{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:XP3LIT3CK3MU4EURY4YGSVJOXX","short_pith_number":"pith:XP3LIT3C","schema_version":"1.0","canonical_sha256":"bbf6b44f6256d94e1291c73069552ebdeba385f178b965ca2c6b472dd6b63989","source":{"kind":"arxiv","id":"2110.06317","version":1},"attestation_state":"computed","paper":{"title":"Period Ratio Sculpting Near Second-Order Mean-Motion Resonances","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Daniel Fabrycky, Gregory Gilbert, Nora Bailey","submitted_at":"2021-10-12T20:10:52Z","abstract_excerpt":"Second-order mean-motion resonances lead to an interesting phenomenon in the sculpting of the period ratio distribution due to their shape and width in period-ratio/eccentricity space. As the osculating periods librate in resonance, the time-averaged period ratio approaches the exact commensurability. The width of second-order resonances increases with increasing eccentricity, and thus more eccentric systems have a stronger peak at commensurability when averaged over sufficient time. The libration period is short enough that this time-averaging behavior is expected to appear on the timescale o"},"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":"2110.06317","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.EP","submitted_at":"2021-10-12T20:10:52Z","cross_cats_sorted":[],"title_canon_sha256":"6108ca31f10136636a16747d43600b8d1294b70e17f01173a52d2bb8239b713e","abstract_canon_sha256":"c884c940220deb81ff88dfb2e30d3abe9808a29272e424182a9d0f063c2ec9ce"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:42:51.697889Z","signature_b64":"ww5guZaEJSg49Yr8GCX8dOHdVWalj3p1K2+Fz/+4VaEogMOqrKMQyx6zX8IUfNQI5wktVZiihF1UM6VOsjZXAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bbf6b44f6256d94e1291c73069552ebdeba385f178b965ca2c6b472dd6b63989","last_reissued_at":"2026-07-05T03:42:51.697410Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:42:51.697410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Period Ratio Sculpting Near Second-Order Mean-Motion Resonances","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Daniel Fabrycky, Gregory Gilbert, Nora Bailey","submitted_at":"2021-10-12T20:10:52Z","abstract_excerpt":"Second-order mean-motion resonances lead to an interesting phenomenon in the sculpting of the period ratio distribution due to their shape and width in period-ratio/eccentricity space. As the osculating periods librate in resonance, the time-averaged period ratio approaches the exact commensurability. The width of second-order resonances increases with increasing eccentricity, and thus more eccentric systems have a stronger peak at commensurability when averaged over sufficient time. The libration period is short enough that this time-averaging behavior is expected to appear on the timescale o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.06317","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2110.06317/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2110.06317","created_at":"2026-07-05T03:42:51.697468+00:00"},{"alias_kind":"arxiv_version","alias_value":"2110.06317v1","created_at":"2026-07-05T03:42:51.697468+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.06317","created_at":"2026-07-05T03:42:51.697468+00:00"},{"alias_kind":"pith_short_12","alias_value":"XP3LIT3CK3MU","created_at":"2026-07-05T03:42:51.697468+00:00"},{"alias_kind":"pith_short_16","alias_value":"XP3LIT3CK3MU4EUR","created_at":"2026-07-05T03:42:51.697468+00:00"},{"alias_kind":"pith_short_8","alias_value":"XP3LIT3C","created_at":"2026-07-05T03:42:51.697468+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/XP3LIT3CK3MU4EURY4YGSVJOXX","json":"https://pith.science/pith/XP3LIT3CK3MU4EURY4YGSVJOXX.json","graph_json":"https://pith.science/api/pith-number/XP3LIT3CK3MU4EURY4YGSVJOXX/graph.json","events_json":"https://pith.science/api/pith-number/XP3LIT3CK3MU4EURY4YGSVJOXX/events.json","paper":"https://pith.science/paper/XP3LIT3C"},"agent_actions":{"view_html":"https://pith.science/pith/XP3LIT3CK3MU4EURY4YGSVJOXX","download_json":"https://pith.science/pith/XP3LIT3CK3MU4EURY4YGSVJOXX.json","view_paper":"https://pith.science/paper/XP3LIT3C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2110.06317&json=true","fetch_graph":"https://pith.science/api/pith-number/XP3LIT3CK3MU4EURY4YGSVJOXX/graph.json","fetch_events":"https://pith.science/api/pith-number/XP3LIT3CK3MU4EURY4YGSVJOXX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XP3LIT3CK3MU4EURY4YGSVJOXX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XP3LIT3CK3MU4EURY4YGSVJOXX/action/storage_attestation","attest_author":"https://pith.science/pith/XP3LIT3CK3MU4EURY4YGSVJOXX/action/author_attestation","sign_citation":"https://pith.science/pith/XP3LIT3CK3MU4EURY4YGSVJOXX/action/citation_signature","submit_replication":"https://pith.science/pith/XP3LIT3CK3MU4EURY4YGSVJOXX/action/replication_record"}},"created_at":"2026-07-05T03:42:51.697468+00:00","updated_at":"2026-07-05T03:42:51.697468+00:00"}