{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:OP3JU4TIVRWBOSWQQY3H5ZXLB4","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"9f7d4c5e515e1349e20596c31b933d78a17c859362933eec8be510e8d5131bd3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2017-04-07T16:04:00Z","title_canon_sha256":"482d5a6bbf457f5ec37a47b4ea4987ef05ec688536f9b68f86a056d048956416"},"schema_version":"1.0","source":{"id":"1704.02273","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.02273","created_at":"2026-05-18T00:34:15Z"},{"alias_kind":"arxiv_version","alias_value":"1704.02273v2","created_at":"2026-05-18T00:34:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.02273","created_at":"2026-05-18T00:34:15Z"},{"alias_kind":"pith_short_12","alias_value":"OP3JU4TIVRWB","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"OP3JU4TIVRWBOSWQ","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"OP3JU4TI","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:c36d80b4e443884413a9341ce43cb3abb3c5f44ea35de1a86371bf2491c9d5f3","target":"graph","created_at":"2026-05-18T00:34:15Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The Copenhagen problem where the primaries of equal masses are magnetic dipoles is used in order to determine the Newton-Raphson basins of attraction associated with the equilibrium points. The parametric variation of the position as well as of the stability of the Lagrange points are monitored when the value of the ratio $\\lambda$ of the magnetic moments varies in predefined intervals. The regions on the configuration $(x,y)$ plane occupied by the basins of convergence are revealed using the multivariate version of the Newton-Raphson iterative scheme. The correlations between the basins of at","authors_text":"Euaggelos E. Zotos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2017-04-07T16:04:00Z","title":"Determining the Newton-Raphson basins of attraction in the electromagnetic Copenhagen problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.02273","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:46d6b8e3b4ca90ada3b0c508dc6354567b353afec49c032cdaa15708e57087ea","target":"record","created_at":"2026-05-18T00:34:15Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"9f7d4c5e515e1349e20596c31b933d78a17c859362933eec8be510e8d5131bd3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2017-04-07T16:04:00Z","title_canon_sha256":"482d5a6bbf457f5ec37a47b4ea4987ef05ec688536f9b68f86a056d048956416"},"schema_version":"1.0","source":{"id":"1704.02273","kind":"arxiv","version":2}},"canonical_sha256":"73f69a7268ac6c174ad086367ee6eb0f193adbf7ad3e545d63a204e95f3eb8d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"73f69a7268ac6c174ad086367ee6eb0f193adbf7ad3e545d63a204e95f3eb8d5","first_computed_at":"2026-05-18T00:34:15.298254Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:15.298254Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gMeVSbz3Q3PkhEvr4OnYrjl5MIDNebTeHRZcEB+0eH6zDDFAmahV5SwbmepieqPJX9gZ8H0BESWvpggxI1KvAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:15.298816Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.02273","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46d6b8e3b4ca90ada3b0c508dc6354567b353afec49c032cdaa15708e57087ea","sha256:c36d80b4e443884413a9341ce43cb3abb3c5f44ea35de1a86371bf2491c9d5f3"],"state_sha256":"c44ecf00696875d15541d0d7e65c8ba2dd4d38432dce161b0ec22979318fa7e9"}