{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:JIM6AG4DOPSRANKLC4ZZA2YWAZ","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":"ee3549c89ab5fe839687209357d567594b3f231df142b3a0b3879c51d6c470ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2019-12-15T11:40:31Z","title_canon_sha256":"b4e962958c38e685aa21e6dec1da7c610832fac131e78798623de066f9fc9f29"},"schema_version":"1.0","source":{"id":"1912.07023","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.07023","created_at":"2026-07-05T01:05:39Z"},{"alias_kind":"arxiv_version","alias_value":"1912.07023v1","created_at":"2026-07-05T01:05:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.07023","created_at":"2026-07-05T01:05:39Z"},{"alias_kind":"pith_short_12","alias_value":"JIM6AG4DOPSR","created_at":"2026-07-05T01:05:39Z"},{"alias_kind":"pith_short_16","alias_value":"JIM6AG4DOPSRANKL","created_at":"2026-07-05T01:05:39Z"},{"alias_kind":"pith_short_8","alias_value":"JIM6AG4D","created_at":"2026-07-05T01:05:39Z"}],"graph_snapshots":[{"event_id":"sha256:482cf8eded10390c77c8ad1dbc3064a89c7f0300a68c0871805fff7d387388c7","target":"graph","created_at":"2026-07-05T01:05:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1912.07023/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Torus mapping yields constants of motion for stars trapped at a resonance. Each such constant of motion yields a system of contours in velocity space at the Sun and neighbouring points. If Jeans' theorem applied to resonantly trapped orbits, the density of stars in velocity space would be equal at all intersections of any two contours. A quantitative measure of the violation of this principal is defined and used to assess various pattern speeds for a model of the bar recently fitted to observations of interstellar gas. Trapping at corotation of a bar with pattern speed in the range 33-36 /Gyr ","authors_text":"James Binney (Oxford University)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2019-12-15T11:40:31Z","title":"Trapped orbits and solar-neighbourhood kinematics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.07023","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":"sha256:4e61bbc3214ecb3fa6b388ba7fa22d060f4eaec572c42d75f073367949dddd76","target":"record","created_at":"2026-07-05T01:05:39Z","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":"ee3549c89ab5fe839687209357d567594b3f231df142b3a0b3879c51d6c470ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2019-12-15T11:40:31Z","title_canon_sha256":"b4e962958c38e685aa21e6dec1da7c610832fac131e78798623de066f9fc9f29"},"schema_version":"1.0","source":{"id":"1912.07023","kind":"arxiv","version":1}},"canonical_sha256":"4a19e01b8373e510354b1733906b16064891157e21dd02ab2b93099185517af2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4a19e01b8373e510354b1733906b16064891157e21dd02ab2b93099185517af2","first_computed_at":"2026-07-05T01:05:39.991303Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:05:39.991303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"i/kmYchaSxpsrK5Dk79qcqnexJy/SzZCHqtdgt/PlKtr4Lod4eQ8LzfxPyPIInwZHAJ6RDESB61djRFU+VhLCg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:05:39.991808Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.07023","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e61bbc3214ecb3fa6b388ba7fa22d060f4eaec572c42d75f073367949dddd76","sha256:482cf8eded10390c77c8ad1dbc3064a89c7f0300a68c0871805fff7d387388c7"],"state_sha256":"1c05754d4f5b06924b27a53755677aecc28bd911500285836e60f61bd0c96f85"}