{"arxiv_id":"hep-ph/0304285","incoming":{"papers":41,"sentences":83,"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":5,"sentences":9,"quotes":[{"arxiv_id":"0805.4159","title":"Primordial magnetic fields from preheating at the electroweak scale","url":"/paper/0805.4159","section":"Methodological set up","sentence":"Our approach is based upon the classical approximation (details can be found in [ref] - see also [ref] ).","intent_p":0.96,"contests_p":null},{"arxiv_id":"0801.3653","title":"Helical Magnetic Fields from Sphaleron Decay and Baryogenesis","url":"/paper/0801.3653","section":"Introduction","sentence":"The decay is studied by evolving the $SU(2)×U(1)$ electroweak field equations using the standard Wilsonian approach for lattice gauge fields [ref] .","intent_p":1.0,"contests_p":null},{"arxiv_id":"1006.0217","title":"Gravitational Waves from Abelian Gauge Fields and Cosmic Strings at Preheating","url":"/paper/1006.0217","section":"Hybrid 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to our theory a Lagrange multiplier term [ref] , [equation] The relevant variations are [equation] and [equation] The resultant equation of motion (in matrix form) is [equation] However, we seek to eliminate these Lagrange multipliers from our system of equations.","intent_p":0.97,"contests_p":null}]},{"kind":"data_used","label":"Uses its data or values","papers":1,"sentences":3,"quotes":[{"arxiv_id":"1006.0249","title":"Possible Role of the WZ-Top-Quark Bags in Baryogenesis","url":"/paper/1006.0249","section":"Hybrid inflation scenario: bosonic simulations and their discussion","sentence":"Fig.[ref] (from [ref] ) show an example of a snapshot of the Higgs field modulus.","intent_p":0.93,"contests_p":null}]},{"kind":"comparison","label":"Compares with it","papers":2,"sentences":3,"quotes":[{"arxiv_id":"1006.0249","title":"Possible Role of the WZ-Top-Quark Bags in Baryogenesis","url":"/paper/1006.0249","section":"The exponential effects and the lifetime","sentence":"Now we turn to the 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etc.","intent_p":0.98,"contests_p":null},{"arxiv_id":"1502.06506","title":"Gauge-preheating and the end of axion inflation","url":"/paper/1502.06506","section":"Introduction","sentence":"Furthermore, couplings of scalar fields to Abelian [ref] or non-Abelian gauge fields in cosmological settings have been studied in recent years [ref] .","intent_p":0.98,"contests_p":null},{"arxiv_id":"1805.04550","title":"Gravitational waves from gauge preheating","url":"/paper/1805.04550","section":"Introduction","sentence":"While preheating into scalars is well-established, comparatively less work has been done on direct preheating into gauge fields [ref] .","intent_p":0.93,"contests_p":null}]}],"unlabelled_sentences":48},"outgoing":{"papers":0,"sentences":0,"groups":[],"unlabelled_sentences":0},"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":"hep-ph/0304285","kind":"model","paper_version":2,"prompt_version":"held-up-v3.5","generated_at":"2026-10-27T22:08:24+00:00","loaded_at":"2026-10-28T01:04:23.567804+00:00","evidence":"some","account":[],"groups":[{"kind":"method_or_tool","label":"Uses its method or tool","papers":1,"entries":[{"p":0.97,"quote":null,"citing":[{"self":false,"year":2017,"title":"Non-Abelian gauge preheating","arxiv_id":"1708.02944"}],"verified":true,"paraphrase":"Introduced a Lagrange multiplier term from this paper into its theory to enforce the unitarity constraint."}],"papers_all":5,"self_papers":0,"self_entries":[]},{"kind":"data_used","label":"Uses its data or values","papers":1,"entries":[{"p":0.93,"quote":null,"citing":[{"self":false,"year":2010,"title":"Possible Role of the WZ-Top-Quark Bags in Baryogenesis","arxiv_id":"1006.0249"}],"verified":true,"paraphrase":"Showed a snapshot of the Higgs field modulus taken from this paper's figure."}],"papers_all":1,"self_papers":0,"self_entries":[]}],"counts":{"by_kind":{"data_used":1,"comparison":2,"method_or_tool":5,"supports_this_paper":1},"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":6,"self_papers":5,"citing_papers":56,"sentences_read":8,"citing_sentences":101,"unambiguous_read":8,"typed_independent":5,"independent_papers":51,"by_kind_independent":{"data_used":1,"comparison":1,"method_or_tool":3,"supports_this_paper":1}},"input_sha256":"06ad987e3ee4920d6c1731ec549513b8f17a222312d7983e325675dd78ce405c","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":"2 later papers by other authors are listed below: 1 used its method or tool and 1 used its data or values."},"_links":{"html":"https://pith.science/paper/hep-ph/0304285"}}