{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:UGJ2RNO64W743TRACF5ZAFXTST","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":"d6b14dc150f790bce9c1c4778465b42a034df1a5b80c05fcdfc0fd436b4900d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2015-08-06T09:03:39Z","title_canon_sha256":"e4ec6570fe440be3ca3934aaae3cb564f8f938152ba913a91f391429473ea854"},"schema_version":"1.0","source":{"id":"1508.01331","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.01331","created_at":"2026-05-18T00:43:18Z"},{"alias_kind":"arxiv_version","alias_value":"1508.01331v2","created_at":"2026-05-18T00:43:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.01331","created_at":"2026-05-18T00:43:18Z"},{"alias_kind":"pith_short_12","alias_value":"UGJ2RNO64W74","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"UGJ2RNO64W743TRA","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"UGJ2RNO6","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:707a62bc2b136ec89688fc2411b240926ac09547efb80220675feb885d50d9b6","target":"graph","created_at":"2026-05-18T00:43:18Z","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":"Polytropic transonic solutions of spherically symmetric and steady galactic winds in the gravitational potential of a dark matter halo (DMH) with a supermassive black hole (SMBH) are studied. The solutions are classified in terms of their topological features, and the gravitational potential of the SMBH adds a new branch to the transonic solutions generated by the gravity of the DMH. The topological types of the transonic solutions depend on the mass distribution, the amount of supplied energy, the polytropic index $\\gamma$, and the slope $\\alpha$ of the DMH mass distribution. When $\\alpha$ be","authors_text":"Asuka Igarashi, Masao Mori, Shin-ya Nitta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2015-08-06T09:03:39Z","title":"Polytropic transonic galactic outflows in a dark matter halo with a central black hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.01331","kind":"arxiv","version":2},"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":"sha256:2b83c7d51338770645de91235c6fddff625a846d3830334927c94f62b3dfb995","target":"record","created_at":"2026-05-18T00:43:18Z","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":"d6b14dc150f790bce9c1c4778465b42a034df1a5b80c05fcdfc0fd436b4900d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2015-08-06T09:03:39Z","title_canon_sha256":"e4ec6570fe440be3ca3934aaae3cb564f8f938152ba913a91f391429473ea854"},"schema_version":"1.0","source":{"id":"1508.01331","kind":"arxiv","version":2}},"canonical_sha256":"a193a8b5dee5bfcdce20117b9016f394dd4d0d7f30e1cb7a6d02e1c3e3a5189c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a193a8b5dee5bfcdce20117b9016f394dd4d0d7f30e1cb7a6d02e1c3e3a5189c","first_computed_at":"2026-05-18T00:43:18.812410Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:18.812410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wkD5/lhimOs0y+yeyhmiZ2ha67bMlTSXi0hOSn5jauZfD8ZRXNNiEFbv1NADD7DY0wqRgIm3glYM2SwqA+KoAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:18.813121Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.01331","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2b83c7d51338770645de91235c6fddff625a846d3830334927c94f62b3dfb995","sha256:707a62bc2b136ec89688fc2411b240926ac09547efb80220675feb885d50d9b6"],"state_sha256":"ef198666b408192cece667f3cafd55ec76f0656c0b7164046e47a6074713727f"}