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Paper Citation Record · LEDGER

Anomaly-free symmetries with obstructions to gauging and onsiteability

As of 22 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 15 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

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

measured 80 of 80 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 15 of 15 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T00:19:53.096181Z

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

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  • verified fuzzy31
  • unresolved33
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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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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

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source=pdf_text observed=2026-08-06T13:17:31.373858Z digest=sha256:38cb12e3d9e66c69a6edd890363fb774f4bd95e2a474aa7267383f480b4dfa04

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

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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

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source=pdf_text observed=2026-08-06T13:17:31.381470Z digest=sha256:a3b8d144d22770974d5f735245cc464759961b729ca2a3927c869faa27f75284

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

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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

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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

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source=pdf_text observed=2026-08-06T13:17:31.387519Z digest=sha256:5219a366f390f241483f8a151f3fa342da38e60b816e5c813ee9fffe2288963b

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

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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

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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

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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

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

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

Reference 30

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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

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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

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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

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

This paper cites equivalent.

Anomaly-free symmetries with obstructions to gauging and onsiteability equivalent

Reference 34

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

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

Reference 35

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

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

Reference 36

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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

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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

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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

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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

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

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.425140Z digest=sha256:fceb85dd9f81da19f83250fee912cee79220f067e36e75b2229cf6d6bc2fd4fe

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.429582Z digest=sha256:2042d77c759b34737e63a8a446458ce7fa385ef9835ecd757bc186016a30d4e9

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.431844Z digest=sha256:6683a18638ff123dec6ea33f5ee4c1684bd19022fa03cb01cc0e43a8223f5f5b

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.435682Z digest=sha256:9e0b23456575a1ad2034d566ce5c9388f166534a5fa1f82146333a995f4a95f7

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.437623Z digest=sha256:420f7e3417cb0512cf0946afb1dac3c15a42552d7399e56cbbef52fc015332ff

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.441620Z digest=sha256:7a4fc2ddfe1ae11e3ce74c66867b5eb974cf85f3c04c058f851197d02166953a

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.444225Z digest=sha256:fc44855afcdebf6f3ff386ba1c9eea9a0d5e64048463c7d5f8205bf088fa50fa

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.446540Z digest=sha256:6f9c88764843737cb6c2cfc7d2c7610f8b1d574226e1a7dc5efb9607934f99e5

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.448663Z digest=sha256:bab9bbe2b11e5119c7c5594d107146651f1ae2c5dbb3d1579be982cfe632801e

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.450564Z digest=sha256:29bb75c80ff11c4f34918bc6da9e80794fb7734df3541d38cbc3fb6892e140dc

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.

source=pdf_text observed=2026-08-06T13:17:31.452357Z digest=sha256:e462ad140e10d15b9a09cb7635a407b02203d117f1d32e002eff4247486e69a9

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.454189Z digest=sha256:8cc281fbe5a6cfb30865cbae0ae641bf92c3d4d9501ff4022a728f6bceaf1644

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.427583Z digest=sha256:556b830ffaff39d568e8cfa0c4d4220a7438eb8c567bd79e5eb340095ad2005d

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.

source=pdf_text observed=2026-08-06T13:17:31.456020Z digest=sha256:7ff27c03d91e77031ead1476fd5339e1328cacb3c840378378e6a26843c3352a

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.

source=pdf_text observed=2026-08-06T13:17:31.458297Z digest=sha256:ffeb786beedceeb0a487538d8cbd0fb5ac2266ccde69f515a5d57bebc3277d9c

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.460034Z digest=sha256:71f69c6f2ebc8023e54f650309d9efa9d205385bf61a8f17e671e1066145427f

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.462577Z digest=sha256:e2e6901ef902e285f7bc53be06500d13ed474443d6569fb4cce52ba091109e23

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.

source=pdf_text observed=2026-08-06T13:17:31.464566Z digest=sha256:a2512b537a4b44c0afe577efce60b56e3103765edf0c35cab010e50b72afd63e

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.466502Z digest=sha256:7e4f32f6a97024a5aba4b1f7c47debe21ff83ac962199afd55b034f524856772

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.469026Z digest=sha256:19698ef267f4d4078c80480634d340df8ba6cbdcb82e01a960dc6c4d8175160f

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.470948Z digest=sha256:a2c6470a9eb1717d9a669d4fb5506f2ed286886afe357a83ce02db3df45d5162

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.

source=pdf_text observed=2026-08-06T13:17:31.472856Z digest=sha256:eaaa8b7b25df28bc653f40dcb6edb05ed3c5a2e02b1694014d3dbc4fbd47ca29

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.474750Z digest=sha256:6a9d0afb1f0cafee3ca676de54681e9c0ea746bb4161904d8181c5f92c664e54

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.476745Z digest=sha256:d4b31d7a2adc269a2fca057c371402b12d1abc6e7c851e6c856dc860e402c852

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.478493Z digest=sha256:cb84fb0993e1d341c77d059fb26e8ef4408fc3bd294949f5271861b652307939

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.480465Z digest=sha256:bf38d53de110ff19daedd6beb07f605c0b700d660120ff612740fcbb7bd24c92

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.

source=pdf_text observed=2026-08-06T13:17:31.482305Z digest=sha256:f8909cf5151a56e1a7dcd80a6f92e1f6b0b55e9f606cd4e036b0dd3fdc5c226f

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.

source=pdf_text observed=2026-08-06T13:17:31.484485Z digest=sha256:51230de0761540285caf82faf0e248650e0bfe5919f1f3c9c8c3841db74d9902

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.439670Z digest=sha256:1d77fd92410ed6894941a1f4e4914bdf08f266d307875312a10e8e427d8b06e8

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.

source=pdf_text observed=2026-08-06T13:17:31.486685Z digest=sha256:7f2238f9db5b6d10b16feb9c96959da8b51fa7413f39cc26b34a853a9d362fb7

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T13:17:31.433891Z digest=sha256:28f139f8dd1bdec8b224720a3f1b5fcfb00a11eeb5bee0276168db09eee01c10

Pith citing papers

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

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

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

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-15T23:28:21.878357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T23:28:21.878357Z digest=sha256:508244c7efeb0e9c7080734271b55c2cea2f4f70d43b4c564a5c308e5f00f472

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.

source=pdf_text observed=2026-08-05T10:58:32.870611Z digest=sha256:0d277387367a0ca35a2cef31f8c3c5f9e5e5fe7075ffd8a8b2ea7d783bee61ca

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-18T03:18:47.456335Z digest=sha256:d627ef8c4f47e0291f16da8a0f137685ab6d3eaec7d9e39abf12b7b0b07e645a

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.

source=pdf_text observed=2026-08-03T09:26:55.802636Z digest=sha256:b5542173c7602df165ab51d633bfb410485151be1fd7d92eb6cb9787f21b5b0a

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-16T03:25:08.257953Z digest=sha256:c6c600f0325893a6c8ae351b07d635c373c6c6d61e20842ed7ec228c08f6d8f4

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-13T22:38:46.850119Z digest=sha256:bd26a63c98bf7721b800bc89f0dd0309ea03179b15878c6a475ffb3aa80281f1

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-07T10:16:03.883006Z digest=sha256:752934078ebb6cdbd4679dc4567fd35c18112b36787c2f3109807cf83a55b290

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-07T04:07:13.027020Z digest=sha256:7bbe249f21344286b5df0da64c37981134838af13758e1e4aa91377faa6d7440

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-08T18:06:58.176527Z digest=sha256:690278e0857c37b5e6c11f0ecb8d945af81e8ccf6bea44743a9be3ee61f1ea9c

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-30T23:51:01.473850Z digest=sha256:7e56cdd9a6691848aa819bb9885c36c4ef091279a228a4da9a3bac2409d9f793

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-05-20T16:34:21.544962Z digest=sha256:4ab1ba04780e748740ffe94764130a01c4ff1d711462ced67d1c112b11d6ad6d

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-30T19:16:14.613475Z digest=sha256:586abc291b36e96601a8976d36a109c5f978b98527835985848936f89692060d

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-27T08:37:53.035253Z digest=sha256:558c7e17221c4405bd2af25cc8625d7bbdbeaf4be4d3ce794dbfa83bd6e09919

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 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-06-27T09:09:32.548222Z digest=sha256:2b4b7a9a4d5812756d9a196682a2242761af21e77ac4009da41ffe44ac45491d

Observation be59af73-fb6d-42a4-9819-831daf71680c · inbound

Fermionic Anomalies of Finite Symmetries on Lattices cites this paper.

Fermionic Anomalies of Finite Symmetries on Lattices Anomaly-free symmetries with obstructions to gauging and onsiteability

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-16T00:19:53.096181Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-16T00:19:53.096181Z digest=sha256:50b533a40f11024207953008ce4244586fb351e308686a73fa94ef600d3c7e20