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Paper Citation Record · LEDGER

Higher symmetries and anomalies in quantum lattice systems

As of 21 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 18 inbound Pith citation observations for arXiv:2505.04719.

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

pith.paper-citation-record.v1
2505.04719 v2

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measured 25 of 25 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-15T23:28:21.916531Z

measured 43 of 43 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 18 of 18 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:19:53.088225Z

measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-07-04T03:19:31.786105Z

Reference resolution

25 of 25 outbound references displayed

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Outbound references

Observation bff33a57-bb04-4a00-a451-7d4a03b35a79 · outbound

This paper cites An Algebraic Approach to Quantum Field Theory.Journal of Mathematical Physics, 5(7):848–861, July 1964.

Higher symmetries and anomalies in quantum lattice systems An Algebraic Approach to Quantum Field Theory.Journal of Mathematical Physics, 5(7):848–861, July 1964

Reference 1

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Observation 9082bee7-35e4-403e-a001-2cd894560602 · outbound

This paper cites Gen- eralized global symmetries.Journal of High Energy Physics, 2015:172, February 2015.

Higher symmetries and anomalies in quantum lattice systems Gen- eralized global symmetries.Journal of High Energy Physics, 2015:172, February 2015

Reference 2

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Observation 00a4de1b-9116-4f38-aa68-7c897765ca17 · outbound

This paper cites Else and Chetan Nayak.

Higher symmetries and anomalies in quantum lattice systems Else and Chetan Nayak

Reference 3

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Observation bb3095c1-a442-4b24-9e33-2d436698cbac · outbound

This paper cites Anomalous symmetries of quantum spin chains and a generalization of the Lieb-Schultz-Mattis theorem.

Higher symmetries and anomalies in quantum lattice systems Anomalous symmetries of quantum spin chains and a generalization of the Lieb-Schultz-Mattis theorem

Reference 4

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source=pdf_text observed=2026-08-15T23:28:21.819006Z digest=sha256:3831269d596ef2c42758c1f324f42fea7b7a05ff3a23e382d51f4f23fbdd5c3b

Observation fc5a7e73-57fd-44a6-b759-3c933ea4e972 · outbound

This paper cites Disentangling anomaly-free symmetries of quantum spin chains.

Higher symmetries and anomalies in quantum lattice systems Disentangling anomaly-free symmetries of quantum spin chains

Reference 5

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source=pdf_text observed=2026-08-15T23:28:21.824450Z digest=sha256:aad35da91087c165b4b069bc581822bc9096820bca2682df277f1fd3321ee3d8

Observation 59210046-3cb0-4b50-80e0-876927a752fc · outbound

This paper cites Classification of locality preserving symmetries on spin chains.

Higher symmetries and anomalies in quantum lattice systems Classification of locality preserving symmetries on spin chains

Reference 6

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source=pdf_text observed=2026-08-15T23:28:21.829063Z digest=sha256:9060e5309b152eae877e0d464537937ad84f8848f491fb890704ce655c8d2ece

Observation a493a14b-adf0-4f2c-a40a-41ac281ae640 · outbound

This paper cites an unresolved cited work.

Higher symmetries and anomalies in quantum lattice systems Unresolved cited work

Reference 7

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Observation 071241a7-b643-431c-acaa-f86655e39b0a · outbound

This paper cites Conduch´ e.

Higher symmetries and anomalies in quantum lattice systems Conduch´ e

Reference 8

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Observation 17136039-9f74-45d8-ba8f-ae9a23be6c81 · outbound

This paper cites Generalized Statistics on Lattices.arXiv e-prints, page arXiv:2412.01886, December 2024.

Higher symmetries and anomalies in quantum lattice systems Generalized Statistics on Lattices.arXiv e-prints, page arXiv:2412.01886, December 2024

Reference 9

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source=pdf_text observed=2026-08-15T23:28:21.843913Z digest=sha256:ab29bbbefdfd38eb62bd4f6a95ab2c8ee060922ead54f3be01026fb9e39d7d4b

Observation c627076d-95c2-46f5-9dc8-2fc76032e918 · outbound

This paper cites Czajka, R.

Higher symmetries and anomalies in quantum lattice systems Czajka, R

Reference 10

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Observation 13222d67-3039-484a-b55d-7dccc2de3770 · outbound

This paper cites Anomaly diagnosis via symmetry restriction in two-dimensional lattice systems.

Higher symmetries and anomalies in quantum lattice systems Anomaly diagnosis via symmetry restriction in two-dimensional lattice systems

Reference 11

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Observation 934d3977-0080-4c16-b7dd-3a0f8fd33379 · outbound

This paper cites Gross, V.

Higher symmetries and anomalies in quantum lattice systems Gross, V

Reference 12

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Observation 0f77324c-e3f9-4810-b7b1-132d6c27829b · outbound

This paper cites A mathematical theory of topological invariants of quantum lattice systems.

Higher symmetries and anomalies in quantum lattice systems A mathematical theory of topological invariants of quantum lattice systems

Reference 13

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Observation 3f04cc4f-c7cb-4f79-9746-9c91b65f0263 · outbound

This paper cites Anomalous edge states and the bulk-edge correspondence for periodically-driven two dimensional systems.

Higher symmetries and anomalies in quantum lattice systems Anomalous edge states and the bulk-edge correspondence for periodically-driven two dimensional systems

Reference 14

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Observation 85c54400-8960-4f7f-8721-694d1521e473 · outbound

This paper cites Potter, and Ashvin Vishwanath.

Higher symmetries and anomalies in quantum lattice systems Potter, and Ashvin Vishwanath

Reference 15

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Observation 722f5f15-ad56-4ad2-8805-8a8f9812ec0f · outbound

This paper cites Floquet Topological Order in Interacting Systems of Bosons and Fermions.Phys.

Higher symmetries and anomalies in quantum lattice systems Floquet Topological Order in Interacting Systems of Bosons and Fermions.Phys

Reference 16

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Observation 3aa598b7-5a93-4b7d-bf01-a801ec4e05cb · outbound

This paper cites Anomaly-free symmetries with obstructions to gauging and onsiteability.

Higher symmetries and anomalies in quantum lattice systems Anomaly-free symmetries with obstructions to gauging and onsiteability

Reference 17

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source=pdf_text observed=2026-08-15T23:28:21.878357Z digest=sha256:bfeab96527670be6cc70d0e871874d864f74025fd40b7e9dc36d94089d140e48

Observation f0794a2e-fa89-4970-938e-0239b8682b83 · outbound

This paper cites Long, and Dominic V.

Higher symmetries and anomalies in quantum lattice systems Long, and Dominic V

Reference 18

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source=pdf_text observed=2026-08-15T23:28:21.882696Z digest=sha256:d4cc40b9ae672070071a121e5a3d2afa9f869a8a6ae68c0539fc4da76e4c8b7b

Observation bf7914e6-ae59-4110-adca-5a1980fe0930 · outbound

This paper cites Springer- Verlag, New York, 1971.

Higher symmetries and anomalies in quantum lattice systems Springer- Verlag, New York, 1971

Reference 19

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Observation d5d3cc37-7068-41ea-8f20-63ba2ceea089 · outbound

This paper cites Higher-Dimensional Algebra V: 2-Groups.

Higher symmetries and anomalies in quantum lattice systems Higher-Dimensional Algebra V: 2-Groups

Reference 20

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source=pdf_text observed=2026-08-15T23:28:21.891436Z digest=sha256:6ca24116291aa83920150df8c890d20e6fe10358964642cfd7467214e1ea4113

Observation a68c17f5-4a7b-478b-abec-039c65f1ed68 · outbound

This paper cites On weak maps between 2-groups.

Higher symmetries and anomalies in quantum lattice systems On weak maps between 2-groups

Reference 21

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Observation 228a23e0-700f-49d9-9e1b-11b8d02ba758 · outbound

This paper cites Obstruction ` a l’excision en K-th´ eorie alg´ ebrique.

Higher symmetries and anomalies in quantum lattice systems Obstruction ` a l’excision en K-th´ eorie alg´ ebrique

Reference 22

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Observation d4b73688-43e0-47f3-960b-b017a1846445 · outbound

This paper cites Conduch´ e.

Higher symmetries and anomalies in quantum lattice systems Conduch´ e

Reference 23

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Observation dd608a27-f828-4871-981d-7be8431599df · outbound

This paper cites Arvasi and E.

Higher symmetries and anomalies in quantum lattice systems Arvasi and E

Reference 24

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Observation 3f38a9dc-6f37-43bf-bd93-b19a1fb46116 · outbound

This paper cites Local Noether theorem for quantum lattice systems and topological invariants of gapped states.J.

Higher symmetries and anomalies in quantum lattice systems Local Noether theorem for quantum lattice systems and topological invariants of gapped states.J

Reference 25

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Pith citing papers

Observation cb774d95-1561-493d-87e4-d524e463298e · inbound

Anomaly diagnosis via symmetry restriction in two-dimensional lattice systems cites this paper.

Anomaly diagnosis via symmetry restriction in two-dimensional lattice systems Higher symmetries and anomalies in quantum lattice systems

Reference 30

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source=pdf_text observed=2026-08-06T18:49:51.475783Z digest=sha256:6cd813f7b68d8d6f857eebeb520471adbedb587da290807571fcbd36fb1e4f02

Observation e327e005-ece0-45e2-8169-ab44fdec87bd · inbound

Anomaly-free symmetries with obstructions to gauging and onsiteability cites this paper.

Anomaly-free symmetries with obstructions to gauging and onsiteability Higher symmetries and anomalies in quantum lattice systems

Reference 31

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source=pdf_text observed=2026-08-06T13:17:31.407127Z digest=sha256:ec6d5c8ee37f90c854b0eeca93385f8bb6da4d7e97b4de2823cb392f84a1b38e

Observation 25c72c2e-f3a2-43ca-ae8b-2468e3c4e00f · inbound

Onsiteability of Higher-Form Symmetries cites this paper.

Onsiteability of Higher-Form Symmetries Higher symmetries and anomalies in quantum lattice systems

Reference 4

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Observation 5148c9da-305e-439a-9532-77834d6293cf · inbound

Pauli stabilizer formalism for topological quantum field theories and generalized statistics cites this paper.

Pauli stabilizer formalism for topological quantum field theories and generalized statistics Higher symmetries and anomalies in quantum lattice systems

Reference 91

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source=pdf_text observed=2026-08-03T13:17:56.925458Z digest=sha256:c70edaf39d51e85aa711d6f05c0eb61cc7b7751761979b55e8cc9a970a7b4746

Observation 17cba45f-0e64-4835-9957-75fcfdb70610 · inbound

Exactly Solvable 1+1d Chiral Lattice Gauge Theories cites this paper.

Exactly Solvable 1+1d Chiral Lattice Gauge Theories Higher symmetries and anomalies in quantum lattice systems

Reference 34

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source=pdf_text observed=2026-08-03T09:26:55.438236Z digest=sha256:b5874ce697f799d8f954dfba037744dc6c78038cd4a9f43bfd2120827cf0edf1

Observation e9f8206e-e9ae-4cc3-938a-103dde65b990 · inbound

Symmetry Spans and Enforced Gaplessness cites this paper.

Symmetry Spans and Enforced Gaplessness Higher symmetries and anomalies in quantum lattice systems

Reference 133

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Observation db379060-8c68-4c4f-8dfa-8b3b2e9b1b21 · inbound

Lieb-Schultz-Mattis Anomalies and Anomaly Matching cites this paper.

Lieb-Schultz-Mattis Anomalies and Anomaly Matching Higher symmetries and anomalies in quantum lattice systems

Reference 42

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Observation 6ce6cbe1-0f2c-43dd-8631-7756a7778ba6 · inbound

Type-IV 't Hooft Anomalies on the Lattice: Emergent Higher-Categorical Symmetries and Applications to LSM Systems cites this paper.

Type-IV 't Hooft Anomalies on the Lattice: Emergent Higher-Categorical Symmetries and Applications to LSM Systems Higher symmetries and anomalies in quantum lattice systems

Reference 28

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Observation 40c3b68d-b362-4023-ae03-ab9d7f5c506b · inbound

Parameterized Families of Toric Code Phase: $em$-duality family and higher-order anyon pumping cites this paper.

Parameterized Families of Toric Code Phase: $em$-duality family and higher-order anyon pumping Higher symmetries and anomalies in quantum lattice systems

Reference 99

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Observation 4044582e-cc32-4c64-a260-674eb6ba2b3c · inbound

When Symmetries Twist: Anomaly Inflow on Monodromy Defects cites this paper.

When Symmetries Twist: Anomaly Inflow on Monodromy Defects Higher symmetries and anomalies in quantum lattice systems

Reference 113

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Observation 63fa9a06-02a6-478c-829c-21ebe0e73431 · inbound

When Symmetries Twist: Anomaly Inflow on Monodromy Defects cites this paper.

When Symmetries Twist: Anomaly Inflow on Monodromy Defects Higher symmetries and anomalies in quantum lattice systems

Reference 113

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arxiv_id, observed 2026-07-01T14:55:47.669570Z

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Observation 2b8e18a1-df50-4c26-905f-6c3f173cc44a · inbound

A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems cites this paper.

A local description of strong symmetries and strong-to-weak symmetry breaking in quantum many-body systems Higher symmetries and anomalies in quantum lattice systems

Reference 91

Resolution
verified exact
arxiv_id, observed 2026-06-29T11:43:23.186540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 2ed833cc-5eb7-40d1-82fa-a3eeea0020a1 · inbound

Invariants of Sequential Circuits and Generalized Non-Abelian Statistics cites this paper.

Invariants of Sequential Circuits and Generalized Non-Abelian Statistics Higher symmetries and anomalies in quantum lattice systems

Reference 60

Resolution
verified exact
arxiv_id, observed 2026-07-03T12:58:08.444661Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation fdbb380e-c689-4158-9282-8d88a3e670e4 · inbound

Infinite-Order Lattice Chiral Anomalies and CPT cites this paper.

Infinite-Order Lattice Chiral Anomalies and CPT Higher symmetries and anomalies in quantum lattice systems

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-07-03T12:08:06.526945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation 0cda7582-16ae-491e-8087-0901ef5e66cc · inbound

$K$-Theoretic Obstructions to Linearizing QCA Representations cites this paper.

$K$-Theoretic Obstructions to Linearizing QCA Representations Higher symmetries and anomalies in quantum lattice systems

Reference 13

Resolution
metadata mismatch
arxiv_id, observed 2026-07-04T03:19:31.788185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

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Observation cbd15548-d93e-49ce-b881-d1f1fadc2e1e · inbound

Bockstein braiding statistics cites this paper.

Bockstein braiding statistics Higher symmetries and anomalies in quantum lattice systems

Reference 26

Resolution
unresolved
no resolver link, observed 2026-08-02T09:04:47.798152Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T09:04:47.798152Z digest=sha256:675e9693b742ee02500f03a0a51fcfd4dd2a9a84739870f9ab9809139503d166

Observation c1705d5e-4058-4458-9c61-5554915073f7 · inbound

Non-Clifford quantum cellular automata from invertible topological quantum field theories cites this paper.

Non-Clifford quantum cellular automata from invertible topological quantum field theories Higher symmetries and anomalies in quantum lattice systems

Reference 24

Resolution
unresolved
no resolver link, observed 2026-08-01T07:02:34.662517Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T07:02:34.662517Z digest=sha256:2783cd32820906e95de3701940e81e37d8a5ca3c1677a35344531bb639d650d1

Observation a2eabb88-e7ab-4420-9ca3-61218dd6562e · inbound

Fermionic Anomalies of Finite Symmetries on Lattices cites this paper.

Fermionic Anomalies of Finite Symmetries on Lattices Higher symmetries and anomalies in quantum lattice systems

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-16T00:19:53.088225Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:19:53.088225Z digest=sha256:ccaac0c8ae16e7f8b0edadfed92508989d08aaddbd1fcc029a2a6dc45cdc7f3a