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Paper Citation Record · LEDGER

Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

As of 17 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 18 inbound Pith citation observations for arXiv:2405.05331.

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

pith.paper-citation-record.v1
2405.05331 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 18 of 18 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 18 of 18 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T04:42:36.284620Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T12:58:08.495554Z

Reference resolution

0 of 0 outbound references displayed

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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 1a04245e-bfd7-4621-a13a-fcf5b834ece5 · inbound

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

Lattice Models for Phases and Transitions with Non-Invertible Symmetries Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 77

Resolution
verified exact
arxiv_id, observed 2026-05-24T01:18:42.710243Z

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.

source=pdf_text observed=2026-05-24T01:16:57.628200Z digest=sha256:8e6bd1fbe944d9fe573a1726a6edee030c109a10d53fb1e8643019d58425aa6c

Observation 35215fe4-473d-40fc-a11a-fdece1ab5d0f · inbound

Noninvertible Symmetry-Enriched Quantum Critical Point cites this paper.

Noninvertible Symmetry-Enriched Quantum Critical Point Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-12T10:47:20.140149Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T10:47:20.140149Z digest=sha256:c49d27c0c1b6064d5c65d97178c87cb457a1578f58f74cf8e226adc667253fa9

Observation 3358e610-5952-40a8-8aaf-b863ff3fe822 · inbound

Formal Theory at ICHEP 2024 cites this paper.

Formal Theory at ICHEP 2024 Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 74

Resolution
unresolved
no resolver link, observed 2026-08-10T23:09:21.936046Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:09:21.936046Z digest=sha256:95fe38724450c9263bbcf8031434e72e4bec1dae38cb5374c29975458dcd38a7

Observation 4e6b3f4e-1700-4194-a0fc-c520a281c763 · inbound

SymSETs and self-dualities under gauging non-invertible symmetries cites this paper.

SymSETs and self-dualities under gauging non-invertible symmetries Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-10T20:40:49.985297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T20:40:49.985297Z digest=sha256:52464423e6e7366eaf7f9c546cae7f5423e7130edd5dcaabc380a600d3f334ab

Observation c6cd549b-44a2-499c-aa12-1926c4724c18 · 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 Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 78

Resolution
unresolved
no resolver link, observed 2026-08-16T04:42:36.284620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T04:42:36.284620Z digest=sha256:7d7b22da34aed8bfe1e66b0a78a9752ef9b9177a64373721f8de989fe87600d6

Observation 2537bd30-8775-4481-87ba-318a024589c0 · inbound

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

SymTFT Approach for Mixed States with Non-Invertible Symmetries Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 25

Resolution
unresolved
no resolver link, observed 2026-08-06T19:35:34.648910Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:35:34.648910Z digest=sha256:b5f881894e7d6b6e7a011a46ef556ea742f36e67b0653d048cda3e7c6351325b

Observation 14ebb530-c13f-4e98-8b66-c9e44bca89a4 · inbound

Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings cites this paper.

Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 232

Resolution
verified exact
arxiv_id, observed 2026-05-21T23:54:27.930322Z

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.

source=pdf_text observed=2026-05-21T23:53:04.901248Z digest=sha256:2e32149428d8979250e7b88054d505dd1cc5416a9701dc79f01dde6a09d37a30

Observation 6a7bb29e-2cc2-4e33-96a4-8e3f48ecd78c · inbound

Symmetry TFTs for Continuous Spacetime Symmetries cites this paper.

Symmetry TFTs for Continuous Spacetime Symmetries Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-04T21:32:53.029278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T21:32:53.029278Z digest=sha256:f350d75d9c77d891a9020d442b8079392dd6b5aae6fc1ef81047b205f8a03ef2

Observation 880668db-5e44-4bd3-a22b-a5272759050f · 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 Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 38

Resolution
verified exact
arxiv_id, observed 2026-05-11T14:06:03.111733Z

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.

source=pdf_text observed=2026-05-09T23:36:58.037026Z digest=sha256:e7472d290cacbfc0f4fb337595a90ccb1c27a9cbd6bc7bbafc706c8c3adc3c17

Observation cd09ce83-7f95-4c24-8ae0-e5286cfa44b3 · 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 Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 183

Resolution
verified exact
arxiv_id, observed 2026-05-11T03:25:56.841081Z

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.

source=pdf_text observed=2026-05-11T03:23:34.161611Z digest=sha256:190b9678b95188dcd11849dab241cabc0e69e153294783be31f9ab1fc7fa6dba

Observation a2eb90be-2ef1-443c-89b5-de1b927cf31c · 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 Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 186

Resolution
verified exact
arxiv_id, observed 2026-05-20T23:03:51.950124Z

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.

source=pdf_text observed=2026-05-20T22:59:26.266718Z digest=sha256:fc73c067a6e43b20863acc47f0be8bd8bf8560c50443abd1f43017aa07050cc4

Observation f30de155-7391-4ab6-9509-b183e852354b · 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 Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 180

Resolution
verified exact
arxiv_id, observed 2026-06-30T23:15:08.518293Z

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.

source=pdf_text observed=2026-06-30T23:13:18.266390Z digest=sha256:02ab537d41576b0a49f0a864585d434f731e07ecfa669addf9a7d191257e77f7

Observation 5b7f615e-403e-4ed2-8291-04b7f7b6bf37 · 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 Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 179

Resolution
unresolved
no resolver link, observed 2026-08-04T05:19:23.305566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T05:19:23.305566Z digest=sha256:55b47d74958d091242c34499de0a957bf8aee33bde28e7f77a3907b53738142e

Observation 57ffa48b-378d-4c32-8eaa-9017f97058f3 · inbound

Twin Phases: Intrinsic Deconfined Quantum Criticality cites this paper.

Twin Phases: Intrinsic Deconfined Quantum Criticality Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 16

Resolution
metadata mismatch
arxiv_id, observed 2026-06-28T20:52:37.525389Z

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.

source=pdf_text observed=2026-06-28T20:48:25.313678Z digest=sha256:61856205aaa614f8b86ff4f5cf0deab6b9ca12a28ca428b7f0395b6ee0044485

Observation dcb21d09-871c-4675-93ad-395b3553c794 · inbound

Twin Algebras: Condensable Algebras beyond Anyons cites this paper.

Twin Algebras: Condensable Algebras beyond Anyons Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 31

Resolution
metadata mismatch
arxiv_id, observed 2026-06-28T20:52:37.311084Z

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.

source=pdf_text observed=2026-06-28T20:50:46.443047Z digest=sha256:738679e2c870f27171962ca1be37a4b4c6cc29ac8f744864f4450210efd8cdc6

Observation 685235e0-8bfd-47b8-b8c8-89dfcbff395d · inbound

Invariants of Sequential Circuits and Generalized Non-Abelian Statistics cites this paper.

Invariants of Sequential Circuits and Generalized Non-Abelian Statistics Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 93

Resolution
metadata mismatch
arxiv_id, observed 2026-07-03T12:58:08.497091Z

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.

source=pdf_text observed=2026-06-27T08:37:53.035253Z digest=sha256:4b0051184f9576e705ec481ea8c29561d346e00f31eff8a40ee8147f7e541ccb

Observation aafc17bc-499d-4c6f-b838-00551cbc39e6 · inbound

Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations cites this paper.

Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T06:57:47.317131Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T06:57:47.317131Z digest=sha256:0c40ea85f5a4188a87d9566fc3c96883f8be408567a369dfdb1c14475716450d

Observation abc03865-2e76-4ef6-a3f7-7ba3fba75ba6 · inbound

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions cites this paper.

Self-dual $S_3$ gauge theory in 2+1d: lattice model and topological phase transitions Quantum Phases and Transitions in Spin Chains with Non-Invertible Symmetries

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-08T15:59:32.974255Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T15:59:32.974255Z digest=sha256:053361f72a4e4b191ccd5c12373d3cde0fc53a33dde7f863bc389d4bae4e752a