{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:QZAWCP6THEMP3BJCLTW34BHYP5","short_pith_number":"pith:QZAWCP6T","canonical_record":{"source":{"id":"2003.07835","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2020-03-17T17:38:03Z","cross_cats_sorted":[],"title_canon_sha256":"f596b55d42824e4b6c9a9210b60b2d7d05a35124a5138d97ab39d70cfe15f155","abstract_canon_sha256":"76cb627f5eecc30c5fd5271192422da2b08984eb0dc84f0288ab9e8290114d2f"},"schema_version":"1.0"},"canonical_sha256":"8641613fd33918fd85225cedbe04f87f6ab1657757da9d48415e683ff5b48d1c","source":{"kind":"arxiv","id":"2003.07835","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.07835","created_at":"2026-07-05T01:00:41Z"},{"alias_kind":"arxiv_version","alias_value":"2003.07835v1","created_at":"2026-07-05T01:00:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.07835","created_at":"2026-07-05T01:00:41Z"},{"alias_kind":"pith_short_12","alias_value":"QZAWCP6THEMP","created_at":"2026-07-05T01:00:41Z"},{"alias_kind":"pith_short_16","alias_value":"QZAWCP6THEMP3BJC","created_at":"2026-07-05T01:00:41Z"},{"alias_kind":"pith_short_8","alias_value":"QZAWCP6T","created_at":"2026-07-05T01:00:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:QZAWCP6THEMP3BJCLTW34BHYP5","target":"record","payload":{"canonical_record":{"source":{"id":"2003.07835","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2020-03-17T17:38:03Z","cross_cats_sorted":[],"title_canon_sha256":"f596b55d42824e4b6c9a9210b60b2d7d05a35124a5138d97ab39d70cfe15f155","abstract_canon_sha256":"76cb627f5eecc30c5fd5271192422da2b08984eb0dc84f0288ab9e8290114d2f"},"schema_version":"1.0"},"canonical_sha256":"8641613fd33918fd85225cedbe04f87f6ab1657757da9d48415e683ff5b48d1c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:00:41.407424Z","signature_b64":"xgUNOuaeRqkQLb7lOLFlzUW2F9jr2wMxJuEOlV0v+Swr45c68QmTX4Zp44ywXw70esjQmK76ZkXWctJtxMLGBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8641613fd33918fd85225cedbe04f87f6ab1657757da9d48415e683ff5b48d1c","last_reissued_at":"2026-07-05T01:00:41.406960Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:00:41.406960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2003.07835","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:00:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WJ1FheB8/6kXnFtuSz4UCYfuEfdZWECNhSvna/QhRKD0KUksWR1b6E1NDPoNihGkC2AbFye1HY6SijZQ7wNYCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:48:02.228089Z"},"content_sha256":"7462b8110da335448e195fdb8ba36aa5965d06c54c38b4a082d4dda8a5376210","schema_version":"1.0","event_id":"sha256:7462b8110da335448e195fdb8ba36aa5965d06c54c38b4a082d4dda8a5376210"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:QZAWCP6THEMP3BJCLTW34BHYP5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nodal Precession in Closely Spaced Planet Pairs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Daniel Fabrycky, Nora Bailey","submitted_at":"2020-03-17T17:38:03Z","abstract_excerpt":"Planet-planet perturbations can cause planets' orbital elements to change on secular timescales. Previous work has evaluated the nodal precession rate for planets in the limit of low $\\alpha$ (semi-major axis ratio, 0$<$$\\alpha$$\\leq$1). Our simulations show that systems at high $\\alpha$ (or low period ratio), similar to multiplanet systems found in the Kepler survey, have a nodal precession rate that is more strongly dependent on eccentricity and inclination. We present a complete expansion of the nodal precession rate to fourth order in the disturbing function and show that this analytical s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.07835","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/2003.07835/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:00:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m4gz48Qw4PJoukFXuOS8/GSVeEj8Swj0eukFOD/WAVmCoh9c/FfOXpFNUAT5m3sC0ll28wtEEeuRdTFc/I4dBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T17:48:02.228589Z"},"content_sha256":"64b80d7227aadb4bcf9f4f6e4d533e5c8e2d9db2e2a728989ba97aa842b15ab2","schema_version":"1.0","event_id":"sha256:64b80d7227aadb4bcf9f4f6e4d533e5c8e2d9db2e2a728989ba97aa842b15ab2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QZAWCP6THEMP3BJCLTW34BHYP5/bundle.json","state_url":"https://pith.science/pith/QZAWCP6THEMP3BJCLTW34BHYP5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QZAWCP6THEMP3BJCLTW34BHYP5/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-03T17:48:02Z","links":{"resolver":"https://pith.science/pith/QZAWCP6THEMP3BJCLTW34BHYP5","bundle":"https://pith.science/pith/QZAWCP6THEMP3BJCLTW34BHYP5/bundle.json","state":"https://pith.science/pith/QZAWCP6THEMP3BJCLTW34BHYP5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QZAWCP6THEMP3BJCLTW34BHYP5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:QZAWCP6THEMP3BJCLTW34BHYP5","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":"76cb627f5eecc30c5fd5271192422da2b08984eb0dc84f0288ab9e8290114d2f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2020-03-17T17:38:03Z","title_canon_sha256":"f596b55d42824e4b6c9a9210b60b2d7d05a35124a5138d97ab39d70cfe15f155"},"schema_version":"1.0","source":{"id":"2003.07835","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2003.07835","created_at":"2026-07-05T01:00:41Z"},{"alias_kind":"arxiv_version","alias_value":"2003.07835v1","created_at":"2026-07-05T01:00:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2003.07835","created_at":"2026-07-05T01:00:41Z"},{"alias_kind":"pith_short_12","alias_value":"QZAWCP6THEMP","created_at":"2026-07-05T01:00:41Z"},{"alias_kind":"pith_short_16","alias_value":"QZAWCP6THEMP3BJC","created_at":"2026-07-05T01:00:41Z"},{"alias_kind":"pith_short_8","alias_value":"QZAWCP6T","created_at":"2026-07-05T01:00:41Z"}],"graph_snapshots":[{"event_id":"sha256:64b80d7227aadb4bcf9f4f6e4d533e5c8e2d9db2e2a728989ba97aa842b15ab2","target":"graph","created_at":"2026-07-05T01:00:41Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2003.07835/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Planet-planet perturbations can cause planets' orbital elements to change on secular timescales. Previous work has evaluated the nodal precession rate for planets in the limit of low $\\alpha$ (semi-major axis ratio, 0$<$$\\alpha$$\\leq$1). Our simulations show that systems at high $\\alpha$ (or low period ratio), similar to multiplanet systems found in the Kepler survey, have a nodal precession rate that is more strongly dependent on eccentricity and inclination. We present a complete expansion of the nodal precession rate to fourth order in the disturbing function and show that this analytical s","authors_text":"Daniel Fabrycky, Nora Bailey","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2020-03-17T17:38:03Z","title":"Nodal Precession in Closely Spaced Planet Pairs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2003.07835","kind":"arxiv","version":1},"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":"sha256:7462b8110da335448e195fdb8ba36aa5965d06c54c38b4a082d4dda8a5376210","target":"record","created_at":"2026-07-05T01:00:41Z","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":"76cb627f5eecc30c5fd5271192422da2b08984eb0dc84f0288ab9e8290114d2f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2020-03-17T17:38:03Z","title_canon_sha256":"f596b55d42824e4b6c9a9210b60b2d7d05a35124a5138d97ab39d70cfe15f155"},"schema_version":"1.0","source":{"id":"2003.07835","kind":"arxiv","version":1}},"canonical_sha256":"8641613fd33918fd85225cedbe04f87f6ab1657757da9d48415e683ff5b48d1c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8641613fd33918fd85225cedbe04f87f6ab1657757da9d48415e683ff5b48d1c","first_computed_at":"2026-07-05T01:00:41.406960Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:00:41.406960Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xgUNOuaeRqkQLb7lOLFlzUW2F9jr2wMxJuEOlV0v+Swr45c68QmTX4Zp44ywXw70esjQmK76ZkXWctJtxMLGBQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:00:41.407424Z","signed_message":"canonical_sha256_bytes"},"source_id":"2003.07835","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7462b8110da335448e195fdb8ba36aa5965d06c54c38b4a082d4dda8a5376210","sha256:64b80d7227aadb4bcf9f4f6e4d533e5c8e2d9db2e2a728989ba97aa842b15ab2"],"state_sha256":"c80c1e564f07271423d7a9b0b6671f81e65eba7674759f69d8088e663b3cce6f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ju+AJteChbc6QLnApKqsxIGqS89uacyiOTbeUeL5p4r6E2waBhiOeeALb9qVHugYCRkU50dGstXaP2OoPfz0Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T17:48:02.234116Z","bundle_sha256":"ae55fed4ccfa76972fc14605d24a093e5001f2bccebf27a6fdd702941f530634"}}