{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:DOYIIYJS33ZVIKI25IU334NA6B","short_pith_number":"pith:DOYIIYJS","schema_version":"1.0","canonical_sha256":"1bb0846132def354291aea29bdf1a0f05281239499cbd1248f5b054bfa517c07","source":{"kind":"arxiv","id":"1102.0345","version":1},"attestation_state":"computed","paper":{"title":"Number of propagating modes of a diffusive periodic waveguide in the semiclassical limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Agnes Maurel, Felipe Barra, Jaime Zu\\~niga, Vincent Pagneux","submitted_at":"2011-02-02T02:20:15Z","abstract_excerpt":"We study the number of propagating Bloch modes N_B of an infinite periodic billiard chain. The asymptotic semiclassical behavior of this quantity depends on the phase-space dynamics of the unit cell, growing linearly with the wavenumber k in systems with a non-null measure of ballistic trajectories and going like ~ sqrt(k) in diffusive systems. We have calculated numerically N_B for a waveguide with cosine-shaped walls exhibiting strongly diffusive dynamics. The semiclassical prediction for diffusive systems is verified to good accuracy and a connection between this result and the universality"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1102.0345","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-02-02T02:20:15Z","cross_cats_sorted":[],"title_canon_sha256":"13d386648a36a021e5bf28916b96227f1dd1b323c9d665aa66103f390f15af0f","abstract_canon_sha256":"2bd4bd8a58ccbdc51ed9fc1456f7cede433d7a52416d1fb671f977fbd8ecd0ac"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:04:42.409436Z","signature_b64":"L5EzvRpER7ugmEtSYoydydw2r52EowvpvLK0ynV98vZsuJ9hnUYbW0Jedfv8ILtokEEYFc9RHB0ZNDwefeTpAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1bb0846132def354291aea29bdf1a0f05281239499cbd1248f5b054bfa517c07","last_reissued_at":"2026-05-18T04:04:42.408707Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:04:42.408707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Number of propagating modes of a diffusive periodic waveguide in the semiclassical limit","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"quant-ph","authors_text":"Agnes Maurel, Felipe Barra, Jaime Zu\\~niga, Vincent Pagneux","submitted_at":"2011-02-02T02:20:15Z","abstract_excerpt":"We study the number of propagating Bloch modes N_B of an infinite periodic billiard chain. The asymptotic semiclassical behavior of this quantity depends on the phase-space dynamics of the unit cell, growing linearly with the wavenumber k in systems with a non-null measure of ballistic trajectories and going like ~ sqrt(k) in diffusive systems. We have calculated numerically N_B for a waveguide with cosine-shaped walls exhibiting strongly diffusive dynamics. The semiclassical prediction for diffusive systems is verified to good accuracy and a connection between this result and the universality"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0345","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1102.0345","created_at":"2026-05-18T04:04:42.408808+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.0345v1","created_at":"2026-05-18T04:04:42.408808+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0345","created_at":"2026-05-18T04:04:42.408808+00:00"},{"alias_kind":"pith_short_12","alias_value":"DOYIIYJS33ZV","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_16","alias_value":"DOYIIYJS33ZVIKI2","created_at":"2026-05-18T12:26:26.731475+00:00"},{"alias_kind":"pith_short_8","alias_value":"DOYIIYJS","created_at":"2026-05-18T12:26:26.731475+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DOYIIYJS33ZVIKI25IU334NA6B","json":"https://pith.science/pith/DOYIIYJS33ZVIKI25IU334NA6B.json","graph_json":"https://pith.science/api/pith-number/DOYIIYJS33ZVIKI25IU334NA6B/graph.json","events_json":"https://pith.science/api/pith-number/DOYIIYJS33ZVIKI25IU334NA6B/events.json","paper":"https://pith.science/paper/DOYIIYJS"},"agent_actions":{"view_html":"https://pith.science/pith/DOYIIYJS33ZVIKI25IU334NA6B","download_json":"https://pith.science/pith/DOYIIYJS33ZVIKI25IU334NA6B.json","view_paper":"https://pith.science/paper/DOYIIYJS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.0345&json=true","fetch_graph":"https://pith.science/api/pith-number/DOYIIYJS33ZVIKI25IU334NA6B/graph.json","fetch_events":"https://pith.science/api/pith-number/DOYIIYJS33ZVIKI25IU334NA6B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DOYIIYJS33ZVIKI25IU334NA6B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DOYIIYJS33ZVIKI25IU334NA6B/action/storage_attestation","attest_author":"https://pith.science/pith/DOYIIYJS33ZVIKI25IU334NA6B/action/author_attestation","sign_citation":"https://pith.science/pith/DOYIIYJS33ZVIKI25IU334NA6B/action/citation_signature","submit_replication":"https://pith.science/pith/DOYIIYJS33ZVIKI25IU334NA6B/action/replication_record"}},"created_at":"2026-05-18T04:04:42.408808+00:00","updated_at":"2026-05-18T04:04:42.408808+00:00"}