Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T22:36:59.084746Z
Paper Citation Record · LEDGER
The Thurston norm of graph manifolds
As of 19 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:2412.03437.
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 2026-08-18T06:34:40.430872+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
14 of 14 outbound references displayed
- verified exact2
- verified fuzzy5
- unresolved7
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 123cc34c-15cf-4027-aef8-2bf903ba56e5 · outbound
This paper cites Computing the twisted $L^2$-Euler characteristic.
The Thurston norm of graph manifolds Computing the twisted $L^2$-Euler characteristic
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T22:36:59.321001Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation fbe5dce2-9862-4812-b21f-afac46f0ce4a · outbound
This paper cites The Thurston norm of 2-bridge link complements.
The Thurston norm of graph manifolds The Thurston norm of 2-bridge link complements
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-08-11T22:36:59.224804Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f19c123e-321d-46b9-96c7-dac969fdb7c1 · outbound
This paper cites Foliations and the topology of 3–manifolds.
The Thurston norm of graph manifolds Foliations and the topology of 3–manifolds
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:37:00.374747Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0f1eb116-d1a8-428e-a2c0-0c600e2f91d3 · outbound
This paper cites The efficient certification of knottedness and Thurston norm.
The Thurston norm of graph manifolds The efficient certification of knottedness and Thurston norm
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:37:00.215009Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation f88648da-8b94-4239-8891-cda779bef4a7 · outbound
This paper cites an unresolved cited work.
The Thurston norm of graph manifolds Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T22:37:00.124665Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 35fc8b9f-374d-4ac6-9bda-41ad40304d27 · outbound
This paper cites An Introduction to Geometric Topology.
The Thurston norm of graph manifolds An Introduction to Geometric Topology
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:37:00.024745Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation bfa3da5a-ab7f-4c6c-8109-8650b3f1ff9a · outbound
This paper cites an unresolved cited work.
The Thurston norm of graph manifolds Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T22:36:59.929789Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 410a1fef-ccb4-4232-a1bb-04814c6561a9 · outbound
This paper cites an unresolved cited work.
The Thurston norm of graph manifolds Unresolved cited work
Reference 8
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T22:36:59.815330Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation d7045d80-f60d-4f54-b1a5-7f99687739dd · outbound
This paper cites an unresolved cited work.
The Thurston norm of graph manifolds Unresolved cited work
Reference 9
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T22:36:59.701371Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation c4773d9b-1a00-4935-90c3-042cb74ab5b3 · outbound
This paper cites an unresolved cited work.
The Thurston norm of graph manifolds Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T22:36:59.595323Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation e430b83b-c58e-4d8e-a7f5-6d7c7d9fdc0b · outbound
This paper cites an unresolved cited work.
The Thurston norm of graph manifolds Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T22:36:59.539682Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation a4cd8896-1f0c-4497-9164-adb10b5df5e4 · outbound
This paper cites an unresolved cited work.
The Thurston norm of graph manifolds Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T22:36:59.500102Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 81aa6bbe-d8a4-459f-a802-d8d2db5ef26d · outbound
This paper cites A Norm for the Homology of 3-Manifolds.
The Thurston norm of graph manifolds A Norm for the Homology of 3-Manifolds
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:36:59.464752Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Observation 0431239c-2640-48a8-8432-91db7cdf5b92 · outbound
This paper cites Gruppen mit Zentrum und 3-dimensionale Mannigfaltigkeiten.
The Thurston norm of graph manifolds Gruppen mit Zentrum und 3-dimensionale Mannigfaltigkeiten
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T22:36:59.422910Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.
Pith citing papers
No inbound Pith citation observations are available.