{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:WBKTS4J5Y5EKMAGIV7Z72D3NWU","short_pith_number":"pith:WBKTS4J5","schema_version":"1.0","canonical_sha256":"b05539713dc748a600c8aff3fd0f6db50c769e1e71739e10c818aacc3e22bfd5","source":{"kind":"arxiv","id":"1012.4609","version":3},"attestation_state":"computed","paper":{"title":"On the bifurcation and continuation of periodic orbits in the three-body problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"astro-ph.EP","authors_text":"G. Voyatzis, K. I. Antoniadou, T. Kotoulas","submitted_at":"2010-12-21T11:13:52Z","abstract_excerpt":"We consider the planar three body problem of planetary type and we study the generation and continuation of periodic orbits and mainly of asymmetric periodic orbits. Asymmetric orbits exist in the restricted circular three body problem only in particular resonances called \"asymmetric resonances\". However, numerical studies showed that in the general three body problem asymmetric orbits may exist not only for asymmetric resonances, but for other kinds, too. In this work, we show the existence of asymmetric periodic orbits in the elliptic restricted problem. These orbits are continued and clarif"},"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":"1012.4609","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2010-12-21T11:13:52Z","cross_cats_sorted":["nlin.CD"],"title_canon_sha256":"1f218894a16457dbb4abe60e207b848b34aa7504e18c47babb5a8a5f6c0b0f2c","abstract_canon_sha256":"50fd85b9a3619d84f5b274d8117b00e670f1bc4a57666fb3a4bd8feb6c6ff360"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:09:45.824686Z","signature_b64":"lT8aRKRVQjCxOObEh9WwsXVZSs2FTmC+dCGm048I63CF6cHY3cAOQzOFDK3rzIMhssDi3irp2QjKDwWyRLxwCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b05539713dc748a600c8aff3fd0f6db50c769e1e71739e10c818aacc3e22bfd5","last_reissued_at":"2026-05-18T04:09:45.824310Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:09:45.824310Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the bifurcation and continuation of periodic orbits in the three-body problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nlin.CD"],"primary_cat":"astro-ph.EP","authors_text":"G. Voyatzis, K. I. Antoniadou, T. Kotoulas","submitted_at":"2010-12-21T11:13:52Z","abstract_excerpt":"We consider the planar three body problem of planetary type and we study the generation and continuation of periodic orbits and mainly of asymmetric periodic orbits. Asymmetric orbits exist in the restricted circular three body problem only in particular resonances called \"asymmetric resonances\". However, numerical studies showed that in the general three body problem asymmetric orbits may exist not only for asymmetric resonances, but for other kinds, too. In this work, we show the existence of asymmetric periodic orbits in the elliptic restricted problem. These orbits are continued and clarif"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.4609","kind":"arxiv","version":3},"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":"1012.4609","created_at":"2026-05-18T04:09:45.824373+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.4609v3","created_at":"2026-05-18T04:09:45.824373+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.4609","created_at":"2026-05-18T04:09:45.824373+00:00"},{"alias_kind":"pith_short_12","alias_value":"WBKTS4J5Y5EK","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_16","alias_value":"WBKTS4J5Y5EKMAGI","created_at":"2026-05-18T12:26:15.391820+00:00"},{"alias_kind":"pith_short_8","alias_value":"WBKTS4J5","created_at":"2026-05-18T12:26:15.391820+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/WBKTS4J5Y5EKMAGIV7Z72D3NWU","json":"https://pith.science/pith/WBKTS4J5Y5EKMAGIV7Z72D3NWU.json","graph_json":"https://pith.science/api/pith-number/WBKTS4J5Y5EKMAGIV7Z72D3NWU/graph.json","events_json":"https://pith.science/api/pith-number/WBKTS4J5Y5EKMAGIV7Z72D3NWU/events.json","paper":"https://pith.science/paper/WBKTS4J5"},"agent_actions":{"view_html":"https://pith.science/pith/WBKTS4J5Y5EKMAGIV7Z72D3NWU","download_json":"https://pith.science/pith/WBKTS4J5Y5EKMAGIV7Z72D3NWU.json","view_paper":"https://pith.science/paper/WBKTS4J5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.4609&json=true","fetch_graph":"https://pith.science/api/pith-number/WBKTS4J5Y5EKMAGIV7Z72D3NWU/graph.json","fetch_events":"https://pith.science/api/pith-number/WBKTS4J5Y5EKMAGIV7Z72D3NWU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WBKTS4J5Y5EKMAGIV7Z72D3NWU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WBKTS4J5Y5EKMAGIV7Z72D3NWU/action/storage_attestation","attest_author":"https://pith.science/pith/WBKTS4J5Y5EKMAGIV7Z72D3NWU/action/author_attestation","sign_citation":"https://pith.science/pith/WBKTS4J5Y5EKMAGIV7Z72D3NWU/action/citation_signature","submit_replication":"https://pith.science/pith/WBKTS4J5Y5EKMAGIV7Z72D3NWU/action/replication_record"}},"created_at":"2026-05-18T04:09:45.824373+00:00","updated_at":"2026-05-18T04:09:45.824373+00:00"}