Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-12T10:46:31.476753Z
Paper Citation Record · LEDGER
Octagon and tropical octagon yield braid invariants
As of 19 August 2026, this Paper Citation Record lists 7 of 7 outbound references and 0 inbound Pith citation observations for arXiv:2411.18991.
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 2026-08-19T06:32:44.657259+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
7 of 7 outbound references displayed
- verified exact5
- verified fuzzy0
- unresolved2
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 2e1d8f86-9d3e-43ae-b1d9-ae52a935bb21 · outbound
This paper cites The Multidimensional Cube Recurrence.
Octagon and tropical octagon yield braid invariants The Multidimensional Cube Recurrence
Reference 1
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T10:46:31.582174Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation 95a70213-d853-49a1-93ab-33ad1962a3e8 · outbound
This paper cites Incidences and tilings.
Octagon and tropical octagon yield braid invariants Incidences and tilings
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-12T10:46:31.455923Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation b1369e15-7890-495b-a4e8-6bd145113a2b · outbound
This paper cites an unresolved cited work.
Octagon and tropical octagon yield braid invariants Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-12T10:46:31.593524Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation ddaf61ca-b748-4565-aa0f-754cded647bd · outbound
This paper cites The groups $G_{n}^{k}$ and $2n$-gon tilings.
Octagon and tropical octagon yield braid invariants The groups $G_{n}^{k}$ and $2n$-gon tilings
Reference 4
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T10:46:31.557302Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d7228fd6-87ca-431c-8d3c-3abb0046e421 · outbound
This paper cites Braids act on configurations of lines.
Octagon and tropical octagon yield braid invariants Braids act on configurations of lines
Reference 5
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T10:46:31.543004Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation d3ef27dc-936d-43d7-8693-b59f7554bb50 · outbound
This paper cites The photography method: solving pentagon equation.
Octagon and tropical octagon yield braid invariants The photography method: solving pentagon equation
Reference 6
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T10:46:31.528409Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Observation b6528a96-22f3-4098-a6dc-b074ff7b9a12 · outbound
This paper cites Pentagon equations, Delaunay triangulations and pure braid group invariant.
Octagon and tropical octagon yield braid invariants Pentagon equations, Delaunay triangulations and pure braid group invariant
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-12T10:46:31.512482Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.
Pith citing papers
No inbound Pith citation observations are available.