{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:ZOCMGCRF7KKQ7RXZM2WAT44SCJ","short_pith_number":"pith:ZOCMGCRF","schema_version":"1.0","canonical_sha256":"cb84c30a25fa950fc6f966ac09f3921246b14f930c461b93aad4f5119163d531","source":{"kind":"arxiv","id":"1503.03084","version":1},"attestation_state":"computed","paper":{"title":"Remarks on the orbital stability of ground state solutions of fKdV and related equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Didier Pilod, Felipe Linares, Jean-Claude Saut","submitted_at":"2015-03-10T20:12:54Z","abstract_excerpt":"The aim of this paper is to provide a proof of the (conditional) orbital stability of solitary waves solutions to the fractional Korteweg- de Vries equation (fKdV) and to the fractional Benjamin-Bona-Mahony (fBBM) equation in the $L^2$ subcritical case. We also discuss instability and its possible scenarios."},"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":"1503.03084","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-03-10T20:12:54Z","cross_cats_sorted":[],"title_canon_sha256":"81343abb4a541fbce96f3b1e960abead0fa0fda30b6d9a151dfd683548e838b9","abstract_canon_sha256":"73568fb1806c5a2992eb16523f280b6e0494ebf2177e38572849808db92000fd"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:25:04.290119Z","signature_b64":"a+MSJZDud+ff5GgisJX0f7eK3v2K6Ef/pdRnTUoMKmp09Q4t6MFiIjxXs43SFNnCjJz7Ev5U9cQVnUFzw7WTAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cb84c30a25fa950fc6f966ac09f3921246b14f930c461b93aad4f5119163d531","last_reissued_at":"2026-05-18T02:25:04.289725Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:25:04.289725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Remarks on the orbital stability of ground state solutions of fKdV and related equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Didier Pilod, Felipe Linares, Jean-Claude Saut","submitted_at":"2015-03-10T20:12:54Z","abstract_excerpt":"The aim of this paper is to provide a proof of the (conditional) orbital stability of solitary waves solutions to the fractional Korteweg- de Vries equation (fKdV) and to the fractional Benjamin-Bona-Mahony (fBBM) equation in the $L^2$ subcritical case. We also discuss instability and its possible scenarios."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.03084","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":"1503.03084","created_at":"2026-05-18T02:25:04.289795+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.03084v1","created_at":"2026-05-18T02:25:04.289795+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.03084","created_at":"2026-05-18T02:25:04.289795+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZOCMGCRF7KKQ","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZOCMGCRF7KKQ7RXZ","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZOCMGCRF","created_at":"2026-05-18T12:29:52.810259+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/ZOCMGCRF7KKQ7RXZM2WAT44SCJ","json":"https://pith.science/pith/ZOCMGCRF7KKQ7RXZM2WAT44SCJ.json","graph_json":"https://pith.science/api/pith-number/ZOCMGCRF7KKQ7RXZM2WAT44SCJ/graph.json","events_json":"https://pith.science/api/pith-number/ZOCMGCRF7KKQ7RXZM2WAT44SCJ/events.json","paper":"https://pith.science/paper/ZOCMGCRF"},"agent_actions":{"view_html":"https://pith.science/pith/ZOCMGCRF7KKQ7RXZM2WAT44SCJ","download_json":"https://pith.science/pith/ZOCMGCRF7KKQ7RXZM2WAT44SCJ.json","view_paper":"https://pith.science/paper/ZOCMGCRF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.03084&json=true","fetch_graph":"https://pith.science/api/pith-number/ZOCMGCRF7KKQ7RXZM2WAT44SCJ/graph.json","fetch_events":"https://pith.science/api/pith-number/ZOCMGCRF7KKQ7RXZM2WAT44SCJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZOCMGCRF7KKQ7RXZM2WAT44SCJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZOCMGCRF7KKQ7RXZM2WAT44SCJ/action/storage_attestation","attest_author":"https://pith.science/pith/ZOCMGCRF7KKQ7RXZM2WAT44SCJ/action/author_attestation","sign_citation":"https://pith.science/pith/ZOCMGCRF7KKQ7RXZM2WAT44SCJ/action/citation_signature","submit_replication":"https://pith.science/pith/ZOCMGCRF7KKQ7RXZM2WAT44SCJ/action/replication_record"}},"created_at":"2026-05-18T02:25:04.289795+00:00","updated_at":"2026-05-18T02:25:04.289795+00:00"}