{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WQ334MDSNYD35GAS2TR345RCHG","short_pith_number":"pith:WQ334MDS","canonical_record":{"source":{"id":"1602.04755","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-02-15T18:25:55Z","cross_cats_sorted":[],"title_canon_sha256":"574d0f4ff9cb96eec4a7f102865f252c454ba912e62c0ee7c3620958441a6979","abstract_canon_sha256":"296ef91ac3b31353c400602e6407cdfaa60af45ed26d267028d3d64f0a1cf930"},"schema_version":"1.0"},"canonical_sha256":"b437be30726e07be9812d4e3be7622399ade26019e81dabce4cee06d4041cb66","source":{"kind":"arxiv","id":"1602.04755","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.04755","created_at":"2026-05-18T01:17:17Z"},{"alias_kind":"arxiv_version","alias_value":"1602.04755v1","created_at":"2026-05-18T01:17:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04755","created_at":"2026-05-18T01:17:17Z"},{"alias_kind":"pith_short_12","alias_value":"WQ334MDSNYD3","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WQ334MDSNYD35GAS","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WQ334MDS","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WQ334MDSNYD35GAS2TR345RCHG","target":"record","payload":{"canonical_record":{"source":{"id":"1602.04755","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-02-15T18:25:55Z","cross_cats_sorted":[],"title_canon_sha256":"574d0f4ff9cb96eec4a7f102865f252c454ba912e62c0ee7c3620958441a6979","abstract_canon_sha256":"296ef91ac3b31353c400602e6407cdfaa60af45ed26d267028d3d64f0a1cf930"},"schema_version":"1.0"},"canonical_sha256":"b437be30726e07be9812d4e3be7622399ade26019e81dabce4cee06d4041cb66","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:17.318381Z","signature_b64":"3F4d6Z2wegoMOO0Cg3zHipKzumhK5X00hxL+1p+0h57e5QTTnXgSJ1ZIlciC1JgdZODAhPyLRut2nOGsTZwqAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b437be30726e07be9812d4e3be7622399ade26019e81dabce4cee06d4041cb66","last_reissued_at":"2026-05-18T01:17:17.317691Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:17.317691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.04755","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":"2026-05-18T01:17:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h2NsuZEcGhX/Hmj//Mn+cvCg5EUvBSzlTq/Ahsbm0KdVi/jDmGx0fOwuakApHPoJvPXG/n+xaYUG3PG6AfwlBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:59:47.324691Z"},"content_sha256":"68d46fe03c7647e3ff56b82eea8e943e298c72560f43b6e3384457e520a6d8d6","schema_version":"1.0","event_id":"sha256:68d46fe03c7647e3ff56b82eea8e943e298c72560f43b6e3384457e520a6d8d6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WQ334MDSNYD35GAS2TR345RCHG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A numerical investigation of coorbital stability and libration in three dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Fathi Namouni, Maria Helena M. Morais","submitted_at":"2016-02-15T18:25:55Z","abstract_excerpt":"Motivated by the dynamics of resonance capture, we study numerically the coorbital resonance for inclination180 >=I>=0 in the circular restricted three-body problem. We examine the similarities and differences between planar and three dimensional coorbital resonance capture and seek their origin in the stability of coorbital motion at arbitrary inclination. After we present stability maps of the planar prograde and retrograde coorbital resonances, we characterize the new coorbital modes in three dimensions. We see that retrograde mode I (R1) and mode II (R2) persist as we change the relative i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04755","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ls8Ey0hgsDhtb/mlihSVkxfmO5IiNulx39md3crW9/iIBlYD4Vp+oBJV24bt0s1cG9DE9Fofo9z4UwwLGuXjBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T10:59:47.325448Z"},"content_sha256":"591c99c38d2500cf800bf3b07e1c304dcc5e57f2b0f5ac17aadb5a95d946db78","schema_version":"1.0","event_id":"sha256:591c99c38d2500cf800bf3b07e1c304dcc5e57f2b0f5ac17aadb5a95d946db78"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WQ334MDSNYD35GAS2TR345RCHG/bundle.json","state_url":"https://pith.science/pith/WQ334MDSNYD35GAS2TR345RCHG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WQ334MDSNYD35GAS2TR345RCHG/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":"2026-05-31T10:59:47Z","links":{"resolver":"https://pith.science/pith/WQ334MDSNYD35GAS2TR345RCHG","bundle":"https://pith.science/pith/WQ334MDSNYD35GAS2TR345RCHG/bundle.json","state":"https://pith.science/pith/WQ334MDSNYD35GAS2TR345RCHG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WQ334MDSNYD35GAS2TR345RCHG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WQ334MDSNYD35GAS2TR345RCHG","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":"296ef91ac3b31353c400602e6407cdfaa60af45ed26d267028d3d64f0a1cf930","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-02-15T18:25:55Z","title_canon_sha256":"574d0f4ff9cb96eec4a7f102865f252c454ba912e62c0ee7c3620958441a6979"},"schema_version":"1.0","source":{"id":"1602.04755","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.04755","created_at":"2026-05-18T01:17:17Z"},{"alias_kind":"arxiv_version","alias_value":"1602.04755v1","created_at":"2026-05-18T01:17:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04755","created_at":"2026-05-18T01:17:17Z"},{"alias_kind":"pith_short_12","alias_value":"WQ334MDSNYD3","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WQ334MDSNYD35GAS","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WQ334MDS","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:591c99c38d2500cf800bf3b07e1c304dcc5e57f2b0f5ac17aadb5a95d946db78","target":"graph","created_at":"2026-05-18T01:17:17Z","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":"Motivated by the dynamics of resonance capture, we study numerically the coorbital resonance for inclination180 >=I>=0 in the circular restricted three-body problem. We examine the similarities and differences between planar and three dimensional coorbital resonance capture and seek their origin in the stability of coorbital motion at arbitrary inclination. After we present stability maps of the planar prograde and retrograde coorbital resonances, we characterize the new coorbital modes in three dimensions. We see that retrograde mode I (R1) and mode II (R2) persist as we change the relative i","authors_text":"Fathi Namouni, Maria Helena M. Morais","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-02-15T18:25:55Z","title":"A numerical investigation of coorbital stability and libration in three dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04755","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":"sha256:68d46fe03c7647e3ff56b82eea8e943e298c72560f43b6e3384457e520a6d8d6","target":"record","created_at":"2026-05-18T01:17:17Z","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":"296ef91ac3b31353c400602e6407cdfaa60af45ed26d267028d3d64f0a1cf930","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-02-15T18:25:55Z","title_canon_sha256":"574d0f4ff9cb96eec4a7f102865f252c454ba912e62c0ee7c3620958441a6979"},"schema_version":"1.0","source":{"id":"1602.04755","kind":"arxiv","version":1}},"canonical_sha256":"b437be30726e07be9812d4e3be7622399ade26019e81dabce4cee06d4041cb66","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b437be30726e07be9812d4e3be7622399ade26019e81dabce4cee06d4041cb66","first_computed_at":"2026-05-18T01:17:17.317691Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:17.317691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3F4d6Z2wegoMOO0Cg3zHipKzumhK5X00hxL+1p+0h57e5QTTnXgSJ1ZIlciC1JgdZODAhPyLRut2nOGsTZwqAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:17.318381Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.04755","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:68d46fe03c7647e3ff56b82eea8e943e298c72560f43b6e3384457e520a6d8d6","sha256:591c99c38d2500cf800bf3b07e1c304dcc5e57f2b0f5ac17aadb5a95d946db78"],"state_sha256":"0fd9ceb27defb2f31d19e99a6a1466b3b9bf2e6406f55a6a4161cb8de3cf5a6c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mRMAX5R3KIboaWvvOM1mvX84j9LuKoG3ZGuHyyGnwUd4mwjVlJFdqArnjvcqHBMd7lRbJKi2cIDNp1UVARWtCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T10:59:47.330717Z","bundle_sha256":"0d1382f64494e4f4bb525af808892cbb563d613f2479bd9e2baf174100e9b82f"}}