{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WDNVYG3UMFQW7S5V2U2Z7PT3TR","short_pith_number":"pith:WDNVYG3U","canonical_record":{"source":{"id":"1612.08852","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-12-28T10:52:21Z","cross_cats_sorted":[],"title_canon_sha256":"571d25fe0ebc12b268dd1f709caf6b46539b37352a9275e7ac9558a881a8cd55","abstract_canon_sha256":"4d0bab54ed9c18d5c81c3996e355154156c4d3918c0f4af68bb054cf70d00f5d"},"schema_version":"1.0"},"canonical_sha256":"b0db5c1b7461616fcbb5d5359fbe7b9c436116f8becf4f4b05ab5ecd6c9a887e","source":{"kind":"arxiv","id":"1612.08852","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08852","created_at":"2026-05-18T00:53:47Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08852v1","created_at":"2026-05-18T00:53:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08852","created_at":"2026-05-18T00:53:47Z"},{"alias_kind":"pith_short_12","alias_value":"WDNVYG3UMFQW","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WDNVYG3UMFQW7S5V","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WDNVYG3U","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WDNVYG3UMFQW7S5V2U2Z7PT3TR","target":"record","payload":{"canonical_record":{"source":{"id":"1612.08852","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-12-28T10:52:21Z","cross_cats_sorted":[],"title_canon_sha256":"571d25fe0ebc12b268dd1f709caf6b46539b37352a9275e7ac9558a881a8cd55","abstract_canon_sha256":"4d0bab54ed9c18d5c81c3996e355154156c4d3918c0f4af68bb054cf70d00f5d"},"schema_version":"1.0"},"canonical_sha256":"b0db5c1b7461616fcbb5d5359fbe7b9c436116f8becf4f4b05ab5ecd6c9a887e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:53:47.014306Z","signature_b64":"hw8vFADV03usaxzMSFjgSc3HVJa0jb2qp/eWFgYElZZSmogjTe33CqjDyiFVwDsMkIo+2Tfwi3maOQNEigJJAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0db5c1b7461616fcbb5d5359fbe7b9c436116f8becf4f4b05ab5ecd6c9a887e","last_reissued_at":"2026-05-18T00:53:47.013778Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:53:47.013778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.08852","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":"2026-05-18T00:53:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mMbeiQenlf7XMeQYRpy4NkVvaWzRjnrq32Pm91bY0Ocu7wYbkuHYt2UltBkUm4kubIs0/FYOU0JPokiF+Kk1Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:16:41.689164Z"},"content_sha256":"99eaa8b1b7aabea1a910d6d0346d0008f13295dcc6b7efd9e39823c5c5909491","schema_version":"1.0","event_id":"sha256:99eaa8b1b7aabea1a910d6d0346d0008f13295dcc6b7efd9e39823c5c5909491"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WDNVYG3UMFQW7S5V2U2Z7PT3TR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Orbital and escape dynamics in barred galaxies - II. The 3D system: Exploring the role of the normally hyperbolic invariant manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"Christof Jung, Euaggelos E. Zotos","submitted_at":"2016-12-28T10:52:21Z","abstract_excerpt":"A three degrees of freedom (3-dof) barred galaxy model composed of a spherically symmetric nucleus, a bar, a flat disc and a spherically symmetric dark matter halo is used for investigating the dynamics of the system. We use colour-coded plots to demonstrate how the value of the semi-major axis of the bar influences the regular or chaotic dynamics of the 3-dof system. For distinguishing between ordered and chaotic motion we use the Smaller ALingment Index (SALI) method, a fast yet very accurate tool. Undoubtedly, the most important elements of the dynamics are the normally hyperbolic invariant"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08852","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":"2026-05-18T00:53:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dqFA61ymzirXEc/4jP6f7k+MJ6utkmbW/Qw4H/X+FhBqGJddUJqjpk5ib4piySXHQDhkVAUT96n8x86zlML1AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T03:16:41.689526Z"},"content_sha256":"6dc494e0f1eee2d2108669fe55f405ff5e89aef399f91fd4df49eef36b7c8773","schema_version":"1.0","event_id":"sha256:6dc494e0f1eee2d2108669fe55f405ff5e89aef399f91fd4df49eef36b7c8773"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WDNVYG3UMFQW7S5V2U2Z7PT3TR/bundle.json","state_url":"https://pith.science/pith/WDNVYG3UMFQW7S5V2U2Z7PT3TR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WDNVYG3UMFQW7S5V2U2Z7PT3TR/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":"2026-05-28T03:16:41Z","links":{"resolver":"https://pith.science/pith/WDNVYG3UMFQW7S5V2U2Z7PT3TR","bundle":"https://pith.science/pith/WDNVYG3UMFQW7S5V2U2Z7PT3TR/bundle.json","state":"https://pith.science/pith/WDNVYG3UMFQW7S5V2U2Z7PT3TR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WDNVYG3UMFQW7S5V2U2Z7PT3TR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WDNVYG3UMFQW7S5V2U2Z7PT3TR","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":"4d0bab54ed9c18d5c81c3996e355154156c4d3918c0f4af68bb054cf70d00f5d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-12-28T10:52:21Z","title_canon_sha256":"571d25fe0ebc12b268dd1f709caf6b46539b37352a9275e7ac9558a881a8cd55"},"schema_version":"1.0","source":{"id":"1612.08852","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.08852","created_at":"2026-05-18T00:53:47Z"},{"alias_kind":"arxiv_version","alias_value":"1612.08852v1","created_at":"2026-05-18T00:53:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.08852","created_at":"2026-05-18T00:53:47Z"},{"alias_kind":"pith_short_12","alias_value":"WDNVYG3UMFQW","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"WDNVYG3UMFQW7S5V","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"WDNVYG3U","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:6dc494e0f1eee2d2108669fe55f405ff5e89aef399f91fd4df49eef36b7c8773","target":"graph","created_at":"2026-05-18T00:53:47Z","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":"A three degrees of freedom (3-dof) barred galaxy model composed of a spherically symmetric nucleus, a bar, a flat disc and a spherically symmetric dark matter halo is used for investigating the dynamics of the system. We use colour-coded plots to demonstrate how the value of the semi-major axis of the bar influences the regular or chaotic dynamics of the 3-dof system. For distinguishing between ordered and chaotic motion we use the Smaller ALingment Index (SALI) method, a fast yet very accurate tool. Undoubtedly, the most important elements of the dynamics are the normally hyperbolic invariant","authors_text":"Christof Jung, Euaggelos E. Zotos","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-12-28T10:52:21Z","title":"Orbital and escape dynamics in barred galaxies - II. The 3D system: Exploring the role of the normally hyperbolic invariant manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.08852","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":"sha256:99eaa8b1b7aabea1a910d6d0346d0008f13295dcc6b7efd9e39823c5c5909491","target":"record","created_at":"2026-05-18T00:53:47Z","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":"4d0bab54ed9c18d5c81c3996e355154156c4d3918c0f4af68bb054cf70d00f5d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-12-28T10:52:21Z","title_canon_sha256":"571d25fe0ebc12b268dd1f709caf6b46539b37352a9275e7ac9558a881a8cd55"},"schema_version":"1.0","source":{"id":"1612.08852","kind":"arxiv","version":1}},"canonical_sha256":"b0db5c1b7461616fcbb5d5359fbe7b9c436116f8becf4f4b05ab5ecd6c9a887e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b0db5c1b7461616fcbb5d5359fbe7b9c436116f8becf4f4b05ab5ecd6c9a887e","first_computed_at":"2026-05-18T00:53:47.013778Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:47.013778Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hw8vFADV03usaxzMSFjgSc3HVJa0jb2qp/eWFgYElZZSmogjTe33CqjDyiFVwDsMkIo+2Tfwi3maOQNEigJJAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:47.014306Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.08852","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99eaa8b1b7aabea1a910d6d0346d0008f13295dcc6b7efd9e39823c5c5909491","sha256:6dc494e0f1eee2d2108669fe55f405ff5e89aef399f91fd4df49eef36b7c8773"],"state_sha256":"6220e6ab168216ecc6bac422b4644a06109c1a9e3bad4fcd117c8d9bfe318087"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RJaKaV4/Ou1kbzfuIhMhpwzgoTeLzVpVg+fHPqsmpv5Uy8gH00/3OPnA5Y1XTV3VFpVLojWFepHOoYRqZyrAAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T03:16:41.691435Z","bundle_sha256":"b654e7a62da6c46430fc08463747f75ab81e88913615a2420f72c998148b7d59"}}