Paper Citation Record · LEDGER

Amalgamations along surfaces with boundary in a handlebody

As of 8 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.

pith.paper-citation-record.v1
2505.22530 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:22:18.983097Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

No inbound Pith citation observations are available.