{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1996:XJCRPYVVP4MK5BMIP3537FUVZG","short_pith_number":"pith:XJCRPYVV","schema_version":"1.0","canonical_sha256":"ba4517e2b57f18ae85887efbbf9695c990a75d665a7828a043b60ad9e35a189c","source":{"kind":"arxiv","id":"astro-ph/9611162","version":1},"attestation_state":"computed","paper":{"title":"Simple Three-Integral Scale-Free Galaxy Models","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"N.W. Evans (Oxford), P.T. de Zeeuw (Leiden), R.M. H\\\"afner (Oxford)","submitted_at":"1996-11-20T17:12:59Z","abstract_excerpt":"The Jeans equations give the second moments or stresses required to support a stellar population against the gravity field. A general solution of the Jeans equations for arbitrary axisymmetric scale-free densities in flattened scale-free potentials is given. A two-parameter subset of the solution for the second moments for the self-consistent density of the power-law models, which have exactly spheroidal equipotentials, is examined in detail. In the spherical limit, the potential of these models reduces to that of the singular power-law spheres. We build the physical three-integral distributio"},"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":"astro-ph/9611162","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1996-11-20T17:12:59Z","cross_cats_sorted":[],"title_canon_sha256":"629d389851d351bc93e049ef83f47844d46d3acd46635d2aaffec3d1773c1bb6","abstract_canon_sha256":"34b555cdcc6ae54cd145190a5a546ac763f499fae30a8d50c450c9418981f39d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:18.796197Z","signature_b64":"f9FQYwQ8YNDDgCbiQS1l8LxgAVzMYQPBW3cGnYLdy2aXH5fXFPJaOcP71gl2hPuLfKCeF1L3poPm9YGcku6LCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ba4517e2b57f18ae85887efbbf9695c990a75d665a7828a043b60ad9e35a189c","last_reissued_at":"2026-05-18T01:40:18.795426Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:18.795426Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Simple Three-Integral Scale-Free Galaxy Models","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"N.W. Evans (Oxford), P.T. de Zeeuw (Leiden), R.M. H\\\"afner (Oxford)","submitted_at":"1996-11-20T17:12:59Z","abstract_excerpt":"The Jeans equations give the second moments or stresses required to support a stellar population against the gravity field. A general solution of the Jeans equations for arbitrary axisymmetric scale-free densities in flattened scale-free potentials is given. A two-parameter subset of the solution for the second moments for the self-consistent density of the power-law models, which have exactly spheroidal equipotentials, is examined in detail. In the spherical limit, the potential of these models reduces to that of the singular power-law spheres. We build the physical three-integral distributio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9611162","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":"astro-ph/9611162","created_at":"2026-05-18T01:40:18.795576+00:00"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9611162v1","created_at":"2026-05-18T01:40:18.795576+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9611162","created_at":"2026-05-18T01:40:18.795576+00:00"},{"alias_kind":"pith_short_12","alias_value":"XJCRPYVVP4MK","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"XJCRPYVVP4MK5BMI","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"XJCRPYVV","created_at":"2026-05-18T12:25:48.327863+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/XJCRPYVVP4MK5BMIP3537FUVZG","json":"https://pith.science/pith/XJCRPYVVP4MK5BMIP3537FUVZG.json","graph_json":"https://pith.science/api/pith-number/XJCRPYVVP4MK5BMIP3537FUVZG/graph.json","events_json":"https://pith.science/api/pith-number/XJCRPYVVP4MK5BMIP3537FUVZG/events.json","paper":"https://pith.science/paper/XJCRPYVV"},"agent_actions":{"view_html":"https://pith.science/pith/XJCRPYVVP4MK5BMIP3537FUVZG","download_json":"https://pith.science/pith/XJCRPYVVP4MK5BMIP3537FUVZG.json","view_paper":"https://pith.science/paper/XJCRPYVV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=astro-ph/9611162&json=true","fetch_graph":"https://pith.science/api/pith-number/XJCRPYVVP4MK5BMIP3537FUVZG/graph.json","fetch_events":"https://pith.science/api/pith-number/XJCRPYVVP4MK5BMIP3537FUVZG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XJCRPYVVP4MK5BMIP3537FUVZG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XJCRPYVVP4MK5BMIP3537FUVZG/action/storage_attestation","attest_author":"https://pith.science/pith/XJCRPYVVP4MK5BMIP3537FUVZG/action/author_attestation","sign_citation":"https://pith.science/pith/XJCRPYVVP4MK5BMIP3537FUVZG/action/citation_signature","submit_replication":"https://pith.science/pith/XJCRPYVVP4MK5BMIP3537FUVZG/action/replication_record"}},"created_at":"2026-05-18T01:40:18.795576+00:00","updated_at":"2026-05-18T01:40:18.795576+00:00"}