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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=sha256:688b37c9c8122f65a514b28ed3338e25b04af1c02a94d43e62d99a2ccd6d235a

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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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:c274665fcd3a808765bd562131dea2c29edbb1cafec02020d7ebe310ec7fbf44

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

Resolution
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:bac983fbd60329cdbcf87e8dc444d5be18825285239f9b1dd419a059a1360515

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

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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:fbbeaa2f2fb0fd1091bdc427e24527f55d934e1fee5fd75b940fc95097b6b091

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=sha256:9c607246f2d5dd809c083f3226e2204c7e68c868f9f37bd9c5d4d344fd0a224e

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:c2fa11c7331b546db6c06280b3cc82fb4e431f22205cf4a6029f9769b5e67215

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=sha256:8257886ec3d9819f337185ebc84bf1e31b8a727e818a34255f6cc87cf6be7a37

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=sha256:78bd4934ccfc32db790ee0afef6646d43ca3bcdb9ea5690133868e029021bc53

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=sha256:948793804af2a243e2e9797dcb8709e3adea65e827498e1854be95ef14a5584c

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=sha256:3fba7f0e055492b259bd08193be7bcd4348a84e5c3070c01123eac8528dd02e2

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=sha256:2226d10dcc253bbab70765908fe9f6789721737313e7f716672df32dad09ceee

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:e38430a8488d47a7d63a8e2c6c5a17d9eb600443b0a71135738f9518059efbb2

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=sha256:0f015986e9ad0b3d0a38e6fb99ef7c3a31b7759b2cb54008c323b3a3a6c53cb7

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.

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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=sha256:817e1155b496851769a465e60dd782aca4da682270b9d17dcc82d5f2f7635a07

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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