{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZGOPSYIHERWNE27RM2DI7N7EFS","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"a88b4c8172c66a9fe7e1fc9c2660078e6a284ea9e51ef1a8eae16fb48d121542","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2012-07-17T20:00:04Z","title_canon_sha256":"5c225cb82ae347531f3df2049a9fd6280859abe30195637a3423a6c0de8f79bd"},"schema_version":"1.0","source":{"id":"1207.4192","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.4192","created_at":"2026-05-18T01:56:17Z"},{"alias_kind":"arxiv_version","alias_value":"1207.4192v2","created_at":"2026-05-18T01:56:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.4192","created_at":"2026-05-18T01:56:17Z"},{"alias_kind":"pith_short_12","alias_value":"ZGOPSYIHERWN","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZGOPSYIHERWNE27R","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZGOPSYIH","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:9bbc62a10b2ddf11ed7d263b4b58393af7c5c8200c614191371072264231a1cd","target":"graph","created_at":"2026-05-18T01:56:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Most planet pairs in the Kepler data that have measured transit time variations (TTV) are near first-order mean-motion resonances. We derive analytical formulae for their TTV signals. We separate planet eccentricity into free and forced parts, where the forced part is purely due to the planets' proximity to resonance. This separation yields simple analytical formulae. The phase of the TTV depends sensitively on the presence of free eccentricity: if the free eccentricity vanishes, the TTV will be in phase with the longitude of conjunctions. This effect is easily detectable in current TTV data. ","authors_text":"Jiwei Xie, Yanqin Wu (Toronto), Yoram Lithwick (Northwestern)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2012-07-17T20:00:04Z","title":"Extracting Planet Mass and Eccentricity From TTV data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.4192","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3fe23088f00991bde029ef396095ce6c9f88738ee577f4f0a507c6f0664bb42f","target":"record","created_at":"2026-05-18T01:56:17Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"a88b4c8172c66a9fe7e1fc9c2660078e6a284ea9e51ef1a8eae16fb48d121542","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2012-07-17T20:00:04Z","title_canon_sha256":"5c225cb82ae347531f3df2049a9fd6280859abe30195637a3423a6c0de8f79bd"},"schema_version":"1.0","source":{"id":"1207.4192","kind":"arxiv","version":2}},"canonical_sha256":"c99cf96107246cd26bf166868fb7e42c8ea5af011d4ddba5f4b1c5e3e5897bdb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c99cf96107246cd26bf166868fb7e42c8ea5af011d4ddba5f4b1c5e3e5897bdb","first_computed_at":"2026-05-18T01:56:17.177133Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:56:17.177133Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"edKmFCREi8jmoejvyRaN8ZgfdCw1Km/X0MCpX/ZaLZYQV936Nb/aros4W2Q2/iQ6YLRQMPl6Y4Q8fdQMLGMfAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:56:17.177784Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.4192","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fe23088f00991bde029ef396095ce6c9f88738ee577f4f0a507c6f0664bb42f","sha256:9bbc62a10b2ddf11ed7d263b4b58393af7c5c8200c614191371072264231a1cd"],"state_sha256":"4b2443b527f4ab05ac6382a02ce7dcad91c0a9cfe5b5093b63351d4fafc56ce4"}