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Paper Citation Record · LEDGER

Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

As of 8 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 18 inbound Pith citation observations for arXiv:2112.09091.

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

pith.paper-citation-record.v1
2112.09091 v4

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

measured 18 of 18 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:30:31.655431Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T20:40:08.386871Z

Reference resolution

0 of 0 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 544cb2fc-c661-4fbd-8993-dd508fd13705 · inbound

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

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 191

Resolution
verified exact
arxiv_id, observed 2026-05-24T07:34:09.200336Z

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.

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Observation c26c466e-aa8c-4093-98ec-2627ad2774c2 · inbound

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

Lattice Models for Phases and Transitions with Non-Invertible Symmetries Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 66

Resolution
verified exact
arxiv_id, observed 2026-05-24T01:18:42.738448Z

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:c1c6029b41da3ce45e35283ab61cee6ad4dedd6de6e1a2c99e43ea4e9e1e0e2b

Observation 902bc598-e927-472b-9cd8-57bac69759a3 · inbound

Exact Quantum Many-Body Scars in 2D Quantum Gauge Models cites this paper.

Exact Quantum Many-Body Scars in 2D Quantum Gauge Models Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 85

Resolution
unresolved
no resolver link, observed 2026-08-07T13:30:31.655431Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:30:31.655431Z digest=sha256:b6e6574e038f1d13c001be873847a7c96009324b6770bf120027b4b9d936ad20

Observation 4c1c5925-3fbc-42a8-8c2c-5ca23a0f2968 · inbound

Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders cites this paper.

Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 144

Resolution
verified exact
arxiv_id, observed 2026-05-19T08:07:11.598093Z

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=2026-05-19T08:04:49.812169Z digest=sha256:b56d3bc2ed36836613c90c9c78beeec0416e7335882b1ab6dec0d1b6c512be04

Observation af795c2f-c956-4756-aa2d-5c006808b91c · inbound

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders cites this paper.

Gauging Non-Invertible Symmetries in (2+1)d Topological Orders Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 96

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:09:16.913015Z digest=sha256:772cc8d3b707e591c05c5c67ec83288876a43eccc9e739c95a61782390e473ce

Observation fdd511d3-7782-4c7b-bcdb-d57652046f27 · inbound

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

SymTFT Approach for Mixed States with Non-Invertible Symmetries Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 78

Resolution
unresolved
no resolver link, observed 2026-08-06T19:35:34.819164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation b03c7fe4-03b3-4118-8383-177cb82570b1 · inbound

Integrability and lattice discretizations of all Topological Defect Lines in minimal CFTs cites this paper.

Integrability and lattice discretizations of all Topological Defect Lines in minimal CFTs Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 80

Resolution
unresolved
no resolver link, observed 2026-08-05T10:21:55.851912Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T10:21:55.851912Z digest=sha256:53d76fab139549cb26996a644c48283aec2497de6b09ebd00cddc58ae1ee3cd6

Observation a9125b46-e635-46f5-9e4f-c82addaf57e3 · inbound

Les Houches Lecture Notes on Tensor Networks cites this paper.

Les Houches Lecture Notes on Tensor Networks Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 196

Resolution
unresolved
no resolver link, observed 2026-08-03T13:35:49.568642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-03T13:35:49.568642Z digest=sha256:c9b8e82d59bfb122caeda672381dcc79d8a7770d4d8109ba925a47c5db39e1b6

Observation bdb5a989-6bab-4907-84ae-551a9ee6be9c · inbound

Hilbert Space Fragmentation from Generalized Symmetries cites this paper.

Hilbert Space Fragmentation from Generalized Symmetries Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 60

Resolution
verified exact
arxiv_id, observed 2026-05-10T14:05:29.996011Z

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=2026-05-10T13:50:44.660024Z digest=sha256:65d0249cc2d2e540042ee07b00c1f16089304040a091adee40afe4c7e5284af7

Observation 6ee6f7c1-c4f6-4969-94e5-de8e841878ef · 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 Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 51

Resolution
verified exact
arxiv_id, observed 2026-05-11T03:25:56.126146Z

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:a98ddd4127313ca4e6d3b5c33b7cfda14aa4d19e9e71092389f2b3194fc217f8

Observation fd1a7cf7-9079-43be-a0fa-8f1a118dd586 · 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 Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 51

Resolution
verified exact
arxiv_id, observed 2026-05-20T23:03:51.551094Z

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.

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Observation 7fe1cb73-14e0-47ca-9d34-bc148852d904 · 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 Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 44

Resolution
verified exact
arxiv_id, observed 2026-06-30T23:15:08.414257Z

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:a328ed96de2378b63482dd1af4f7a99b09b386e4b5052ce5340dfe79c655c95f

Observation 60cd1637-ee48-47dc-ac4a-1aabc3bda0c5 · 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 Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-04T05:19:22.923936Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 8f538196-3b7d-4abf-a40a-9c71750e479b · 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 Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 40

Resolution
metadata mismatch
arxiv_id, observed 2026-05-15T02:53:33.710065Z

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=sha256:51e04ad4788f68e1ce847c351feb1c89937f730ddc7148d69a0686adee174463

Observation b092dc29-90aa-43b4-b5f3-c823ad348b10 · inbound

Lattice non-invertible symmetry from non-commuting transfer matrices cites this paper.

Lattice non-invertible symmetry from non-commuting transfer matrices Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 42

Resolution
verified exact
arxiv_id, observed 2026-07-04T20:40:08.388443Z

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.

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Observation 70a70447-562b-429e-8666-39ae09a8cb38 · inbound

Lattice non-invertible symmetry from non-commuting transfer matrices cites this paper.

Lattice non-invertible symmetry from non-commuting transfer matrices Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-02T10:15:05.010880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 005c67a6-02ff-47f7-b643-35c931c43eb7 · inbound

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

Quantum Cellular Automata from Kramers-Wannier Dualities and Modular Relations Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T06:57:46.804801Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T06:57:46.804801Z digest=sha256:f7ce9c1f762b202d7771b51b9524d92dfe61523f2fcd3fff334dca06e4f475f7

Observation 8b0d218d-32a4-43e8-8904-c33cf390c89c · 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 Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 16

Resolution
unresolved
no resolver link, observed 2026-07-31T20:29:54.735978Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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