{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:4MUFVHLRZTQOL7AMO5J4ANBK6Y","short_pith_number":"pith:4MUFVHLR","schema_version":"1.0","canonical_sha256":"e3285a9d71cce0e5fc0c7753c0342af62b2b92250a31a1970d5fb9a30a571f47","source":{"kind":"arxiv","id":"1204.2791","version":2},"attestation_state":"computed","paper":{"title":"Dissipative Divergence of Resonant Orbits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Alessandro Morbidelli (CASSIOPEE), Konstantin Batygin (Caltech)","submitted_at":"2012-04-12T18:07:21Z","abstract_excerpt":"A considerable fraction of multi-planet systems discovered by the observational surveys of extrasolar planets reside in mild proximity to first-order mean motion resonances. However, the relative remoteness of such systems from nominal resonant period ratios (e.g. 2:1, 3:2, 4:3) has been interpreted as evidence for lack of resonant interactions. Here we show that a slow divergence away from exact commensurability is a natural outcome of dissipative evolution and demonstrate that libration of critical angles can be maintained tens of percent away from nominal resonance. We construct an analytic"},"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":"1204.2791","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2012-04-12T18:07:21Z","cross_cats_sorted":[],"title_canon_sha256":"ddf8a9b0ae91d83626b775fe97b157edf6fdd1f9ac3e071d284d32a886c9f46b","abstract_canon_sha256":"aaa6e3d18fbe339cd666257d92cee12e9478060e156cbce2a7a6b29f6797542e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:57:53.040954Z","signature_b64":"hpucnbTXiQeQYwlMVx/RDB46vDq6MvoGw1HVEApT/nul1tJJw8FfJQ10BXTO5eppbIVWfFrij4LzPUlL42noCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e3285a9d71cce0e5fc0c7753c0342af62b2b92250a31a1970d5fb9a30a571f47","last_reissued_at":"2026-05-18T01:57:53.040383Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:57:53.040383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dissipative Divergence of Resonant Orbits","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Alessandro Morbidelli (CASSIOPEE), Konstantin Batygin (Caltech)","submitted_at":"2012-04-12T18:07:21Z","abstract_excerpt":"A considerable fraction of multi-planet systems discovered by the observational surveys of extrasolar planets reside in mild proximity to first-order mean motion resonances. However, the relative remoteness of such systems from nominal resonant period ratios (e.g. 2:1, 3:2, 4:3) has been interpreted as evidence for lack of resonant interactions. Here we show that a slow divergence away from exact commensurability is a natural outcome of dissipative evolution and demonstrate that libration of critical angles can be maintained tens of percent away from nominal resonance. We construct an analytic"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2791","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":"1204.2791","created_at":"2026-05-18T01:57:53.040469+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.2791v2","created_at":"2026-05-18T01:57:53.040469+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2791","created_at":"2026-05-18T01:57:53.040469+00:00"},{"alias_kind":"pith_short_12","alias_value":"4MUFVHLRZTQO","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_16","alias_value":"4MUFVHLRZTQOL7AM","created_at":"2026-05-18T12:26:53.410803+00:00"},{"alias_kind":"pith_short_8","alias_value":"4MUFVHLR","created_at":"2026-05-18T12:26:53.410803+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/4MUFVHLRZTQOL7AMO5J4ANBK6Y","json":"https://pith.science/pith/4MUFVHLRZTQOL7AMO5J4ANBK6Y.json","graph_json":"https://pith.science/api/pith-number/4MUFVHLRZTQOL7AMO5J4ANBK6Y/graph.json","events_json":"https://pith.science/api/pith-number/4MUFVHLRZTQOL7AMO5J4ANBK6Y/events.json","paper":"https://pith.science/paper/4MUFVHLR"},"agent_actions":{"view_html":"https://pith.science/pith/4MUFVHLRZTQOL7AMO5J4ANBK6Y","download_json":"https://pith.science/pith/4MUFVHLRZTQOL7AMO5J4ANBK6Y.json","view_paper":"https://pith.science/paper/4MUFVHLR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.2791&json=true","fetch_graph":"https://pith.science/api/pith-number/4MUFVHLRZTQOL7AMO5J4ANBK6Y/graph.json","fetch_events":"https://pith.science/api/pith-number/4MUFVHLRZTQOL7AMO5J4ANBK6Y/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4MUFVHLRZTQOL7AMO5J4ANBK6Y/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4MUFVHLRZTQOL7AMO5J4ANBK6Y/action/storage_attestation","attest_author":"https://pith.science/pith/4MUFVHLRZTQOL7AMO5J4ANBK6Y/action/author_attestation","sign_citation":"https://pith.science/pith/4MUFVHLRZTQOL7AMO5J4ANBK6Y/action/citation_signature","submit_replication":"https://pith.science/pith/4MUFVHLRZTQOL7AMO5J4ANBK6Y/action/replication_record"}},"created_at":"2026-05-18T01:57:53.040469+00:00","updated_at":"2026-05-18T01:57:53.040469+00:00"}