{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:U7O5EFNS7MWRDPBOU4OZ6OB4LX","short_pith_number":"pith:U7O5EFNS","schema_version":"1.0","canonical_sha256":"a7ddd215b2fb2d11bc2ea71d9f383c5ddb15190152fa3dfd40669644786a8419","source":{"kind":"arxiv","id":"1503.05102","version":1},"attestation_state":"computed","paper":{"title":"Homoclinic accretion solutions in the Schwarzschild-anti-de Sitter spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Patryk Mach","submitted_at":"2015-03-17T15:52:08Z","abstract_excerpt":"The aim of this paper is to clarify the distinction between homoclinic and standard (global) Bondi-type accretion solutions in the Schwarzschild-anti-de Sitter spacetime. The homoclinic solutions have recently been discovered numerically for polytropic equations of state. Here I show that they exist also for certain isothermal (linear) equations of state, and an analytic solution of this type is obtained. It is argued that the existence of such solutions is generic, although for sufficiently relativistic matter models (photon gas, ultra-hard equation of state) there exist global solutions that"},"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":"1503.05102","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-03-17T15:52:08Z","cross_cats_sorted":[],"title_canon_sha256":"ed88782a339792d298320815ad15d61be56ce54fa170b0c53479cbd9c2e25651","abstract_canon_sha256":"e8ca59b696dfb603112adec9e811df2f4cc72bfe42a5416061c8f889b2c51134"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:50.466738Z","signature_b64":"GrSJ62APFnkM5q2z3JoiUsrpEZ9wVrlsyqU1G9z0REey9WtBIcmzrHczmGUZ0LAKDxVJ7E6mYlBPT+V8dHQJCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7ddd215b2fb2d11bc2ea71d9f383c5ddb15190152fa3dfd40669644786a8419","last_reissued_at":"2026-05-18T01:40:50.466174Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:50.466174Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Homoclinic accretion solutions in the Schwarzschild-anti-de Sitter spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Patryk Mach","submitted_at":"2015-03-17T15:52:08Z","abstract_excerpt":"The aim of this paper is to clarify the distinction between homoclinic and standard (global) Bondi-type accretion solutions in the Schwarzschild-anti-de Sitter spacetime. The homoclinic solutions have recently been discovered numerically for polytropic equations of state. Here I show that they exist also for certain isothermal (linear) equations of state, and an analytic solution of this type is obtained. It is argued that the existence of such solutions is generic, although for sufficiently relativistic matter models (photon gas, ultra-hard equation of state) there exist global solutions that"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1503.05102","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":"1503.05102","created_at":"2026-05-18T01:40:50.466261+00:00"},{"alias_kind":"arxiv_version","alias_value":"1503.05102v1","created_at":"2026-05-18T01:40:50.466261+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1503.05102","created_at":"2026-05-18T01:40:50.466261+00:00"},{"alias_kind":"pith_short_12","alias_value":"U7O5EFNS7MWR","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_16","alias_value":"U7O5EFNS7MWRDPBO","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_8","alias_value":"U7O5EFNS","created_at":"2026-05-18T12:29:44.643036+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/U7O5EFNS7MWRDPBOU4OZ6OB4LX","json":"https://pith.science/pith/U7O5EFNS7MWRDPBOU4OZ6OB4LX.json","graph_json":"https://pith.science/api/pith-number/U7O5EFNS7MWRDPBOU4OZ6OB4LX/graph.json","events_json":"https://pith.science/api/pith-number/U7O5EFNS7MWRDPBOU4OZ6OB4LX/events.json","paper":"https://pith.science/paper/U7O5EFNS"},"agent_actions":{"view_html":"https://pith.science/pith/U7O5EFNS7MWRDPBOU4OZ6OB4LX","download_json":"https://pith.science/pith/U7O5EFNS7MWRDPBOU4OZ6OB4LX.json","view_paper":"https://pith.science/paper/U7O5EFNS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1503.05102&json=true","fetch_graph":"https://pith.science/api/pith-number/U7O5EFNS7MWRDPBOU4OZ6OB4LX/graph.json","fetch_events":"https://pith.science/api/pith-number/U7O5EFNS7MWRDPBOU4OZ6OB4LX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/U7O5EFNS7MWRDPBOU4OZ6OB4LX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/U7O5EFNS7MWRDPBOU4OZ6OB4LX/action/storage_attestation","attest_author":"https://pith.science/pith/U7O5EFNS7MWRDPBOU4OZ6OB4LX/action/author_attestation","sign_citation":"https://pith.science/pith/U7O5EFNS7MWRDPBOU4OZ6OB4LX/action/citation_signature","submit_replication":"https://pith.science/pith/U7O5EFNS7MWRDPBOU4OZ6OB4LX/action/replication_record"}},"created_at":"2026-05-18T01:40:50.466261+00:00","updated_at":"2026-05-18T01:40:50.466261+00:00"}