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Paper Citation Record · LEDGER

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

As of 7 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 24 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 24 of 24 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 24 of 24 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T10:28:39.824567Z

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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External citation measurements

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

source=pdf_text observed=2026-05-24T01:16:57.628200Z digest=sha256:30a54dc3af4575ecb74388957272d82d38fbfbe0e515382798c63266e22468f2

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

source=pdf_text observed=2026-05-23T22:02:57.740404Z digest=sha256:0f8da1b74ec31a174fb3625c4f775fb08953366e123324ce8daef27a0fc1f705

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

Resolution
unresolved
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=sha256:6c367e43c880d005c73b8f228eda3281e255df4b5fa46554a4abfeb782473460

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=sha256:58ec944388e1e5901a5607505cfdf535a7eef90efea60c90f79296098a31d2ca

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=sha256:6e24f89a5621880cf49b4c9f216dd4798eeb92d5213a2ea4dc0d506f22394973

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

Resolution
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=sha256:312211d3f401341abed46c07a94c8bab8b02a63b086220cf448bd0a0a5a9e4e8

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:32:50.348143Z digest=sha256:e97e3b1a698b14af3b540fb6bbfb18d5b3af2ac6354b5b599eb2871381cc654c

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

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T20:14:17.458384Z digest=sha256:c48f29803cb5e7ee906ba54224b41c9e13bbce9226bc423740e61c0e2828c747

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

Resolution
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=sha256:45b019c4d752b404b1d99baab6a7333dc683c39c9889be0df6b223703c0d5115

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:ddf1ee5fe66f27c5ce70472851e4e4b2bae40c64b5f798e3656796d3554f32a0

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

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

source=pdf_text observed=2026-05-17T22:50:14.741276Z digest=sha256:689855037d1fad4dfe7e7b5453571971f0b8f02ed4012d95eb17d442660fa73a

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

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=2026-05-16T05:08:35.099138Z digest=sha256:99bfb80d4dd2076c94c00a47bef840bc5322f80a8672d32dbc06a20a717f72bf

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=sha256:7b1530edf182c7484954656974183477b533d805baacb20f08783018ad3d14ec

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

source=pdf_text observed=2026-05-07T15:56:04.295605Z digest=sha256:b60deb1f59daef367ad9eecd92a2bc34304f9fa8a1cce675cdabaefec8d3cd7f

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

source=pdf_text observed=2026-05-11T03:23:34.161611Z digest=sha256:78db00bd48dbdd77dbbb5d65f2cdb28f9e66690aaa6078e9d328a5f5d6635304

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

source=pdf_text observed=2026-05-20T22:59:26.266718Z digest=sha256:ba92340d8489e6d93625d28a8716d4b53e8ec0f172d5987aceff4e69e348d1ad

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

source=pdf_text observed=2026-06-30T23:13:18.266390Z digest=sha256:1e665bc5bc880e0ae900d7948963828e11259e650abeb78ebfe883cf56889020

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:f3c9d117b54b5a5e9f9413ec46210355050aa9cceeea0340c385e36b8d407d40

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

source=pdf_text observed=2026-05-15T02:51:36.560672Z digest=sha256:3b9910e3e6894110578afadfd93467695a5c9eee9e9e27f6e79bde687e9093e0

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

source=pdf_text observed=2026-06-28T20:48:25.313678Z digest=sha256:1f7b260f1c6cebd4b7a8d5c87becdd7ca58daf055447cf81314404dd71cea497

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

source=pdf_text observed=2026-06-28T20:50:46.443047Z digest=sha256:3f7f1f66873e286af3f6c4a72d89d86a57f5eeb961543e40c3c7e4199f93edc7

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

source=pdf_text observed=2026-06-28T00:46:19.482598Z digest=sha256:5fd964f554dc7f9381f1778014aa4d713387d73d8ba0eee76d580820b4680aae

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=sha256:1ce5b30e95d5b1b54faf446916cc55c8bf15504251866cc4eb2561d06253bb61

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

Resolution
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=sha256:9362a25de31640e9b348229bb2ae4c826bd7e4a9453ea8e86d0585dc765161c5