{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:NGZ5OWBDJ5DXZVCN2GS7CRTHGA","short_pith_number":"pith:NGZ5OWBD","canonical_record":{"source":{"id":"1607.03767","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-03-10T13:36:24Z","cross_cats_sorted":[],"title_canon_sha256":"027530bd58dce4edebd8b8f01575357fc79e80438b21a7c154228f25428662ac","abstract_canon_sha256":"c86b4867ba2e442a9e8f2c1df990c5f81c7aa452d41060a3705571b0a829b686"},"schema_version":"1.0"},"canonical_sha256":"69b3d758234f477cd44dd1a5f14667300d9d63802727c2cf4011c7ea6c96718e","source":{"kind":"arxiv","id":"1607.03767","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.03767","created_at":"2026-05-18T01:11:05Z"},{"alias_kind":"arxiv_version","alias_value":"1607.03767v1","created_at":"2026-05-18T01:11:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.03767","created_at":"2026-05-18T01:11:05Z"},{"alias_kind":"pith_short_12","alias_value":"NGZ5OWBDJ5DX","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"NGZ5OWBDJ5DXZVCN","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"NGZ5OWBD","created_at":"2026-05-18T12:30:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:NGZ5OWBDJ5DXZVCN2GS7CRTHGA","target":"record","payload":{"canonical_record":{"source":{"id":"1607.03767","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-03-10T13:36:24Z","cross_cats_sorted":[],"title_canon_sha256":"027530bd58dce4edebd8b8f01575357fc79e80438b21a7c154228f25428662ac","abstract_canon_sha256":"c86b4867ba2e442a9e8f2c1df990c5f81c7aa452d41060a3705571b0a829b686"},"schema_version":"1.0"},"canonical_sha256":"69b3d758234f477cd44dd1a5f14667300d9d63802727c2cf4011c7ea6c96718e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:05.756594Z","signature_b64":"nzV+NniCfwcWVsHHqmwEp7tmZg6m9Z0W85DY00on/gRAinf3l5s5NHrG97gRj+wZ+kmqIRtqcBmCy6x5E95MCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69b3d758234f477cd44dd1a5f14667300d9d63802727c2cf4011c7ea6c96718e","last_reissued_at":"2026-05-18T01:11:05.755954Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:05.755954Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.03767","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":"2026-05-18T01:11:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mVUaIehSVztJUYoWIDYhTO90mtparO2jorM8eCi/rYIbVT/J0hXnfS5C8R15GewUVf6geOZAcNZ1X4ETFoDFCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:01:28.336462Z"},"content_sha256":"26de8ad04c37024f392630fd1c2cb3eb3821e30d489d1bef88db99a3bfda7960","schema_version":"1.0","event_id":"sha256:26de8ad04c37024f392630fd1c2cb3eb3821e30d489d1bef88db99a3bfda7960"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:NGZ5OWBDJ5DXZVCN2GS7CRTHGA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A study of the lunisolar secular resonance $2\\dot{\\omega}+\\dot{\\Omega}=0$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.EP","authors_text":"Alessandra Celletti, Catalin Gales","submitted_at":"2016-03-10T13:36:24Z","abstract_excerpt":"The dynamics of small bodies around the Earth has gained a renewed interest, since the awareness of the problems that space debris can cause in the nearby future. A relevant role in space debris is played by lunisolar secular resonances, which might contribute to an increase of the orbital elements, typically of the eccentricity. We concentrate our attention on the lunisolar secular resonance described by the relation $2\\dot{\\omega}+\\dot{\\Omega}=0$, where $\\omega$ and $\\Omega$ denote the argument of perigee and the longitude of the ascending node of the space debris. We introduce three differe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.03767","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":"2026-05-18T01:11:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N6IyxuwaCc/veNaSme9gxfUhUaLRnY+FzYNh5TVZ8YuCF4m165SsnQO8Oi+t4I/61fBe5KgxF+z2qwdVuVZqDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T05:01:28.336809Z"},"content_sha256":"523a38a88d34e1fb238e3a466a261f34cfe2d55eb07d576a908870dd0b3d142e","schema_version":"1.0","event_id":"sha256:523a38a88d34e1fb238e3a466a261f34cfe2d55eb07d576a908870dd0b3d142e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NGZ5OWBDJ5DXZVCN2GS7CRTHGA/bundle.json","state_url":"https://pith.science/pith/NGZ5OWBDJ5DXZVCN2GS7CRTHGA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NGZ5OWBDJ5DXZVCN2GS7CRTHGA/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":"2026-05-28T05:01:28Z","links":{"resolver":"https://pith.science/pith/NGZ5OWBDJ5DXZVCN2GS7CRTHGA","bundle":"https://pith.science/pith/NGZ5OWBDJ5DXZVCN2GS7CRTHGA/bundle.json","state":"https://pith.science/pith/NGZ5OWBDJ5DXZVCN2GS7CRTHGA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NGZ5OWBDJ5DXZVCN2GS7CRTHGA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NGZ5OWBDJ5DXZVCN2GS7CRTHGA","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":"c86b4867ba2e442a9e8f2c1df990c5f81c7aa452d41060a3705571b0a829b686","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-03-10T13:36:24Z","title_canon_sha256":"027530bd58dce4edebd8b8f01575357fc79e80438b21a7c154228f25428662ac"},"schema_version":"1.0","source":{"id":"1607.03767","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.03767","created_at":"2026-05-18T01:11:05Z"},{"alias_kind":"arxiv_version","alias_value":"1607.03767v1","created_at":"2026-05-18T01:11:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.03767","created_at":"2026-05-18T01:11:05Z"},{"alias_kind":"pith_short_12","alias_value":"NGZ5OWBDJ5DX","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_16","alias_value":"NGZ5OWBDJ5DXZVCN","created_at":"2026-05-18T12:30:32Z"},{"alias_kind":"pith_short_8","alias_value":"NGZ5OWBD","created_at":"2026-05-18T12:30:32Z"}],"graph_snapshots":[{"event_id":"sha256:523a38a88d34e1fb238e3a466a261f34cfe2d55eb07d576a908870dd0b3d142e","target":"graph","created_at":"2026-05-18T01:11:05Z","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":"The dynamics of small bodies around the Earth has gained a renewed interest, since the awareness of the problems that space debris can cause in the nearby future. A relevant role in space debris is played by lunisolar secular resonances, which might contribute to an increase of the orbital elements, typically of the eccentricity. We concentrate our attention on the lunisolar secular resonance described by the relation $2\\dot{\\omega}+\\dot{\\Omega}=0$, where $\\omega$ and $\\Omega$ denote the argument of perigee and the longitude of the ascending node of the space debris. We introduce three differe","authors_text":"Alessandra Celletti, Catalin Gales","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-03-10T13:36:24Z","title":"A study of the lunisolar secular resonance $2\\dot{\\omega}+\\dot{\\Omega}=0$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.03767","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":"sha256:26de8ad04c37024f392630fd1c2cb3eb3821e30d489d1bef88db99a3bfda7960","target":"record","created_at":"2026-05-18T01:11:05Z","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":"c86b4867ba2e442a9e8f2c1df990c5f81c7aa452d41060a3705571b0a829b686","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.EP","submitted_at":"2016-03-10T13:36:24Z","title_canon_sha256":"027530bd58dce4edebd8b8f01575357fc79e80438b21a7c154228f25428662ac"},"schema_version":"1.0","source":{"id":"1607.03767","kind":"arxiv","version":1}},"canonical_sha256":"69b3d758234f477cd44dd1a5f14667300d9d63802727c2cf4011c7ea6c96718e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69b3d758234f477cd44dd1a5f14667300d9d63802727c2cf4011c7ea6c96718e","first_computed_at":"2026-05-18T01:11:05.755954Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:05.755954Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nzV+NniCfwcWVsHHqmwEp7tmZg6m9Z0W85DY00on/gRAinf3l5s5NHrG97gRj+wZ+kmqIRtqcBmCy6x5E95MCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:05.756594Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.03767","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26de8ad04c37024f392630fd1c2cb3eb3821e30d489d1bef88db99a3bfda7960","sha256:523a38a88d34e1fb238e3a466a261f34cfe2d55eb07d576a908870dd0b3d142e"],"state_sha256":"d08b5b9b70da31ccc79e8c8da76b4f045b0beec1d51f18707e727c074da2bd19"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EKhUu1JcIbsws/ypXPJCTHEeb4svSZhSKr337rjGh8bfY7RNqulLovCcPjEglYIUTKBeCrViSdcQJTfKgywiDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T05:01:28.338896Z","bundle_sha256":"eeb26fdbe9947aaa33a5e5932e81e3543561d93b7159f6a399b2a5b99e3cf327"}}