{"paper":{"title":"Self-image effects for diffraction and dispersion","arxiv_id":"physics/0603019","primary_cat":"physics.optics","submitted_at":"2006-03-03T19:12:21+00:00","version_compiled":"v1"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v1","sentences":[{"i":0,"p":0.7,"id":"s0","own":true,"role":"contribution","text":"Excerpt: We apply the wavelet transform to the fractal Talbot effect in both diffraction and fiber dispersion.","hedge":{"p":0.94,"label":"asserted"},"own_p":0.92,"main_claim_p":0.07,"quantitative":false,"quantitative_p":0.03,"role_probabilities":{"gap":0.0,"method":0.3,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.7,"interpretation":0.0}},{"i":1,"p":1.0,"id":"s1","own":true,"role":"result","text":"In the first case, the self similar character of the transverse paraxial field at irrational multiples of the Talbot distance is confirmed, whereas in the second case it is shown that the field is not self similar for supergaussian pulses.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.88,"main_claim_p":0.56,"quantitative":false,"quantitative_p":0.3,"role_probabilities":{"gap":0.0,"method":0.0,"result":1.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":2,"p":0.53,"id":"s2","own":true,"role":"result","text":"Finally, a high-precision measurement of irrational distances employing the fractal index determined with the wavelet transform is pointed out","hedge":{"p":0.5,"label":"asserted"},"own_p":0.64,"main_claim_p":0.24,"quantitative":false,"quantitative_p":0.1,"role_probabilities":{"gap":0.0,"method":0.02,"result":0.53,"background":0.0,"limitation":0.0,"future_work":0.24,"contribution":0.17,"interpretation":0.04}}]},"compiled":{"main_claim":{"p":0.97,"text":"In the first case, the self similar character of the transverse paraxial field at irrational multiples of the Talbot distance is confirmed, whereas in the second case it is shown that the field is not self similar for supergaussian pulses.","location":"abstract s1","hedge_strength":{"p":1.0,"label":"asserted"}},"provenance":{"route":{"via":"TypeSafe API","model":"classifier-1.13.0","endpoint":"https://api.typesafe.ai/v1/systemone","provider":"TypeSafe"},"packing":"one request per paper","requests":1,"input_tokens":2958,"cost_usd_reported":0.0},"compiled_at":"2026-09-23","bank_version":"abstract-p1-20260923","model_version":"classifier-1.13.0","abstract_states":{"claims_first":0.03,"states_limitation":0.55,"human_participants":0.02,"controlled_comparison":0.03,"randomized_assignment":0.01,"states_quantitative_result":0.08,"compares_with_prior_results":0.16,"mentions_code_or_data_availability":0.02},"evidential_basis":{"p":0.51,"value":"simulation or computation","probabilities":{"argument":0.02,"literature":0.0,"proof_or_derivation":0.23,"analysis_of_existing_data":0.01,"observation_or_experiment":0.23,"simulation_or_computation":0.51}},"contribution_type":{"p":0.47,"value":"method or tool","probabilities":{"review":0.0,"method_or_tool":0.47,"empirical_study":0.15,"simulation_study":0.09,"theoretical_result":0.29,"dataset_or_benchmark":0.0,"position_or_commentary":0.0}},"contribution_statement":{"p":0.9,"text":"Excerpt: We apply the wavelet transform to the fractal Talbot effect in both diffraction and fiber dispersion.","location":"abstract s0"}},"coverage":{"tier":"abstract","levels_run":["P abstract"],"not_examined":["full text","figures and tables","references and citing sentences","relations to other papers"],"sources_read":["arXiv listing abstract v1"],"levels_not_run":["S sections","T body sentences","C citations","R cross-paper relations"],"sentences_examined":3,"sentences_in_abstract":3},"measured_accuracy":{"url":"https://pith.science/accuracy","measured_on":"2026-10-02","method":"two independent model families labelled a fresh random sample blind; the figure is how often the published label matches their consensus","sentence_role_agreement":0.92,"main_claim_agreement":0.908,"typed_citation_agreement":0.933,"typed_citation_agreement_95_interval":[0.917,0.945],"review_comments_accurate":0.758,"review_comments_accurate_95_interval":[0.684,0.82],"review_caught_admitted_error_found_or_related":0.448}}