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Paper Citation Record · LEDGER

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

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 20 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

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Source: paper_references, paper_reference_links

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 20 of 20 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-12T10:47:19.955675Z

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

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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

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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 2026-08-14T06:32:32.682623+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

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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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-24T01:16:57.628200Z digest=sha256:f4d842f6abcc1ee44393a45c84e633c4163d5ea432e1c2536019ffbc980a226e

Observation 0e694229-50e8-405c-b499-9016aa152b8e · inbound

Noninvertible Symmetry-Enriched Quantum Critical Point cites this paper.

Noninvertible Symmetry-Enriched Quantum Critical Point Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 27

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unresolved
no resolver link, observed 2026-08-12T10:47:19.955675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T10:47:19.955675Z digest=sha256:b796ff03f00613990b64e8993277112455136a7881b6ebeb7eb8b062bb104bcc

Observation 7024136b-f6e9-4616-817f-46947ddcd2b0 · inbound

Twisted gauging and topological sectors in (2+1)d abelian lattice gauge theories cites this paper.

Twisted gauging and topological sectors in (2+1)d abelian lattice gauge theories Dualities in one-dimensional quantum lattice models: symmetric Hamiltonians and matrix product operator intertwiners

Reference 49

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unresolved
no resolver link, observed 2026-08-10T13:38:16.888308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=arxiv_source observed=2026-08-10T13:38:16.888308Z digest=sha256:3699741d8cea6f50ec0b6d6761b30c5d747146269bd220361fddbcd4de3fde6f

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=sha256:670e8e8ca7e9e333e1b9c363e061672fc7acb379533fec4d782a9aac547778ff

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 2026-08-14T06:32:32.682623+00:00.

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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
no resolver link, observed 2026-08-06T21:09:16.913015Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T21:09:16.913015Z digest=sha256:aefd1de11f778213df3f6cf51816ea952289b74bc98b15eff2691f0a620d82c7

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.

source=pdf_text observed=2026-08-06T19:35:34.819164Z digest=sha256:21923285ea1a13ebb01b57e0932722a1a5915c0843b4130b62307944c05a2633

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=sha256:97232c6c2e1ca3c900d32fc9774cd4e3262a660bbc02ce929ca3b75f8f0ce113

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=sha256:99c5c57c1ee23416decea9e6eefdfe77fbb272e1f2f5dd18205709cfc629808c

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-10T13:50:44.660024Z digest=sha256:e2f0de9c5b3c72278def6d8e0b5ede98417a12e8d941fdba8f43e67925a1e6a3

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-11T03:23:34.161611Z digest=sha256:91d2de33235f7b2587460a5bcf6e6508c85f2624e9eb4ade48b19837468b11bb

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-05-20T22:59:26.266718Z digest=sha256:4ca4d3a06cb930897d7e0f0fd451dd51d529daaecc4eea84339c4a74008b8122

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-30T23:13:18.266390Z digest=sha256:2d35ec30ce789f82edfbf5609de8d3c326ef77b5f03c063f210a9a8e39a56e23

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.

source=pdf_text observed=2026-08-04T05:19:22.923936Z digest=sha256:7c7d09256fafb7ef5d793d3b7714630f6d34abaa6f44cd83e63c4f8d10b0c81a

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 2026-08-14T06:32:32.682623+00:00.

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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 2026-08-14T06:32:32.682623+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.

source=pdf_text observed=2026-08-02T10:15:05.010880Z digest=sha256:1a83cbf3519f1ed6bc0ae4542943698c4059c1fcbaeb905dc1c1b56700f25059

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=sha256:7fded78f1fae7600a83700328de0296251cb9d1ea7461103440dcff9a7d8c586

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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