{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:K2ZBPVWRWVXI3SS4CKGNEBBXZC","short_pith_number":"pith:K2ZBPVWR","canonical_record":{"source":{"id":"1303.0881","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2013-03-04T22:25:13Z","cross_cats_sorted":[],"title_canon_sha256":"24df132467e8d1b4fcfd15a6fd213e1490c36a0f68860390be754357eb016b09","abstract_canon_sha256":"4cfcb52a34083e1060975d8b067892d7a3be753320f33fc3bc2ef8ef5a164cfe"},"schema_version":"1.0"},"canonical_sha256":"56b217d6d1b56e8dca5c128cd20437c899c3d015d3e5de0a8070b1e1d2a40422","source":{"kind":"arxiv","id":"1303.0881","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0881","created_at":"2026-05-18T00:34:16Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0881v2","created_at":"2026-05-18T00:34:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0881","created_at":"2026-05-18T00:34:16Z"},{"alias_kind":"pith_short_12","alias_value":"K2ZBPVWRWVXI","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"K2ZBPVWRWVXI3SS4","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"K2ZBPVWR","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:K2ZBPVWRWVXI3SS4CKGNEBBXZC","target":"record","payload":{"canonical_record":{"source":{"id":"1303.0881","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2013-03-04T22:25:13Z","cross_cats_sorted":[],"title_canon_sha256":"24df132467e8d1b4fcfd15a6fd213e1490c36a0f68860390be754357eb016b09","abstract_canon_sha256":"4cfcb52a34083e1060975d8b067892d7a3be753320f33fc3bc2ef8ef5a164cfe"},"schema_version":"1.0"},"canonical_sha256":"56b217d6d1b56e8dca5c128cd20437c899c3d015d3e5de0a8070b1e1d2a40422","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:34:16.405971Z","signature_b64":"ZlhH0+khJ7hLMitWxCe47SZ0nqWungTC5hIDgoq872SjiWB4BnsppIoVmSJqQHxFMZnQQHxyjyg0AcPV/AOCCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56b217d6d1b56e8dca5c128cd20437c899c3d015d3e5de0a8070b1e1d2a40422","last_reissued_at":"2026-05-18T00:34:16.405291Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:34:16.405291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.0881","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":"2026-05-18T00:34:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8rA22TMzcXEZObtpAi0c+rbqDHA6SfpDfKWe+gV/uVR3IY5WDmHun3R5CqaL+kddToPHqcdraVjSAdITuWeqCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T12:25:57.805963Z"},"content_sha256":"639c542d548d8cb256ba285ddb3af1cfdb137b353b1b85d979f520523b36093c","schema_version":"1.0","event_id":"sha256:639c542d548d8cb256ba285ddb3af1cfdb137b353b1b85d979f520523b36093c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:K2ZBPVWRWVXI3SS4CKGNEBBXZC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Revealing the character of orbits in a binary system consisting of a primary galaxy and a satellite companion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"Euaggelos E. Zotos","submitted_at":"2013-03-04T22:25:13Z","abstract_excerpt":"In this article, we present a galactic gravitational model of three degrees of freedom (3D), in order to study and reveal the character of the orbits of the stars, in a binary stellar system composed of a primary quiet or active galaxy and a small satellite companion galaxy. Our main dynamical analysis will be focused on the behavior of the primary galaxy. We investigate in detail the regular or chaotic nature of motion, in two different cases: (i) the time-independent model in both 2D and 3D dynamical systems and (ii) the time-evolving 3D model. Our numerical calculations indicate that the pe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0881","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":""},"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":"2026-05-18T00:34:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EMe+/yBu3sYBy7IXowKaaCzdvVTfwkgOr5/7O5gQfILNXqdgXqt1xQSopNwUyony1K8NOjGmXnmyAmOadhSTDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T12:25:57.806386Z"},"content_sha256":"283f774b04d26510864d80f2df859151a596e8a9ac7a2e0a25f84f4eb2f0f41d","schema_version":"1.0","event_id":"sha256:283f774b04d26510864d80f2df859151a596e8a9ac7a2e0a25f84f4eb2f0f41d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K2ZBPVWRWVXI3SS4CKGNEBBXZC/bundle.json","state_url":"https://pith.science/pith/K2ZBPVWRWVXI3SS4CKGNEBBXZC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K2ZBPVWRWVXI3SS4CKGNEBBXZC/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":"2026-05-27T12:25:57Z","links":{"resolver":"https://pith.science/pith/K2ZBPVWRWVXI3SS4CKGNEBBXZC","bundle":"https://pith.science/pith/K2ZBPVWRWVXI3SS4CKGNEBBXZC/bundle.json","state":"https://pith.science/pith/K2ZBPVWRWVXI3SS4CKGNEBBXZC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K2ZBPVWRWVXI3SS4CKGNEBBXZC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:K2ZBPVWRWVXI3SS4CKGNEBBXZC","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":"4cfcb52a34083e1060975d8b067892d7a3be753320f33fc3bc2ef8ef5a164cfe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2013-03-04T22:25:13Z","title_canon_sha256":"24df132467e8d1b4fcfd15a6fd213e1490c36a0f68860390be754357eb016b09"},"schema_version":"1.0","source":{"id":"1303.0881","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0881","created_at":"2026-05-18T00:34:16Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0881v2","created_at":"2026-05-18T00:34:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0881","created_at":"2026-05-18T00:34:16Z"},{"alias_kind":"pith_short_12","alias_value":"K2ZBPVWRWVXI","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"K2ZBPVWRWVXI3SS4","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"K2ZBPVWR","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:283f774b04d26510864d80f2df859151a596e8a9ac7a2e0a25f84f4eb2f0f41d","target":"graph","created_at":"2026-05-18T00:34:16Z","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":"In this article, we present a galactic gravitational model of three degrees of freedom (3D), in order to study and reveal the character of the orbits of the stars, in a binary stellar system composed of a primary quiet or active galaxy and a small satellite companion galaxy. Our main dynamical analysis will be focused on the behavior of the primary galaxy. We investigate in detail the regular or chaotic nature of motion, in two different cases: (i) the time-independent model in both 2D and 3D dynamical systems and (ii) the time-evolving 3D model. Our numerical calculations indicate that the pe","authors_text":"Euaggelos E. Zotos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2013-03-04T22:25:13Z","title":"Revealing the character of orbits in a binary system consisting of a primary galaxy and a satellite companion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0881","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":"sha256:639c542d548d8cb256ba285ddb3af1cfdb137b353b1b85d979f520523b36093c","target":"record","created_at":"2026-05-18T00:34:16Z","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":"4cfcb52a34083e1060975d8b067892d7a3be753320f33fc3bc2ef8ef5a164cfe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2013-03-04T22:25:13Z","title_canon_sha256":"24df132467e8d1b4fcfd15a6fd213e1490c36a0f68860390be754357eb016b09"},"schema_version":"1.0","source":{"id":"1303.0881","kind":"arxiv","version":2}},"canonical_sha256":"56b217d6d1b56e8dca5c128cd20437c899c3d015d3e5de0a8070b1e1d2a40422","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56b217d6d1b56e8dca5c128cd20437c899c3d015d3e5de0a8070b1e1d2a40422","first_computed_at":"2026-05-18T00:34:16.405291Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:34:16.405291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZlhH0+khJ7hLMitWxCe47SZ0nqWungTC5hIDgoq872SjiWB4BnsppIoVmSJqQHxFMZnQQHxyjyg0AcPV/AOCCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:34:16.405971Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.0881","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:639c542d548d8cb256ba285ddb3af1cfdb137b353b1b85d979f520523b36093c","sha256:283f774b04d26510864d80f2df859151a596e8a9ac7a2e0a25f84f4eb2f0f41d"],"state_sha256":"e0486258897a4ff04199dcf0b1d657dba2556531f0156b2fe024605d45399fc8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5qzxkD76cH/DzvyM5hA5vwvppz4y0FClFxkVxBRDcqWor+HgQ79LFZySarGAUX/HGwdd4eCDUSevksd1T+jhCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T12:25:57.811170Z","bundle_sha256":"4ce302438210a57f4572ace716c95f95d33422e7e86818aa022222aeb948115f"}}