{"arxiv_id":"1808.05616","incoming":{"papers":18,"sentences":24,"groups":[{"kind":"background","label":"Cites it as background","papers":7,"sentences":7,"quotes":[{"arxiv_id":"1812.05104","title":"Towards classification of Fracton phases: the multipole algebra","url":"/paper/1812.05104","section":"Introduction","sentence":"In a somewhat surprising parallel development it was argued that certain type-I fracton models are related to a quantum theory of elasticity [ref] .","intent_p":0.81,"contests_p":null},{"arxiv_id":"1807.11479","title":"The Fracton Gauge Principle","url":"/paper/1807.11479","section":"Introduction","sentence":"[ref] There are many exciting questions remaining to be answered.","intent_p":0.96,"contests_p":null},{"arxiv_id":"1809.10275","title":"Fractonic Matter in Symmetry-Enriched U(1) Gauge Theory","url":"/paper/1809.10275","section":"Discussion","sentence":"Related work: while this manuscript was being prepared several relevant works on symmetry-enforced fractonic matter appeared [ref] .","intent_p":0.9,"contests_p":null},{"arxiv_id":"2111.07947","title":"Fractons, non-Riemannian Geometry, and Double Field Theory","url":"/paper/2111.07947","section":"Introduction","sentence":"We refer readers to [ref] for reviews and [ref] for further significant developments.","intent_p":1.0,"contests_p":null},{"arxiv_id":"1903.12246","title":"Compactifying fracton stabilizer models","url":"/paper/1903.12246","section":"Introduction","sentence":"Similar phenomena have been observed in higher rank gauge theories [ref] .","intent_p":0.9,"contests_p":null}]}],"unlabelled_sentences":17},"outgoing":{"papers":32,"sentences":37,"groups":[{"kind":"contests","label":"Contests","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1711.11044","title":"Fracton-Elasticity Duality","url":"/paper/1711.11044","section":"Introduction","sentence":"Specifically, the tensor-only gauge theory [ref] is incomplete as it does not incorporate the quantum statistics of the constituent particles, which is essential in a fluid state.","intent_p":0.48,"contests_p":0.71}]},{"kind":"extends","label":"Builds on","papers":1,"sentences":1,"quotes":[{"arxiv_id":"1711.11044","title":"Fracton-Elasticity Duality","url":"/paper/1711.11044","section":"Introduction","sentence":"This duality combines the newly established fracton-elasticity duality [ref] with conventional particle-vortex duality [ref] into one “mother” duality, featuring both vector and tensor gauge fields, coupled by “mutual” axion terms and exhibiting an associated generalized Witten effect.","intent_p":0.91,"contests_p":null}]},{"kind":"comparison","label":"Compares with","papers":2,"sentences":2,"quotes":[{"arxiv_id":"cond-mat/0311326","title":"\"Deconfined\" quantum critical points","url":"/paper/cond-mat/0311326","section":"Introduction","sentence":"[ref] Similar charge attachment to lattice defects has also been observed in the context of melting transitions in quantum Hall phases.","intent_p":0.8,"contests_p":null},{"arxiv_id":"cond-mat/0404718","title":"Deconfined criticality critically defined","url":"/paper/cond-mat/0404718","section":"Introduction","sentence":"[ref] Similar charge attachment to lattice defects has also been observed in the context of melting transitions in quantum Hall phases.","intent_p":0.8,"contests_p":null}]},{"kind":"background","label":"Cites as background","papers":22,"sentences":22,"quotes":[{"arxiv_id":"1101.1962","title":"Local stabilizer codes in three dimensions without string logical operators","url":"/paper/1101.1962","section":"Introduction","sentence":"[ref] (We refer the reader to a recent review [ref] and to selected literature [ref] for an overview of fractons.) Phonons map onto the gapless gauge modes, while disclinations and dislocations map onto fracton charges and dipoles, respectively.","intent_p":0.9,"contests_p":null},{"arxiv_id":"1505.02576","title":"A New Kind of Topological Quantum Order: A Dimensional Hierarchy of Quasiparticles Built from Stationary Excitations","url":"/paper/1505.02576","section":"Introduction","sentence":"[ref] (We refer the reader to a recent review [ref] and to selected literature [ref] for an overview of fractons.) Phonons map onto the gapless gauge modes, while disclinations and dislocations map onto fracton charges and dipoles, respectively.","intent_p":0.9,"contests_p":null},{"arxiv_id":"1603.04442","title":"Fracton Topological Order, Generalized Lattice Gauge Theory and Duality","url":"/paper/1603.04442","section":"Introduction","sentence":"[ref] (We refer the reader to a recent review [ref] and to selected literature [ref] for an overview of fractons.) Phonons map onto the gapless gauge modes, while disclinations and dislocations map onto fracton charges and dipoles, respectively.","intent_p":0.9,"contests_p":null},{"arxiv_id":"1604.05329","title":"Subdimensional Particle Structure of Higher Rank U(1) Spin Liquids","url":"/paper/1604.05329","section":"Introduction","sentence":"[ref] (We refer the reader to a recent review [ref] and to selected literature [ref] for an overview of fractons.) Phonons map onto the gapless gauge modes, while disclinations and dislocations map onto fracton charges and dipoles, respectively.","intent_p":0.9,"contests_p":null},{"arxiv_id":"1606.08857","title":"Generalized Electromagnetism of Subdimensional Particles: A Spin Liquid Story","url":"/paper/1606.08857","section":"Introduction","sentence":"[ref] (We refer the reader to a recent review [ref] and to selected literature [ref] for an overview of fractons.) Phonons map onto the gapless gauge modes, while disclinations and dislocations map onto fracton charges and dipoles, respectively.","intent_p":0.9,"contests_p":null}]}],"unlabelled_sentences":11},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":{"arxiv_id":"1808.05616","kind":"model","paper_version":2,"prompt_version":"held-up-v3.5","generated_at":"2026-10-27T23:59:18+00:00","loaded_at":"2026-10-28T01:04:46.515598+00:00","evidence":"some","account":[],"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"entries":[],"papers_all":1,"self_papers":1,"self_entries":[{"p":0.96,"quote":null,"citing":[{"self":true,"year":2023,"title":"Quantum vortex lattice: Lifshitz duality, topological defects and multipole symmetries","arxiv_id":"2310.13794"}],"verified":true,"paraphrase":"Linearized the appearance of the phonon field in this paper by introducing lattice momentum, stress tensor and bond angle fields."}]}],"counts":{"by_kind":{"comparison":3,"method_or_tool":1,"supports_this_paper":2},"dropped":{"relied_on":0,"unknown_ids":0,"account_lines":0,"contest_vetoed":0,"below_threshold":0,"contest_drawback":0,"contest_without_basis":0,"contest_not_one_sentence":0,"contest_on_group_citation":0},"papers_read":5,"self_papers":9,"citing_papers":47,"sentences_read":6,"citing_sentences":81,"unambiguous_read":6,"typed_independent":2,"independent_papers":38,"by_kind_independent":{"comparison":2}},"input_sha256":"c3ca65f487a69b7534c289f1d465f4cee02afa9a4488173cb5102b5c05981b91","method":"For a paper with five or more citing arXiv papers, Pith selected up to 40 citing sentences its citation classifier typed, read those whose citation markers point at this paper alone, and wrote one paraphrase for each later paper in each group, each resting on one sentence. A later paper is listed under a label only when the classifier gives one of its sentences that label at intent probability 0.8 or more (0.95 for support), Pith's reading of the sentence finds that the citing paper itself did it, and a second check of the paraphrase against the sentence passes. The section lists uses only: building on the paper, using its method, tool, data or values, comparing with it and citing it as support. It does not list criticism or disagreement, so their absence says nothing about how the paper has been received. Code counted the papers, wrote the summary from the listed entries, set the evidence level and linked each entry to its citing paper. Quotes are copied from the citing sentence and shown only when the citing paper's licence is CC BY, CC BY-SA or CC0; otherwise the paraphrase is shown. Papers that share an author with this one are listed apart. A paper with fewer citing papers gets a line counted by code, which names uses only: a later paper whose only label is a contest is counted as not described.","line":null,"summary":"1 paper by the same authors is listed below: 1 used its method or tool."},"_links":{"html":"https://pith.science/paper/1808.05616"}}