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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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-24T01:16:57.628200Z digest=sha256:61b6f89ccef01c37ab29a82087c3ec53b8582dd7b0561dcbdaeb2db3efbfbbea

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
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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=sha256:0e89db315a6e3b199c9513eb3537ca67b454cd52d448c141d05bbd2f8868dcc1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-21T23:53:04.901248Z digest=sha256:5ac62194a367512daff767cab09bf761fcfd173be617eddf0a677a6e7ca7ca6b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-09T23:36:58.037026Z digest=sha256:0819b4f71a8e2e9691d9b23f05a44a122e4ba71d6ea3688184f40d20a1c82336

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-11T03:23:34.161611Z digest=sha256:366ba8bd7587c36d70b0a53498045577ed6bd193df9dad0c0683461cebd586d1

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-05-20T22:59:26.266718Z digest=sha256:ad8b644fae0dea87b99e84b83f2021bdfaef0f095e31b6bf6b63176cff781f91

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-30T23:13:18.266390Z digest=sha256:24a0e0a5e05fdddfb6eb69229bb0377a46c9a87f02651951a0533ec6f2109693

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-28T20:48:25.313678Z digest=sha256:8d419cbc0c4f9443e1f6fceb5bfb3e147525530a0d95e08d2fad03545237328b

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-28T20:50:46.443047Z digest=sha256:db9d3b4e14b58d5aff6975ec416d1813abb2a4a3bdbf173b997355723018f072

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-06-27T08:37:53.035253Z digest=sha256:10c688185c3e46f9b707e9961b3ce8abdb2413ab4a30a311ce262449494129ca

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