{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:2M2FBAYPOUTWHVJ5QRZUOELWZD","short_pith_number":"pith:2M2FBAYP","schema_version":"1.0","canonical_sha256":"d33450830f752763d53d8473471176c8f27f9701b35fdbb9ee428764f221a902","source":{"kind":"arxiv","id":"1511.08110","version":1},"attestation_state":"computed","paper":{"title":"Robust approximation algorithms for the detection of attraction basins in dynamical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Alessandra De Rossi, Emma Perracchione, Ezio Venturino, Roberto Cavoretto","submitted_at":"2015-11-25T16:40:03Z","abstract_excerpt":"In dynamical systems saddle points partition the domain into basins of attractions of the remaining locally stable equilibria. This problem is rather common especially in population dynamics models. Precisely, a particular solution of a dynamical system is completely determined by its initial condition and by the parameters involved in the model. Furthermore, when the omega limit set reduces to a point, the trajectory of the solution evolves towards the steady state. But, in case of multi-stability it is possible that several steady states originate from the same parameter set. Thus, in these "},"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":"1511.08110","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2015-11-25T16:40:03Z","cross_cats_sorted":[],"title_canon_sha256":"6485710cafa4fcae59d626f884ff2943fb4aeb43e4d43830fbb4d78ab25b9016","abstract_canon_sha256":"c495712b815f6248e070a1bba6170f77f1baffca00cce35bee70ce78add38446"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:26:01.698163Z","signature_b64":"IBvtLAfQv9nbxG9IH/cUMIH0HXTtsjOctOilcqpwT9ne++kYrLOB+BuMhFaerhy0S41OjIg5Nk4GETkjXngdDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d33450830f752763d53d8473471176c8f27f9701b35fdbb9ee428764f221a902","last_reissued_at":"2026-05-18T01:26:01.697581Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:26:01.697581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Robust approximation algorithms for the detection of attraction basins in dynamical systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Alessandra De Rossi, Emma Perracchione, Ezio Venturino, Roberto Cavoretto","submitted_at":"2015-11-25T16:40:03Z","abstract_excerpt":"In dynamical systems saddle points partition the domain into basins of attractions of the remaining locally stable equilibria. This problem is rather common especially in population dynamics models. Precisely, a particular solution of a dynamical system is completely determined by its initial condition and by the parameters involved in the model. Furthermore, when the omega limit set reduces to a point, the trajectory of the solution evolves towards the steady state. But, in case of multi-stability it is possible that several steady states originate from the same parameter set. Thus, in these "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.08110","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":"1511.08110","created_at":"2026-05-18T01:26:01.697661+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.08110v1","created_at":"2026-05-18T01:26:01.697661+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.08110","created_at":"2026-05-18T01:26:01.697661+00:00"},{"alias_kind":"pith_short_12","alias_value":"2M2FBAYPOUTW","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"2M2FBAYPOUTWHVJ5","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"2M2FBAYP","created_at":"2026-05-18T12:29:02.477457+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/2M2FBAYPOUTWHVJ5QRZUOELWZD","json":"https://pith.science/pith/2M2FBAYPOUTWHVJ5QRZUOELWZD.json","graph_json":"https://pith.science/api/pith-number/2M2FBAYPOUTWHVJ5QRZUOELWZD/graph.json","events_json":"https://pith.science/api/pith-number/2M2FBAYPOUTWHVJ5QRZUOELWZD/events.json","paper":"https://pith.science/paper/2M2FBAYP"},"agent_actions":{"view_html":"https://pith.science/pith/2M2FBAYPOUTWHVJ5QRZUOELWZD","download_json":"https://pith.science/pith/2M2FBAYPOUTWHVJ5QRZUOELWZD.json","view_paper":"https://pith.science/paper/2M2FBAYP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.08110&json=true","fetch_graph":"https://pith.science/api/pith-number/2M2FBAYPOUTWHVJ5QRZUOELWZD/graph.json","fetch_events":"https://pith.science/api/pith-number/2M2FBAYPOUTWHVJ5QRZUOELWZD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2M2FBAYPOUTWHVJ5QRZUOELWZD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2M2FBAYPOUTWHVJ5QRZUOELWZD/action/storage_attestation","attest_author":"https://pith.science/pith/2M2FBAYPOUTWHVJ5QRZUOELWZD/action/author_attestation","sign_citation":"https://pith.science/pith/2M2FBAYPOUTWHVJ5QRZUOELWZD/action/citation_signature","submit_replication":"https://pith.science/pith/2M2FBAYPOUTWHVJ5QRZUOELWZD/action/replication_record"}},"created_at":"2026-05-18T01:26:01.697661+00:00","updated_at":"2026-05-18T01:26:01.697661+00:00"}