{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:ECS2WOVJILWZYODOABKHM5M4XY","short_pith_number":"pith:ECS2WOVJ","schema_version":"1.0","canonical_sha256":"20a5ab3aa942ed9c386e005476759cbe1f992cff3b43a2d2f10d9e1ad3e64872","source":{"kind":"arxiv","id":"1904.10733","version":1},"attestation_state":"computed","paper":{"title":"On the fractal basins of convergence of the libration points in the axisymmetric five-body problem: the convex configuration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Amit Mittal, Euaggelos E. Zotos, Md Sanam Suraj, Prachi Sachan, Rajiv Aggarwal","submitted_at":"2019-04-24T10:43:06Z","abstract_excerpt":"In the present work, the Newton-Raphson basins of convergence, corresponding to the coplanar libration points (which act as numerical attractors), are unveiled in the axisymmetric five-body problem, where convex configuration is considered. In particular, the four primaries are set in axisymmetric central configuration, where the motion is governed only by mutual gravitational attractions. It is observed that the total number libration points are either eleven, thirteen or fifteen for different combination of the angle parameters. Moreover, the stability analysis revealed that the all the libr"},"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":"1904.10733","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2019-04-24T10:43:06Z","cross_cats_sorted":[],"title_canon_sha256":"7053142ceca4ca90c8e723c4febe05e66c99b5997da388bd6c6148e75fc0690f","abstract_canon_sha256":"59b7f53f513c3bd7d2dcaa2f42d300eb8a1e5005ab9e62d7f8266c9a0ea20840"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:50.149222Z","signature_b64":"bCu417iG1BMX8RwT7UQVRZyLg+upMuqi245YKL4MhhOZNFYjLejMgYHglYvo+GnP4qdhhSUBdovCoY2ab8OgCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"20a5ab3aa942ed9c386e005476759cbe1f992cff3b43a2d2f10d9e1ad3e64872","last_reissued_at":"2026-05-17T23:47:50.148589Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:50.148589Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the fractal basins of convergence of the libration points in the axisymmetric five-body problem: the convex configuration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Amit Mittal, Euaggelos E. Zotos, Md Sanam Suraj, Prachi Sachan, Rajiv Aggarwal","submitted_at":"2019-04-24T10:43:06Z","abstract_excerpt":"In the present work, the Newton-Raphson basins of convergence, corresponding to the coplanar libration points (which act as numerical attractors), are unveiled in the axisymmetric five-body problem, where convex configuration is considered. In particular, the four primaries are set in axisymmetric central configuration, where the motion is governed only by mutual gravitational attractions. It is observed that the total number libration points are either eleven, thirteen or fifteen for different combination of the angle parameters. Moreover, the stability analysis revealed that the all the libr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.10733","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":"1904.10733","created_at":"2026-05-17T23:47:50.148692+00:00"},{"alias_kind":"arxiv_version","alias_value":"1904.10733v1","created_at":"2026-05-17T23:47:50.148692+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.10733","created_at":"2026-05-17T23:47:50.148692+00:00"},{"alias_kind":"pith_short_12","alias_value":"ECS2WOVJILWZ","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_16","alias_value":"ECS2WOVJILWZYODO","created_at":"2026-05-18T12:33:15.570797+00:00"},{"alias_kind":"pith_short_8","alias_value":"ECS2WOVJ","created_at":"2026-05-18T12:33:15.570797+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/ECS2WOVJILWZYODOABKHM5M4XY","json":"https://pith.science/pith/ECS2WOVJILWZYODOABKHM5M4XY.json","graph_json":"https://pith.science/api/pith-number/ECS2WOVJILWZYODOABKHM5M4XY/graph.json","events_json":"https://pith.science/api/pith-number/ECS2WOVJILWZYODOABKHM5M4XY/events.json","paper":"https://pith.science/paper/ECS2WOVJ"},"agent_actions":{"view_html":"https://pith.science/pith/ECS2WOVJILWZYODOABKHM5M4XY","download_json":"https://pith.science/pith/ECS2WOVJILWZYODOABKHM5M4XY.json","view_paper":"https://pith.science/paper/ECS2WOVJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1904.10733&json=true","fetch_graph":"https://pith.science/api/pith-number/ECS2WOVJILWZYODOABKHM5M4XY/graph.json","fetch_events":"https://pith.science/api/pith-number/ECS2WOVJILWZYODOABKHM5M4XY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ECS2WOVJILWZYODOABKHM5M4XY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ECS2WOVJILWZYODOABKHM5M4XY/action/storage_attestation","attest_author":"https://pith.science/pith/ECS2WOVJILWZYODOABKHM5M4XY/action/author_attestation","sign_citation":"https://pith.science/pith/ECS2WOVJILWZYODOABKHM5M4XY/action/citation_signature","submit_replication":"https://pith.science/pith/ECS2WOVJILWZYODOABKHM5M4XY/action/replication_record"}},"created_at":"2026-05-17T23:47:50.148692+00:00","updated_at":"2026-05-17T23:47:50.148692+00:00"}