{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:TJJTG6RMUDKN6OGEJ644ZNTIMP","short_pith_number":"pith:TJJTG6RM","schema_version":"1.0","canonical_sha256":"9a53337a2ca0d4df38c44fb9ccb66863c2ef0fa3527b0fbc3171188137e6a68b","source":{"kind":"arxiv","id":"1601.06160","version":2},"attestation_state":"computed","paper":{"title":"Symmetry-breaking for a restricted n-body problem in the Maxwell-ring configuration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Carlos Garc\\'ia-Azpeitia, Eusebius Doedel, Renato Calleja","submitted_at":"2016-01-22T18:28:00Z","abstract_excerpt":"We investigate the motion of a massless body interacting with the Maxwell relative equilibrium, which consists of n bodies of equal mass at the vertices of a regular polygon that rotates around a central mass. The massless body has three equilibrium Zn-orbits from which families of Lyapunov orbits emerge. Numerical continuation of these families using a boundary value formulation is used to construct the bifurcation diagram for the case n=7, also including some secondary and tertiary bifurcating families. We observe symmetry-breaking bifurcations in this system, as well as certain period-doubl"},"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":"1601.06160","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2016-01-22T18:28:00Z","cross_cats_sorted":[],"title_canon_sha256":"9175754a5f3eb510eb036e6e63c0f55ae6f4a1851f37ed06cca98cec00d2d46e","abstract_canon_sha256":"9c1480f957bb7f050c0c829b3d252101b47106c19c2baef5df5581b0a0480e47"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:21.507884Z","signature_b64":"UE3tr32cRyQJ5Wt+cML2J/GnmA3ssiB0WjSjfxmSME8vdaE7s7R6S9IPWq85quqYLskABRKGNmUvJnIsdxTZBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a53337a2ca0d4df38c44fb9ccb66863c2ef0fa3527b0fbc3171188137e6a68b","last_reissued_at":"2026-05-18T00:26:21.507377Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:21.507377Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symmetry-breaking for a restricted n-body problem in the Maxwell-ring configuration","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Carlos Garc\\'ia-Azpeitia, Eusebius Doedel, Renato Calleja","submitted_at":"2016-01-22T18:28:00Z","abstract_excerpt":"We investigate the motion of a massless body interacting with the Maxwell relative equilibrium, which consists of n bodies of equal mass at the vertices of a regular polygon that rotates around a central mass. The massless body has three equilibrium Zn-orbits from which families of Lyapunov orbits emerge. Numerical continuation of these families using a boundary value formulation is used to construct the bifurcation diagram for the case n=7, also including some secondary and tertiary bifurcating families. We observe symmetry-breaking bifurcations in this system, as well as certain period-doubl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06160","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":"1601.06160","created_at":"2026-05-18T00:26:21.507464+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.06160v2","created_at":"2026-05-18T00:26:21.507464+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.06160","created_at":"2026-05-18T00:26:21.507464+00:00"},{"alias_kind":"pith_short_12","alias_value":"TJJTG6RMUDKN","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_16","alias_value":"TJJTG6RMUDKN6OGE","created_at":"2026-05-18T12:30:44.179134+00:00"},{"alias_kind":"pith_short_8","alias_value":"TJJTG6RM","created_at":"2026-05-18T12:30:44.179134+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/TJJTG6RMUDKN6OGEJ644ZNTIMP","json":"https://pith.science/pith/TJJTG6RMUDKN6OGEJ644ZNTIMP.json","graph_json":"https://pith.science/api/pith-number/TJJTG6RMUDKN6OGEJ644ZNTIMP/graph.json","events_json":"https://pith.science/api/pith-number/TJJTG6RMUDKN6OGEJ644ZNTIMP/events.json","paper":"https://pith.science/paper/TJJTG6RM"},"agent_actions":{"view_html":"https://pith.science/pith/TJJTG6RMUDKN6OGEJ644ZNTIMP","download_json":"https://pith.science/pith/TJJTG6RMUDKN6OGEJ644ZNTIMP.json","view_paper":"https://pith.science/paper/TJJTG6RM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.06160&json=true","fetch_graph":"https://pith.science/api/pith-number/TJJTG6RMUDKN6OGEJ644ZNTIMP/graph.json","fetch_events":"https://pith.science/api/pith-number/TJJTG6RMUDKN6OGEJ644ZNTIMP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TJJTG6RMUDKN6OGEJ644ZNTIMP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TJJTG6RMUDKN6OGEJ644ZNTIMP/action/storage_attestation","attest_author":"https://pith.science/pith/TJJTG6RMUDKN6OGEJ644ZNTIMP/action/author_attestation","sign_citation":"https://pith.science/pith/TJJTG6RMUDKN6OGEJ644ZNTIMP/action/citation_signature","submit_replication":"https://pith.science/pith/TJJTG6RMUDKN6OGEJ644ZNTIMP/action/replication_record"}},"created_at":"2026-05-18T00:26:21.507464+00:00","updated_at":"2026-05-18T00:26:21.507464+00:00"}