{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:A4DPW6CTTI2JWU3ZQVNED4S3JB","short_pith_number":"pith:A4DPW6CT","canonical_record":{"source":{"id":"1105.4608","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2011-05-23T20:00:03Z","cross_cats_sorted":[],"title_canon_sha256":"a558df35700f3d24eb31ddb1049bc3c3609b6381a2571d0a670453f3f63afc28","abstract_canon_sha256":"76af2cd4808d173c1d1ec42b4b902708b1c94d535433b364dc15eb41331c3807"},"schema_version":"1.0"},"canonical_sha256":"0706fb78539a349b5379855a41f25b48450a1c49f4f733d9732feb5b3b68f324","source":{"kind":"arxiv","id":"1105.4608","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.4608","created_at":"2026-05-18T02:01:52Z"},{"alias_kind":"arxiv_version","alias_value":"1105.4608v1","created_at":"2026-05-18T02:01:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4608","created_at":"2026-05-18T02:01:52Z"},{"alias_kind":"pith_short_12","alias_value":"A4DPW6CTTI2J","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"A4DPW6CTTI2JWU3Z","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"A4DPW6CT","created_at":"2026-05-18T12:26:24Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:A4DPW6CTTI2JWU3ZQVNED4S3JB","target":"record","payload":{"canonical_record":{"source":{"id":"1105.4608","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2011-05-23T20:00:03Z","cross_cats_sorted":[],"title_canon_sha256":"a558df35700f3d24eb31ddb1049bc3c3609b6381a2571d0a670453f3f63afc28","abstract_canon_sha256":"76af2cd4808d173c1d1ec42b4b902708b1c94d535433b364dc15eb41331c3807"},"schema_version":"1.0"},"canonical_sha256":"0706fb78539a349b5379855a41f25b48450a1c49f4f733d9732feb5b3b68f324","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:52.276289Z","signature_b64":"xe6wJv9o4fbRmy7n2d14Lx47hDGLCumoK0powNOIQEpD6GO+stBE0Gur2IpwNjuI96hLGgL7U/VSorTRYMaMCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0706fb78539a349b5379855a41f25b48450a1c49f4f733d9732feb5b3b68f324","last_reissued_at":"2026-05-18T02:01:52.275502Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:52.275502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.4608","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":"2026-05-18T02:01:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8gpQrM8UAHFfnmXOwGzaLRz5Qx1eiI7jtsVRnPvcaFEuTzhVzLzZlHqBrf7qh1CISw0vW0Gx4gVUIoH+b6WNAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T08:08:50.906825Z"},"content_sha256":"1dd1eba4d048e882ed01b0d354f3b6c47fffd3eb2dde8a77074a00ac2411f0a9","schema_version":"1.0","event_id":"sha256:1dd1eba4d048e882ed01b0d354f3b6c47fffd3eb2dde8a77074a00ac2411f0a9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:A4DPW6CTTI2JWU3ZQVNED4S3JB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Secular theory of the orbital evolution of the young stellar disc in the Galactic Centre","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"David Vokrouhlicky, Jaroslav Haas, Ladislav Subr","submitted_at":"2011-05-23T20:00:03Z","abstract_excerpt":"We investigate the orbital evolution of a system of N mutually interacting stars on initially circular orbits around the dominating central mass. We include perturbative influence of a distant axisymmetric source and an extended spherical potential. In particular, we focus on the case when the secular evolution of orbital eccentricities is suppressed by the spherical perturbation. By means of standard perturbation methods, we derive semi-analytic formulae for the evolution of normal vectors of the individual orbits. We find its two qualitatively different modes. Either the orbits interact stro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4608","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":"2026-05-18T02:01:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"goZdhu9XQDiki1YdGgx5/ekFGYr3FsJaYsgemLXG6wR5yO2jXwmhAsxsHIlQYcAK9ftJjZGZkQ1womwwHqvlCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T08:08:50.907220Z"},"content_sha256":"365449c7ef778d878a320a449b5b40c31d38b438d5b0269d1c14e4705e915b89","schema_version":"1.0","event_id":"sha256:365449c7ef778d878a320a449b5b40c31d38b438d5b0269d1c14e4705e915b89"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/A4DPW6CTTI2JWU3ZQVNED4S3JB/bundle.json","state_url":"https://pith.science/pith/A4DPW6CTTI2JWU3ZQVNED4S3JB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/A4DPW6CTTI2JWU3ZQVNED4S3JB/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":"2026-06-26T08:08:50Z","links":{"resolver":"https://pith.science/pith/A4DPW6CTTI2JWU3ZQVNED4S3JB","bundle":"https://pith.science/pith/A4DPW6CTTI2JWU3ZQVNED4S3JB/bundle.json","state":"https://pith.science/pith/A4DPW6CTTI2JWU3ZQVNED4S3JB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/A4DPW6CTTI2JWU3ZQVNED4S3JB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:A4DPW6CTTI2JWU3ZQVNED4S3JB","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":"76af2cd4808d173c1d1ec42b4b902708b1c94d535433b364dc15eb41331c3807","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2011-05-23T20:00:03Z","title_canon_sha256":"a558df35700f3d24eb31ddb1049bc3c3609b6381a2571d0a670453f3f63afc28"},"schema_version":"1.0","source":{"id":"1105.4608","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.4608","created_at":"2026-05-18T02:01:52Z"},{"alias_kind":"arxiv_version","alias_value":"1105.4608v1","created_at":"2026-05-18T02:01:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.4608","created_at":"2026-05-18T02:01:52Z"},{"alias_kind":"pith_short_12","alias_value":"A4DPW6CTTI2J","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"A4DPW6CTTI2JWU3Z","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"A4DPW6CT","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:365449c7ef778d878a320a449b5b40c31d38b438d5b0269d1c14e4705e915b89","target":"graph","created_at":"2026-05-18T02:01:52Z","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 investigate the orbital evolution of a system of N mutually interacting stars on initially circular orbits around the dominating central mass. We include perturbative influence of a distant axisymmetric source and an extended spherical potential. In particular, we focus on the case when the secular evolution of orbital eccentricities is suppressed by the spherical perturbation. By means of standard perturbation methods, we derive semi-analytic formulae for the evolution of normal vectors of the individual orbits. We find its two qualitatively different modes. Either the orbits interact stro","authors_text":"David Vokrouhlicky, Jaroslav Haas, Ladislav Subr","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2011-05-23T20:00:03Z","title":"Secular theory of the orbital evolution of the young stellar disc in the Galactic Centre"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.4608","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":"sha256:1dd1eba4d048e882ed01b0d354f3b6c47fffd3eb2dde8a77074a00ac2411f0a9","target":"record","created_at":"2026-05-18T02:01:52Z","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":"76af2cd4808d173c1d1ec42b4b902708b1c94d535433b364dc15eb41331c3807","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2011-05-23T20:00:03Z","title_canon_sha256":"a558df35700f3d24eb31ddb1049bc3c3609b6381a2571d0a670453f3f63afc28"},"schema_version":"1.0","source":{"id":"1105.4608","kind":"arxiv","version":1}},"canonical_sha256":"0706fb78539a349b5379855a41f25b48450a1c49f4f733d9732feb5b3b68f324","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0706fb78539a349b5379855a41f25b48450a1c49f4f733d9732feb5b3b68f324","first_computed_at":"2026-05-18T02:01:52.275502Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:52.275502Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xe6wJv9o4fbRmy7n2d14Lx47hDGLCumoK0powNOIQEpD6GO+stBE0Gur2IpwNjuI96hLGgL7U/VSorTRYMaMCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:52.276289Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.4608","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1dd1eba4d048e882ed01b0d354f3b6c47fffd3eb2dde8a77074a00ac2411f0a9","sha256:365449c7ef778d878a320a449b5b40c31d38b438d5b0269d1c14e4705e915b89"],"state_sha256":"c1ec910624ad552eeb6d7bf4d45a7e12b48679312bfbcbf2dfe23657ecbb0cdf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BCYT4A8xAPA6BN7YMQNVEoCPO3JdFiShgMUfHfBiac82nNl9EWoF2NnYuyr91J2TXx5a6Z0nxSeWkG8jY/WZAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T08:08:50.909162Z","bundle_sha256":"3ec03bc1f424d0f08f77c629e95772c11e9915e31d79db0cecab4f458d12497b"}}