{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:A5LXRSHKHN4PV63AC4HJCYQAMW","short_pith_number":"pith:A5LXRSHK","schema_version":"1.0","canonical_sha256":"075778c8ea3b78fafb60170e91620065a129bf85d7243c7689781d660dc5219f","source":{"kind":"arxiv","id":"0904.1140","version":1},"attestation_state":"computed","paper":{"title":"Potential-density pairs and vertical tilt of the stellar velocity ellipsoid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"O. Bienaym\\'e","submitted_at":"2009-04-07T13:23:16Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0904.1140","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2009-04-07T13:23:16Z","cross_cats_sorted":[],"title_canon_sha256":"b42ef9d682d2800db3ee5651d1399c5da49dd24ef130d370c14a895cf29390c0","abstract_canon_sha256":"2d7a3d9b5c6c0f196ba09bd1ac60aa2e1880ab4b1e5ec7fda2414fa10b1c791b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:07.048338Z","signature_b64":"PE1hvVHI8/CbTZ0aaHoAFtOzp70sNMVUE43NFUVPVJLoVygBO12rAzebzmXv0jgub3HYi9fqp37l0p0zHx83AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"075778c8ea3b78fafb60170e91620065a129bf85d7243c7689781d660dc5219f","last_reissued_at":"2026-05-18T02:14:07.047700Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:07.047700Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Potential-density pairs and vertical tilt of the stellar velocity ellipsoid","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"O. Bienaym\\'e","submitted_at":"2009-04-07T13:23:16Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.1140","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"0904.1140","created_at":"2026-05-18T02:14:07.047792+00:00"},{"alias_kind":"arxiv_version","alias_value":"0904.1140v1","created_at":"2026-05-18T02:14:07.047792+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.1140","created_at":"2026-05-18T02:14:07.047792+00:00"},{"alias_kind":"pith_short_12","alias_value":"A5LXRSHKHN4P","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_16","alias_value":"A5LXRSHKHN4PV63A","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_8","alias_value":"A5LXRSHK","created_at":"2026-05-18T12:25:58.837520+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/A5LXRSHKHN4PV63AC4HJCYQAMW","json":"https://pith.science/pith/A5LXRSHKHN4PV63AC4HJCYQAMW.json","graph_json":"https://pith.science/api/pith-number/A5LXRSHKHN4PV63AC4HJCYQAMW/graph.json","events_json":"https://pith.science/api/pith-number/A5LXRSHKHN4PV63AC4HJCYQAMW/events.json","paper":"https://pith.science/paper/A5LXRSHK"},"agent_actions":{"view_html":"https://pith.science/pith/A5LXRSHKHN4PV63AC4HJCYQAMW","download_json":"https://pith.science/pith/A5LXRSHKHN4PV63AC4HJCYQAMW.json","view_paper":"https://pith.science/paper/A5LXRSHK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0904.1140&json=true","fetch_graph":"https://pith.science/api/pith-number/A5LXRSHKHN4PV63AC4HJCYQAMW/graph.json","fetch_events":"https://pith.science/api/pith-number/A5LXRSHKHN4PV63AC4HJCYQAMW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A5LXRSHKHN4PV63AC4HJCYQAMW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A5LXRSHKHN4PV63AC4HJCYQAMW/action/storage_attestation","attest_author":"https://pith.science/pith/A5LXRSHKHN4PV63AC4HJCYQAMW/action/author_attestation","sign_citation":"https://pith.science/pith/A5LXRSHKHN4PV63AC4HJCYQAMW/action/citation_signature","submit_replication":"https://pith.science/pith/A5LXRSHKHN4PV63AC4HJCYQAMW/action/replication_record"}},"created_at":"2026-05-18T02:14:07.047792+00:00","updated_at":"2026-05-18T02:14:07.047792+00:00"}