{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:D53VMPGCDVLNN4TSLO3OOIBS4C","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":"da7056097ca85d8de14df20cb216921197063c039a114a68901e30ba23dce011","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1996-08-20T16:28:39Z","title_canon_sha256":"b820af91f889304bdec33d09e51410c859ec71b97074065878a1f587cdd707b5"},"schema_version":"1.0","source":{"id":"astro-ph/9608127","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9608127","created_at":"2026-05-18T01:40:19Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9608127v1","created_at":"2026-05-18T01:40:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9608127","created_at":"2026-05-18T01:40:19Z"},{"alias_kind":"pith_short_12","alias_value":"D53VMPGCDVLN","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"D53VMPGCDVLNN4TS","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"D53VMPGC","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:8325a4927de93ecc2af4905f926d285f9734f005d09648429c2c33e0050efa50","target":"graph","created_at":"2026-05-18T01:40:19Z","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 shape of galaxies depends on their orbital populations. These populations change through capture into and escape from resonance. Capture problems fall into distinct cases depending upon the shape of the potential well. To visualise the effective potential well for orbital capture, a diagrammatic approach to the resonant perturbation theory of Born is presented. These diagrams we call equiaction sections. To illustrate their use, we present examples drawn from both galactic and Solar System dynamics. The probability of capture for generic shapes of the potential well is calculated. A number","authors_text":"J.L. Collett (Oxford), N.W. Evans (Oxford), S.N. Dutta (Ohio)","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1996-08-20T16:28:39Z","title":"The Capture and Escape of Stars"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9608127","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":"sha256:398ad200c6be3c5efd97a1eb691961c746d0df6770d809a05b6faa44266831d9","target":"record","created_at":"2026-05-18T01:40:19Z","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":"da7056097ca85d8de14df20cb216921197063c039a114a68901e30ba23dce011","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1996-08-20T16:28:39Z","title_canon_sha256":"b820af91f889304bdec33d09e51410c859ec71b97074065878a1f587cdd707b5"},"schema_version":"1.0","source":{"id":"astro-ph/9608127","kind":"arxiv","version":1}},"canonical_sha256":"1f77563cc21d56d6f2725bb6e72032e08b71b31560d386a1e55f96b46aaca47f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f77563cc21d56d6f2725bb6e72032e08b71b31560d386a1e55f96b46aaca47f","first_computed_at":"2026-05-18T01:40:19.555261Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:19.555261Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rB2fTVX2q+uYDImrNi7sZcBk7Sm57tTcIjujGK4fY3zt2G3A5alGmA8qHKuETxxAM1Iu1hql45ZZ81jAvs+bDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:19.555834Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9608127","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:398ad200c6be3c5efd97a1eb691961c746d0df6770d809a05b6faa44266831d9","sha256:8325a4927de93ecc2af4905f926d285f9734f005d09648429c2c33e0050efa50"],"state_sha256":"9cd2ddceccb79d96f2188743dbc9c2812cd14e6c9e84adfa6f8421c7d1fd36e1"}