Paper Citation Record · LEDGER

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation

As of 14 August 2026, this Paper Citation Record lists 100 of 123 outbound references and 5 inbound Pith citation observations for arXiv:2412.19691.

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

pith.paper-citation-record.v1
2412.19691 v2

Coverage vector

measured 100 of 123 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-11T00:10:52.114438Z

measured 105 of 105 standing notices

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

measured 5 of 5 inbound itemization

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Source: paper_references, paper_reference_links, observed 2026-06-30T23:44:52.009361Z

measured 0 of 1 external citation measurements

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Source: arxiv_reference, observed 2026-06-30T23:45:07.487127Z

Reference resolution

100 of 123 outbound references displayed

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Outbound references

Observation 347d5d49-70c6-4249-a82e-ace7543f5d4d · outbound

This paper cites To do this, it’s intuitive for us to decompose them into Majorana operatorsψ = (χ(1) + iχ(2))/2, ψ† = (χ(1) − iχ(2))/2.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation To do this, it’s intuitive for us to decompose them into Majorana operatorsψ = (χ(1) + iχ(2))/2, ψ† = (χ(1) − iχ(2))/2

Reference 1

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Observation 46bad766-eb37-49a8-aefe-7f8486f20374 · outbound

This paper cites With the intrinsic doublingνstag(2) = 23/dimRχCℓ(3,0) = 2, we automatically start with 2 copies on the lattice model.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation With the intrinsic doublingνstag(2) = 23/dimRχCℓ(3,0) = 2, we automatically start with 2 copies on the lattice model

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.612139Z

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Observation 572ebbfa-b89a-4667-9e6b-345e1d88ef96 · outbound

This paper cites an unresolved cited work.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 3

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Observation 42784252-5849-49fc-8bf6-467cddd47f17 · outbound

This paper cites an unresolved cited work.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 4

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Observation 918e5430-4216-49f5-a868-c810b63c2f86 · outbound

This paper cites Our next task is to check the whole invariant group withL 1,L 2, andL 3 even.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Our next task is to check the whole invariant group withL 1,L 2, andL 3 even

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.628548Z

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Observation 3413c474-df3a-4c3e-96b9-12c7f4c20f89 · outbound

This paper cites an unresolved cited work.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.634071Z

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Observation e988066c-f988-4ada-8b00-331d1792796d · outbound

This paper cites 8×2d/dimRχCℓ(d,0) copies of root states), the anomaly in the 0+1d invariant subgroup cancels.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation 8×2d/dimRχCℓ(d,0) copies of root states), the anomaly in the 0+1d invariant subgroup cancels

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.639733Z

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Observation a5dc786f-fa2b-4b5e-af1b-a6e1775d76a5 · outbound

This paper cites an unresolved cited work.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 8

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Observation bd610f16-f0b5-4e2b-b95b-60281bdd7986 · outbound

This paper cites an unresolved cited work.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 9

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Observation 632764b7-0c4f-41a2-91cc-25f937a12540 · outbound

This paper cites However, for n = 1, 2(i.e.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation However, for n = 1, 2(i.e

Reference 10

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Observation 6d2d4439-3c87-4809-a0e3-fca6f8774aa9 · outbound

This paper cites The two Dirac fermions are set to be ψL and ψR, describing the left- and right-moving Dirac modes at low energy.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation The two Dirac fermions are set to be ψL and ψR, describing the left- and right-moving Dirac modes at low energy

Reference 11

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Observation 82afb261-0682-452a-a9a6-86f7af6f157a · outbound

This paper cites For convenience, we set the condition Kχ(i) ν,lK = (−)i+1χν,l, where ν = 1, 2, ...labels different copies (hereν= 1) andl= 0,1, ...labels the sites.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation For convenience, we set the condition Kχ(i) ν,lK = (−)i+1χν,l, where ν = 1, 2, ...labels different copies (hereν= 1) andl= 0,1, ...labels the sites

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.671479Z

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Observation c3313bc1-019b-4ab2-bf8f-ef8f501f8756 · outbound

This paper cites an unresolved cited work.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.676899Z

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Observation 256708d4-4faf-43eb-b981-d1e8559cedac · outbound

This paper cites an unresolved cited work.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.682323Z

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Observation f04c0dcc-f2b5-40f9-93b7-66788aaf4cae · outbound

This paper cites an unresolved cited work.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.686970Z

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Observation b142f0a7-580b-4be5-a7a7-ed93954e82bf · outbound

This paper cites Indeed, we can set on-site charge-4e superconducting interaction or other interactions given in Appendix.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Indeed, we can set on-site charge-4e superconducting interaction or other interactions given in Appendix

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.691878Z

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Observation 1bec331a-dc29-47a6-b775-f9dc5976f7ff · outbound

This paper cites an unresolved cited work.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.696761Z

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Observation a750881d-62a7-448d-b30a-780cf0b6b257 · outbound

This paper cites an unresolved cited work.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.701531Z

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Observation 787943af-c8f0-43d0-be1b-c2a2c1261682 · outbound

This paper cites Our next task is to check if the whole invariant group with all Li even faithfully reproduce the original lattice invariant group.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Our next task is to check if the whole invariant group with all Li even faithfully reproduce the original lattice invariant group

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.706932Z

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Observation 4f153305-9698-4904-83e8-cd093e276a9a · outbound

This paper cites Schwinger, The theory of quantized fields.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Schwinger, The theory of quantized fields

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.711551Z

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Observation 2dfba838-b820-4fc6-95da-d932163565dc · outbound

This paper cites Luders, On the equivalence of invariance under time reversal and under particle-antiparticle conjugation for relativistic field theories, Kong.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Luders, On the equivalence of invariance under time reversal and under particle-antiparticle conjugation for relativistic field theories, Kong

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.716613Z

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Observation 365e499a-3bc0-4b88-b8e2-4020b56631ce · outbound

This paper cites Pauli, L.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Pauli, L

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.721273Z

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Observation bafb56e9-fd2d-44bd-a1a1-16432463271c · outbound

This paper cites Pauli, On the conservation of the Lepton charge, Nuovo Cim.6, 204 (1957).

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Pauli, On the conservation of the Lepton charge, Nuovo Cim.6, 204 (1957)

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.725827Z

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Observation f7d4aec3-00e8-42e0-b96c-d9a3052b7529 · outbound

This paper cites Lüders, Proof of the TCP theorem, Annals of Physics 2, 1 (1957).

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Lüders, Proof of the TCP theorem, Annals of Physics 2, 1 (1957)

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.730609Z

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Observation aca77fdd-91a7-45f9-809b-4624663f4fe0 · outbound

This paper cites an unresolved cited work.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.735635Z

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Observation 27cbd8ce-05e0-40da-afb6-8390fd146ec3 · outbound

This paper cites C-P-T Fractionalization.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation C-P-T Fractionalization

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:10:53.234995Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 9e2b69b4-ab9e-4ba3-ad4e-1ef6c7c0fb6c · outbound

This paper cites C-R-T Fractionalization, Fermions, and Mod 8 Periodicity.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation C-R-T Fractionalization, Fermions, and Mod 8 Periodicity

Reference 27

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Observation 6dba2efa-312d-446c-8467-0d48f5e06239 · outbound

This paper cites C-R-T Fractionalization in the First Quantized Hamiltonian Theory.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation C-R-T Fractionalization in the First Quantized Hamiltonian Theory

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.750756Z

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Observation 9b4cb589-6cb7-4931-8cf2-bc0be14cbd62 · outbound

This paper cites Lehmann, P.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Lehmann, P

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.755704Z

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Observation 2e8b3543-e62a-434a-b403-09ea29e24646 · outbound

This paper cites an unresolved cited work.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 30

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Observation 08c77dbe-26ec-4c06-9892-8bddf8ebaa58 · outbound

This paper cites Bell and R.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Bell and R

Reference 31

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Observation 3261d6d6-8b87-44ab-88bf-d490c4a99941 · outbound

This paper cites ’t Hooft, Symmetry breaking through Bell-Jackiw anomalies, Phys.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation ’t Hooft, Symmetry breaking through Bell-Jackiw anomalies, Phys

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.769646Z

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Observation 25d1cac7-bf7f-4a61-84d0-76c9cad1d696 · outbound

This paper cites an unresolved cited work.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 33

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Observation 17cf0ce1-a21e-4dd2-ae28-1731bfb63065 · outbound

This paper cites Kapustin, R.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Kapustin, R

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.779123Z

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Observation 2677afd5-35cb-49eb-aac5-dfd366978b85 · outbound

This paper cites Bhardwaj, D.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Bhardwaj, D

Reference 35

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Observation 6353a23c-6f15-48bd-9357-4f6ef1c899a3 · outbound

This paper cites Kapustin and R.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Kapustin and R

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.788354Z

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Observation 36f6103f-b27b-4754-8564-0e7600339694 · outbound

This paper cites Thorngren, Anomalies and bosonization, Communi- cations in Mathematical Physics378, 1775 (2020).

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Thorngren, Anomalies and bosonization, Communi- cations in Mathematical Physics378, 1775 (2020)

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.793056Z

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Observation 5e2ff2ab-2a97-4118-af3c-d62358c0abb8 · outbound

This paper cites Karch, D.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Karch, D

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.797590Z

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Observation a8a0b435-dee3-4d24-8e08-4da9be8c717a · outbound

This paper cites Ji, S.-H.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Ji, S.-H

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.803088Z

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Observation d96463c9-dfb0-4af0-97bf-de53fab62a82 · outbound

This paper cites Lin and S.-H.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Lin and S.-H

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.807738Z

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Observation f707eb52-2ee8-4a2b-b905-0515458867ac · outbound

This paper cites Hsieh, Y.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Hsieh, Y

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.812949Z

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Observation c3ef388e-5e9a-4d35-9e52-02162f58020d · outbound

This paper cites Delmastro, D.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Delmastro, D

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.817588Z

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Observation 2ac384d4-95ba-4d37-a8a7-89b830128413 · outbound

This paper cites Grigoletto and P.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Grigoletto and P

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.821987Z

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Observation 23d2d35d-8984-4b36-8baa-b49394e4f899 · outbound

This paper cites Chang, J.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Chang, J

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.826306Z

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Observation d94c5fa9-51af-44b9-8a24-25345db2cdb2 · outbound

This paper cites Lieb-Schultz-Mattis, Luttinger, and 't Hooft -- anomaly matching in lattice systems.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Lieb-Schultz-Mattis, Luttinger, and 't Hooft -- anomaly matching in lattice systems

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.831070Z

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Observation 91f130f2-4996-4a2e-9541-9535a59ef329 · outbound

This paper cites Seiberg and S.-H.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Seiberg and S.-H

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.836611Z

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Observation b07dc6f7-727b-439e-a026-9b339052ded7 · outbound

This paper cites Quantized axial charge of staggered fermions and the chiral anomaly.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Quantized axial charge of staggered fermions and the chiral anomaly

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.841211Z

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Observation bb280755-b50a-4809-a1e5-7d72fb922de6 · outbound

This paper cites The effects of interactions on the topological classification of free fermion systems.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation The effects of interactions on the topological classification of free fermion systems

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.846038Z

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Observation 22cfa461-1ac7-41d3-bbc9-896bb3923cac · outbound

This paper cites Topological phases of fermions in one dimension.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Topological phases of fermions in one dimension

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.851082Z

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Observation 146ee7ca-9f1f-4c79-8ff9-21b4f6c44d67 · outbound

This paper cites Non-Perturbative Regularization of 1+1D Anomaly-Free Chiral Fermions and Bosons: On the equivalence of anomaly matching conditions and boundary gapping rules.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Non-Perturbative Regularization of 1+1D Anomaly-Free Chiral Fermions and Bosons: On the equivalence of anomaly matching conditions and boundary gapping rules

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.855717Z

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Observation 74e9107e-33e8-4b13-8eee-e432e1b4e5ad · outbound

This paper cites Exotic Quantum Phase Transitions of $(2+1)d$ Dirac fermions.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Exotic Quantum Phase Transitions of $(2+1)d$ Dirac fermions

Reference 51

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:10:53.095684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 625e8edf-4b8e-4aab-b0fc-15f5d4527747 · outbound

This paper cites Ayyar and S.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Ayyar and S

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.865343Z

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Observation bdce7dd8-29b0-4572-9a47-2ffcc5fa559d · outbound

This paper cites Catterall, Fermion mass without symmetry breaking, Journal of High Energy Physics2016, 121 (2016).

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Catterall, Fermion mass without symmetry breaking, Journal of High Energy Physics2016, 121 (2016)

Reference 53

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This paper cites Comments on Symmetric Mass Generation in 2d and 4d.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Comments on Symmetric Mass Generation in 2d and 4d

Reference 54

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Observation 1450297d-f41c-4588-9e42-28e353e8822d · outbound

This paper cites Symmetric Mass Generation.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Symmetric Mass Generation

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.881876Z

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Observation 7db0f58c-2c1d-4ae2-97cb-b2b432a490d7 · outbound

This paper cites You, Y.-C.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation You, Y.-C

Reference 56

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Observation 79571dd7-2622-4c6f-a6b6-5b97a59e77d9 · outbound

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Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 57

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Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 58

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Observation 21bd86aa-8fb6-40ad-978c-2f24abb9ec64 · outbound

This paper cites Green's function Zero and Symmetric Mass Generation.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Green's function Zero and Symmetric Mass Generation

Reference 59

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Observation b05a899b-6c3f-437a-a530-e6ddf0c56cd4 · outbound

This paper cites You, Y.-C.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation You, Y.-C

Reference 60

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Observation 65ab44c2-f40e-4740-be23-260452f350bd · outbound

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Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 61

Resolution: unresolved; raw_fallback, observed 2026-08-11T00:10:53.661198Z

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Observation 7113d955-1847-410b-84c4-fdf0f0c191f8 · outbound

This paper cites Symmetry-protected topological orders for interacting fermions -- Fermionic topological nonlinear $\sigma$ models and a special group supercohomology theory.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Symmetry-protected topological orders for interacting fermions -- Fermionic topological nonlinear $\sigma$ models and a special group supercohomology theory

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.917150Z

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Observation d0003726-2b1a-4649-b99a-610dac703caf · outbound

This paper cites Classification of Symmetry-Protected Phases for Interacting Fermions in Two Dimensions.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Classification of Symmetry-Protected Phases for Interacting Fermions in Two Dimensions

Reference 63

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Observation 7277cdc9-b065-41a8-9eb0-13a7e6266ebd · outbound

This paper cites Breakdown of the topological classification Z for gapped phases of noninteracting fermions by quartic interactions.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Breakdown of the topological classification Z for gapped phases of noninteracting fermions by quartic interactions

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.927041Z

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Observation 4a9eccaa-8f98-4191-a6cc-02b6cc151a53 · outbound

This paper cites Fermionic Symmetry Protected Topological Phases and Cobordisms.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Fermionic Symmetry Protected Topological Phases and Cobordisms

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.932083Z

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Observation 6023f929-cb53-4e32-9f24-3c51ab7759fa · outbound

This paper cites Reflection positivity and invertible topological phases.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Reflection positivity and invertible topological phases

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.937168Z

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Observation e55d5834-38a7-4933-a474-fb63c03d814e · outbound

This paper cites Gaiotto and A.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Gaiotto and A

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.942158Z

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Observation 7dd82b7a-bde5-4b27-8940-b74140a117b7 · outbound

This paper cites Wen, Colloquium: Zoo of quantum-topological phases of matter, Rev.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Wen, Colloquium: Zoo of quantum-topological phases of matter, Rev

Reference 68

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Observation 065dd5b6-c830-4281-bd3e-b48d592244d1 · outbound

This paper cites Towards a complete classification of fermionic symmetry protected topological phases in 3D and a general group supercohomology theory.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Towards a complete classification of fermionic symmetry protected topological phases in 3D and a general group supercohomology theory

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.951642Z

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Observation 490ec4d3-12ba-4949-bca6-b1b7b5ab18bc · outbound

This paper cites Fermionic SPT phases in higher dimensions and bosonization.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Fermionic SPT phases in higher dimensions and bosonization

Reference 70

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Observation fc25b672-3dd2-480b-8b91-088030c12ef7 · outbound

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Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 71

Resolution: unresolved; raw_fallback, observed 2026-08-11T00:10:53.632353Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation bbd893e1-475f-4d3d-93b0-dbeced5142da · outbound

This paper cites Construction and classification of symmetry protected topological phases in interacting fermion systems.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Construction and classification of symmetry protected topological phases in interacting fermion systems

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.966886Z

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Observation ef08454e-81cd-4bf5-8532-4af8a41b564a · outbound

This paper cites Symmetry Protected Topological phases and Generalized Cohomology.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Symmetry Protected Topological phases and Generalized Cohomology

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.972654Z

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Observation ccc6d3b7-0ec3-4a14-92c0-e2e9d6b2ce2b · outbound

This paper cites Notes on 8 Majorana Fermions.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Notes on 8 Majorana Fermions

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.977655Z

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Observation c61b15cd-66c2-4872-94bf-ec38c9588960 · outbound

This paper cites Fermion decoration construction of symmetry protected trivial orders for fermion systems with any symmetries $G_f$ and in any dimensions.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Fermion decoration construction of symmetry protected trivial orders for fermion systems with any symmetries $G_f$ and in any dimensions

Reference 75

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Observation aee593b9-507a-4bc7-8014-20bc32976bcd · outbound

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Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 76

Resolution: unresolved; raw_fallback, observed 2026-08-11T00:10:53.614504Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 8aad7986-5ecb-455f-8ad6-e258b4c9e8e3 · outbound

This paper cites Computing classification of interacting fermionic symmetry-protected topological phases using topological invariants.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Computing classification of interacting fermionic symmetry-protected topological phases using topological invariants

Reference 77

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:10:52.849836Z

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Observation 8d2357c9-b25f-4e69-a475-35920e23c9e1 · outbound

This paper cites Characterization and Classification of Fermionic Symmetry Enriched Topological Phases.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Characterization and Classification of Fermionic Symmetry Enriched Topological Phases

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:51.997744Z

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Observation 098667d8-2f63-4010-b746-090266b696e3 · outbound

This paper cites Barkeshli, Y.-A.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Barkeshli, Y.-A

Reference 79

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:10:53.598151Z

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Observation 141f426b-dc6d-42c4-b685-830a12ce4cd0 · outbound

This paper cites Emergent strongly coupled ultraviolet fixed point in four dimensions with 8 K\"ahler-Dirac fermions.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Emergent strongly coupled ultraviolet fixed point in four dimensions with 8 K\"ahler-Dirac fermions

Reference 80

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:10:52.810011Z

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Observation 73e73eab-0134-4aca-b402-2df59e73e11e · outbound

This paper cites Non-perturbative constraints from symmetry and chirality on Majorana zero modes and defect quantum numbers in (2+1)D.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Non-perturbative constraints from symmetry and chirality on Majorana zero modes and defect quantum numbers in (2+1)D

Reference 81

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Observation 967416fc-9bf2-45ee-8032-7ef1ec585d84 · outbound

This paper cites Quantized charge polarization as a many-body invariant in (2+1)D crystalline topological states and Hofstadter butterflies.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Quantized charge polarization as a many-body invariant in (2+1)D crystalline topological states and Hofstadter butterflies

Reference 82

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:10:52.770568Z

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Observation b7375472-894a-44e1-96d7-358afaec42a3 · outbound

This paper cites Zhang, N.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Zhang, N

Reference 83

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:10:53.582232Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 75e0af77-97b4-447b-bb1d-efb2a9dbede6 · outbound

This paper cites an unresolved cited work.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 84

Resolution: unresolved; raw_fallback, observed 2026-08-11T00:10:53.566395Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 977e168d-8ada-47c3-850f-8d7bac85f00c · outbound

This paper cites Interacting Topological Superconductors and possible Origin of $16n$ Chiral Fermions in the Standard Model.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Interacting Topological Superconductors and possible Origin of $16n$ Chiral Fermions in the Standard Model

Reference 85

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:52.035256Z

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Observation e491a0bb-e5ae-420e-9556-00247ff75587 · outbound

This paper cites Interacting Topological Insulator and Emergent Grand Unified Theory.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Interacting Topological Insulator and Emergent Grand Unified Theory

Reference 86

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:52.040436Z

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Observation fda2e803-e4f0-4207-820d-f0fdd0b916da · outbound

This paper cites BenTov, Fermion masses without symmetry breaking in two spacetime dimensions, Journal of High Energy Physics2015, 34 (2015).

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation BenTov, Fermion masses without symmetry breaking in two spacetime dimensions, Journal of High Energy Physics2015, 34 (2015)

Reference 87

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:10:53.549398Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation f25c26b3-7ba8-454b-9ee5-7496bdde6a4c · outbound

This paper cites A Novel Non-Perturbative Lattice Regularization of an Anomaly-Free $1 + 1d$ Chiral $SU(2)$ Gauge Theory.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation A Novel Non-Perturbative Lattice Regularization of an Anomaly-Free $1 + 1d$ Chiral $SU(2)$ Gauge Theory

Reference 88

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:10:52.712942Z

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Observation fbeda2ee-c0dc-4115-9c0b-9c2851f2dabf · outbound

This paper cites A Non-Perturbative Definition of the Standard Models.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation A Non-Perturbative Definition of the Standard Models

Reference 89

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:52.055943Z

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Observation 5f300b9c-9a99-4df1-a950-99d5beb430c5 · outbound

This paper cites Wang and X.-G.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Wang and X.-G

Reference 90

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:52.061137Z

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Observation 31697d63-3fba-4927-a08d-7a1c8d4c0cc6 · outbound

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Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 91

Resolution: unresolved; raw_fallback, observed 2026-08-11T00:10:53.521997Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 38faeb02-b452-4552-8db3-508bf91e38f2 · outbound

This paper cites Gapped Chiral Fermions.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Gapped Chiral Fermions

Reference 92

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:52.072501Z

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Observation d5931e56-21a2-464d-a231-4922344451c8 · outbound

This paper cites an unresolved cited work.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Unresolved cited work

Reference 93

Resolution: unresolved; raw_fallback, observed 2026-08-11T00:10:53.505473Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation c173724b-a331-428e-bbf9-4a0e9e101688 · outbound

This paper cites Induced topological gravity and anomaly inflow from Kaehler-Dirac fermions in odd dimensions.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Induced topological gravity and anomaly inflow from Kaehler-Dirac fermions in odd dimensions

Reference 94

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:10:52.653378Z

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Observation 67894b7b-d336-4f16-91df-6cdf7833a611 · outbound

This paper cites 't Hooft anomalies for staggered fermions.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation 't Hooft anomalies for staggered fermions

Reference 95

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:52.087834Z

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Observation 8b09d1f2-2823-4986-80c2-74d29da48e87 · outbound

This paper cites Catterall, Chiral lattice fermions from staggered fields, Phys.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Catterall, Chiral lattice fermions from staggered fields, Phys

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Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:52.093244Z

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Observation 8dbab895-f615-4ed1-abca-1f953662a988 · outbound

This paper cites Symmetric Mass Generation of K\"ahler-Dirac Fermions from the Perspective of Symmetry-Protected Topological Phases.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Symmetric Mass Generation of K\"ahler-Dirac Fermions from the Perspective of Symmetry-Protected Topological Phases

Reference 97

Resolution: verified exact; local_arxiv, observed 2026-08-11T00:10:52.613338Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 78b5722e-da46-42a3-ae5b-b61a56df1591 · outbound

This paper cites Kogut and L.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Kogut and L

Reference 98

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:52.104149Z

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Unavailable: canonical work link unavailable.

Observation ef329a92-dbc2-45c4-a88d-e8bbca00f20f · outbound

This paper cites Becher and H.

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Becher and H

Reference 99

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T00:10:53.466818Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 6838a2b6-e533-4e1b-84c8-d48acbf467de · outbound

This paper cites Smit,Introduction to Quantum Fields on a Lattice, Cambridge Lecture Notes in Physics (Cambridge Uni- versity Press, 2002).

Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation Smit,Introduction to Quantum Fields on a Lattice, Cambridge Lecture Notes in Physics (Cambridge Uni- versity Press, 2002)

Reference 100

Resolution: unresolved; no resolver link, observed 2026-08-11T00:10:52.114438Z

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Pith citing papers

Observation d9981a09-e7ee-40e4-b93c-180c76675649 · inbound

Taste-splitting mass and edge modes in $3+1$ D staggered fermions cites this paper.

Taste-splitting mass and edge modes in $3+1$ D staggered fermions Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation

Reference 6

Resolution: verified exact; arxiv_id, observed 2026-05-13T21:03:19.495172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 71cd7f65-1029-451f-abb6-b353e19178a2 · inbound

Lattice chiral symmetry from bosons in 3+1d cites this paper.

Lattice chiral symmetry from bosons in 3+1d Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation

Reference 57

Resolution: verified exact; arxiv_id, observed 2026-05-11T00:05:52.243730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ebb231e0-d772-44e3-b2ab-79440434d265 · inbound

Lattice fermion formulation via Physics-Informed Neural Networks: Ginsparg-Wilson relation and Overlap fermions cites this paper.

Lattice fermion formulation via Physics-Informed Neural Networks: Ginsparg-Wilson relation and Overlap fermions Quantum Many-Body Lattice C-R-T Symmetry: Fractionalization, Anomaly, and Symmetric Mass Generation

Reference 62

Resolution: verified exact; arxiv_id, observed 2026-05-11T22:01:11.436505Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation dc72eb31-94a5-435e-9543-5ba092b2394c · inbound

Lattice fermion formulation via Physics-Informed Neural Networks: Ginsparg-Wilson relation and Overlap fermions cites this paper.

Reference 64

Resolution: verified exact; arxiv_id, observed 2026-05-14T22:08:03.833129Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 04328f4e-fd86-47f1-b780-a74197bd14bb · inbound

Lattice fermion formulation via Physics-Informed Neural Networks: Ginsparg-Wilson relation and Overlap fermions cites this paper.

Reference 64

Resolution: verified exact; arxiv_id, observed 2026-06-30T23:45:07.489139Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.