{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:IQB666ZXSSOTLD5SCGWC3HVH3P","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":"e37130cf01ab96332e54e0e54ddc36f76e2adaa87e4c087f7f0431e0feeb6eb7","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2012-04-30T17:47:17Z","title_canon_sha256":"7008a00c8401400f4c319234d8da091a3f80928ba03c94ee2a9ea2b8a963ef68"},"schema_version":"1.0","source":{"id":"1204.6713","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1204.6713","created_at":"2026-05-18T03:56:44Z"},{"alias_kind":"arxiv_version","alias_value":"1204.6713v1","created_at":"2026-05-18T03:56:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.6713","created_at":"2026-05-18T03:56:44Z"},{"alias_kind":"pith_short_12","alias_value":"IQB666ZXSSOT","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IQB666ZXSSOTLD5S","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IQB666ZX","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:a8b22093f676031688848acb73088cb0802db3528ca1cf34241fc74737c00584","target":"graph","created_at":"2026-05-18T03:56:44Z","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":"We use a composite gravitational galactic model consisting of a disk, a halo, a massive nucleus and a strong nuclear bar, in order to study the connections between global and local parameters in a realistic dynamical system. The local model is constructed from a two-dimensional perturbed harmonic oscillator and can be derived by expanding the global model in the vicinity of the central stable Lagrange equilibrium point. The frequencies of oscillations are not arbitrary, but they are connected with all the parameters involved with the global model. Moreover, the value of the local energy is als","authors_text":"Euaggelos E. Zotos","cross_cats":["nlin.CD"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2012-04-30T17:47:17Z","title":"Order and chaos in a galactic model with a strong nuclear bar"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.6713","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:e8be6f942da0df8f0d2d6a21c78cc273a8fac1ec928f2550a9a5c61de23a3ee1","target":"record","created_at":"2026-05-18T03:56:44Z","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":"e37130cf01ab96332e54e0e54ddc36f76e2adaa87e4c087f7f0431e0feeb6eb7","cross_cats_sorted":["nlin.CD"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2012-04-30T17:47:17Z","title_canon_sha256":"7008a00c8401400f4c319234d8da091a3f80928ba03c94ee2a9ea2b8a963ef68"},"schema_version":"1.0","source":{"id":"1204.6713","kind":"arxiv","version":1}},"canonical_sha256":"4403ef7b37949d358fb211ac2d9ea7dbf87516c745631b5c08e02a91f2a5a6bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4403ef7b37949d358fb211ac2d9ea7dbf87516c745631b5c08e02a91f2a5a6bb","first_computed_at":"2026-05-18T03:56:44.048234Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:56:44.048234Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BA4XFkxWq0btiZCFCeSR7JI/GqQ3p3jTxSl5oTrDzN2zQnovZWJTClD/td63t3Z61R16h6ydP5HBRwCgPbhCBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:56:44.048929Z","signed_message":"canonical_sha256_bytes"},"source_id":"1204.6713","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e8be6f942da0df8f0d2d6a21c78cc273a8fac1ec928f2550a9a5c61de23a3ee1","sha256:a8b22093f676031688848acb73088cb0802db3528ca1cf34241fc74737c00584"],"state_sha256":"aa4f6772901da98aa0f5fd7da1dfe775cc2cf897d6295fc4c9d12053b24df9db"}