Paper Citation Record · LEDGER

Twisted Partition Functions as Order Parameters

As of 9 August 2026, this Paper Citation Record lists 73 of 73 outbound references and 8 inbound Pith citation observations for arXiv:2505.16546.

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

pith.paper-citation-record.v1
2505.16546 v2

Coverage vector

measured 73 of 73 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:09:37.983458Z

measured 81 of 81 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

measured 8 of 8 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:22:36.252737Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-03T21:48:59.407797Z

Reference resolution

73 of 73 outbound references displayed

verified exact3
verified fuzzy13
unresolved57
parse uncertain0
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External citation measurements

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Outbound references

Observation bf9a0e51-b83a-457c-bc4f-81e3a17e6096 · outbound

This paper cites Generalized Global Symmetries.

Twisted Partition Functions as Order Parameters Generalized Global Symmetries

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:30.444891Z

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Observation bf5c6c31-fa74-4400-8888-3554685d50ca · outbound

This paper cites On the theory of phase transitions,.

Twisted Partition Functions as Order Parameters On the theory of phase transitions,

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:09:41.965219Z

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Observation f8d9f5aa-e620-4c24-92f6-c7b7a3ee06d0 · outbound

This paper cites Topological Order in Rigid States,.

Twisted Partition Functions as Order Parameters Topological Order in Rigid States,

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:09:41.698148Z

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Observation 0992da14-05ee-4f8f-ad44-422db53fd69d · outbound

This paper cites Periodic table for topological insulators and superconductors.

Twisted Partition Functions as Order Parameters Periodic table for topological insulators and superconductors

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:30.864303Z

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Observation 4cc6c10d-2526-44e3-bf0a-f9ba1d331f89 · outbound

This paper cites Symmetry protected topological phases in non-interacting fermion systems.

Twisted Partition Functions as Order Parameters Symmetry protected topological phases in non-interacting fermion systems

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:09:39.809909Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 50f3856a-7dea-400a-9641-44735636bd40 · outbound

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

Twisted Partition Functions as Order Parameters Classifying gauge anomalies through SPT orders and classifying gravitational anomalies through topological orders

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:31.116895Z

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Observation 9e2d7960-5b34-4a07-bf2c-306248164a51 · outbound

This paper cites Symmetry Protected Topological Phases, Anomalies, and Cobordisms: Beyond Group Cohomology.

Twisted Partition Functions as Order Parameters Symmetry Protected Topological Phases, Anomalies, and Cobordisms: Beyond Group Cohomology

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:31.277133Z

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Observation 817c419f-bd2f-4955-a769-d5f97f768123 · outbound

This paper cites Anomalous Symmetry Fractionalization and Surface Topological Order.

Twisted Partition Functions as Order Parameters Anomalous Symmetry Fractionalization and Surface Topological Order

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:31.445802Z

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Observation 17894cb5-fde9-40fc-a9c8-d1098875378a · outbound

This paper cites Symmetry Fractionalization, Defects, and Gauging of Topological Phases.

Twisted Partition Functions as Order Parameters Symmetry Fractionalization, Defects, and Gauging of Topological Phases

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:31.578645Z

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Observation 9274a7af-76d5-4b03-b7fe-ffceda93bdfb · outbound

This paper cites Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions.

Twisted Partition Functions as Order Parameters Categorical symmetry and non-invertible anomaly in symmetry-breaking and topological phase transitions

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:31.731858Z

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Observation 4913cde3-591a-49ce-a8ff-4bd8c871708f · outbound

This paper cites Symmetry TFTs from String Theory.

Twisted Partition Functions as Order Parameters Symmetry TFTs from String Theory

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:31.845749Z

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Observation 572f55ac-ea6b-41e0-8871-618638654004 · outbound

This paper cites Topological symmetry in quantum field theory.

Twisted Partition Functions as Order Parameters Topological symmetry in quantum field theory

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:32.010121Z

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Observation f69006cf-e9c6-4d45-93d9-d7f1e44eabd7 · outbound

This paper cites Symmetry as a shadow of topological order and a derivation of topological holographic principle.

Twisted Partition Functions as Order Parameters Symmetry as a shadow of topological order and a derivation of topological holographic principle

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:32.142680Z

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Observation 017bb5cd-a670-4cfa-8977-03150a005936 · outbound

This paper cites Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics.

Twisted Partition Functions as Order Parameters Topological Holography: Towards a Unification of Landau and Beyond-Landau Physics

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:32.267493Z

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Observation 2ca52256-f83f-44c2-8b56-643ce4e3078b · outbound

This paper cites Symmetry TFTs for Non-Invertible Defects.

Twisted Partition Functions as Order Parameters Symmetry TFTs for Non-Invertible Defects

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:32.411796Z

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Observation 1f0d51e9-44ea-448e-9f38-2b1c1b7cf640 · outbound

This paper cites Symmetry TFTs for 3d QFTs from M-theory.

Twisted Partition Functions as Order Parameters Symmetry TFTs for 3d QFTs from M-theory

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:32.583801Z

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Observation f793297c-f6d9-4a26-ab87-aca03c75d25a · outbound

This paper cites Study of gapped phases of 4d gauge theories using temporal gauging of the $\mathbb{Z}_N$ 1-form symmetry.

Twisted Partition Functions as Order Parameters Study of gapped phases of 4d gauge theories using temporal gauging of the $\mathbb{Z}_N$ 1-form symmetry

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:32.698969Z

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Observation 465934cd-4172-4e37-ae8c-a8a8cf83cd2f · outbound

This paper cites Non-invertible symmetries along 4d RG flows.

Twisted Partition Functions as Order Parameters Non-invertible symmetries along 4d RG flows

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:32.863291Z

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Observation ec87b4a0-5de9-4d3a-b12f-9077a1836c4f · outbound

This paper cites On the Phase Transition Towards Permanent Quark Confinement,.

Twisted Partition Functions as Order Parameters On the Phase Transition Towards Permanent Quark Confinement,

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:09:41.433407Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 6c2361c6-c9db-43cb-815b-93e05017973c · outbound

This paper cites A Property of Electric and Magnetic Flux in Nonabelian Gauge Theories,.

Twisted Partition Functions as Order Parameters A Property of Electric and Magnetic Flux in Nonabelian Gauge Theories,

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:09:41.175185Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a6ed386c-001e-44d3-8830-78db9121cc83 · outbound

This paper cites Topology of the Gauge Condition and New Confinement Phases in Nonabelian Gauge Theories,.

Twisted Partition Functions as Order Parameters Topology of the Gauge Condition and New Confinement Phases in Nonabelian Gauge Theories,

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:09:41.007131Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation cc41005a-9c6c-46d5-92fb-8dd026bd43a9 · outbound

This paper cites Reflection positivity and invertible topological phases.

Twisted Partition Functions as Order Parameters Reflection positivity and invertible topological phases

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:33.440952Z

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Observation ada81689-ae1a-4f74-8e56-f8fca87a924f · outbound

This paper cites On the cobordism classification of symmetry protected topological phases.

Twisted Partition Functions as Order Parameters On the cobordism classification of symmetry protected topological phases

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:33.502991Z

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Observation 3aa928e4-ad1b-4d6e-b8b3-f47d07baebcd · outbound

This paper cites Gapped Boundary Phases of Topological Insulators via Weak Coupling.

Twisted Partition Functions as Order Parameters Gapped Boundary Phases of Topological Insulators via Weak Coupling

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:33.561700Z

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Observation 0c6fe7bc-c058-496b-8218-ac2ca633637d · outbound

This paper cites Dai-Freed theorem and topological phases of matter.

Twisted Partition Functions as Order Parameters Dai-Freed theorem and topological phases of matter

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:33.619327Z

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Observation 9ad97d0f-6c66-4935-aae6-4e3a89eabc25 · outbound

This paper cites Continuum dynamics of the 1-D Heisenberg antiferromagnetic identification with the O(3) nonlinear sigma model,.

Twisted Partition Functions as Order Parameters Continuum dynamics of the 1-D Heisenberg antiferromagnetic identification with the O(3) nonlinear sigma model,

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:09:40.865789Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 940a4f8b-3970-4e58-8fa4-cb1313f393c4 · outbound

This paper cites O (3) Nonlinear sigma Model and the Topological Distinction between Integer- and Half-Integer-Spin Antiferromagnets in Two Dimensions,.

Twisted Partition Functions as Order Parameters O (3) Nonlinear sigma Model and the Topological Distinction between Integer- and Half-Integer-Spin Antiferromagnets in Two Dimensions,

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:09:40.742920Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 209863fc-480c-4032-b714-540dc8832e66 · outbound

This paper cites Anomaly and global inconsistency matching: $\theta$-angles, $SU(3)/U(1)^2$ nonlinear sigma model, $SU(3)$ chains and its generalizations.

Twisted Partition Functions as Order Parameters Anomaly and global inconsistency matching: $\theta$-angles, $SU(3)/U(1)^2$ nonlinear sigma model, $SU(3)$ chains and its generalizations

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:33.858306Z

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Observation d646c4ce-cde3-4d52-b6cd-dcb0c444dbab · outbound

This paper cites Symmetry-Enriched Quantum Spin Liquids in $(3+1)d$.

Twisted Partition Functions as Order Parameters Symmetry-Enriched Quantum Spin Liquids in $(3+1)d$

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:33.936347Z

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Observation 3f4b942a-179f-4e3c-aee3-17259fd725ef · outbound

This paper cites Anomalies and Symmetry Fractionalization.

Twisted Partition Functions as Order Parameters Anomalies and Symmetry Fractionalization

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:34.054993Z

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Observation b9c85b45-e92d-4df7-9a24-c852a6815bf9 · outbound

This paper cites Fractionalization of Coset Non-Invertible Symmetry and Exotic Hall Conductance.

Twisted Partition Functions as Order Parameters Fractionalization of Coset Non-Invertible Symmetry and Exotic Hall Conductance

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:34.155765Z

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Observation 488634a6-130b-4468-9315-2345a67e0b3c · outbound

This paper cites Consequences of Symmetry Fractionalization without 1-Form Global Symmetries,.

Twisted Partition Functions as Order Parameters Consequences of Symmetry Fractionalization without 1-Form Global Symmetries,

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:34.214787Z

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Observation 36a8c294-12f0-46a0-908f-1f9df27dcfaf · outbound

This paper cites Topological Field Theory, Higher Categories, and Their Applications.

Twisted Partition Functions as Order Parameters Topological Field Theory, Higher Categories, and Their Applications

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:34.287579Z

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Observation 48b9b6c7-a30b-4a23-8ab9-5b681d33b4f9 · outbound

This paper cites Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions.

Twisted Partition Functions as Order Parameters Braided fusion categories, gravitational anomalies, and the mathematical framework for topological orders in any dimensions

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:34.349358Z

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Observation 2c0294ad-226e-4a15-b368-f4affbdbbaa8 · outbound

This paper cites Topological Gauge Theories and Group Cohomology,.

Twisted Partition Functions as Order Parameters Topological Gauge Theories and Group Cohomology,

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:09:40.582252Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation c2087516-f9d6-4acb-a58b-e4ba7056c8ba · outbound

This paper cites Preroughening transitions in crystal surfaces and valence-bond phases in quantum spin chains,.

Twisted Partition Functions as Order Parameters Preroughening transitions in crystal surfaces and valence-bond phases in quantum spin chains,

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:09:40.464349Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7f3d2e37-319c-4cc3-b7a6-c5b2ef781050 · outbound

This paper cites Hidden symmetry breaking and the Haldane phase inS=1 quantum spin chains,.

Twisted Partition Functions as Order Parameters Hidden symmetry breaking and the Haldane phase inS=1 quantum spin chains,

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:09:40.354530Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 7132430e-6ea4-4c64-aac5-4d7242b4f6db · outbound

This paper cites Hidden Z2 ×Z2 symmetry breaking in Haldane-gap antiferromagnets,.

Twisted Partition Functions as Order Parameters Hidden Z2 ×Z2 symmetry breaking in Haldane-gap antiferromagnets,

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:09:40.245655Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3f963634-89ff-43cf-8934-d3b55959a8e1 · outbound

This paper cites Non-Invertible Duality Transformation Between SPT and SSB Phases.

Twisted Partition Functions as Order Parameters Non-Invertible Duality Transformation Between SPT and SSB Phases

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:34.792746Z

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Observation a9c8775c-32f1-4259-a4e1-314fffd378c1 · outbound

This paper cites Coupling a QFT to a TQFT and Duality.

Twisted Partition Functions as Order Parameters Coupling a QFT to a TQFT and Duality

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:34.859586Z

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Observation 60e049f7-04fd-4918-8ee9-0b24c813e127 · outbound

This paper cites Topological Operators and Completeness of Spectrum in Discrete Gauge Theories.

Twisted Partition Functions as Order Parameters Topological Operators and Completeness of Spectrum in Discrete Gauge Theories

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:34.932181Z

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Observation d8df636f-eaf7-4c4c-b29d-e0002f47d999 · outbound

This paper cites Semi-Abelian gauge theories, non-invertible symmetries, and string tensions beyond $N$-ality.

Twisted Partition Functions as Order Parameters Semi-Abelian gauge theories, non-invertible symmetries, and string tensions beyond $N$-ality

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:35.030388Z

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Observation 7225af4c-9da4-40b0-a2c2-3dcd3fb4aa47 · outbound

This paper cites Non-invertible 1-form symmetry and Casimir scaling in 2d Yang-Mills theory.

Twisted Partition Functions as Order Parameters Non-invertible 1-form symmetry and Casimir scaling in 2d Yang-Mills theory

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:35.130725Z

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Observation 91c33875-d559-42aa-acdb-d2d45d8631d6 · outbound

This paper cites Non-Invertible Global Symmetries and Completeness of the Spectrum.

Twisted Partition Functions as Order Parameters Non-Invertible Global Symmetries and Completeness of the Spectrum

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:35.224108Z

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Observation ea85c93d-e0ec-462f-bf75-55bd9f6d88b8 · outbound

This paper cites Higher-dimensional Algebra and Topological Quantum Field Theory.

Twisted Partition Functions as Order Parameters Higher-dimensional Algebra and Topological Quantum Field Theory

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:35.312304Z

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Observation e0e03ef8-e903-4d18-b8e1-c1e429978027 · outbound

This paper cites On the Classification of Topological Field Theories.

Twisted Partition Functions as Order Parameters On the Classification of Topological Field Theories

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:35.417433Z

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Observation 8acc9a8e-a237-43be-8dc6-e5e9d4ac3bc5 · outbound

This paper cites On the classification of topological orders.

Twisted Partition Functions as Order Parameters On the classification of topological orders

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:35.504615Z

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Observation f481d0e6-c566-4db2-80c1-5495b23aacbd · outbound

This paper cites Classification of topological phases with finite internal symmetries in all dimensions.

Twisted Partition Functions as Order Parameters Classification of topological phases with finite internal symmetries in all dimensions

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:35.581294Z

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Observation fcea4de2-8bb7-4892-8757-0bb580c37bb2 · outbound

This paper cites Gapped Phases with Non-Invertible Symmetries: (1+1)d.

Twisted Partition Functions as Order Parameters Gapped Phases with Non-Invertible Symmetries: (1+1)d

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:35.663090Z

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Observation ea411d0b-a8b6-4a44-bc97-81493671b473 · outbound

This paper cites Categorical Landau Paradigm for Gapped Phases.

Twisted Partition Functions as Order Parameters Categorical Landau Paradigm for Gapped Phases

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:35.733524Z

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Observation d848ecce-8771-4018-95e6-dccc9a052bc2 · outbound

This paper cites Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I.

Twisted Partition Functions as Order Parameters Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part I

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:35.842627Z

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Observation 3209e5e4-c286-4135-a138-6e6b9d87e82d · outbound

This paper cites Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part II.

Twisted Partition Functions as Order Parameters Gapped Phases in (2+1)d with Non-Invertible Symmetries: Part II

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:35.935869Z

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Observation ca9e957e-5f54-4c08-ac96-0f6038701fec · outbound

This paper cites Topological Field Theory on a Lattice, Discrete Theta-Angles and Confinement.

Twisted Partition Functions as Order Parameters Topological Field Theory on a Lattice, Discrete Theta-Angles and Confinement

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:36.012245Z

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Observation 47c05332-461b-4e9a-91a9-1c40b64a5278 · outbound

This paper cites Higher symmetry and gapped phases of gauge theories.

Twisted Partition Functions as Order Parameters Higher symmetry and gapped phases of gauge theories

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:36.083408Z

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Observation bf22d602-e323-4f7f-9f6b-8a00a161b80e · outbound

This paper cites Topological Quantum Field Theory, Nonlocal Operators, and Gapped Phases of Gauge Theories.

Twisted Partition Functions as Order Parameters Topological Quantum Field Theory, Nonlocal Operators, and Gapped Phases of Gauge Theories

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:36.169269Z

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Observation fed3d75e-17ed-42ca-9cad-6ce2ae4080bd · outbound

This paper cites There are no Goldstone bosons in two-dimensions,.

Twisted Partition Functions as Order Parameters There are no Goldstone bosons in two-dimensions,

Reference 56

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:09:40.119052Z

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No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation af7688cd-f806-4bd2-8cb0-3865c64c5a1f · outbound

This paper cites Absence of ferromagnetism or antiferromagnetism in one-dimensional or two-dimensional isotropic Heisenberg models,.

Twisted Partition Functions as Order Parameters Absence of ferromagnetism or antiferromagnetism in one-dimensional or two-dimensional isotropic Heisenberg models,

Reference 57

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T15:09:39.981277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 446ecea6-a934-4111-b77f-597a442e562a · outbound

This paper cites Comments on Abelian Higgs Models and Persistent Order.

Twisted Partition Functions as Order Parameters Comments on Abelian Higgs Models and Persistent Order

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:36.350140Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 15bdeb04-4c94-48f4-978c-a806ee177d71 · outbound

This paper cites Line Defect Quantum Numbers & Anomalies.

Twisted Partition Functions as Order Parameters Line Defect Quantum Numbers & Anomalies

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:36.410620Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ad769bdb-8fcf-4667-a3eb-9560d3a495aa · outbound

This paper cites Gauging non-invertible symmetries on the lattice.

Twisted Partition Functions as Order Parameters Gauging non-invertible symmetries on the lattice

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:36.478849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fdc9a46d-f211-4c28-acfb-7fc29c449e52 · outbound

This paper cites Anomalies of Generalized Symmetries from Solitonic Defects.

Twisted Partition Functions as Order Parameters Anomalies of Generalized Symmetries from Solitonic Defects

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:36.539273Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8aa0a15-f793-4f94-9e4c-2dc5dd41668a · outbound

This paper cites Mixed Anomalies of Magnetic Symmetries.

Twisted Partition Functions as Order Parameters Mixed Anomalies of Magnetic Symmetries

Reference 62

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:09:38.724920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 3cbddee4-355b-4ec7-8f8d-8bfe30b637ed · outbound

This paper cites Solitonic symmetry beyond homotopy: Invertibility from bordism and noninvertibility from topological quantum field theory.

Twisted Partition Functions as Order Parameters Solitonic symmetry beyond homotopy: Invertibility from bordism and noninvertibility from topological quantum field theory

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:36.717142Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b1a88aa-c849-4f43-995d-43cc26360bce · outbound

This paper cites Non-Invertible Defects in Nonlinear Sigma Models and Coupling to Topological Orders.

Twisted Partition Functions as Order Parameters Non-Invertible Defects in Nonlinear Sigma Models and Coupling to Topological Orders

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:36.775104Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 86d1b844-b8bb-4b10-b909-c4c86bbe6744 · outbound

This paper cites Solitonic symmetry as non-invertible symmetry: cohomology theories with TQFT coefficients.

Twisted Partition Functions as Order Parameters Solitonic symmetry as non-invertible symmetry: cohomology theories with TQFT coefficients

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:36.911721Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation da57bf41-6064-44f6-94f4-c373986c7a2a · outbound

This paper cites Emergent generalized symmetries in ordered phases and applications to quantum disordering.

Twisted Partition Functions as Order Parameters Emergent generalized symmetries in ordered phases and applications to quantum disordering

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:37.019959Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ac2605aa-b4e3-41aa-9814-c70ac436cf29 · outbound

This paper cites Generalized symmetries in singularity-free nonlinear $\sigma$ models and their disordered phases.

Twisted Partition Functions as Order Parameters Generalized symmetries in singularity-free nonlinear $\sigma$ models and their disordered phases

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:37.086160Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 71b4ba3d-3204-4ad3-8225-4150fd104793 · outbound

This paper cites Tensor renormalization group approach to 2D classical lattice models.

Twisted Partition Functions as Order Parameters Tensor renormalization group approach to 2D classical lattice models

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:37.232263Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7166ad0d-d66b-4f5b-92b6-32c1be0e1fc3 · outbound

This paper cites Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order.

Twisted Partition Functions as Order Parameters Tensor-Entanglement-Filtering Renormalization Approach and Symmetry Protected Topological Order

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:37.428245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 41d914df-90a3-4c55-85c1-67ef8a382b51 · outbound

This paper cites Coarse-graining renormalization by higher-order singular value decomposition.

Twisted Partition Functions as Order Parameters Coarse-graining renormalization by higher-order singular value decomposition

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:37.567060Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9d469c1b-7480-4b3c-9b3f-e328598280a1 · outbound

This paper cites Phase transition of the q-state clock model: duality and tensor renormalization.

Twisted Partition Functions as Order Parameters Phase transition of the q-state clock model: duality and tensor renormalization

Reference 71

Resolution: verified exact; local_arxiv, observed 2026-08-07T15:09:38.267108Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 34a6285c-ec3c-4631-902b-f67f5d28a904 · outbound

This paper cites Phase transition of four-dimensional Ising model with higher-order tensor renormalization group.

Twisted Partition Functions as Order Parameters Phase transition of four-dimensional Ising model with higher-order tensor renormalization group

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:37.836994Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4a06717c-b4f9-497b-951c-dd1cf62c5c43 · outbound

This paper cites $SU(2)$ principal chiral model with tensor renormalization group on a cubic lattice.

Twisted Partition Functions as Order Parameters $SU(2)$ principal chiral model with tensor renormalization group on a cubic lattice

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-07T15:09:37.983458Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 16e929f3-39e7-407c-9e2c-2d5f38822991 · inbound

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries cites this paper.

2d Cardy-Rabinovici model with the modified Villain lattice: Exact dualities and symmetries Twisted Partition Functions as Order Parameters

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-07T14:22:36.252737Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation df7512ad-6010-4355-8b46-b96a511eb2ad · inbound

Anomaly-induced vanishing of brane partition functions cites this paper.

Anomaly-induced vanishing of brane partition functions Twisted Partition Functions as Order Parameters

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T08:38:29.268465Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation efdfeef9-3bde-4d79-9dda-832d93e33597 · inbound

Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions cites this paper.

Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions Twisted Partition Functions as Order Parameters

Reference 27

Resolution: verified exact; arxiv_id, observed 2026-05-16T17:38:10.757947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 07f88259-5225-4310-926c-1fe76fdb5430 · inbound

Deconfinement from Thermal Tensor Networks: Universal CFT signature in (2+1)-dimensional $\mathbb{Z}_N$ lattice gauge theory cites this paper.

Deconfinement from Thermal Tensor Networks: Universal CFT signature in (2+1)-dimensional $\mathbb{Z}_N$ lattice gauge theory Twisted Partition Functions as Order Parameters

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-02T23:39:49.503503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3c433f36-2215-4b09-998b-cc83b4b60511 · inbound

The state/defect correspondence cites this paper.

The state/defect correspondence Twisted Partition Functions as Order Parameters

Reference 122

Resolution: verified exact; arxiv_id, observed 2026-07-03T12:48:12.176170Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation a5369555-0af5-472f-b010-77286ee0f039 · inbound

Numerical Hints for Dyon Condensation at $\theta=2\pi$ via Wilson-'t Hooft Loops in $SU(2)$ Yang-Mills Theory cites this paper.

Numerical Hints for Dyon Condensation at $\theta=2\pi$ via Wilson-'t Hooft Loops in $SU(2)$ Yang-Mills Theory Twisted Partition Functions as Order Parameters

Reference 38

Resolution: verified exact; arxiv_id, observed 2026-07-03T16:48:40.190926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation 086a2bf2-9880-46fb-affc-96e2dc46df54 · inbound

Monopoles, Center Vortices, Confinement in (3+1)d, and the Lens-Space Twisted Partition Function cites this paper.

Monopoles, Center Vortices, Confinement in (3+1)d, and the Lens-Space Twisted Partition Function Twisted Partition Functions as Order Parameters

Reference 67

Resolution: verified exact; arxiv_id, observed 2026-07-03T21:48:59.409430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.

Observation ffeb81c6-11cb-4c48-b58b-0735b7873179 · inbound

Monte Carlo reconstruction of symmetry-twisted partition function ratios: the critical 3D Ising cites this paper.

Monte Carlo reconstruction of symmetry-twisted partition function ratios: the critical 3D Ising Twisted Partition Functions as Order Parameters

Reference 13

Resolution: verified exact; arxiv_id, observed 2026-07-02T01:16:23.977880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-09T06:31:02.800959+00:00.