Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T20:57:49.881665Z
Paper Citation Record · LEDGER
Topological Braiding of Bloch Eigenmodes Protected by Non-Abelian Quaternion Invariants
As of 13 August 2026, this Paper Citation Record lists 5 of 5 outbound references and 1 inbound Pith citation observation for arXiv:2507.01809.
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 2026-08-13T06:32:02.005865+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-05-09T23:04:18.195262Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-05-11T14:16:06.456353Z
Reference resolution
5 of 5 outbound references displayed
- verified exact1
- verified fuzzy0
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 1820083a-8fef-4b63-a84c-cc1a61a7ccb7 · outbound
This paper cites an unresolved cited work.
Topological Braiding of Bloch Eigenmodes Protected by Non-Abelian Quaternion Invariants Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:57:50.379570Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation f23ef5f7-aa0f-4e07-bc04-f534abbb7850 · outbound
This paper cites an unresolved cited work.
Topological Braiding of Bloch Eigenmodes Protected by Non-Abelian Quaternion Invariants Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:57:50.370773Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 7f2a58e9-cfe7-4fc8-84ea-615f43f702d5 · outbound
This paper cites The Fundamental Group of $SO(n)$ Via Quotients of Braid Groups.
Topological Braiding of Bloch Eigenmodes Protected by Non-Abelian Quaternion Invariants The Fundamental Group of $SO(n)$ Via Quotients of Braid Groups
Reference 3
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T20:57:50.124764Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation 469e93f8-a05e-4c7b-adb4-5115bb392e3f · outbound
This paper cites an unresolved cited work.
Topological Braiding of Bloch Eigenmodes Protected by Non-Abelian Quaternion Invariants Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:57:50.361117Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Observation fa0d2597-b071-416d-8e1c-fa48d4c9d0a4 · outbound
This paper cites an unresolved cited work.
Topological Braiding of Bloch Eigenmodes Protected by Non-Abelian Quaternion Invariants Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T20:57:50.256197Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.
Pith citing papers
Observation 1a93ab88-8977-4e86-8fdf-55139d24d7ac · inbound
Topological Word for Non-Abelian Topological Insulators cites this paper.
Topological Word for Non-Abelian Topological Insulators Topological Braiding of Bloch Eigenmodes Protected by Non-Abelian Quaternion Invariants
Reference 32
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T14:16:06.470350Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.