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Paper Citation Record · LEDGER

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

As of 7 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 2026-08-07T06:34:17.273281+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:d6be401549d6cde0f85adffc06614e882b062ff22dcaf10fb3c9c93572d0760a

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=sha256:4829b37ac2743aaffe941c34bb10d5bf72ec51f26516728917e4dae174aef6bd

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:c03ec6ad06d93dddf34798d62e496ef78b2788ed9ade380afee919a01d022a68

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=sha256:1dff971ed3bcb5cb34326d864ae0a942264e0bc69f3d0aa3ad752904accdecd4

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=sha256:4ac01b0c74e0bf109b2e006dd436ca5a33391a067fd8e31233159c2f98dcb44e

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=sha256:0b45640ea46929ae27dc0c75ee593988ca827478a5a52a0e2afc1001df43912a

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-05-21T21:35:48.647825Z digest=sha256:6e767a79e8098f83ed3c835c286164553f05588138831e5d41bb8aa3d1b11972

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 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-06-28T20:50:46.443047Z digest=sha256:faad2dd3c290b2de34777f07ce59c0975f599a28f514588b8b8ba45a11fd8357