{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:SCHZJWGZECRLVSVMGZ6TXWKBZT","short_pith_number":"pith:SCHZJWGZ","schema_version":"1.0","canonical_sha256":"908f94d8d920a2bacaac367d3bd941ccd136f046f5b9242ab9f276b280258f62","source":{"kind":"arxiv","id":"1306.0700","version":1},"attestation_state":"computed","paper":{"title":"Symmetry breaking in binary chain with nonlinear sites","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"nlin.CD","authors_text":"Almas F. Sadreev, Dmitrii N. Maksimov","submitted_at":"2013-06-04T08:39:47Z","abstract_excerpt":"We consider a system of two or four nonlinear sites coupled with binary chain waveguides. When a monochromatic wave is injected into the first (symmetric) propagation channel the presence of cubic nonlinearity can lead to symmetry breaking giving rise to emission of antisymmetric wave into the second (antisymmetric) propagation channel of the waveguides. We found that in the case of nonlinear plaquette there is a domain in the parameter space where neither symmetry preserving nor symmetry breaking stable stationary solutions exit. As a result injection of a monochromatic symmetric wave gives r"},"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":"1306.0700","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2013-06-04T08:39:47Z","cross_cats_sorted":["nlin.PS"],"title_canon_sha256":"98fea57b1b9fada1487dc2535de220606aedb7d4d5a33023efff28ed544852d9","abstract_canon_sha256":"ca68f85190aa4053acfa7f13823a58de4069d7ebbcb3b9d51dad3bbb63eb9860"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:33.137697Z","signature_b64":"C2aryLkU5Gc+xeF3ZV1PGmnYklnhDNJwb4ojCoPrLws73xNd/gMMcpEipZQvZL8RTueD+QI5CO0/z/VyrMsMCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"908f94d8d920a2bacaac367d3bd941ccd136f046f5b9242ab9f276b280258f62","last_reissued_at":"2026-05-18T01:49:33.137219Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:33.137219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetry breaking in binary chain with nonlinear sites","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.PS"],"primary_cat":"nlin.CD","authors_text":"Almas F. Sadreev, Dmitrii N. Maksimov","submitted_at":"2013-06-04T08:39:47Z","abstract_excerpt":"We consider a system of two or four nonlinear sites coupled with binary chain waveguides. When a monochromatic wave is injected into the first (symmetric) propagation channel the presence of cubic nonlinearity can lead to symmetry breaking giving rise to emission of antisymmetric wave into the second (antisymmetric) propagation channel of the waveguides. We found that in the case of nonlinear plaquette there is a domain in the parameter space where neither symmetry preserving nor symmetry breaking stable stationary solutions exit. As a result injection of a monochromatic symmetric wave gives r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.0700","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":"1306.0700","created_at":"2026-05-18T01:49:33.137297+00:00"},{"alias_kind":"arxiv_version","alias_value":"1306.0700v1","created_at":"2026-05-18T01:49:33.137297+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.0700","created_at":"2026-05-18T01:49:33.137297+00:00"},{"alias_kind":"pith_short_12","alias_value":"SCHZJWGZECRL","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_16","alias_value":"SCHZJWGZECRLVSVM","created_at":"2026-05-18T12:27:59.945178+00:00"},{"alias_kind":"pith_short_8","alias_value":"SCHZJWGZ","created_at":"2026-05-18T12:27:59.945178+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/SCHZJWGZECRLVSVMGZ6TXWKBZT","json":"https://pith.science/pith/SCHZJWGZECRLVSVMGZ6TXWKBZT.json","graph_json":"https://pith.science/api/pith-number/SCHZJWGZECRLVSVMGZ6TXWKBZT/graph.json","events_json":"https://pith.science/api/pith-number/SCHZJWGZECRLVSVMGZ6TXWKBZT/events.json","paper":"https://pith.science/paper/SCHZJWGZ"},"agent_actions":{"view_html":"https://pith.science/pith/SCHZJWGZECRLVSVMGZ6TXWKBZT","download_json":"https://pith.science/pith/SCHZJWGZECRLVSVMGZ6TXWKBZT.json","view_paper":"https://pith.science/paper/SCHZJWGZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1306.0700&json=true","fetch_graph":"https://pith.science/api/pith-number/SCHZJWGZECRLVSVMGZ6TXWKBZT/graph.json","fetch_events":"https://pith.science/api/pith-number/SCHZJWGZECRLVSVMGZ6TXWKBZT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SCHZJWGZECRLVSVMGZ6TXWKBZT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SCHZJWGZECRLVSVMGZ6TXWKBZT/action/storage_attestation","attest_author":"https://pith.science/pith/SCHZJWGZECRLVSVMGZ6TXWKBZT/action/author_attestation","sign_citation":"https://pith.science/pith/SCHZJWGZECRLVSVMGZ6TXWKBZT/action/citation_signature","submit_replication":"https://pith.science/pith/SCHZJWGZECRLVSVMGZ6TXWKBZT/action/replication_record"}},"created_at":"2026-05-18T01:49:33.137297+00:00","updated_at":"2026-05-18T01:49:33.137297+00:00"}