Paper Citation Record · LEDGER

Anomaly-free symmetries with obstructions to gauging and onsiteability

As of 8 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 13 inbound Pith citation observations for arXiv:2507.21267.

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

pith.paper-citation-record.v1
2507.21267 v1

Coverage vector

measured 65 of 65 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T13:17:31.486685Z

measured 78 of 78 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+00:00

measured 13 of 13 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T10:58:32.870611Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T12:58:08.420669Z

Reference resolution

65 of 65 outbound references displayed

verified exact1
verified fuzzy31
unresolved33
parse uncertain0
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External citation measurements

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Outbound references

Observation 721c9a77-5fe5-4b04-b017-4e6ff3463c98 · outbound

This paper cites First we choose a re- striction Ug,A of the symmetry operator Ug to a disk A: Ug,A = ˆS[{˜σz p}] ∏ p∈A σx p ˜σz p = { σz p, if p ∈ A 1, otherwise.

Anomaly-free symmetries with obstructions to gauging and onsiteability First we choose a re- striction Ug,A of the symmetry operator Ug to a disk A: Ug,A = ˆS[{˜σz p}] ∏ p∈A σx p ˜σz p = { σz p, if p ∈ A 1, otherwise

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.893009Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation dd4aba30-f74f-422a-beb5-87ed2aa17ee7 · outbound

This paper cites dynamical gaugeability.

Anomaly-free symmetries with obstructions to gauging and onsiteability dynamical gaugeability

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.886002Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a2409c5f-ce55-4b4b-90c6-b456389efce0 · outbound

This paper cites Here, we use ‘ ∝’ to denote equality up to a phase.

Anomaly-free symmetries with obstructions to gauging and onsiteability Here, we use ‘ ∝’ to denote equality up to a phase

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.866853Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation fe297e4d-93c1-472c-887e-9e25c8e9419a · outbound

This paper cites We conclude that the equivalence class [ω] ∈ H 2(G, Q+) is a well-deﬁned quantity insensitive to the particular choice of restriction.

Anomaly-free symmetries with obstructions to gauging and onsiteability We conclude that the equivalence class [ω] ∈ H 2(G, Q+) is a well-deﬁned quantity insensitive to the particular choice of restriction

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.899368Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation b8f6afb5-7e3b-496e-96ae-3da4f8f82fe4 · outbound

This paper cites an unresolved cited work.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:17:31.879624Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 63dd5851-1f7c-4b52-934f-db696f227abf · outbound

This paper cites an unresolved cited work.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:17:31.873281Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c2003229-530d-4122-809a-fd2001348d2b · outbound

This paper cites Let {gij} be a background gauge ﬁeld – that is, an as- signment of group elements to links ⟨ij⟩ with the identiﬁca- tion gij = g−1 ji.

Anomaly-free symmetries with obstructions to gauging and onsiteability Let {gij} be a background gauge ﬁeld – that is, an as- signment of group elements to links ⟨ij⟩ with the identiﬁca- tion gij = g−1 ji

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.860516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f87bb469-9887-4de7-a72b-de936438477d · outbound

This paper cites Generalized Symmetries in Quantum Field Theory.

Anomaly-free symmetries with obstructions to gauging and onsiteability Generalized Symmetries in Quantum Field Theory

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.853908Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6a745e0a-ec82-49a1-b5e1-7d2e4d05a1c0 · outbound

This paper cites Gross, V.

Anomaly-free symmetries with obstructions to gauging and onsiteability Gross, V

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.847353Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bafe340f-8deb-4b9e-8077-1c0b94dd08eb · outbound

This paper cites an unresolved cited work.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:17:31.840788Z

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Observation d41b8472-7a2f-4123-bab4-35a8565de6db · outbound

This paper cites Chen, Z.-X.

Anomaly-free symmetries with obstructions to gauging and onsiteability Chen, Z.-X

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.834352Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 37111b11-fce3-4b6e-ba4e-7cfd09a5bf1d · outbound

This paper cites Chen, Z.-C.

Anomaly-free symmetries with obstructions to gauging and onsiteability Chen, Z.-C

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.820779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 347a9512-9ecb-4a9b-b2ca-a5ba2daf1422 · outbound

This paper cites Vishwanath and T.

Anomaly-free symmetries with obstructions to gauging and onsiteability Vishwanath and T

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.814118Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 1b91b0f6-9145-436f-a4b6-65e07680018a · outbound

This paper cites Classifying symmetry-protected topological phases through the anomalous action of the symmetry on the edge.

Anomaly-free symmetries with obstructions to gauging and onsiteability Classifying symmetry-protected topological phases through the anomalous action of the symmetry on the edge

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-06T13:17:31.371479Z

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Unavailable: canonical work link unavailable.

Observation 79556746-e239-4cf5-ba3d-5d8b406dee5c · outbound

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

Anomaly-free symmetries with obstructions to gauging and onsiteability Anomalous symmetries of quantum spin chains and a generalization of the Lieb-Schultz-Mattis theorem

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-06T13:17:31.373858Z

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Unavailable: canonical work link unavailable.

Observation ff416092-fde7-42d1-afdc-3644d4f326e5 · outbound

This paper cites Non-onsite symmetry breaking: topological phase coexistence and criticality.

Anomaly-free symmetries with obstructions to gauging and onsiteability Non-onsite symmetry breaking: topological phase coexistence and criticality

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-06T13:17:31.376204Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e6858274-3546-4b15-bb0d-59d9655ed8b0 · outbound

This paper cites an unresolved cited work.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unresolved cited work

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-06T13:17:31.381470Z

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Unavailable: canonical work link unavailable.

Observation e4ba789b-66fd-49c6-a891-c15f381b5c23 · outbound

This paper cites ’t Hooft, NA TO Sci.

Anomaly-free symmetries with obstructions to gauging and onsiteability ’t Hooft, NA TO Sci

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.803423Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 540652f7-24d0-49ec-aa59-e5ce2593faf2 · outbound

This paper cites Classifying gauge anomalies through SPT orders and classifying gravitational anomalies through topological orders.

Anomaly-free symmetries with obstructions to gauging and onsiteability Classifying gauge anomalies through SPT orders and classifying gravitational anomalies through topological orders

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-06T13:17:31.569026Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 26cb25ac-cb79-4c95-8438-4f982714e4ce · outbound

This paper cites Anomalies of discrete symmetries in three dimensions and group cohomology.

Anomaly-free symmetries with obstructions to gauging and onsiteability Anomalies of discrete symmetries in three dimensions and group cohomology

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-06T13:17:31.387519Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 11e0ba79-315b-44cc-898d-661a44af4cd3 · outbound

This paper cites Anomalies of discrete symmetries in various dimensions and group cohomology.

Anomaly-free symmetries with obstructions to gauging and onsiteability Anomalies of discrete symmetries in various dimensions and group cohomology

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-06T13:17:31.389739Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c4b50c9-8fcb-44d9-aa5c-1feb993961d0 · outbound

This paper cites Seifnashri, SciPost Physics 16, 098 (2024).

Anomaly-free symmetries with obstructions to gauging and onsiteability Seifnashri, SciPost Physics 16, 098 (2024)

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.797768Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d3981db6-2554-4017-9e47-72599b853753 · outbound

This paper cites Classification of Quantum Cellular Automata.

Anomaly-free symmetries with obstructions to gauging and onsiteability Classification of Quantum Cellular Automata

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-06T13:17:31.393865Z

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Unavailable: canonical work link unavailable.

Observation 3451901c-bd81-4cf9-a03a-b3ca2be73217 · outbound

This paper cites an unresolved cited work.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:17:31.792027Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation baaeb405-f7d8-4cc5-89b1-1497458b1e30 · outbound

This paper cites an unresolved cited work.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:17:31.773621Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

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

This paper cites Higher symmetries and anomalies in quantum lattice systems.

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

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-06T13:17:31.407127Z

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Unavailable: canonical work link unavailable.

Observation 738a9e3f-f40f-4277-82cd-add225e7871c · outbound

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

Anomaly-free symmetries with obstructions to gauging and onsiteability Anomaly diagnosis via symmetry restriction in two-dimensional lattice systems

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-06T13:17:31.409328Z

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Unavailable: canonical work link unavailable.

Observation c819bcf6-822c-4bc1-9cf4-489cc55210a1 · outbound

This paper cites an unresolved cited work.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:17:31.767924Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 99266557-866b-4da8-baef-0e10375b83c9 · outbound

This paper cites equivalent.

Anomaly-free symmetries with obstructions to gauging and onsiteability equivalent

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.762294Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 545d1d27-1507-4528-a1eb-2a709f2c5dc3 · outbound

This paper cites an unresolved cited work.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:17:31.756373Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c6ff6e21-7424-4d72-b597-a959eacfe46a · outbound

This paper cites an unresolved cited work.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:17:31.749731Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0ac4fb7e-337a-480d-86a7-b95d03ea3f42 · outbound

This paper cites We now show that dynamical gaugeability implies background gaugeability.

Anomaly-free symmetries with obstructions to gauging and onsiteability We now show that dynamical gaugeability implies background gaugeability

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.744295Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation eb18a1b2-eae2-4c2b-a3a6-506b3aca8e48 · outbound

This paper cites an unresolved cited work.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unresolved cited work

Reference 38

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:17:31.738652Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 96b749da-05c5-4856-90ed-20fc6f107a6e · outbound

This paper cites symmetry disentangler.

Anomaly-free symmetries with obstructions to gauging and onsiteability symmetry disentangler

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.732780Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d00d2b8a-a391-405b-86d0-be62eeccfa6b · outbound

This paper cites bulk-boundary correspondence.

Anomaly-free symmetries with obstructions to gauging and onsiteability bulk-boundary correspondence

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.727061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7cc5372b-91a6-4176-adc8-9ebcdbf3f427 · outbound

This paper cites In the 2D honeycomb lattice system, the G-spin on each plaquette is simply a qubit, where the |1⟩ state is identiﬁed with |↑⟩ and the |g⟩ state with |↓⟩.

Anomaly-free symmetries with obstructions to gauging and onsiteability In the 2D honeycomb lattice system, the G-spin on each plaquette is simply a qubit, where the |1⟩ state is identiﬁed with |↑⟩ and the |g⟩ state with |↓⟩

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.715225Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 13e9e0ca-85bc-421c-ab0f-129e9c12bd26 · outbound

This paper cites quasi-diagonal.

Anomaly-free symmetries with obstructions to gauging and onsiteability quasi-diagonal

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.709242Z

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Observation 9ce8e3ae-890d-4941-a8cd-843898133986 · outbound

This paper cites We do this by constructing an explicit gapped, symmetric Hamil- tonian with a product state as its unique ground state.

Anomaly-free symmetries with obstructions to gauging and onsiteability We do this by constructing an explicit gapped, symmetric Hamil- tonian with a product state as its unique ground state

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.696823Z

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Observation 592d751e-2d70-4ebd-92d6-1319bf3f795a · outbound

This paper cites ﬂow” F(u) of the single particle unitary matrix ujk associated withU : Ind(U ) = 2 F (u). (77) Here the matrix ujk is deﬁned by U †cjU = ∑ jkujkck, while the “ﬂow.

Anomaly-free symmetries with obstructions to gauging and onsiteability ﬂow” F(u) of the single particle unitary matrix ujk associated withU : Ind(U ) = 2 F (u). (77) Here the matrix ujk is deﬁned by U †cjU = ∑ jkujkck, while the “ﬂow

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.690221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation dc0a1e86-ed70-4445-87d7-ba5f612ca784 · outbound

This paper cites Gross, V.

Anomaly-free symmetries with obstructions to gauging and onsiteability Gross, V

Reference 48

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.677051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 9eb8b750-872c-421e-8914-67e25201affd · outbound

This paper cites an unresolved cited work.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unresolved cited work

Reference 49

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:17:31.670261Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a3e13dfd-45eb-4121-a73a-ff88868add85 · outbound

This paper cites If we deﬁne an FDQC in terms of layers with gates that have disjoint support, then we must split each of the above six layers into two layers each.

Anomaly-free symmetries with obstructions to gauging and onsiteability If we deﬁne an FDQC in terms of layers with gates that have disjoint support, then we must split each of the above six layers into two layers each

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.664096Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation baccb778-17a0-4b6b-8f3e-75f3ae878beb · outbound

This paper cites an unresolved cited work.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unresolved cited work

Reference 51

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:17:31.657727Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation f8dcaaf3-968e-4b74-963a-48af8bf5cdaf · outbound

This paper cites In particular,n is ﬁnite.

Anomaly-free symmetries with obstructions to gauging and onsiteability In particular,n is ﬁnite

Reference 52

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.651252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 21b24faf-1569-4373-9cbe-5eedc3249035 · outbound

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

Anomaly-free symmetries with obstructions to gauging and onsiteability Disentangling anomaly-free symmetries of quantum spin chains

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-06T13:17:31.452357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 29fb087b-7edd-48da-baff-ae4509d90249 · outbound

This paper cites Zhang, Phys.

Anomaly-free symmetries with obstructions to gauging and onsiteability Zhang, Phys

Reference 54

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.786093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 468d72df-44e8-456c-b026-b769bdb715f8 · outbound

This paper cites an unresolved cited work.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unresolved cited work

Reference 55

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:17:31.721303Z

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No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2b9812b3-bb49-4e24-8187-02cfe3a1d109 · outbound

This paper cites Symmetry Protected Topological phases and Generalized Cohomology.

Anomaly-free symmetries with obstructions to gauging and onsiteability Symmetry Protected Topological phases and Generalized Cohomology

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-06T13:17:31.456020Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eeda1908-5d0c-418f-a253-ea141e9fdcf0 · outbound

This paper cites Codimension-2 defects and higher symmetries in (3+1)D topological phases.

Anomaly-free symmetries with obstructions to gauging and onsiteability Codimension-2 defects and higher symmetries in (3+1)D topological phases

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-06T13:17:31.458297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9164f6a1-9171-472f-9879-dfc8db1d3191 · outbound

This paper cites an unresolved cited work.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unresolved cited work

Reference 58

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:17:31.779621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a41fe613-1fb8-40a1-a570-3489409cadb2 · outbound

This paper cites [ 12] also considered slower decay, but in this work we will assume that the off-diagonal matrix elements decays superpolynomially.

Anomaly-free symmetries with obstructions to gauging and onsiteability [ 12] also considered slower decay, but in this work we will assume that the off-diagonal matrix elements decays superpolynomially

Reference 59

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.644502Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 55ae35c4-fee0-44d9-b8cd-5a083e70357d · outbound

This paper cites Kitaev, Annals of Physics 321, 2 (2006).

Anomaly-free symmetries with obstructions to gauging and onsiteability Kitaev, Annals of Physics 321, 2 (2006)

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-06T13:17:31.464566Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 248c3c9c-a1c0-4c65-94fa-ab8e816bbe12 · outbound

This paper cites an unresolved cited work.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unresolved cited work

Reference 61

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:17:31.634532Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ca605d65-6fef-4585-bbb9-a7fa40e9dba1 · outbound

This paper cites Fidkowski, H.

Anomaly-free symmetries with obstructions to gauging and onsiteability Fidkowski, H

Reference 62

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.628340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a2f8e66f-1fcd-4a6a-8534-a554fc8fa5f5 · outbound

This paper cites an unresolved cited work.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unresolved cited work

Reference 63

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:17:31.622266Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation a156c10d-d95e-44f2-9757-7f16acfbd694 · outbound

This paper cites an unresolved cited work.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unresolved cited work

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-06T13:17:31.472856Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce7c8150-8590-43d3-841b-5c964bb7c122 · outbound

This paper cites Zhang and M.

Anomaly-free symmetries with obstructions to gauging and onsiteability Zhang and M

Reference 65

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.611688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 519a2424-c504-4224-890f-536c5908fc58 · outbound

This paper cites an unresolved cited work.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unresolved cited work

Reference 66

Resolution: unresolved; raw_fallback, observed 2026-08-06T13:17:31.827454Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 8e569cf6-4a0b-453f-825d-d753246bd599 · outbound

This paper cites Qi, New Journal of Physics 15, 065002 (2013).

Anomaly-free symmetries with obstructions to gauging and onsiteability Qi, New Journal of Physics 15, 065002 (2013)

Reference 67

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.605248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 77720c1e-a711-43b7-b3cc-f9cbba7ac0fa · outbound

This paper cites Y ao and S.

Anomaly-free symmetries with obstructions to gauging and onsiteability Y ao and S

Reference 68

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.598969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 915bc346-d6be-44d8-b0bf-0ae1b2a5794f · outbound

This paper cites The effect of interactions on 2D fermionic symmetry-protected topological phases with Z2 symmetry.

Anomaly-free symmetries with obstructions to gauging and onsiteability The effect of interactions on 2D fermionic symmetry-protected topological phases with Z2 symmetry

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-06T13:17:31.482305Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5de105b5-4213-4e75-b024-501422c1b566 · outbound

This paper cites Discrete spin structures and commuting projector models for 2d fermionic symmetry protected topological phases.

Anomaly-free symmetries with obstructions to gauging and onsiteability Discrete spin structures and commuting projector models for 2d fermionic symmetry protected topological phases

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-06T13:17:31.484485Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e5e508ab-7b28-495b-b47a-b590c5885e3b · outbound

This paper cites ( 72) and ﬁnd that Θ = 2 , which is not a fourth power of a rational number or √ 2, or their combinations.

Anomaly-free symmetries with obstructions to gauging and onsiteability ( 72) and ﬁnd that Θ = 2 , which is not a fourth power of a rational number or √ 2, or their combinations

Reference 71

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.683878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 16a8f5e4-a074-4a7d-b94f-0c5f58fbbfed · outbound

This paper cites Unpaired Majorana fermions in quantum wires.

Anomaly-free symmetries with obstructions to gauging and onsiteability Unpaired Majorana fermions in quantum wires

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-06T13:17:31.486685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 749b36d2-7365-4437-896e-3cce7b1a9b67 · outbound

This paper cites We now show that the Zn symmetry (.

Anomaly-free symmetries with obstructions to gauging and onsiteability We now show that the Zn symmetry (

Reference 73

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T13:17:31.703110Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Pith citing papers

Observation f9da1cd4-2d67-45ca-b9b9-9fa0abbafffc · inbound

Trading Mathematical for Physical Simplicity: Bialgebraic Structures in Matrix Product Operator Symmetries cites this paper.

Trading Mathematical for Physical Simplicity: Bialgebraic Structures in Matrix Product Operator Symmetries Anomaly-free symmetries with obstructions to gauging and onsiteability

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-05T10:58:32.870611Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c6419bd-42dd-4092-bfc4-9d5ea30a15bb · inbound

Onsiteability of Higher-Form Symmetries cites this paper.

Onsiteability of Higher-Form Symmetries Anomaly-free symmetries with obstructions to gauging and onsiteability

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-18T03:20:48.931335Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 6d8fb1ae-529e-4991-a534-6518a9270fe4 · inbound

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

Exactly Solvable 1+1d Chiral Lattice Gauge Theories Anomaly-free symmetries with obstructions to gauging and onsiteability

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-03T09:26:55.802636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b3515e76-5184-4324-85b4-f1150d38a617 · inbound

Symmetry Spans and Enforced Gaplessness cites this paper.

Symmetry Spans and Enforced Gaplessness Anomaly-free symmetries with obstructions to gauging and onsiteability

Reference 136

Resolution: verified exact; arxiv_id, observed 2026-05-16T03:27:13.256091Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation ad01ae2d-8afc-4ae7-a77c-c67daa4dd14e · inbound

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

Lieb-Schultz-Mattis Anomalies and Anomaly Matching Anomaly-free symmetries with obstructions to gauging and onsiteability

Reference 44

Resolution: metadata mismatch; arxiv_id, observed 2026-05-13T22:43:23.451539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 0ae5b8b0-c30e-4dfa-b521-e08f56bc9102 · inbound

Constructing Bulk Topological Orders via Layered Gauging cites this paper.

Constructing Bulk Topological Orders via Layered Gauging Anomaly-free symmetries with obstructions to gauging and onsiteability

Reference 60

Resolution: verified exact; arxiv_id, observed 2026-05-12T09:36:26.766525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 7c1c0ce7-da2f-4d19-972d-f7b482e9a30b · 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 Anomaly-free symmetries with obstructions to gauging and onsiteability

Reference 60

Resolution: verified exact; arxiv_id, observed 2026-05-12T10:41:31.158882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation bb19cd06-2069-4b43-8164-57041396961a · inbound

Establishing Mixed-State Phase Equivalence beyond Renormalization Fixed Points cites this paper.

Establishing Mixed-State Phase Equivalence beyond Renormalization Fixed Points Anomaly-free symmetries with obstructions to gauging and onsiteability

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-05-09T06:45:44.616229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 2425fc54-4dab-4d68-80c6-3b09011777cf · inbound

Establishing Mixed-State Phase Equivalence beyond Renormalization Fixed Points cites this paper.

Establishing Mixed-State Phase Equivalence beyond Renormalization Fixed Points Anomaly-free symmetries with obstructions to gauging and onsiteability

Reference 47

Resolution: verified exact; arxiv_id, observed 2026-07-01T13:15:45.554055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 462bd595-a348-464e-ae47-a529af119e78 · inbound

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

When Symmetries Twist: Anomaly Inflow on Monodromy Defects Anomaly-free symmetries with obstructions to gauging and onsiteability

Reference 111

Resolution: verified exact; arxiv_id, observed 2026-05-20T16:38:39.686497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation d089202a-9928-4141-8c88-c8e4942a40f9 · inbound

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

When Symmetries Twist: Anomaly Inflow on Monodromy Defects Anomaly-free symmetries with obstructions to gauging and onsiteability

Reference 111

Resolution: verified exact; arxiv_id, observed 2026-07-01T14:55:47.799583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation c19b971a-a4b5-4105-87ac-62fec946242a · inbound

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

Invariants of Sequential Circuits and Generalized Non-Abelian Statistics Anomaly-free symmetries with obstructions to gauging and onsiteability

Reference 61

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:58:08.422211Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.

Observation 66b0eebb-e760-458e-b59c-64d96b57bd80 · inbound

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

Infinite-Order Lattice Chiral Anomalies and CPT Anomaly-free symmetries with obstructions to gauging and onsiteability

Reference 26

Resolution: verified exact; arxiv_id, observed 2026-07-03T11:58:07.151223Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.