f1e0de2861ce · outbound
This paper cites Schultens, Additivity of tunnel number for small knots , Commentarii Mathematici Helvetici, 75(3) (2000), 353–367.
Amalgamations along surfaces with boundary in a handlebody Schultens, Additivity of tunnel number for small knots , Commentarii Mathematici Helvetici, 75(3) (2000), 353–367
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:22:19.617761Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation 47d7cb13-586d-490b-9a8c-b735a02b227e · outbound
This paper cites Waldhausen, Heegaard-Zerlegungen der 3-sph¨ are.Topology,7:2 (1968),195–203.
Amalgamations along surfaces with boundary in a handlebody Waldhausen, Heegaard-Zerlegungen der 3-sph¨ are.Topology,7:2 (1968),195–203
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-07T13:22:19.476371Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation ac9ca51e-bcfd-4071-9012-122f4d51c01e · outbound
This paper cites an unresolved cited work.
Amalgamations along surfaces with boundary in a handlebody Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:22:19.287703Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Observation a14cd732-0f3f-49b6-a72d-01c201b7c774 · outbound
This paper cites an unresolved cited work.
Amalgamations along surfaces with boundary in a handlebody Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-07T13:22:19.123217Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.
Pith citing papers
No inbound Pith citation observations are available.