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Paper Citation Record · LEDGER

Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I

As of 9 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 8 inbound Pith citation observations for arXiv:2408.05266.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2408.05266 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 8 of 8 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 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:09:35.842627Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-28T20:52:37.266598Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation d848ecce-8771-4018-95e6-dccc9a052bc2 · inbound

Twisted Partition Functions as Order Parameters cites this paper.

Twisted Partition Functions as Order Parameters Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-07T15:09:35.842627Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:09:35.842627Z digest=sha256:902abcdcd19239ed5f15ea6048a0cce0ee58b0742b8d24a0c14c799d1dd5fa60

Observation 150c4ab8-7caa-4331-91f4-bf126be46894 · inbound

SymTFT Approach for Mixed States with Non-Invertible Symmetries cites this paper.

SymTFT Approach for Mixed States with Non-Invertible Symmetries Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I

Reference 31

Resolution
unresolved
no resolver link, observed 2026-08-06T19:35:34.669423Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:35:34.669423Z digest=sha256:93a4022fef5a7a9bbb01402a190d7f5d28083cb37503d71262c90663f476e9fb

Observation d55f3e27-bb03-4fe7-87ac-dbc17098fdb3 · inbound

Mutual Influence of Symmetries and Topological Field Theories cites this paper.

Mutual Influence of Symmetries and Topological Field Theories Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I

Reference 2024

Resolution
unresolved
no resolver link, observed 2026-08-06T19:17:33.368935Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:17:33.368935Z digest=sha256:a55806d42dea69cefb20a7f83fd7d150252a4d7b0d0a6ad0e9441d37f1eec20d

Observation 6772125e-dbc0-440a-8c0d-153f4fd84fe3 · inbound

Symmetry TFTs for Continuous Spacetime Symmetries cites this paper.

Symmetry TFTs for Continuous Spacetime Symmetries Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-04T21:32:53.704371Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:32:53.704371Z digest=sha256:23df426ee0f45419e4cbd4c248b8f34b8ca0fa89dc5415e2fb116d545d623b1c

Observation 332680ea-8074-4053-b2c1-8fa0c6f90eca · inbound

SymTFT for Continuous Symmetries: Non-linear Realizations and Spontaneous Breaking cites this paper.

SymTFT for Continuous Symmetries: Non-linear Realizations and Spontaneous Breaking Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I

Reference 89

Resolution
unresolved
no resolver link, observed 2026-08-04T17:58:04.689107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T17:58:04.689107Z digest=sha256:bb24d059d9be83a51b05df0ba40a116bd1da1949fbb5c78ead97d345ef968ef5

Observation c8512ac7-803d-4c91-bbfa-19e7968f9d31 · inbound

Information Loss in Generalized Symmetry Breaking cites this paper.

Information Loss in Generalized Symmetry Breaking Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-04T13:54:32.704742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T13:54:32.704742Z digest=sha256:8b88af50f8d3f344ce369bf318248107d322167a14f07ed2eb65da4aaed29ae4

Observation 24d43e34-4111-44db-ae68-3d1d064e4ce5 · inbound

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle cites this paper.

Transition between 2D Symmetry Protected Topological Phases on a Klein Bottle Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I

Reference 35

Resolution
verified exact
arxiv_id, observed 2026-05-21T21:40:40.983815Z

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.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:07e253742d7070f683f6a6deed07950ad9d1f760469b1589d30d14fdfd04d241

Observation 6239ff09-f785-4762-ac7f-f65929f470fe · inbound

Twin Algebras: Condensable Algebras beyond Anyons cites this paper.

Twin Algebras: Condensable Algebras beyond Anyons Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I

Reference 82

Resolution
metadata mismatch
arxiv_id, observed 2026-06-28T20:52:37.268343Z

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.

source=pdf_text observed=2026-06-28T20:50:46.443047Z digest=sha256:c5aaebf66c0f13673cde9549eeaa78318d3a3f9f7b0b23bcf0351d7295b910e8