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Paper Citation Record · LEDGER

The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

As of 10 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 25 inbound Pith citation observations for arXiv:2312.17322.

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

pith.paper-citation-record.v1
2312.17322 v3

Coverage vector

measured 0 of 0 reference resolution

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Source: paper_references, paper_reference_links

measured 25 of 25 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 25 of 25 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T17:03:59.913345Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-02T13:57:00.354864Z

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 9460a88b-0662-4820-af35-1d853d68a929 · inbound

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

Lattice Models for Phases and Transitions with Non-Invertible Symmetries The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 32

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verified exact
arxiv_id, observed 2026-05-24T01:18:42.718836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-24T01:16:57.628200Z digest=sha256:0c054851de0fcbadf46d0a4a9d4a1e1f50ca69b65b5bda38afe4dbe5bd034455

Observation db121b7c-ee97-4947-9e7c-14f6b839290b · inbound

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

Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 86

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arxiv_id, observed 2026-05-23T22:03:30.145504Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-23T22:02:57.740404Z digest=sha256:2ab651340d361538ac38e2694d5e0a7b3338629fd18a40b176cb4524a2f0fa8a

Observation c0fc243d-cf61-42e6-b698-8e3a06337320 · inbound

Generating logical magic states with the aid of non-Abelian topological order cites this paper.

Generating logical magic states with the aid of non-Abelian topological order The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 70

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no resolver link, observed 2026-08-09T17:03:59.913345Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T17:03:59.913345Z digest=sha256:92aa1e9a642b6f42735f83c634f91465c013f38f932bba50da84e53f214111fc

Observation ea9c9c0d-032c-41fc-b8a6-ba40f90baddf · 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 The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 76

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no resolver link, observed 2026-08-07T10:28:39.824567Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T10:28:39.824567Z digest=sha256:8897b5fbc08706d80c19735ee92246c29491072a2fc3123f672a2bbfe96c1087

Observation 8bbbb66a-010d-47dc-bf77-bdd015e5c757 · inbound

Symmetry theta angles and topological Witten effects cites this paper.

Symmetry theta angles and topological Witten effects The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 61

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no resolver link, observed 2026-08-06T21:32:23.463055Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:32:23.463055Z digest=sha256:375117170eb558e6cf5fa14c38ba9835cda0c43ab699d65c9f21fb08af43b6dd

Observation 052895c3-5ecd-445e-850d-3e85345610e6 · inbound

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

SymTFT Approach for Mixed States with Non-Invertible Symmetries The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-06T19:35:34.689721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:35:34.689721Z digest=sha256:b3e8b771870aa2b0ac960379ff5f83f527caab10a67a8ac3a3f0240a914de870

Observation 0a3fa4e3-39dc-4d8b-9d84-6b2c5144bcf4 · inbound

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

SymTFT actions, Condensable algebras and Categorical anomaly resolutions The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 43

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unresolved
no resolver link, observed 2026-08-05T05:32:59.835061Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T05:32:59.835061Z digest=sha256:30cf821303c1de6c14038cfa884630032cdad883163ff6d8b3b91c188d0bb6bf

Observation 56b80b69-277a-446c-9f5f-0bfc6d9fef93 · inbound

Symmetry TFTs for Continuous Spacetime Symmetries cites this paper.

Symmetry TFTs for Continuous Spacetime Symmetries The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 16

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no resolver link, observed 2026-08-04T21:32:50.348143Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:32:50.348143Z digest=sha256:09fcaf14ad2f25b26a4da6595b6fd8371ca50328bd654c6f536603e95529b7a6

Observation 8663222e-272c-4ea1-9c88-24781da319b1 · inbound

Sandwich Construction of Symmetry TFTs for the Centre Symmetries of Chern-Simons, Yang-Mills, and Einstein Gravity cites this paper.

Sandwich Construction of Symmetry TFTs for the Centre Symmetries of Chern-Simons, Yang-Mills, and Einstein Gravity The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 36

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no resolver link, observed 2026-08-04T20:14:17.458384Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:14:17.458384Z digest=sha256:fb37e07d479749ec2d46499860e572d7cedafb269448f8d2f9abfc349f959d8a

Observation 48f72ae7-709b-4711-ba0c-aec7eea07660 · inbound

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

SymTFT for Continuous Symmetries: Non-linear Realizations and Spontaneous Breaking The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 76

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unresolved
no resolver link, observed 2026-08-04T17:58:04.633622Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T17:58:04.633622Z digest=sha256:3882efa8b344eac16d7c8508f7115f83f46aeb3f80dd4d54b8a228f99c775775

Observation 00bba810-9cc2-4a77-9bc7-53321d2de77f · inbound

Information Loss in Generalized Symmetry Breaking cites this paper.

Information Loss in Generalized Symmetry Breaking The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-04T13:54:33.714812Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T13:54:33.714812Z digest=sha256:b83424ea7cb18df4ba4c2c0d253fe84e67c55684bd96e14ded4548b1322e09f1

Observation e64bffc2-06cf-4420-878b-98b55c84f64e · inbound

Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls cites this paper.

Generalizing quantum dimensions: Symmetry-based classification of local pseudo-Hermitian systems and the corresponding domain walls The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 127

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verified exact
arxiv_id, observed 2026-05-17T22:50:25.533599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-17T22:50:14.741276Z digest=sha256:8b4051667e29c5a1da817a0d2863c633ef8d4a5d759ad32a6d9d115de97f829e

Observation 65f7dc27-0c98-4f86-9eed-aad1407d074d · inbound

Generalized Families of QFTs cites this paper.

Generalized Families of QFTs The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 53

Resolution
metadata mismatch
arxiv_id, observed 2026-05-16T05:10:40.196092Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-16T05:08:35.099138Z digest=sha256:3025dfce1fa92ed9815b6c7acf3d9b706e23ed8b41e0953e00a872d704ded171

Observation 0c4b6477-d36d-44f5-a173-d6c958a1e062 · inbound

Generalized Families of QFTs cites this paper.

Generalized Families of QFTs The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-03T03:21:14.953195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T03:21:14.953195Z digest=sha256:554e1a43c1e9d7dd0a45b225a0874d16f5b9e4d4cd95954c0f2e705564079c31

Observation ed425989-3567-47ff-9310-c2e675764018 · inbound

Categorical Symmetries via Operator Algebras cites this paper.

Categorical Symmetries via Operator Algebras The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:01:15.458373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-07T15:56:04.295605Z digest=sha256:c3a9fc25cf66c45a9ffcef38e5d2c982e2abb89ea54382bee7c256513d1ca960

Observation 8523f340-2ed5-47d6-addd-05c3806306b1 · inbound

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries cites this paper.

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 89

Resolution
verified exact
arxiv_id, observed 2026-05-11T03:25:56.467450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-11T03:23:34.161611Z digest=sha256:effcb9fbb5d2d23ceae0403015bd729995ec51f375e2bc5da92570dc5d226e0f

Observation bf9174c8-2949-46a0-a117-2d4277c7e867 · inbound

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries cites this paper.

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 89

Resolution
verified exact
arxiv_id, observed 2026-05-20T23:03:51.426095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-20T22:59:26.266718Z digest=sha256:05747e92e6bf6c1c7cfd471aa73da7aee8630a3191c74304a4e384c725ad1d81

Observation db5efc56-588d-4127-8709-a6382282aaac · inbound

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries cites this paper.

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 82

Resolution
verified exact
arxiv_id, observed 2026-06-30T23:15:08.065417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-30T23:13:18.266390Z digest=sha256:c2e3ebc34cd8260e5f5bd89c29cd4537c86861347c278ec940b16d4ffaf1f279

Observation d8ce6000-a65f-4706-9ad7-57fc18edb7f4 · inbound

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries cites this paper.

Characterizing gapped phases by smeared boundary conformal field theories: Duality in unusual ordering with spontaneously broken generalized symmetries The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 81

Resolution
unresolved
no resolver link, observed 2026-08-04T05:19:23.029305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T05:19:23.029305Z digest=sha256:c87b8560d2bae951588ee06f8ad76e3dd92d1cb26f1210c1c077e0fb1ab0a1c0

Observation cf9f7e9a-5c17-47b1-a6e9-26d9af6927e4 · 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 The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 23

Resolution
metadata mismatch
arxiv_id, observed 2026-05-15T02:53:33.724292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-05-15T02:51:36.560672Z digest=sha256:dc34645956f1eb77780955b4b77b2b5973f789877b1b91920ddc159590108b30

Observation 037a6645-7f7e-49ba-b38f-69decc0404be · inbound

Twin Phases: Intrinsic Deconfined Quantum Criticality cites this paper.

Twin Phases: Intrinsic Deconfined Quantum Criticality The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 33

Resolution
metadata mismatch
arxiv_id, observed 2026-06-28T20:52:37.482854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-28T20:48:25.313678Z digest=sha256:f25c4e27cdd9cfce0c82bdcb3bda91b2a69ebea9cbde3bc1826031f636ab7bee

Observation 240ed2fd-ae7e-4f22-8c25-3cceb0f57c95 · inbound

Twin Algebras: Condensable Algebras beyond Anyons cites this paper.

Twin Algebras: Condensable Algebras beyond Anyons The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 35

Resolution
metadata mismatch
arxiv_id, observed 2026-06-28T20:52:37.313959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-28T20:50:46.443047Z digest=sha256:4dab740fe355ebcc24a23db792b04500e507b39c641feaf8db2626e41b84059d

Observation 636cc828-d302-421c-a193-473e04ff43a2 · inbound

Notes on (-2)-form symmetries cites this paper.

Notes on (-2)-form symmetries The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 57

Resolution
verified exact
arxiv_id, observed 2026-07-02T13:57:00.356283Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

source=pdf_text observed=2026-06-28T00:46:19.482598Z digest=sha256:dfeba489b98f67d604d0486f5447326b0dae1e8f07fbf97065fffe337c75b1a2

Observation 6a67fc81-0982-4172-8bb1-bc67b8962c2a · inbound

Notes on (-2)-form symmetries cites this paper.

Notes on (-2)-form symmetries The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-02T12:26:59.978553Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T12:26:59.978553Z digest=sha256:37d3b1ddc69e3cd94c1a8db7168691263f1ec0216ac5d4b0cde5ffa5596bb627

Observation 0d2a0fa6-995a-42d1-b8b4-7580bb5ce369 · inbound

Distinct finite-temperature phase diagrams of non-invertible Kennedy--Tasaki duals cites this paper.

Distinct finite-temperature phase diagrams of non-invertible Kennedy--Tasaki duals The Club Sandwich: Gapless Phases and Phase Transitions with Non-Invertible Symmetries

Reference 29

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unresolved
no resolver link, observed 2026-07-31T20:29:55.472542Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-07-31T20:29:55.472542Z digest=sha256:8d91d5c55fd7c114bca31977b91fd83fd4bd80d5ed8d67d763a03ed8f53b2221