Paper Citation Record · LEDGER

Gapped Phases with Non-Invertible Symmetries: (1+1)d

As of 18 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 26 inbound Pith citation observations for arXiv:2310.03784.

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

pith.paper-citation-record.v1
2310.03784 v5

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 26 of 26 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:42:36.078661Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-06-28T20:52:37.463053Z

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 3e4a042b-649a-4b26-b052-dcbccbc3cfd1 · inbound

Non-Invertible Anyon Condensation and Level-Rank Dualities cites this paper.

Non-Invertible Anyon Condensation and Level-Rank Dualities Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 59

Resolution: verified exact; arxiv_id, observed 2026-05-24T05:43:56.797782Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c118b506-05a1-4f2e-a9db-d3e776cadc13 · inbound

Lattice Models for Phases and Transitions with Non-Invertible Symmetries cites this paper.

Lattice Models for Phases and Transitions with Non-Invertible Symmetries Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 29

Resolution: verified exact; arxiv_id, observed 2026-05-24T01:18:42.616193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 94b9ce68-d434-42c5-b3dc-f2c73dd4e66d · inbound

Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT cites this paper.

Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 34

Resolution: metadata mismatch; arxiv_id, observed 2026-05-23T22:03:30.484852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation c4274397-c012-4c18-b1b5-37952562d175 · inbound

The Higher Structure of Symmetries of Axion-Maxwell Theory cites this paper.

The Higher Structure of Symmetries of Axion-Maxwell Theory Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 88

Resolution: unresolved; no resolver link, observed 2026-08-12T20:28:55.921571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ea1de775-6c49-43a3-95d6-5a425a7bb7ef · inbound

SymTFT Approach to 2D Orbifold Groupoids: `t Hooft Anomalies, Gauging, and Partition Functions cites this paper.

SymTFT Approach to 2D Orbifold Groupoids: `t Hooft Anomalies, Gauging, and Partition Functions Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-12T11:41:19.475150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c13ccc7d-920f-438e-863c-3bef10a00b9b · inbound

Noninvertible Symmetry-Enriched Quantum Critical Point cites this paper.

Noninvertible Symmetry-Enriched Quantum Critical Point Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-12T10:47:20.039144Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0866b5fe-9f4e-4a5e-b04d-cc4185ce32cf · inbound

Higher Representations and Quark Confinement cites this paper.

Higher Representations and Quark Confinement Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T20:18:00.091954Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd1c94b8-e580-4183-a460-55d60e0886c8 · inbound

Strange correlator and string order parameter for non-invertible symmetry protected topological phases in 1+1d cites this paper.

Strange correlator and string order parameter for non-invertible symmetry protected topological phases in 1+1d Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-16T04:42:36.078661Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 72c8b889-d32b-41ae-95f9-99bf58f90f2a · inbound

On local fields invariant under the action of topological defects cites this paper.

On local fields invariant under the action of topological defects Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-15T23:41:52.566343Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fcea4de2-8bb7-4892-8757-0bb580c37bb2 · inbound

Twisted Partition Functions as Order Parameters cites this paper.

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

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:35.663090Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3bee46cf-6374-43da-bfe6-179b6a946367 · inbound

A 2D-CFT Factory: Critical Lattice Models from Competing Anyon Condensation Processes in SymTO/SymTFT cites this paper.

A 2D-CFT Factory: Critical Lattice Models from Competing Anyon Condensation Processes in SymTO/SymTFT Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-07T10:28:39.746018Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad503280-47bb-4e15-badc-600899bb3bec · inbound

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

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

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T19:35:34.633381Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 36f426eb-c0c9-478a-835d-9c1f0842f819 · inbound

Symmetry, Symmetry Topological Field Theory and von Neumann Algebra cites this paper.

Symmetry, Symmetry Topological Field Theory and von Neumann Algebra Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 120

Resolution: unresolved; no resolver link, observed 2026-08-06T15:07:43.568951Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b6680a35-c8b7-4e10-b0b5-2586cffa01d1 · inbound

SymTFT actions, Condensable algebras and Categorical anomaly resolutions cites this paper.

SymTFT actions, Condensable algebras and Categorical anomaly resolutions Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-05T05:32:59.956084Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 85d66eb8-dfca-496f-9b86-926c244db11c · inbound

Symmetry TFTs for Continuous Spacetime Symmetries cites this paper.

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

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-04T21:32:52.766290Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 03fed417-b3e9-43f1-9285-530cd3fad07c · inbound

The Classification of 3+1d Symmetry Enriched Topological Order cites this paper.

The Classification of 3+1d Symmetry Enriched Topological Order Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-15T16:09:45.707806Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 037c76c8-4f3b-440c-bd2b-5043ee31d606 · inbound

Information Loss in Generalized Symmetry Breaking cites this paper.

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

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T13:54:32.555738Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a35f258a-bf2d-4892-b0c8-6a21cad6bae7 · inbound

Constant-Depth Clifford-Hierarchy Gates via Non-Abelian Surface Codes cites this paper.

Constant-Depth Clifford-Hierarchy Gates via Non-Abelian Surface Codes Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-03T16:32:53.894721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation af4d8b08-ee95-4d28-95c6-14ec2e125193 · inbound

Topological edge states in two-dimensional $\mathbb{Z}_4$ Potts paramagnet protected by the $\mathbb{Z}_4^{\times 3}$ symmetry cites this paper.

Topological edge states in two-dimensional $\mathbb{Z}_4$ Potts paramagnet protected by the $\mathbb{Z}_4^{\times 3}$ symmetry Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-03T15:11:50.693880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ddc4d4a-5c44-4d64-94c2-6e7bb1353f2f · inbound

Symmetry breaking phases and transitions in an Ising fusion category lattice model cites this paper.

Symmetry breaking phases and transitions in an Ising fusion category lattice model Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 35

Resolution: verified exact; arxiv_id, observed 2026-05-11T14:06:03.067968Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 76179d6c-5e5f-4c3a-bb7e-23bc44c0251c · inbound

Categorical Symmetries via Operator Algebras cites this paper.

Categorical Symmetries via Operator Algebras Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 21

Resolution: verified exact; arxiv_id, observed 2026-05-12T00:01:15.109478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 157579f9-72f2-4443-8412-81f34477488e · inbound

Constructing Bulk Topological Orders via Layered Gauging cites this paper.

Constructing Bulk Topological Orders via Layered Gauging Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 22

Resolution: verified exact; arxiv_id, observed 2026-05-12T09:36:26.641899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 6fc811a9-7da6-4d20-a75a-13969dd5800d · inbound

Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata cites this paper.

Non-Invertible Symmetries on Tensor-Product Hilbert Spaces and Quantum Cellular Automata Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 17

Resolution: metadata mismatch; arxiv_id, observed 2026-05-15T02:53:33.658448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation a2ca630d-9561-4e0e-a6b5-74fb3838a11f · inbound

Twin Phases: Intrinsic Deconfined Quantum Criticality cites this paper.

Twin Phases: Intrinsic Deconfined Quantum Criticality Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 32

Resolution: metadata mismatch; arxiv_id, observed 2026-06-28T20:52:37.464546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 4de74a09-3234-41b6-bfc2-ad6baa9dbd83 · inbound

Twin Algebras: Condensable Algebras beyond Anyons cites this paper.

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

Reference 69

Resolution: metadata mismatch; arxiv_id, observed 2026-06-28T20:52:37.312682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.

Observation 2683640c-68cb-4975-aba8-b9ba8ff17722 · inbound

Understanding Non-Split 2-Group Symmetry: (3+1)D SymTFT, Anomaly and Bordism cites this paper.

Understanding Non-Split 2-Group Symmetry: (3+1)D SymTFT, Anomaly and Bordism Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 135

Resolution: unresolved; no resolver link, observed 2026-08-14T04:36:05.695724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.