{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:TJ6VXJEUIXUPX7UOUSXQHJKZXV","short_pith_number":"pith:TJ6VXJEU","schema_version":"1.0","canonical_sha256":"9a7d5ba49445e8fbfe8ea4af03a559bd624112d7d68957e6d5acc617d5617d87","source":{"kind":"arxiv","id":"1805.03634","version":2},"attestation_state":"computed","paper":{"title":"Solvable cubic resonant systems","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["gr-qc","hep-th","math-ph","math.AP","math.MP"],"primary_cat":"nlin.SI","authors_text":"Anxo Biasi, Oleg Evnin, Piotr Bizon","submitted_at":"2018-05-09T17:52:06Z","abstract_excerpt":"Weakly nonlinear analysis of resonant PDEs in recent literature has generated a number of resonant systems for slow evolution of the normal mode amplitudes that possess remarkable properties. Despite being infinite-dimensional Hamiltonian systems with cubic nonlinearities in the equations of motion, these resonant systems admit special analytic solutions, which furthermore display periodic perfect energy returns to the initial configurations. Here, we construct a very large class of resonant systems that shares these properties that have so far been seen in specific examples emerging from a fe"},"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":"1805.03634","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"nlin.SI","submitted_at":"2018-05-09T17:52:06Z","cross_cats_sorted":["gr-qc","hep-th","math-ph","math.AP","math.MP"],"title_canon_sha256":"7b88a1b0db4938cab7ea85a482e5286ca5f865af8e693f031e360cdfa8a0d0c7","abstract_canon_sha256":"73ca82df82cb2a74be37da7a8307385dcbc3b8df670e7f587fa76cefa5f13736"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:43:28.433089Z","signature_b64":"Bv2z88RVGIdNEj1/TcVBgr3mRXIG1fVSH8FQzKNzKVgrr+kzLNXvf94InQhqqqn1dttYax2bcKN0MB/MDqVCAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a7d5ba49445e8fbfe8ea4af03a559bd624112d7d68957e6d5acc617d5617d87","last_reissued_at":"2026-05-17T23:43:28.432695Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:43:28.432695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Solvable cubic resonant systems","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["gr-qc","hep-th","math-ph","math.AP","math.MP"],"primary_cat":"nlin.SI","authors_text":"Anxo Biasi, Oleg Evnin, Piotr Bizon","submitted_at":"2018-05-09T17:52:06Z","abstract_excerpt":"Weakly nonlinear analysis of resonant PDEs in recent literature has generated a number of resonant systems for slow evolution of the normal mode amplitudes that possess remarkable properties. Despite being infinite-dimensional Hamiltonian systems with cubic nonlinearities in the equations of motion, these resonant systems admit special analytic solutions, which furthermore display periodic perfect energy returns to the initial configurations. Here, we construct a very large class of resonant systems that shares these properties that have so far been seen in specific examples emerging from a fe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.03634","kind":"arxiv","version":2},"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":"1805.03634","created_at":"2026-05-17T23:43:28.432756+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.03634v2","created_at":"2026-05-17T23:43:28.432756+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.03634","created_at":"2026-05-17T23:43:28.432756+00:00"},{"alias_kind":"pith_short_12","alias_value":"TJ6VXJEUIXUP","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_16","alias_value":"TJ6VXJEUIXUPX7UO","created_at":"2026-05-18T12:32:53.628368+00:00"},{"alias_kind":"pith_short_8","alias_value":"TJ6VXJEU","created_at":"2026-05-18T12:32:53.628368+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2511.03373","citing_title":"A superintegrable quantum field theory","ref_index":30,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TJ6VXJEUIXUPX7UOUSXQHJKZXV","json":"https://pith.science/pith/TJ6VXJEUIXUPX7UOUSXQHJKZXV.json","graph_json":"https://pith.science/api/pith-number/TJ6VXJEUIXUPX7UOUSXQHJKZXV/graph.json","events_json":"https://pith.science/api/pith-number/TJ6VXJEUIXUPX7UOUSXQHJKZXV/events.json","paper":"https://pith.science/paper/TJ6VXJEU"},"agent_actions":{"view_html":"https://pith.science/pith/TJ6VXJEUIXUPX7UOUSXQHJKZXV","download_json":"https://pith.science/pith/TJ6VXJEUIXUPX7UOUSXQHJKZXV.json","view_paper":"https://pith.science/paper/TJ6VXJEU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.03634&json=true","fetch_graph":"https://pith.science/api/pith-number/TJ6VXJEUIXUPX7UOUSXQHJKZXV/graph.json","fetch_events":"https://pith.science/api/pith-number/TJ6VXJEUIXUPX7UOUSXQHJKZXV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TJ6VXJEUIXUPX7UOUSXQHJKZXV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TJ6VXJEUIXUPX7UOUSXQHJKZXV/action/storage_attestation","attest_author":"https://pith.science/pith/TJ6VXJEUIXUPX7UOUSXQHJKZXV/action/author_attestation","sign_citation":"https://pith.science/pith/TJ6VXJEUIXUPX7UOUSXQHJKZXV/action/citation_signature","submit_replication":"https://pith.science/pith/TJ6VXJEUIXUPX7UOUSXQHJKZXV/action/replication_record"}},"created_at":"2026-05-17T23:43:28.432756+00:00","updated_at":"2026-05-17T23:43:28.432756+00:00"}