{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:NOK7ZWLOWJWYJLDNE7F4C5UORS","short_pith_number":"pith:NOK7ZWLO","schema_version":"1.0","canonical_sha256":"6b95fcd96eb26d84ac6d27cbc1768e8c996c6c3ca50c3b955cc3d24b60712213","source":{"kind":"arxiv","id":"1401.3715","version":2},"attestation_state":"computed","paper":{"title":"The Redner - Ben-Avraham - Kahng coagulation system with constant coefficients: the finite dimensional case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"F.P. da Costa, J.T. Pinto, R. Sasportes","submitted_at":"2014-01-15T19:33:52Z","abstract_excerpt":"We study the behaviour as $t\\to\\infty$ of solutions $(c_j(t))$ to the Redner--Ben-Avraham--Kahng coagulation system with positive and compactly supported initial data, rigorously proving and slightly extending results originally established in [4] by means of formal arguments."},"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":"1401.3715","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-01-15T19:33:52Z","cross_cats_sorted":[],"title_canon_sha256":"57d9e72dd9db9f7c30f213212a34188fef5667172fb0c6e533e5ee085d33d39d","abstract_canon_sha256":"96b80a66fc4cb7f910f146ff67d5e39aff8aeecde9579a4bec53f4acf0c377e6"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:45:25.197574Z","signature_b64":"bSgsZ1+asNL3YHOBL7fR6hjOH0zvXUb6Wqbq+0ch2FFKNE/lKNAuLvy8q5X0cS0lNhP36GZtm8eVCsjcHCHCBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b95fcd96eb26d84ac6d27cbc1768e8c996c6c3ca50c3b955cc3d24b60712213","last_reissued_at":"2026-05-18T01:45:25.197114Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:45:25.197114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Redner - Ben-Avraham - Kahng coagulation system with constant coefficients: the finite dimensional case","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"F.P. da Costa, J.T. Pinto, R. Sasportes","submitted_at":"2014-01-15T19:33:52Z","abstract_excerpt":"We study the behaviour as $t\\to\\infty$ of solutions $(c_j(t))$ to the Redner--Ben-Avraham--Kahng coagulation system with positive and compactly supported initial data, rigorously proving and slightly extending results originally established in [4] by means of formal arguments."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.3715","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":"1401.3715","created_at":"2026-05-18T01:45:25.197186+00:00"},{"alias_kind":"arxiv_version","alias_value":"1401.3715v2","created_at":"2026-05-18T01:45:25.197186+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.3715","created_at":"2026-05-18T01:45:25.197186+00:00"},{"alias_kind":"pith_short_12","alias_value":"NOK7ZWLOWJWY","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_16","alias_value":"NOK7ZWLOWJWYJLDN","created_at":"2026-05-18T12:28:41.024544+00:00"},{"alias_kind":"pith_short_8","alias_value":"NOK7ZWLO","created_at":"2026-05-18T12:28:41.024544+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/NOK7ZWLOWJWYJLDNE7F4C5UORS","json":"https://pith.science/pith/NOK7ZWLOWJWYJLDNE7F4C5UORS.json","graph_json":"https://pith.science/api/pith-number/NOK7ZWLOWJWYJLDNE7F4C5UORS/graph.json","events_json":"https://pith.science/api/pith-number/NOK7ZWLOWJWYJLDNE7F4C5UORS/events.json","paper":"https://pith.science/paper/NOK7ZWLO"},"agent_actions":{"view_html":"https://pith.science/pith/NOK7ZWLOWJWYJLDNE7F4C5UORS","download_json":"https://pith.science/pith/NOK7ZWLOWJWYJLDNE7F4C5UORS.json","view_paper":"https://pith.science/paper/NOK7ZWLO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1401.3715&json=true","fetch_graph":"https://pith.science/api/pith-number/NOK7ZWLOWJWYJLDNE7F4C5UORS/graph.json","fetch_events":"https://pith.science/api/pith-number/NOK7ZWLOWJWYJLDNE7F4C5UORS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NOK7ZWLOWJWYJLDNE7F4C5UORS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NOK7ZWLOWJWYJLDNE7F4C5UORS/action/storage_attestation","attest_author":"https://pith.science/pith/NOK7ZWLOWJWYJLDNE7F4C5UORS/action/author_attestation","sign_citation":"https://pith.science/pith/NOK7ZWLOWJWYJLDNE7F4C5UORS/action/citation_signature","submit_replication":"https://pith.science/pith/NOK7ZWLOWJWYJLDNE7F4C5UORS/action/replication_record"}},"created_at":"2026-05-18T01:45:25.197186+00:00","updated_at":"2026-05-18T01:45:25.197186+00:00"}