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Paper Citation Record · LEDGER

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry

As of 12 August 2026, this Paper Citation Record lists 100 of 123 outbound references and 5 inbound Pith citation observations for arXiv:2412.20546.

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

pith.paper-citation-record.v1
2412.20546 v2

Coverage vector

measured 100 of 123 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:26:36.625876Z

measured 105 of 105 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T19:09:11.712924Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T15:55:48.929980Z

Reference resolution

100 of 123 outbound references displayed

  • verified exact6
  • verified fuzzy0
  • unresolved90
  • parse uncertain0
  • malformed identifier4
  • metadata mismatch0

External citation measurements

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Outbound references

Observation 89e93e89-9fc2-4867-8400-bd336c890f77 · outbound

This paper cites fgt(A) is a matrix algebra, or equivalently dimZ(fgt(A)) = 1.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry fgt(A) is a matrix algebra, or equivalently dimZ(fgt(A)) = 1

Reference 1

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source=pdf_text observed=2026-08-10T23:26:35.980798Z digest=sha256:0ceef02694269e8fb3788b22822aa0f32903f7fcd2c7e9045f1f9508b4fae0be

Observation f1493d61-8c8d-4226-925b-fd66d02c729d · outbound

This paper cites All the G-SPT phases and three Rep†(D8) SPTs belong to this case; 2.C∨ Hilbf ⁄∼ =C∨ Hilbh , where h and f are not related by monoidal equivalences.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry All the G-SPT phases and three Rep†(D8) SPTs belong to this case; 2.C∨ Hilbf ⁄∼ =C∨ Hilbh , where h and f are not related by monoidal equivalences

Reference 2

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source=pdf_text observed=2026-08-10T23:26:35.987024Z digest=sha256:8f71d40130423d0e1c278dba773cb05aa6ab6a376303fa876c80941f19ce239d

Observation 5bd0f8b3-6657-455a-8b00-993d7da1461d · outbound

This paper cites It is possible that when f andh are not related by monoidal equivalences, it happens to be C∨ Hilbf ∼ =C∨ Hilbh.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry It is possible that when f andh are not related by monoidal equivalences, it happens to be C∨ Hilbf ∼ =C∨ Hilbh

Reference 3

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source=pdf_text observed=2026-08-10T23:26:35.992859Z digest=sha256:34ea4de9ab0972e79709a376f397c8dcfd4bd399942ed92cfe7962d8680114c9

Observation 9eeccbb9-5546-4ec5-aece-cbd823f1067d · outbound

This paper cites Let (A,m,ι ) be a simple Q-system in C∨ Hilbf.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Let (A,m,ι ) be a simple Q-system in C∨ Hilbf

Reference 4

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source=pdf_text observed=2026-08-10T23:26:36.062906Z digest=sha256:810f5c5b7a3f5f7ae2ec8a938513f651536b0dfeab4266016ac98b6db9572cc2

Observation dec263da-22ba-4c56-84dd-6965afbda229 · outbound

This paper cites an unresolved cited work.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Unresolved cited work

Reference 5

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source=pdf_text observed=2026-08-10T23:26:36.005945Z digest=sha256:4e0a33fd2948c79847dae4694e74a139610fb1c7e5ab44266aae238434aadcbb

Observation 8636071e-fd5f-47d3-a9c2-ef2490837be2 · outbound

This paper cites 32 Appendix D: Algebra Definition D.1.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry 32 Appendix D: Algebra Definition D.1

Reference 6

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source=pdf_text observed=2026-08-10T23:26:36.011345Z digest=sha256:104324a294e491cdd23d3efa18df7638cc9a0a8aecf728f73e126ff2b19887bc

Observation 007cd5bd-fa8d-4ad3-8a1e-dabc824db529 · outbound

This paper cites an unresolved cited work.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Unresolved cited work

Reference 7

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source=pdf_text observed=2026-08-10T23:26:36.016791Z digest=sha256:c487a8e67b367eec6fb84e8bdec0c1f0bc0e47d8d444614c58cdded3de330ac7

Observation 0b701183-db62-4f60-9ef6-f71b3bef0838 · outbound

This paper cites an unresolved cited work.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Unresolved cited work

Reference 8

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source=pdf_text observed=2026-08-10T23:26:35.999934Z digest=sha256:8f23b5478584987bae72ea8cc03832737103fc8a5a1d6bb5683d93e934109ec3

Observation 3adbb4b3-341d-4f0b-b2e2-ec7cada9677d · outbound

This paper cites Hopf C⋆-algebra is defined in [ 92], and a version of C ⋆-quantum groupoid is defined in [ 61].

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Hopf C⋆-algebra is defined in [ 92], and a version of C ⋆-quantum groupoid is defined in [ 61]

Reference 9

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source=pdf_text observed=2026-08-10T23:26:36.022326Z digest=sha256:7b654e06f25a7fdac5dd0f25c581e09ecccf41b1fa1c75d594b879afcb7fa501

Observation 697e4084-00e0-4a67-af37-892f9456a491 · outbound

This paper cites an unresolved cited work.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Unresolved cited work

Reference 10

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source=pdf_text observed=2026-08-10T23:26:36.027844Z digest=sha256:2cc52871ff5bb219b72af24b8e03ec2bce5632b462be45aefa999241061385aa

Observation bfa33d74-7813-4105-8e27-79bfde0ce16e · outbound

This paper cites an unresolved cited work.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Unresolved cited work

Reference 11

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source=pdf_text observed=2026-08-10T23:26:36.033093Z digest=sha256:e5a7d995a898eb820a327853a46884ca03c06d3706255f723c1515d7cb2aa490

Observation 0fd1c1f1-5872-4ae4-9c9f-b34b391cc1e4 · outbound

This paper cites It has been proved in [ 45, 94–96] that 1⇒2.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry It has been proved in [ 45, 94–96] that 1⇒2

Reference 12

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source=pdf_text observed=2026-08-10T23:26:36.038752Z digest=sha256:af8354943986311b3331a2c82998370e67cc3c6b642cfbab831e7d7a37ccc24b

Observation aa549632-0c18-4fac-a774-ca1233c7d3a1 · outbound

This paper cites Let (A,m,ι ) be a Q-system in Hilb.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Let (A,m,ι ) be a Q-system in Hilb

Reference 13

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source=pdf_text observed=2026-08-10T23:26:36.044957Z digest=sha256:ed17846d3b6c449c09115a8720ca98adb0608bdcb357a1f9a7f3c66bc2586c3f

Observation beeb76ea-fb66-4f29-aa95-2ece6807fb65 · outbound

This paper cites Let Ψ({i}) =      A i< 0 M i = 0 B i> 0 and Φ({i,i + 1}) =          1−m† AmA i< −1 1−µ† AµA i =−1 1−µ† BµB i = 0 1−m† BmB i> 0.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Let Ψ({i}) =      A i< 0 M i = 0 B i> 0 and Φ({i,i + 1}) =          1−m† AmA i< −1 1−µ† AµA i =−1 1−µ† BµB i = 0 1−m† BmB i> 0

Reference 14

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source=pdf_text observed=2026-08-10T23:26:36.051039Z digest=sha256:8dadb2cc97421487b882bbf4bd008a8c958613d1f734e45b65cad5c8dfbf2e7d

Observation 83b1b1ae-211f-4065-a919-878c21e9237f · outbound

This paper cites macroscopically local.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry macroscopically local

Reference 15

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source=pdf_text observed=2026-08-10T23:26:36.056638Z digest=sha256:ce84323ea4dc14e5febd09ecdeb680b30881a04fdcffb5aea7cc5b36fcc1a12c

Observation 8772cf33-a240-4304-ac31-c6c163b01162 · outbound

This paper cites The groups and cocycles defined in [ 107] are: • ⟨r,a⟩e =⟨r,a⟩: ψe(c,d ) = ψ+(c,d )ψ+(d−1,c −1)∼coh 1 which is a trivial 2-cocycle following from the result discussed above.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry The groups and cocycles defined in [ 107] are: • ⟨r,a⟩e =⟨r,a⟩: ψe(c,d ) = ψ+(c,d )ψ+(d−1,c −1)∼coh 1 which is a trivial 2-cocycle following from the result discussed above

Reference 16

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source=pdf_text observed=2026-08-10T23:26:36.068459Z digest=sha256:6eb0cda17d1d6bcc66add8542a34d82187b77742951d9d7d20a9af08d48ae3c8

Observation c91b11ff-c25f-4ea4-8bd1-2740e69ae6e9 · outbound

This paper cites ⊲” and the right A-action “⊳.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry ⊲” and the right A-action “⊳

Reference 17

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source=pdf_text observed=2026-08-10T23:26:36.074533Z digest=sha256:0003e1bb3b605c65a5637b9efb0c975bbc92cd49aa58cb9a059efcffaf95055a

Observation 8c9ccef7-e7ae-4263-a74c-98fb55b8bca4 · outbound

This paper cites Chen, Z.-C.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Chen, Z.-C

Reference 19

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source=pdf_text observed=2026-08-10T23:26:36.085469Z digest=sha256:836abbc565d9e04d11fba3409366aa7a4c5da6afd626a39f7242f94a1ac350ca

Observation 79359f44-28dd-4556-b251-fab0e5bd16ca · outbound

This paper cites Chen, Z.-X.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Chen, Z.-X

Reference 20

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source=pdf_text observed=2026-08-10T23:26:36.091013Z digest=sha256:6cc61d39ac3ac639fa458ef917f67f282a6c22376f57c7f501b5ce1c67e28ef5

Observation 92a6658a-1b27-4a4f-a894-312d781040a2 · outbound

This paper cites Levin and Z.-C.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Levin and Z.-C

Reference 21

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source=pdf_text observed=2026-08-10T23:26:36.096721Z digest=sha256:3a7d87572fe5c96647137dafa2afbd69903650ac8afd02a75c1bd26533d4d1f4

Observation c963ac96-e211-4152-80b8-7483a812f314 · outbound

This paper cites Chen, Z.-C.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Chen, Z.-C

Reference 22

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source=pdf_text observed=2026-08-10T23:26:36.101910Z digest=sha256:ab412f2177bf55b77da95ca87370a5ff873cb105bbdb7b7b6d014bff80f44a28

Observation 53bcd0be-9792-4846-8333-fbc22b1fc451 · outbound

This paper cites Domain Wall Decorations, Anomalies and Spectral Sequences in Bosonic Topological Phases.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Domain Wall Decorations, Anomalies and Spectral Sequences in Bosonic Topological Phases

Reference 23

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source=pdf_text observed=2026-08-10T23:26:36.108259Z digest=sha256:f724e8705d2ed249f65066e6dd354c654b9241cf17708bf17b360f62ca89da95

Observation 40875ca0-7834-4575-b9e1-7d76ff8bf2da · outbound

This paper cites Kong, X.-G.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Kong, X.-G

Reference 25

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source=pdf_text observed=2026-08-10T23:26:36.121401Z digest=sha256:1509f65c6cf470deff2271bb570b4260ff214de35ecf5d16a31b1e62ee50438c

Observation b42e5db9-d6a6-41da-a471-90dfaf8adda6 · outbound

This paper cites Symmetry Protected Topological Phases, Anomalies, and Cobordisms: Beyond Group Cohomology.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Symmetry Protected Topological Phases, Anomalies, and Cobordisms: Beyond Group Cohomology

Reference 26

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source=pdf_text observed=2026-08-10T23:26:36.127367Z digest=sha256:bdb47f44496da0f16984c41e2ed03a795fcf3446a11fe62cc02fa8871c736d7f

Observation 7c751b2b-847b-48f8-a63c-e2dd1be57eee · outbound

This paper cites Classification of gapped ground state phases in quantum spin systems.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Classification of gapped ground state phases in quantum spin systems

Reference 27

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source=pdf_text observed=2026-08-10T23:26:36.133132Z digest=sha256:2a7dec1e47f03889eceb195277d42555635888d95b42d44508ed2acc40ed5e6a

Observation 909f1c61-fc29-46e9-af3c-db7f78177b75 · outbound

This paper cites an unresolved cited work.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Unresolved cited work

Reference 28

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source=pdf_text observed=2026-08-10T23:26:36.138881Z digest=sha256:28efa3a138926594532ea1b587dd3ac0707266f38ce46a54d0bd9718b0aa2c8f

Observation 89199e82-e6f6-4bee-9b72-df0f096a293b · outbound

This paper cites Diatlyk, C.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Diatlyk, C

Reference 29

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source=pdf_text observed=2026-08-10T23:26:36.146319Z digest=sha256:95cffd62923a5b2958387dbd9b93a92f71fc105c4074ff14bcacb93da41c05c4

Observation 8caf5faa-b16d-4620-9484-7a32d615744c · outbound

This paper cites What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

Reference 30

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source=pdf_text observed=2026-08-10T23:26:36.151741Z digest=sha256:db52f14da3b81cffbbe1f97455940f5b07a98e9d88d747db40a0e7d8bce61b8d

Observation 84e3066c-3058-4e9e-80bb-b9d95dcdd1bf · outbound

This paper cites ICTP Lectures on (Non-)Invertible Generalized Symmetries.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry ICTP Lectures on (Non-)Invertible Generalized Symmetries

Reference 31

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source=pdf_text observed=2026-08-10T23:26:36.158296Z digest=sha256:85a0fa83f3252ad50168bba7a4971b08c67dcc1876167eee88917216823965b0

Observation bb8a2676-85ae-41dc-aa69-9a0ca830649b · outbound

This paper cites Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Fusion Category Symmetry I: Anomaly In-Flow and Gapped Phases

Reference 32

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source=pdf_text observed=2026-08-10T23:26:36.164894Z digest=sha256:03ad94f717d89e8d6e91f9f80378a0897f116937add25863f8550f3d319cf552

Observation c937f255-ab77-4273-ab63-c88a8c33c8fa · outbound

This paper cites Seiberg, S.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Seiberg, S

Reference 33

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source=pdf_text observed=2026-08-10T23:26:36.171572Z digest=sha256:e3bd45f0e7640943a185816dcf171d123b3bea40528b39a20f7d13282bf1e81b

Observation cafdfbec-b8e0-44dd-a3a0-b92db246e9f5 · outbound

This paper cites Non-invertible Global Symmetries in the Standard Model.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Non-invertible Global Symmetries in the Standard Model

Reference 35

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source=pdf_text observed=2026-08-10T23:26:36.183401Z digest=sha256:9a717cff5e1f89bac5ff111e3dae2b7c3c2e9054624c60cbae1ff065b2f1e630

Observation 8efda099-8ddd-4ad6-9d7d-d75a9a580a3e · outbound

This paper cites Chang, Y.-H.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Chang, Y.-H

Reference 36

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source=pdf_text observed=2026-08-10T23:26:36.188909Z digest=sha256:1106084d59f888fd1b476940cfd399f06ff01c60d60aba0317dd6ff9387abc59

Observation b9900b69-5663-4d2e-879c-192425a3c33d · outbound

This paper cites Roumpedakis, S.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Roumpedakis, S

Reference 37

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source=pdf_text observed=2026-08-10T23:26:36.194877Z digest=sha256:a3cfbac9c1f150dce7bc7c87ca6fac095c0a7c797cdefe01c8ec79b571dddfb3

Observation 9763acc2-4de7-46bb-ba1e-91c574276858 · outbound

This paper cites Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Fusion Category Symmetry II: Categoriosities at c = 1 and Beyond

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source=pdf_text observed=2026-08-10T23:26:36.200455Z digest=sha256:f7400bc69d290a87a92a20137d639534e09119029b857376ac628eab40882ab8

Observation 71ca571d-2f97-4eb7-ad51-1abc8a7d400c · outbound

This paper cites Chatterjee, O.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Chatterjee, O

Reference 39

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Observation f6215cc0-e218-4c4a-84fc-260e9c588e9d · outbound

This paper cites Building 1D lattice models with $G$-graded fusion category.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Building 1D lattice models with $G$-graded fusion category

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source=pdf_text observed=2026-08-10T23:26:36.212449Z digest=sha256:ca9538163e3349929a8e11e1ec38910160675cd060d5317ebc4b8eabf9624943

Observation 47418b82-b695-4896-823f-09fdd91a9da0 · outbound

This paper cites Lootens, C.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Lootens, C

Reference 41

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source=pdf_text observed=2026-08-10T23:26:36.218637Z digest=sha256:93061c3878a01395551fc930615c8db11a1f7ea444f9db23c6fe15b598a7f048

Observation 0a5dfa6c-ec6e-4e7c-89c8-4871000173b7 · outbound

This paper cites Dualities in one-dimensional quantum lattice models: topological sectors.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Dualities in one-dimensional quantum lattice models: topological sectors

Reference 42

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source=pdf_text observed=2026-08-10T23:26:36.224470Z digest=sha256:c387e548d58d9ea21dfa103fc80362a7ba29fb8011ce6c9b625690570c0862fd

Observation 056ee01f-5ef4-4b73-840b-113f78fdba67 · outbound

This paper cites Non-invertible symmetry-protected topological order in a group-based cluster state.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Non-invertible symmetry-protected topological order in a group-based cluster state

Reference 43

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source=pdf_text observed=2026-08-10T23:26:36.231376Z digest=sha256:0dd3e1c9fc71b57f6c81aae8ccd9f555fc50c5a7ff3c5035efe4d664bfcbaac5

Observation 004a8a48-062a-461c-ab67-f6da15805fed · outbound

This paper cites An index for quantum cellular automata on fusion spin chains.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry An index for quantum cellular automata on fusion spin chains

Reference 44

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source=pdf_text observed=2026-08-10T23:26:36.237651Z digest=sha256:51e7d07c142db59567c43c33c39be7c4e3dfb27a751000672efadf33cc62eb80

Observation 0ae51a3d-f31c-4812-a849-56a1744e1057 · outbound

This paper cites Topological symmetry in quantum field theory.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Topological symmetry in quantum field theory

Reference 45

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source=pdf_text observed=2026-08-10T23:26:36.243772Z digest=sha256:6ea41f39b1a06f17653f2e827b75e3eb3ca2deaa5e1595eb0d1a389d18cf4688

Observation 4ed4b739-5a25-43dd-8668-3e9fa20a6d26 · outbound

This paper cites Categorical Landau Paradigm for Gapped Phases.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Categorical Landau Paradigm for Gapped Phases

Reference 46

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source=pdf_text observed=2026-08-10T23:26:36.249894Z digest=sha256:b7426ed94b1143fa89bed2b4a0aa7ad694f90cf8c1137af9a13f034abef71886

Observation 28fd2dfb-cf4e-4776-92b7-5dbb069d5925 · outbound

This paper cites Bhardwaj and S.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Bhardwaj and S

Reference 47

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source=pdf_text observed=2026-08-10T23:26:36.256317Z digest=sha256:76cfdef308551f9c9a4205a7776bcadf4dbfd29d04e72808bc1355a6c0b0aac0

Observation 1d6df42d-45c5-427d-a515-613e540f39dc · outbound

This paper cites Category of SET orders.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Category of SET orders

Reference 48

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source=pdf_text observed=2026-08-10T23:26:36.262006Z digest=sha256:b74aa9ad38e15efbe418e977e6f46d89d57ddd65f607314d8170f01fdb3d2f60

Observation 3c570c56-1bb9-4978-9690-ee30be5bd6c9 · outbound

This paper cites Ji and X.-G.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Ji and X.-G

Reference 49

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source=pdf_text observed=2026-08-10T23:26:36.268728Z digest=sha256:7ed867a70f1bc744008cb216636aad702017beac83fdee036c4fb5dbd45446f4

Observation ccfd9591-1096-4d84-8843-13ac946203db · outbound

This paper cites Chatterjee and X.-G.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Chatterjee and X.-G

Reference 50

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source=pdf_text observed=2026-08-10T23:26:36.275280Z digest=sha256:075217f16850e592b77d8a0e69bdc3c31a5e0d1b3b459678aa3515e8aaf0905e

Observation 08a78bf8-73ef-4032-ae69-5e09a6a15a31 · outbound

This paper cites Xu and Z.-H.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Xu and Z.-H

Reference 51

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source=pdf_text observed=2026-08-10T23:26:36.281291Z digest=sha256:9f09e76715f919824a8d2d7e33a98819d4692d0e89932994a2a823f55f910765

Observation 06cc6204-db98-4b19-a417-59fbd5115ee1 · outbound

This paper cites Seifnashri and S.-H.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Seifnashri and S.-H

Reference 52

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source=pdf_text observed=2026-08-10T23:26:36.287346Z digest=sha256:2ffcc8a82b716621d67bd15fac6424ed4932d152d60bc4c9d1d05ae1460bc520

Observation fbf3c50f-7537-4002-b416-7fe695876782 · outbound

This paper cites Inamura, On lattice models of gapped phases with fusion category symmetries, Journal of High Energy Physics 2022, 10.1007/jhep03(2022)036 (2022).

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Inamura, On lattice models of gapped phases with fusion category symmetries, Journal of High Energy Physics 2022, 10.1007/jhep03(2022)036 (2022)

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source=pdf_text observed=2026-08-10T23:26:36.293617Z digest=sha256:a682191f85af680119797bedfbaa00df109125c848f5e68e50febd73ad555b4e

Observation 2fa5a54a-63e0-4030-b101-4fdc1f4343fe · outbound

This paper cites Inamura and S.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Inamura and S

Reference 54

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source=pdf_text observed=2026-08-10T23:26:36.299296Z digest=sha256:004a4fc58dff8af4775fabed8e1a8016c66b88e05d5032d8fb08eed29cb7f364

Observation b996129a-e9d8-44cb-a20c-ca4444e2149c · outbound

This paper cites Matrix product operator algebras I: representations of weak Hopf algebras and projected entangled pair states.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Matrix product operator algebras I: representations of weak Hopf algebras and projected entangled pair states

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source=pdf_text observed=2026-08-10T23:26:36.304864Z digest=sha256:84fcb3b468ab3684daf0b40f27eeb09332a8ec66b133858017215147edcf64a4

Observation 46b2e41c-57af-4ff6-a4ac-ede98a88e06d · outbound

This paper cites Jia, Weak hopf non-invertible symmetry-protected topological spin liquid and lattice realization of (1+1)d symmetry topological field theory (2024), arXiv:2412.15336 [hep-th].

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Jia, Weak hopf non-invertible symmetry-protected topological spin liquid and lattice realization of (1+1)d symmetry topological field theory (2024), arXiv:2412.15336 [hep-th]

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source=pdf_text observed=2026-08-10T23:26:36.312968Z digest=sha256:82391e6c451cfe757b9f1d74dc3e12397142c5a6bb6e9dfa22bb99e280e99152

Observation dc1297c7-b6f1-4ed6-80be-e332c0b8bd8b · outbound

This paper cites an unresolved cited work.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Unresolved cited work

Reference 57

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:26:36.319724Z digest=sha256:d6231fe3960f5daf99eeef5ca9ae0e4b96d94ff7a6bed90c0e364dbed02a6158

Observation 2e9d7fe0-17b4-492b-95a1-647da4c511df · outbound

This paper cites Garre-Rubio, L.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Garre-Rubio, L

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source=pdf_text observed=2026-08-10T23:26:36.325649Z digest=sha256:8811a32de78a082bc94ca7d122480f3516593ba293cd01690089081f3f51fdf2

Observation 253e0d09-f971-4756-a0fb-a7a6f76aacc3 · outbound

This paper cites Jia, Quantum cluster state model with haagerup fusion category symmetry (2024), arXiv:2412.19657 [math.QA].

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Jia, Quantum cluster state model with haagerup fusion category symmetry (2024), arXiv:2412.19657 [math.QA]

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source=pdf_text observed=2026-08-10T23:26:36.331435Z digest=sha256:cec7dd1926a0d48b703cd038a5ad0dcecfa6e3c95fb5f70ddf039bae84861666

Observation 06b78287-9c85-4193-adfc-a27279654717 · outbound

This paper cites Field theories with defects and the centre functor.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Field theories with defects and the centre functor

Reference 60

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source=pdf_text observed=2026-08-10T23:26:36.338139Z digest=sha256:873083d5a81249f9910f1336f4b9e495e0c4c66403c7f7a59aaab8f8071f37d3

Observation 772c591b-da0c-431b-a36e-773ba1ea16b0 · outbound

This paper cites an unresolved cited work.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Unresolved cited work

Reference 61

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source=pdf_text observed=2026-08-10T23:26:36.344474Z digest=sha256:404a438965a382610db27158c8d1556b6bdb13405d5d79d752343ca7c22afb8d

Observation 109dffc7-b3bc-42fe-a5a5-51300faa56c1 · outbound

This paper cites Lan and J.-R.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Lan and J.-R

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source=pdf_text observed=2026-08-10T23:26:36.350637Z digest=sha256:281a90a02c83c8a6fb97435ea08fb3baf4f33c2142e6a6c6d647f09b247a36e6

Observation cf353e3e-b4eb-457d-b2b6-3afec56f6572 · outbound

This paper cites CFT$_D$ from TQFT$_{D+1}$ via Holographic Tensor Network, and Precision Discretisation of CFT$_2$.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry CFT$_D$ from TQFT$_{D+1}$ via Holographic Tensor Network, and Precision Discretisation of CFT$_2$

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source=pdf_text observed=2026-08-10T23:26:36.356907Z digest=sha256:2022f3c7630d6dfbf950920b1edf277ff4fe1433466d3b9431fa375ba2d90545

Observation e1deca6b-4659-4f4e-abe0-568a3457e56b · outbound

This paper cites Fukuma, S.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Fukuma, S

Reference 64

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source=pdf_text observed=2026-08-10T23:26:36.362764Z digest=sha256:473a6e140fb9764f4d58a82d3a0914a14e1b324db096c6df3c0afba0c6db4e63

Observation a75b0a30-b7fd-4698-8405-965bcd38d196 · outbound

This paper cites an unresolved cited work.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Unresolved cited work

Reference 65

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source=pdf_text observed=2026-08-10T23:26:36.368583Z digest=sha256:16a8d7407730ec43c71f908b436bccb6f08261fbffc32d99584528c42f2afcc4

Observation 6042bf6f-5951-4c3b-a904-5ceca12a2fdf · outbound

This paper cites Isocategorical groups.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Isocategorical groups

Reference 66

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verified exact
local_arxiv, observed 2026-08-10T23:26:37.769772Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:26:36.375999Z digest=sha256:a3c01cd22e1d4c6a115a36f89a7dc2935de5817006872430dcfb68efed0d9af2

Observation 71e43e6b-2795-486b-9138-755bfe66adc2 · outbound

This paper cites an unresolved cited work.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Unresolved cited work

Reference 67

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source=pdf_text observed=2026-08-10T23:26:36.381358Z digest=sha256:3b3de457eb43cfee7961303e7c45a0c4487fe0d52d04106c55464c23a51c30e2

Observation 8806c40f-e798-4c39-b396-a3b61a6403e0 · outbound

This paper cites Tambara and S.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Tambara and S

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source=pdf_text observed=2026-08-10T23:26:36.386060Z digest=sha256:1d91df93a5ff3c258cde8eb098c2ed615fe4294e6562cedc570d9bde8d0ac2d8

Observation f3d06f98-ea12-4d64-b6ab-5f5fe57c2f96 · outbound

This paper cites Tambara, Representations of tensor categories with fusion rules of self-duality for abelian groups, Israel Journal of Mathematics 118, 29 (2000).

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Tambara, Representations of tensor categories with fusion rules of self-duality for abelian groups, Israel Journal of Mathematics 118, 29 (2000)

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source=pdf_text observed=2026-08-10T23:26:36.391786Z digest=sha256:6af43d4a77932dbfdb6218b00d0f34157b078d850cb4b73255fe5076af92c78e

Observation d5c072f0-ab46-428d-bf9c-c3c08481861d · outbound

This paper cites an unresolved cited work.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Unresolved cited work

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source=pdf_text observed=2026-08-10T23:26:36.397112Z digest=sha256:762cae68c39838efc2fd83f61da3c28843c0a82cf0e6e33ac48fb0caebf11d3c

Observation 32d8f64a-12ce-4289-9e07-03bd0a02156b · outbound

This paper cites Kitaev and L.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Kitaev and L

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source=pdf_text observed=2026-08-10T23:26:36.402534Z digest=sha256:105373b04ab2a05274bbce6cb2ce76122fec2c9f91727ac701b28c2327197c2c

Observation 78efdc49-c3f2-4d34-bbb8-10dd9afec22c · outbound

This paper cites Seifnashri, Lieb-schultz-mattis anomalies as obstruc- tions to gauging (non-on-site) symmetries, SciPost Physics 16, 10.21468/scipostphys.16.4.098 (2024).

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Seifnashri, Lieb-schultz-mattis anomalies as obstruc- tions to gauging (non-on-site) symmetries, SciPost Physics 16, 10.21468/scipostphys.16.4.098 (2024)

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source=pdf_text observed=2026-08-10T23:26:36.407839Z digest=sha256:f904ff6443a80e5844dec1fd93c01b1ba61cf8af8eb122f13abe93e4c1a49f1b

Observation 56c537d7-3534-4f1b-bc7b-c3d8c6a5ea2e · outbound

This paper cites Strictly speaking, we should impose the constraint at the Hilbert space level and identify the gauge-invariant generators to recover the tensor product Hilbert space after gauging.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Strictly speaking, we should impose the constraint at the Hilbert space level and identify the gauge-invariant generators to recover the tensor product Hilbert space after gauging

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source=pdf_text observed=2026-08-10T23:26:36.416161Z digest=sha256:f906f1385e5199abae553f7090f7be67dc7bee61407da1a2044e8c6cbf3b9205

Observation 335576d8-77a9-4c01-aa9a-63df08ef73c8 · outbound

This paper cites Some universal properties of Levin-Wen models.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Some universal properties of Levin-Wen models

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source=pdf_text observed=2026-08-10T23:26:36.421571Z digest=sha256:817cf0f3ca3078408c4f8e8677dc37cfef579c055e485d5331d0fbf6fc3b820f

Observation c49fdde2-1a32-4c2f-abc3-85a9820593b5 · outbound

This paper cites Tube Category, Tensor Renormalization and Topological Holography.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Tube Category, Tensor Renormalization and Topological Holography

Reference 75

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source=pdf_text observed=2026-08-10T23:26:36.426630Z digest=sha256:7bd35aab8d76873565cd1779afe237857f9ddfc435a5ddb0f6e540cdd26e27fb

Observation 8f854a24-cec4-4d24-b2c1-a45cfe9ce4e0 · outbound

This paper cites Etingof, S.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Etingof, S

Reference 76

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source=pdf_text observed=2026-08-10T23:26:36.431710Z digest=sha256:45409807f3485bd20ad13cc493a6fc9ff456bc2d6da94b980316a4bac894c687

Observation e05b2de3-5405-41d9-b2dd-88e378d0d914 · outbound

This paper cites Weak Hopf Algebras I: Integral Theory and C^*-structure.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Weak Hopf Algebras I: Integral Theory and C^*-structure

Reference 77

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local_arxiv, observed 2026-08-10T23:26:37.710621Z

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source=pdf_text observed=2026-08-10T23:26:36.435902Z digest=sha256:9cbefcae6591119afee5d87dd6766360944568063ee3ab97df699ccfe1619802

Observation 53ce09b6-e48a-4b98-b3f1-e0cc5771ea97 · outbound

This paper cites Finite Quantum Groupoids and Their Applications.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Finite Quantum Groupoids and Their Applications

Reference 78

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local_arxiv, observed 2026-08-10T23:26:37.686056Z

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source=pdf_text observed=2026-08-10T23:26:36.440397Z digest=sha256:5fb9f78391cc4aab1b69c4ae3b06392c3e508066dcbf9db30114277e4cef2d32

Observation 8b072965-a100-4b09-8223-fa28572f28c1 · outbound

This paper cites an unresolved cited work.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Unresolved cited work

Reference 79

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source=pdf_text observed=2026-08-10T23:26:36.444834Z digest=sha256:5f0dd397c69f74c320215e98173580253d2357bb76887c5ca049f73f4a26e86f

Observation b70e06eb-fc12-42a2-ba63-ce2272086e45 · outbound

This paper cites Matrix quantum groups as matrix product operator representations of Lie groups.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Matrix quantum groups as matrix product operator representations of Lie groups

Reference 80

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local_arxiv, observed 2026-08-10T23:26:37.660125Z

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source=pdf_text observed=2026-08-10T23:26:36.448936Z digest=sha256:cc7a6b5d26b331bf9d8a2a7fb819f14dae4c6737f0a48292a0147f70406268f6

Observation 3ca2826c-9177-40cb-ae05-28d1e36bc260 · outbound

This paper cites Kapustin, N.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Kapustin, N

Reference 81

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source=pdf_text observed=2026-08-10T23:26:36.453633Z digest=sha256:a67ada991bb17ab684a9155d8d73492a615df3540335017b2f0374c699bd5d4c

Observation ac4305f3-a5fb-4b54-9800-26565fd68e1d · outbound

This paper cites Haag and D.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Haag and D

Reference 82

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source=pdf_text observed=2026-08-10T23:26:36.458109Z digest=sha256:5faff1096ad60a5562ca6f3c97542e84d957d984d4d83221b21e05cb78502cac

Observation dcc805c7-8de7-47b8-9917-b9ea2fd0549d · outbound

This paper cites Bratteli and D.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Bratteli and D

Reference 83

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source=pdf_text observed=2026-08-10T23:26:36.462857Z digest=sha256:1c6c3092544b4deed6fbba2ba6fd334eb305185ca2c317935ced295b332059e2

Observation 1bec664c-be4e-4e55-9bf6-35d2da71eb55 · outbound

This paper cites Bratteli and D.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Bratteli and D

Reference 84

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source=pdf_text observed=2026-08-10T23:26:36.467045Z digest=sha256:ca9f1a77174eb1745e982db95524439417281524859d81141b79ea13efeeaa1b

Observation 005d7821-125e-422f-b4ba-efb3d9d1e173 · outbound

This paper cites Alicki, M.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Alicki, M

Reference 85

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source=pdf_text observed=2026-08-10T23:26:36.471445Z digest=sha256:36ded47d9bd8df688c18d06f9573939b345bd8f77abed5ee506d1abba8c859bf

Observation 3678099b-89e7-498b-a1da-6632f086399f · outbound

This paper cites unique ground state.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry unique ground state

Reference 86

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source=pdf_text observed=2026-08-10T23:26:36.475640Z digest=sha256:2e69824e60b13b7c52d74ec82b8dc550e54746b37de6b3c06afc08944804327d

Observation 15b78b9f-7c80-46dc-bc80-fd6a9ae36134 · outbound

This paper cites an unresolved cited work.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Unresolved cited work

Reference 87

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source=pdf_text observed=2026-08-10T23:26:36.479855Z digest=sha256:db560be1662f7a9cf865a44c1586b4e63db15f99185453b0276e146bc481d760

Observation 24b99264-84b0-4d01-a6eb-cba83dcd433b · outbound

This paper cites Evenbly and G.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Evenbly and G

Reference 88

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verified exact
doi, observed 2026-08-10T23:26:36.781113Z

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No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-10T23:26:36.484432Z digest=sha256:4c1ced84948959ba9bc8aee2ee219ba52d620a1ad6529566d7687f33d307040e

Observation bd63b7e7-c8cb-4e6e-94f1-bd5fc9ff8b6e · outbound

This paper cites Tensor network renormalization: application to dynamic correlation functions and non-hermitian systems.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Tensor network renormalization: application to dynamic correlation functions and non-hermitian systems

Reference 89

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source=pdf_text observed=2026-08-10T23:26:36.489741Z digest=sha256:1baacd3e802c60bddcff5c034255dc0fff4e0083cde9599963b99f9aabbf87f0

Observation 6ce59edf-4161-4e0f-9c7f-22cfd03c9737 · outbound

This paper cites an unresolved cited work.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Unresolved cited work

Reference 90

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source=pdf_text observed=2026-08-10T23:26:36.494630Z digest=sha256:e359aded948df9835d12ed4a4caeebd089edd20d7b5cc19832bb76678ea84be7

Observation 7ebdd8c1-5797-44ac-98fc-094c15a63f90 · outbound

This paper cites Wen, 1+1d spt for non-invertible symme- try – a holographic point of view (2024), available at https://drive.google.com/file/d/1RbZ_jDMJfZtwUuX8Ie1Htfdjcyp1nJ0C/view.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Wen, 1+1d spt for non-invertible symme- try – a holographic point of view (2024), available at https://drive.google.com/file/d/1RbZ_jDMJfZtwUuX8Ie1Htfdjcyp1nJ0C/view

Reference 91

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source=pdf_text observed=2026-08-10T23:26:36.499470Z digest=sha256:5eb27412ca881fb9937fd20ae9e0f9f6789dcdd6a933d5f3fd80011eb733cb82

Observation b3c1d2f2-17ae-4eab-9226-e1c239e23023 · outbound

This paper cites Kong, X.-G.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Kong, X.-G

Reference 92

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source=pdf_text observed=2026-08-10T23:26:36.504152Z digest=sha256:65fbe3047a2cf16ee2d10477201aa899840fad8bb758f79321130fab394b089d

Observation b9070b34-2cfc-408c-a836-c62ef3b94f1b · outbound

This paper cites an unresolved cited work.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Unresolved cited work

Reference 93

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source=pdf_text observed=2026-08-10T23:26:36.509034Z digest=sha256:3baebd13d3a94b80c4f8d3f6a1c8f648d131eba231f1ae3ac268146fe4693aa8

Observation ad9d9641-b0de-4fbd-9780-f05e03ca3231 · outbound

This paper cites Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Fermionic Non-Invertible Symmetries in (1+1)d: Gapped and Gapless Phases, Transitions, and Symmetry TFTs

Reference 94

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source=pdf_text observed=2026-08-10T23:26:36.513811Z digest=sha256:0d2cfcb318d050de14e6e70207e90d4f93d4160d6f2474f7a952fb3b5f85f63f

Observation ace0e726-b225-4820-b79a-afa50f846c8e · outbound

This paper cites Topological holography for fermions.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Topological holography for fermions

Reference 95

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source=pdf_text observed=2026-08-10T23:26:36.518778Z digest=sha256:b34acf99e2f00251ed40c5d62d2b81c3ea1b7fdbeb0cbede6e409d0f4cbe01ef

Observation 4224574f-03da-4d13-9d4e-ee9941f22f9a · outbound

This paper cites Inamura, Fermionization of fusion category symme- tries in 1+1 dimensions (2023), arXiv:2206.13159 [cond– mat.str-el].

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Inamura, Fermionization of fusion category symme- tries in 1+1 dimensions (2023), arXiv:2206.13159 [cond– mat.str-el]

Reference 96

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source=pdf_text observed=2026-08-10T23:26:36.523954Z digest=sha256:e21c374096b8122cf7d1290afaf824804ff29527f30d594e4c712a66cb5835be

Observation 466ba3c1-d94a-49bc-a3ae-7e46d9dba30c · outbound

This paper cites an unresolved cited work.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Unresolved cited work

Reference 97

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source=pdf_text observed=2026-08-10T23:26:36.530271Z digest=sha256:1c2574f932b58c02d75a4ae0343b7123ee3d01a9299f7b94f084ef8451d627b0

Observation 3a470faf-6ba6-470c-81cd-462f8cb0a9fe · outbound

This paper cites Kelly, Basic Concepts of Enriched Category Theory , Lecture Notes in Mathematics, Vol.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Kelly, Basic Concepts of Enriched Category Theory , Lecture Notes in Mathematics, Vol

Reference 98

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source=pdf_text observed=2026-08-10T23:26:36.534957Z digest=sha256:0cc661903252693cebbb7b01fdfa93e3bb17691bdc95a244f334dec38a446843

Observation a7937bfe-fd02-4c78-942b-3df0406abd12 · outbound

This paper cites Fannes, B.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Fannes, B

Reference 99

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source=pdf_text observed=2026-08-10T23:26:36.625876Z digest=sha256:1c7d342724d9aee7a52aa81b42a1efbd4575d8bfe9734894d663cb84cbaf621e

Observation 8061eeea-a756-4108-935e-cd47344254e3 · outbound

This paper cites Inamura and K.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Inamura and K

Reference 100

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-10T23:26:36.543948Z digest=sha256:2e76037ef1ee878b15afd19d7df4a122e963031648665fcfd18d24811226779f

Observation dfeca08f-31d9-4248-a68f-523a207e0a7e · outbound

This paper cites Delcamp and A.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Delcamp and A

Reference 101

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no resolver link, observed 2026-08-10T23:26:36.548755Z

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source=pdf_text observed=2026-08-10T23:26:36.548755Z digest=sha256:b1311f226256ac696f4ff005ce92c369a3e9b00d2065a08cfba60622031276a7

Observation 67b4c167-ece8-4aa0-a646-0aaeba060e82 · outbound

This paper cites Fusion 2-categories and a state-sum invariant for 4-manifolds.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Fusion 2-categories and a state-sum invariant for 4-manifolds

Reference 102

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source=pdf_text observed=2026-08-10T23:26:36.552972Z digest=sha256:43fd4f657fbaa8c360e5fe0434fbe0f56fdcfb0b9a6f91216f5b7507cd6790f7

Observation 19e9591d-5f5d-40fd-bb0c-3c39d55f233b · outbound

This paper cites Feiguin, S.

Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry Feiguin, S

Reference 103

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source=pdf_text observed=2026-08-10T23:26:36.557354Z digest=sha256:999ba75bf21c5791e706d2aab8ada652851f6cf4f66fcbe299f7e561f42c6798

Pith citing papers

Observation 8016f614-2ad0-456f-b77f-80b889ede1a4 · inbound

Tube Category, Tensor Renormalization and Topological Holography cites this paper.

Tube Category, Tensor Renormalization and Topological Holography Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry

Reference 28

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no resolver link, observed 2026-08-11T19:09:11.712924Z

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source=pdf_text observed=2026-08-11T19:09:11.712924Z digest=sha256:bd4e6b90ff59649bab263a9007405b9d63b392e830b2f35c08192a41cb8f3ae7

Observation 9dafe8aa-a44e-4ab8-b633-eb643600fb87 · inbound

Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant cites this paper.

Gauging or extending bulk and boundary conformal field theories: Application to bulk and domain wall problem in topological matter and their descriptions by (mock) modular covariant Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry

Reference 226

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source=pdf_text observed=2026-08-11T00:19:12.568305Z digest=sha256:a40d600f9ac947cd1301119209c6278f2243328ba1abeb2a7d191e5db07c6e64

Observation df9f287f-60a2-442c-902d-376f05a5bbb2 · inbound

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

SymSETs and self-dualities under gauging non-invertible symmetries Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry

Reference 100

Resolution
unresolved
no resolver link, observed 2026-08-10T20:40:50.348487Z

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source=pdf_text observed=2026-08-10T20:40:50.348487Z digest=sha256:6bdf4516321724dea38dff857f52786dd606e32dc87e2f2f5d0e63330b5619c5

Observation 40da328a-6676-43fa-b6f0-1e06607c4efb · inbound

Symmetry Spans and Enforced Gaplessness cites this paper.

Symmetry Spans and Enforced Gaplessness Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry

Reference 131

Resolution
verified exact
arxiv_id, observed 2026-05-16T03:27:13.399894Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-05-16T03:25:08.257953Z digest=sha256:2a4149b7d89aa8be0bfaf0c3b0af8de2ce8235848a459a0e3cdcfbf2ba4cd530

Observation 50a20201-cd21-4d42-b0fa-e6b10a2359e3 · inbound

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions cites this paper.

Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions Non-invertible SPTs: an on-site realization of (1+1)d anomaly-free fusion category symmetry

Reference 70

Resolution
verified exact
arxiv_id, observed 2026-07-01T15:55:48.931382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-07-01T15:54:25.827770Z digest=sha256:4badef96e5c7ad0eb07cd1859e1021d1e0d7141802c3e38e624bd8e198526bcb