{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:G5P2CBNBXJUSEBORX3XBK47BFE","short_pith_number":"pith:G5P2CBNB","schema_version":"1.0","canonical_sha256":"375fa105a1ba692205d1beee1573e1291b5edc25b79005f1df95533b91958b0c","source":{"kind":"arxiv","id":"1201.4345","version":3},"attestation_state":"computed","paper":{"title":"Virial Sequences for Thick Discs and Haloes: Flattening and Global Anisotropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"astro-ph.GA","authors_text":"A. Agnello (Cambridge), N. W. Evans (Cambridge)","submitted_at":"2012-01-20T17:19:51Z","abstract_excerpt":"The virial theorem prescribes the ratio of the globally-averaged equatorial to vertical velocity dispersion of a tracer population in spherical and flattened dark haloes. This gives sequences of physical models in the plane of global anisotropy and flattening. The tracer may have any density, though there are particularly simple results for power-laws and exponentials. We prove the flattening theorem: for a spheroidally stratified tracer density with axis ratio q in a dark density potential with axis ratio g, the ratio of globally averaged equatorial to vertical velocity dispersion depends onl"},"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":"1201.4345","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2012-01-20T17:19:51Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"b99589ab82464d648100a96b9c73972c301674a44b95ef20e4cb369f096a6db8","abstract_canon_sha256":"64cbabb4875f034921e0350df2389eff9182c9cc75d28bd21f480015e0b6e2fb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:44.253287Z","signature_b64":"k1kb+C2OKXS2pLkyVq2yV2VM76t7aJ3OnUPLIJuBrYecRbNlHLuomXMhhPb5gxIuk3VuV9gk+RhGY30fGEHeCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"375fa105a1ba692205d1beee1573e1291b5edc25b79005f1df95533b91958b0c","last_reissued_at":"2026-05-18T01:58:44.252616Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:44.252616Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Virial Sequences for Thick Discs and Haloes: Flattening and Global Anisotropy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"astro-ph.GA","authors_text":"A. Agnello (Cambridge), N. W. Evans (Cambridge)","submitted_at":"2012-01-20T17:19:51Z","abstract_excerpt":"The virial theorem prescribes the ratio of the globally-averaged equatorial to vertical velocity dispersion of a tracer population in spherical and flattened dark haloes. This gives sequences of physical models in the plane of global anisotropy and flattening. The tracer may have any density, though there are particularly simple results for power-laws and exponentials. We prove the flattening theorem: for a spheroidally stratified tracer density with axis ratio q in a dark density potential with axis ratio g, the ratio of globally averaged equatorial to vertical velocity dispersion depends onl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.4345","kind":"arxiv","version":3},"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":"1201.4345","created_at":"2026-05-18T01:58:44.252712+00:00"},{"alias_kind":"arxiv_version","alias_value":"1201.4345v3","created_at":"2026-05-18T01:58:44.252712+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.4345","created_at":"2026-05-18T01:58:44.252712+00:00"},{"alias_kind":"pith_short_12","alias_value":"G5P2CBNBXJUS","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"G5P2CBNBXJUSEBOR","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"G5P2CBNB","created_at":"2026-05-18T12:27:06.952714+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/G5P2CBNBXJUSEBORX3XBK47BFE","json":"https://pith.science/pith/G5P2CBNBXJUSEBORX3XBK47BFE.json","graph_json":"https://pith.science/api/pith-number/G5P2CBNBXJUSEBORX3XBK47BFE/graph.json","events_json":"https://pith.science/api/pith-number/G5P2CBNBXJUSEBORX3XBK47BFE/events.json","paper":"https://pith.science/paper/G5P2CBNB"},"agent_actions":{"view_html":"https://pith.science/pith/G5P2CBNBXJUSEBORX3XBK47BFE","download_json":"https://pith.science/pith/G5P2CBNBXJUSEBORX3XBK47BFE.json","view_paper":"https://pith.science/paper/G5P2CBNB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1201.4345&json=true","fetch_graph":"https://pith.science/api/pith-number/G5P2CBNBXJUSEBORX3XBK47BFE/graph.json","fetch_events":"https://pith.science/api/pith-number/G5P2CBNBXJUSEBORX3XBK47BFE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/G5P2CBNBXJUSEBORX3XBK47BFE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/G5P2CBNBXJUSEBORX3XBK47BFE/action/storage_attestation","attest_author":"https://pith.science/pith/G5P2CBNBXJUSEBORX3XBK47BFE/action/author_attestation","sign_citation":"https://pith.science/pith/G5P2CBNBXJUSEBORX3XBK47BFE/action/citation_signature","submit_replication":"https://pith.science/pith/G5P2CBNBXJUSEBORX3XBK47BFE/action/replication_record"}},"created_at":"2026-05-18T01:58:44.252712+00:00","updated_at":"2026-05-18T01:58:44.252712+00:00"}