{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:A5LXRSHKHN4PV63AC4HJCYQAMW","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":"2d7a3d9b5c6c0f196ba09bd1ac60aa2e1880ab4b1e5ec7fda2414fa10b1c791b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2009-04-07T13:23:16Z","title_canon_sha256":"b42ef9d682d2800db3ee5651d1399c5da49dd24ef130d370c14a895cf29390c0"},"schema_version":"1.0","source":{"id":"0904.1140","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.1140","created_at":"2026-05-18T02:14:07Z"},{"alias_kind":"arxiv_version","alias_value":"0904.1140v1","created_at":"2026-05-18T02:14:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.1140","created_at":"2026-05-18T02:14:07Z"},{"alias_kind":"pith_short_12","alias_value":"A5LXRSHKHN4P","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"A5LXRSHKHN4PV63A","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"A5LXRSHK","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:d8002a7b9806cc92b5da9576fb7ed1c14046176bd6b49debcea099e0ea1ac0a9","target":"graph","created_at":"2026-05-18T02:14:07Z","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 define new potential-density pairs and examine the impact of the potential flattening on the vertical velocity ellipsoid tilt, $\\delta$. By means of numerical integrations and analytical calculations, we estimate $\\delta$ in a variety of galactic potentials. We show that at 1 kpc above the Galactic plane at the solar radius, $\\delta$ can differ by 5 degrees, depending on whether the dark matter halo is flat or spherical. This result excludes the possibility of an extremely flattened Galactic dark halo.","authors_text":"O. Bienaym\\'e","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2009-04-07T13:23:16Z","title":"Potential-density pairs and vertical tilt of the stellar velocity ellipsoid"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.1140","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":"sha256:09dd9ef908f0eb646b48dd72c0ba0a7605b08bbd040baffc962cea491ec96787","target":"record","created_at":"2026-05-18T02:14:07Z","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":"2d7a3d9b5c6c0f196ba09bd1ac60aa2e1880ab4b1e5ec7fda2414fa10b1c791b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2009-04-07T13:23:16Z","title_canon_sha256":"b42ef9d682d2800db3ee5651d1399c5da49dd24ef130d370c14a895cf29390c0"},"schema_version":"1.0","source":{"id":"0904.1140","kind":"arxiv","version":1}},"canonical_sha256":"075778c8ea3b78fafb60170e91620065a129bf85d7243c7689781d660dc5219f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"075778c8ea3b78fafb60170e91620065a129bf85d7243c7689781d660dc5219f","first_computed_at":"2026-05-18T02:14:07.047700Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:07.047700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PE1hvVHI8/CbTZ0aaHoAFtOzp70sNMVUE43NFUVPVJLoVygBO12rAzebzmXv0jgub3HYi9fqp37l0p0zHx83AA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:07.048338Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.1140","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:09dd9ef908f0eb646b48dd72c0ba0a7605b08bbd040baffc962cea491ec96787","sha256:d8002a7b9806cc92b5da9576fb7ed1c14046176bd6b49debcea099e0ea1ac0a9"],"state_sha256":"59b1c36587f6e8faa4f0b94b132c83c2f357a3c8e28e813d987289b2edd9b8d2"}