{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:MUTD5KUZA5C3V2CDSNM4GW2W5Q","short_pith_number":"pith:MUTD5KUZ","schema_version":"1.0","canonical_sha256":"65263eaa990745bae8439359c35b56ec287d4d7a6df93a491dde523324c24059","source":{"kind":"arxiv","id":"1512.07181","version":1},"attestation_state":"computed","paper":{"title":"Orbital stability of periodic traveling-wave solutions for the regularized Schamel equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ademir Pastor, Thiago Pinguello de Andrade","submitted_at":"2015-12-22T18:02:42Z","abstract_excerpt":"In this work we study the orbital stability of periodic traveling-wave solutions for dispersive models. The study of traveling waves started in the mid-18th century when John S. Russel established that the flow of water waves in a shallow channel has constant evolution. In recent years, the general strategy to obtain orbital stability consists in proving that the traveling wave in question minimizes a conserved functional restricted to a certain manifold. Although our method can be applied to other models, we deal with the regularized Schamel equation, which contains a fractional nonlinear ter"},"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":"1512.07181","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-12-22T18:02:42Z","cross_cats_sorted":[],"title_canon_sha256":"2c679eb99a79cdd43e2332c37d8ad8309e46f196a0c64c70b9460a0df1cfc279","abstract_canon_sha256":"3ead9ce394129e5f86a3df3126d2732bf3422d68ee3e5acd6dd47a2e6e09b312"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:23:52.700006Z","signature_b64":"qGoUMg0xF/ImLe6ALtrgKOBsLX9cSrjV2vt1tBxR0KcJuYJ/MoKvHHVtDDcGcpktvRxzANAM+EAmIj9idqwEAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"65263eaa990745bae8439359c35b56ec287d4d7a6df93a491dde523324c24059","last_reissued_at":"2026-05-18T01:23:52.699340Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:23:52.699340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Orbital stability of periodic traveling-wave solutions for the regularized Schamel equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Ademir Pastor, Thiago Pinguello de Andrade","submitted_at":"2015-12-22T18:02:42Z","abstract_excerpt":"In this work we study the orbital stability of periodic traveling-wave solutions for dispersive models. The study of traveling waves started in the mid-18th century when John S. Russel established that the flow of water waves in a shallow channel has constant evolution. In recent years, the general strategy to obtain orbital stability consists in proving that the traveling wave in question minimizes a conserved functional restricted to a certain manifold. Although our method can be applied to other models, we deal with the regularized Schamel equation, which contains a fractional nonlinear ter"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.07181","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":"1512.07181","created_at":"2026-05-18T01:23:52.699458+00:00"},{"alias_kind":"arxiv_version","alias_value":"1512.07181v1","created_at":"2026-05-18T01:23:52.699458+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.07181","created_at":"2026-05-18T01:23:52.699458+00:00"},{"alias_kind":"pith_short_12","alias_value":"MUTD5KUZA5C3","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_16","alias_value":"MUTD5KUZA5C3V2CD","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_8","alias_value":"MUTD5KUZ","created_at":"2026-05-18T12:29:32.376354+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/MUTD5KUZA5C3V2CDSNM4GW2W5Q","json":"https://pith.science/pith/MUTD5KUZA5C3V2CDSNM4GW2W5Q.json","graph_json":"https://pith.science/api/pith-number/MUTD5KUZA5C3V2CDSNM4GW2W5Q/graph.json","events_json":"https://pith.science/api/pith-number/MUTD5KUZA5C3V2CDSNM4GW2W5Q/events.json","paper":"https://pith.science/paper/MUTD5KUZ"},"agent_actions":{"view_html":"https://pith.science/pith/MUTD5KUZA5C3V2CDSNM4GW2W5Q","download_json":"https://pith.science/pith/MUTD5KUZA5C3V2CDSNM4GW2W5Q.json","view_paper":"https://pith.science/paper/MUTD5KUZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1512.07181&json=true","fetch_graph":"https://pith.science/api/pith-number/MUTD5KUZA5C3V2CDSNM4GW2W5Q/graph.json","fetch_events":"https://pith.science/api/pith-number/MUTD5KUZA5C3V2CDSNM4GW2W5Q/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MUTD5KUZA5C3V2CDSNM4GW2W5Q/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MUTD5KUZA5C3V2CDSNM4GW2W5Q/action/storage_attestation","attest_author":"https://pith.science/pith/MUTD5KUZA5C3V2CDSNM4GW2W5Q/action/author_attestation","sign_citation":"https://pith.science/pith/MUTD5KUZA5C3V2CDSNM4GW2W5Q/action/citation_signature","submit_replication":"https://pith.science/pith/MUTD5KUZA5C3V2CDSNM4GW2W5Q/action/replication_record"}},"created_at":"2026-05-18T01:23:52.699458+00:00","updated_at":"2026-05-18T01:23:52.699458+00:00"}