Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T22:23:20.337150Z
Paper Citation Record · LEDGER
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes
As of 14 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 1 inbound Pith citation observation for arXiv:2506.22025.
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 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-01T00:50:07.961078Z
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
23 of 23 outbound references displayed
- verified exact2
- verified fuzzy5
- unresolved14
- parse uncertain0
- malformed identifier2
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 40d18aa9-7210-4e02-beb8-efe6bc46bd51 · outbound
This paper cites Kitaev, Annals of Physics 303, 2 (2003).
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Kitaev, Annals of Physics 303, 2 (2003)
Reference 1
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:23:18.677443Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation a4ee7b1c-215a-42df-b832-416e3534fe25 · outbound
This paper cites This implies that if g and h are non- trivial and different, their projective representations an- ticommute: X α g X α h = −X α h X α g , e ̸= g ̸= h ̸= e.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes This implies that if g and h are non- trivial and different, their projective representations an- ticommute: X α g X α h = −X α h X α g , e ̸= g ̸= h ̸= e
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:23:22.675808Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b5926a96-691a-4805-a663-d807108ca120 · outbound
This paper cites A useful way to labeling the non-trivial irreps is by assigning χ ≡ ˆg ̸= 1 if χ(g) = 1.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes A useful way to labeling the non-trivial irreps is by assigning χ ≡ ˆg ̸= 1 if χ(g) = 1
Reference 3
- Resolution
- malformed identifier
- doi_truncated, observed 2026-08-06T22:23:22.510747Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 57da1a95-b90d-463d-9612-e468840b7eac · outbound
This paper cites Preskill, Chapter 9.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Preskill, Chapter 9
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:23:22.348976Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1e3417c9-f3c9-46f6-b739-1f7f6ac77b13 · outbound
This paper cites an unresolved cited work.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:23:22.199162Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5a888e2f-8636-4d1d-87e6-cfb26859ef71 · outbound
This paper cites Vidal, S.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Vidal, S
Reference 6
- Resolution
- verified exact
- doi, observed 2026-08-06T22:23:20.520030Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0a7b236d-cc2d-4194-a62e-b8d4745046bb · outbound
This paper cites Iqbal and N.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Iqbal and N
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:23:21.989745Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 2f5571ff-c637-42e2-b027-f8b61b82930a · outbound
This paper cites Vijay, J.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Vijay, J
Reference 8
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:23:19.146402Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 2a07e50d-2852-4176-a8ac-6044b88ce38c · outbound
This paper cites an unresolved cited work.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Unresolved cited work
Reference 9
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:23:19.233542Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation e7aca35c-3b11-40fc-b288-068f288ca926 · outbound
This paper cites an unresolved cited work.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:23:21.852791Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation a96bddf7-6973-4165-9776-4a27da6c1eea · outbound
This paper cites Kitaev and L.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Kitaev and L
Reference 11
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:23:19.385278Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 62b13525-387b-45d8-9b66-9979b55642e5 · outbound
This paper cites Anyon Theory and Topological Frustration of High-Efficiency Quantum Low-Density Parity-Check Codes.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Anyon Theory and Topological Frustration of High-Efficiency Quantum Low-Density Parity-Check Codes
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:23:19.444516Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 69158d3d-daad-4b32-8f8e-477bdd0bf56f · outbound
This paper cites an unresolved cited work.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:23:21.719096Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d9015578-21c5-43ad-9439-bae974603c1c · outbound
This paper cites Garre-Rubio, Nat.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Garre-Rubio, Nat
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:23:21.557534Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 295cef19-5d98-4432-b39a-89e50f4f96e4 · outbound
This paper cites Bombin, Physical Review Letters 105, 10.1103/phys- revlett.105.030403 (2010).
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Bombin, Physical Review Letters 105, 10.1103/phys- revlett.105.030403 (2010)
Reference 15
- Resolution
- malformed identifier
- no resolver link, observed 2026-08-06T22:23:19.670504Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 8aafb254-82c8-43cf-b145-df6c09374101 · outbound
This paper cites Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Renormalization algorithms for Quantum-Many Body Systems in two and higher dimensions
Reference 16
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:23:19.740812Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 338fd6eb-a78a-4290-bc61-f7bc259dc39d · outbound
This paper cites an unresolved cited work.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:23:21.409125Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 431ed41a-8c0d-4532-82ea-ffcdf46462a5 · outbound
This paper cites Schuch, I.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Schuch, I
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T22:23:21.199258Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4760a427-49f5-4ae4-8df5-f0158b3ddef6 · outbound
This paper cites an unresolved cited work.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:23:21.016111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation de9bb72e-f06f-4791-9245-8008132d38e4 · outbound
This paper cites an unresolved cited work.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Unresolved cited work
Reference 20
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T22:23:20.848927Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3689da92-f814-4883-8c3e-44983d170bbe · outbound
This paper cites Gauging Quantum Phases: A Matrix Product State Approach.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Gauging Quantum Phases: A Matrix Product State Approach
Reference 21
- Resolution
- verified exact
- local_arxiv, observed 2026-08-06T22:23:20.656643Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation dda623a4-ec42-4b70-93d0-1e7da97128c5 · outbound
This paper cites an unresolved cited work.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Unresolved cited work
Reference 22
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:23:20.249404Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 38621196-3185-4490-9005-b4669e9457c4 · outbound
This paper cites Gregor, D.
Dipoles and Anyonic Directional Confinement via Twisted Toric Codes Gregor, D
Reference 23
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T22:23:20.337150Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Pith citing papers
Observation 5668910c-b64e-4b37-8a6c-d8decc82c074 · inbound
Iterative Gauging is Deconstruction cites this paper.
Iterative Gauging is Deconstruction Dipoles and Anyonic Directional Confinement via Twisted Toric Codes
Reference 6
- Resolution
- unresolved
- no resolver link, observed 2026-08-01T00:50:07.961078Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.