{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:IDDJWN4OVJ5HZF7DZG7U2OCXUU","short_pith_number":"pith:IDDJWN4O","schema_version":"1.0","canonical_sha256":"40c69b378eaa7a7c97e3c9bf4d3857a5161159a7b855125f89514a31837e896e","source":{"kind":"arxiv","id":"1310.0477","version":1},"attestation_state":"computed","paper":{"title":"MAMA: An Algebraic Map for the Secular Dynamics of Planetesimals in Tight Binary Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"A. M. Leiva, C. Beaug\\'e, J. A. Correa-Otto","submitted_at":"2013-10-01T20:13:00Z","abstract_excerpt":"We present an algebraic map (MAMA) for the dynamical and collisional evolution of a planetesimal swarm orbiting the main star of a tight binary system (TBS). The orbital evolution of each planetesimal is dictated by the secular perturbations of the secondary star and gas drag due to interactions with a protoplanetary disk. The gas disk is assumed eccentric with a constant precession rate. Gravitational interactions between the planetesimals are ignored. All bodies are assumed coplanar. A comparison with full N-body simulations shows that the map is of the order of 100 times faster, while prese"},"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":"1310.0477","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2013-10-01T20:13:00Z","cross_cats_sorted":[],"title_canon_sha256":"6ef6651da5d68ed67bdbfbbfa1c1849f2bd9cf55f91ad7b7969cd168f1fcc197","abstract_canon_sha256":"88a7c0128f88c6ce605654dafc5c9d9789ce1e5b80890b9602051b4dec4da3a4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:47:16.835818Z","signature_b64":"tgztXUUnF2NC4KcuNuLll7O3F1sDGMBElK6SZkcE3fBYqd7PNTntvLnB4GrZ/Bdp83EaW/P577Fo+khCPfUpBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"40c69b378eaa7a7c97e3c9bf4d3857a5161159a7b855125f89514a31837e896e","last_reissued_at":"2026-05-18T01:47:16.835044Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:47:16.835044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"MAMA: An Algebraic Map for the Secular Dynamics of Planetesimals in Tight Binary Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"A. M. Leiva, C. Beaug\\'e, J. A. Correa-Otto","submitted_at":"2013-10-01T20:13:00Z","abstract_excerpt":"We present an algebraic map (MAMA) for the dynamical and collisional evolution of a planetesimal swarm orbiting the main star of a tight binary system (TBS). The orbital evolution of each planetesimal is dictated by the secular perturbations of the secondary star and gas drag due to interactions with a protoplanetary disk. The gas disk is assumed eccentric with a constant precession rate. Gravitational interactions between the planetesimals are ignored. All bodies are assumed coplanar. A comparison with full N-body simulations shows that the map is of the order of 100 times faster, while prese"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.0477","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":"1310.0477","created_at":"2026-05-18T01:47:16.835169+00:00"},{"alias_kind":"arxiv_version","alias_value":"1310.0477v1","created_at":"2026-05-18T01:47:16.835169+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.0477","created_at":"2026-05-18T01:47:16.835169+00:00"},{"alias_kind":"pith_short_12","alias_value":"IDDJWN4OVJ5H","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"IDDJWN4OVJ5HZF7D","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"IDDJWN4O","created_at":"2026-05-18T12:27:46.883200+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/IDDJWN4OVJ5HZF7DZG7U2OCXUU","json":"https://pith.science/pith/IDDJWN4OVJ5HZF7DZG7U2OCXUU.json","graph_json":"https://pith.science/api/pith-number/IDDJWN4OVJ5HZF7DZG7U2OCXUU/graph.json","events_json":"https://pith.science/api/pith-number/IDDJWN4OVJ5HZF7DZG7U2OCXUU/events.json","paper":"https://pith.science/paper/IDDJWN4O"},"agent_actions":{"view_html":"https://pith.science/pith/IDDJWN4OVJ5HZF7DZG7U2OCXUU","download_json":"https://pith.science/pith/IDDJWN4OVJ5HZF7DZG7U2OCXUU.json","view_paper":"https://pith.science/paper/IDDJWN4O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1310.0477&json=true","fetch_graph":"https://pith.science/api/pith-number/IDDJWN4OVJ5HZF7DZG7U2OCXUU/graph.json","fetch_events":"https://pith.science/api/pith-number/IDDJWN4OVJ5HZF7DZG7U2OCXUU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IDDJWN4OVJ5HZF7DZG7U2OCXUU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IDDJWN4OVJ5HZF7DZG7U2OCXUU/action/storage_attestation","attest_author":"https://pith.science/pith/IDDJWN4OVJ5HZF7DZG7U2OCXUU/action/author_attestation","sign_citation":"https://pith.science/pith/IDDJWN4OVJ5HZF7DZG7U2OCXUU/action/citation_signature","submit_replication":"https://pith.science/pith/IDDJWN4OVJ5HZF7DZG7U2OCXUU/action/replication_record"}},"created_at":"2026-05-18T01:47:16.835169+00:00","updated_at":"2026-05-18T01:47:16.835169+00:00"}