{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:JHG7CR2EDIQ635M5XZXF4TY2VW","short_pith_number":"pith:JHG7CR2E","canonical_record":{"source":{"id":"2312.08059","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2023-12-13T11:13:10Z","cross_cats_sorted":[],"title_canon_sha256":"c57bdeafa5193de08260f5e2376237756b6b56c403862ce5bd55b87cdfc24d7b","abstract_canon_sha256":"905ce27d4639f1b8f3ac7e9d9002fc585a26cbd5d763649279c2a1de4da3eab5"},"schema_version":"1.0"},"canonical_sha256":"49cdf147441a21edf59dbe6e5e4f1aadaf500ba2ff5df377b154806aad675314","source":{"kind":"arxiv","id":"2312.08059","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.08059","created_at":"2026-07-05T09:09:01Z"},{"alias_kind":"arxiv_version","alias_value":"2312.08059v2","created_at":"2026-07-05T09:09:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.08059","created_at":"2026-07-05T09:09:01Z"},{"alias_kind":"pith_short_12","alias_value":"JHG7CR2EDIQ6","created_at":"2026-07-05T09:09:01Z"},{"alias_kind":"pith_short_16","alias_value":"JHG7CR2EDIQ635M5","created_at":"2026-07-05T09:09:01Z"},{"alias_kind":"pith_short_8","alias_value":"JHG7CR2E","created_at":"2026-07-05T09:09:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:JHG7CR2EDIQ635M5XZXF4TY2VW","target":"record","payload":{"canonical_record":{"source":{"id":"2312.08059","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2023-12-13T11:13:10Z","cross_cats_sorted":[],"title_canon_sha256":"c57bdeafa5193de08260f5e2376237756b6b56c403862ce5bd55b87cdfc24d7b","abstract_canon_sha256":"905ce27d4639f1b8f3ac7e9d9002fc585a26cbd5d763649279c2a1de4da3eab5"},"schema_version":"1.0"},"canonical_sha256":"49cdf147441a21edf59dbe6e5e4f1aadaf500ba2ff5df377b154806aad675314","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:09:01.962114Z","signature_b64":"WI/adwzgPu4oh/vyt8gAFIDdcGf285SmuseDt28rvdOaMPzyu3WbYRrwDN2nHsPVOUIWih2WRALU+F2F9BHWDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"49cdf147441a21edf59dbe6e5e4f1aadaf500ba2ff5df377b154806aad675314","last_reissued_at":"2026-07-05T09:09:01.961572Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:09:01.961572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2312.08059","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T09:09:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"36RGbvagrPx4WeDKTB9bZ8gmE7UY6PjKVBNIaCKqw8KStzz3/Tiynt4CpGPnUXLOVVwytHnCYanFUZJ9fkXODQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T17:10:31.602987Z"},"content_sha256":"8cfae7287b31a70a10ff23c7f22baa7e3521f5330ec134c997559d22924560c0","schema_version":"1.0","event_id":"sha256:8cfae7287b31a70a10ff23c7f22baa7e3521f5330ec134c997559d22924560c0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:JHG7CR2EDIQ635M5XZXF4TY2VW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Linear stability of inner case of double averaged spatial restricted elliptic three body problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DS","authors_text":"Kaicheng Sheng, Xiumin Huang, Yan Luo, Yiru Ye","submitted_at":"2023-12-13T11:13:10Z","abstract_excerpt":"We study the secular effects in the motion of an asteroid with negligible mass in a spatial restricted elliptic three body problem with arbitrary inclination. Averaging over mean anomalies of the asteroid and the planet are applied to obtain the double averaged Hamiltonian system. It admits a two-parameter family of orbits corresponding to the motion of the third body in the plane of primaries' motion. The aim of our investigation is to analyze the stability of these orbits in inner case. We show that they are stable in the linear approximation and give descriptions of linear stability with re"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.08059","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2312.08059/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":"2026-07-05T09:09:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S5L5boFjf5HVdn1wDRKt27B5w7BCShnLXxi6aTObn348MM3thc5WtZgALOPtkh+ikRuKAp6t8RLrwQEveYZfCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T17:10:31.603361Z"},"content_sha256":"33a16cfe123dbe4d75f92c66d5704dfd0f7bd77211f4c490e6fcab51701176f9","schema_version":"1.0","event_id":"sha256:33a16cfe123dbe4d75f92c66d5704dfd0f7bd77211f4c490e6fcab51701176f9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JHG7CR2EDIQ635M5XZXF4TY2VW/bundle.json","state_url":"https://pith.science/pith/JHG7CR2EDIQ635M5XZXF4TY2VW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JHG7CR2EDIQ635M5XZXF4TY2VW/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":"2026-08-18T17:10:31Z","links":{"resolver":"https://pith.science/pith/JHG7CR2EDIQ635M5XZXF4TY2VW","bundle":"https://pith.science/pith/JHG7CR2EDIQ635M5XZXF4TY2VW/bundle.json","state":"https://pith.science/pith/JHG7CR2EDIQ635M5XZXF4TY2VW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JHG7CR2EDIQ635M5XZXF4TY2VW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:JHG7CR2EDIQ635M5XZXF4TY2VW","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":"905ce27d4639f1b8f3ac7e9d9002fc585a26cbd5d763649279c2a1de4da3eab5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2023-12-13T11:13:10Z","title_canon_sha256":"c57bdeafa5193de08260f5e2376237756b6b56c403862ce5bd55b87cdfc24d7b"},"schema_version":"1.0","source":{"id":"2312.08059","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2312.08059","created_at":"2026-07-05T09:09:01Z"},{"alias_kind":"arxiv_version","alias_value":"2312.08059v2","created_at":"2026-07-05T09:09:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.08059","created_at":"2026-07-05T09:09:01Z"},{"alias_kind":"pith_short_12","alias_value":"JHG7CR2EDIQ6","created_at":"2026-07-05T09:09:01Z"},{"alias_kind":"pith_short_16","alias_value":"JHG7CR2EDIQ635M5","created_at":"2026-07-05T09:09:01Z"},{"alias_kind":"pith_short_8","alias_value":"JHG7CR2E","created_at":"2026-07-05T09:09:01Z"}],"graph_snapshots":[{"event_id":"sha256:33a16cfe123dbe4d75f92c66d5704dfd0f7bd77211f4c490e6fcab51701176f9","target":"graph","created_at":"2026-07-05T09:09:01Z","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/2312.08059/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the secular effects in the motion of an asteroid with negligible mass in a spatial restricted elliptic three body problem with arbitrary inclination. Averaging over mean anomalies of the asteroid and the planet are applied to obtain the double averaged Hamiltonian system. It admits a two-parameter family of orbits corresponding to the motion of the third body in the plane of primaries' motion. The aim of our investigation is to analyze the stability of these orbits in inner case. We show that they are stable in the linear approximation and give descriptions of linear stability with re","authors_text":"Kaicheng Sheng, Xiumin Huang, Yan Luo, Yiru Ye","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2023-12-13T11:13:10Z","title":"Linear stability of inner case of double averaged spatial restricted elliptic three body problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.08059","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":"sha256:8cfae7287b31a70a10ff23c7f22baa7e3521f5330ec134c997559d22924560c0","target":"record","created_at":"2026-07-05T09:09:01Z","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":"905ce27d4639f1b8f3ac7e9d9002fc585a26cbd5d763649279c2a1de4da3eab5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2023-12-13T11:13:10Z","title_canon_sha256":"c57bdeafa5193de08260f5e2376237756b6b56c403862ce5bd55b87cdfc24d7b"},"schema_version":"1.0","source":{"id":"2312.08059","kind":"arxiv","version":2}},"canonical_sha256":"49cdf147441a21edf59dbe6e5e4f1aadaf500ba2ff5df377b154806aad675314","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49cdf147441a21edf59dbe6e5e4f1aadaf500ba2ff5df377b154806aad675314","first_computed_at":"2026-07-05T09:09:01.961572Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:09:01.961572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WI/adwzgPu4oh/vyt8gAFIDdcGf285SmuseDt28rvdOaMPzyu3WbYRrwDN2nHsPVOUIWih2WRALU+F2F9BHWDA==","signature_status":"signed_v1","signed_at":"2026-07-05T09:09:01.962114Z","signed_message":"canonical_sha256_bytes"},"source_id":"2312.08059","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8cfae7287b31a70a10ff23c7f22baa7e3521f5330ec134c997559d22924560c0","sha256:33a16cfe123dbe4d75f92c66d5704dfd0f7bd77211f4c490e6fcab51701176f9"],"state_sha256":"5bb7405bfe126f378df732ddbbe9172665ad75014fecfbdcc89b178c18588da4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T0Rcf9glzlUAgRn306tUVZYxshsOKt8/F55GB1bhoeur2xiQiPws/41YSlS8oHKVZ292VVGuyQwAHACGyeVrDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T17:10:31.605770Z","bundle_sha256":"e347f20a0122608b2cf27956c8038b05c1f9bf9c31f9344ec0af69d25724a932"}}