{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:GDGN5RD53CCSVEM3L7MKVDZCXA","short_pith_number":"pith:GDGN5RD5","schema_version":"1.0","canonical_sha256":"30ccdec47dd8852a919b5fd8aa8f22b839175f32db15260dc28a97bf206b419d","source":{"kind":"arxiv","id":"1206.5804","version":3},"attestation_state":"computed","paper":{"title":"Kinetic Theory of Collisionless Self-Gravitating Gases: II. Relativistic Corrections in Galactic Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA"],"primary_cat":"gr-qc","authors_text":"C. A. Ag\\'on, J. F. Pedraza, J. Ramos-Caro","submitted_at":"2012-06-25T20:00:03Z","abstract_excerpt":"In this paper we study the kinetic theory of many-particle astrophysical systems imposing axial symmetry and extending our previous analysis in Phys. Rev. D 83, 123007 (2011). Starting from a Newtonian model describing a collisionless self-gravitating gas, we develop a framework to include systematically the first general relativistic corrections to the matter distribution and gravitational potentials for general stationary systems. Then, we use our method to obtain particular solutions for the case of the Morgan & Morgan disks. The models obtained are fully analytical and correspond to the po"},"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":"1206.5804","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-06-25T20:00:03Z","cross_cats_sorted":["astro-ph.GA"],"title_canon_sha256":"ca23511ad5894a2430f65b5d69e1f6b4d1f7de5a610de4d933a2299ea90b656b","abstract_canon_sha256":"6d00fa4d64089cb60cc58c4405314f0ea32b461964e2e26976d34c9b3fc1e542"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:48:14.595768Z","signature_b64":"9oZL7Cexcn5adnKGfCL4qwxbm49DuPR+Hg2UuBVq88VkZP0So7C9IOyBWKhHLD1RQEYPdGLRf8HJ9HBKP0xXAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30ccdec47dd8852a919b5fd8aa8f22b839175f32db15260dc28a97bf206b419d","last_reissued_at":"2026-05-18T03:48:14.595171Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:48:14.595171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kinetic Theory of Collisionless Self-Gravitating Gases: II. Relativistic Corrections in Galactic Dynamics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA"],"primary_cat":"gr-qc","authors_text":"C. A. Ag\\'on, J. F. Pedraza, J. Ramos-Caro","submitted_at":"2012-06-25T20:00:03Z","abstract_excerpt":"In this paper we study the kinetic theory of many-particle astrophysical systems imposing axial symmetry and extending our previous analysis in Phys. Rev. D 83, 123007 (2011). Starting from a Newtonian model describing a collisionless self-gravitating gas, we develop a framework to include systematically the first general relativistic corrections to the matter distribution and gravitational potentials for general stationary systems. Then, we use our method to obtain particular solutions for the case of the Morgan & Morgan disks. The models obtained are fully analytical and correspond to the po"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5804","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":"1206.5804","created_at":"2026-05-18T03:48:14.595273+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.5804v3","created_at":"2026-05-18T03:48:14.595273+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5804","created_at":"2026-05-18T03:48:14.595273+00:00"},{"alias_kind":"pith_short_12","alias_value":"GDGN5RD53CCS","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"GDGN5RD53CCSVEM3","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"GDGN5RD5","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/GDGN5RD53CCSVEM3L7MKVDZCXA","json":"https://pith.science/pith/GDGN5RD53CCSVEM3L7MKVDZCXA.json","graph_json":"https://pith.science/api/pith-number/GDGN5RD53CCSVEM3L7MKVDZCXA/graph.json","events_json":"https://pith.science/api/pith-number/GDGN5RD53CCSVEM3L7MKVDZCXA/events.json","paper":"https://pith.science/paper/GDGN5RD5"},"agent_actions":{"view_html":"https://pith.science/pith/GDGN5RD53CCSVEM3L7MKVDZCXA","download_json":"https://pith.science/pith/GDGN5RD53CCSVEM3L7MKVDZCXA.json","view_paper":"https://pith.science/paper/GDGN5RD5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.5804&json=true","fetch_graph":"https://pith.science/api/pith-number/GDGN5RD53CCSVEM3L7MKVDZCXA/graph.json","fetch_events":"https://pith.science/api/pith-number/GDGN5RD53CCSVEM3L7MKVDZCXA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GDGN5RD53CCSVEM3L7MKVDZCXA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GDGN5RD53CCSVEM3L7MKVDZCXA/action/storage_attestation","attest_author":"https://pith.science/pith/GDGN5RD53CCSVEM3L7MKVDZCXA/action/author_attestation","sign_citation":"https://pith.science/pith/GDGN5RD53CCSVEM3L7MKVDZCXA/action/citation_signature","submit_replication":"https://pith.science/pith/GDGN5RD53CCSVEM3L7MKVDZCXA/action/replication_record"}},"created_at":"2026-05-18T03:48:14.595273+00:00","updated_at":"2026-05-18T03:48:14.595273+00:00"}