{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:ILUKJDMUU7G7PVYLGSOMFM47QI","short_pith_number":"pith:ILUKJDMU","schema_version":"1.0","canonical_sha256":"42e8a48d94a7cdf7d70b349cc2b39f822cbc0838260b122be55540afa7aeae2e","source":{"kind":"arxiv","id":"1803.07914","version":1},"attestation_state":"computed","paper":{"title":"Well-posedness and stabilization of the Benjamin-Bona-Mahony equation on star-shaped networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Emmanuelle Cr\\'epeau, Ka\\\"is Ammari","submitted_at":"2018-03-21T13:40:44Z","abstract_excerpt":"We study the stabilization issue of the Benjamin-Bona-Mahony (BBM) equation on a finite star-shaped network with a damping term acting on the central node. In a first time, we prove the well-posedness of this system. Then thanks to the frequency domain method, we get the asymptotic stabilization result."},"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":"1803.07914","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-03-21T13:40:44Z","cross_cats_sorted":[],"title_canon_sha256":"bdceef9af073ba1eed15655ea4f0d05634888bf6b9391748550ae114db2bbe28","abstract_canon_sha256":"e0108666b754451b3f0d64baff51f6ebabcec9f8bcde766be0291fec3f294b16"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:28.542226Z","signature_b64":"zBDvJdl/FqEbnUL0NFR/FBLbfbW81FU+QW4wHI1W8cdWYqaexLKWxj49eAYzOFeAL3oAM1gG7tQ6yS5fYnGmCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42e8a48d94a7cdf7d70b349cc2b39f822cbc0838260b122be55540afa7aeae2e","last_reissued_at":"2026-05-18T00:20:28.541588Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:28.541588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Well-posedness and stabilization of the Benjamin-Bona-Mahony equation on star-shaped networks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Emmanuelle Cr\\'epeau, Ka\\\"is Ammari","submitted_at":"2018-03-21T13:40:44Z","abstract_excerpt":"We study the stabilization issue of the Benjamin-Bona-Mahony (BBM) equation on a finite star-shaped network with a damping term acting on the central node. In a first time, we prove the well-posedness of this system. Then thanks to the frequency domain method, we get the asymptotic stabilization result."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.07914","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":"1803.07914","created_at":"2026-05-18T00:20:28.541682+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.07914v1","created_at":"2026-05-18T00:20:28.541682+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.07914","created_at":"2026-05-18T00:20:28.541682+00:00"},{"alias_kind":"pith_short_12","alias_value":"ILUKJDMUU7G7","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_16","alias_value":"ILUKJDMUU7G7PVYL","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_8","alias_value":"ILUKJDMU","created_at":"2026-05-18T12:32:31.084164+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/ILUKJDMUU7G7PVYLGSOMFM47QI","json":"https://pith.science/pith/ILUKJDMUU7G7PVYLGSOMFM47QI.json","graph_json":"https://pith.science/api/pith-number/ILUKJDMUU7G7PVYLGSOMFM47QI/graph.json","events_json":"https://pith.science/api/pith-number/ILUKJDMUU7G7PVYLGSOMFM47QI/events.json","paper":"https://pith.science/paper/ILUKJDMU"},"agent_actions":{"view_html":"https://pith.science/pith/ILUKJDMUU7G7PVYLGSOMFM47QI","download_json":"https://pith.science/pith/ILUKJDMUU7G7PVYLGSOMFM47QI.json","view_paper":"https://pith.science/paper/ILUKJDMU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.07914&json=true","fetch_graph":"https://pith.science/api/pith-number/ILUKJDMUU7G7PVYLGSOMFM47QI/graph.json","fetch_events":"https://pith.science/api/pith-number/ILUKJDMUU7G7PVYLGSOMFM47QI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ILUKJDMUU7G7PVYLGSOMFM47QI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ILUKJDMUU7G7PVYLGSOMFM47QI/action/storage_attestation","attest_author":"https://pith.science/pith/ILUKJDMUU7G7PVYLGSOMFM47QI/action/author_attestation","sign_citation":"https://pith.science/pith/ILUKJDMUU7G7PVYLGSOMFM47QI/action/citation_signature","submit_replication":"https://pith.science/pith/ILUKJDMUU7G7PVYLGSOMFM47QI/action/replication_record"}},"created_at":"2026-05-18T00:20:28.541682+00:00","updated_at":"2026-05-18T00:20:28.541682+00:00"}