{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:JFVO53BV7SVYR4F4OSVT7XYKTU","short_pith_number":"pith:JFVO53BV","schema_version":"1.0","canonical_sha256":"496aeeec35fcab88f0bc74ab3fdf0a9d0acb333935b5b75b2b1b4760c0185cbd","source":{"kind":"arxiv","id":"1608.08624","version":2},"attestation_state":"computed","paper":{"title":"Cosmological evolution of a complex scalar field with repulsive or attractive self-interaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Abril Su\\'arez, Pierre-Henri Chavanis","submitted_at":"2016-08-30T21:25:32Z","abstract_excerpt":"We study the cosmological evolution of a complex scalar field with a self-interaction potential $V(|\\varphi|^2)$, possibly describing self-gravitating Bose-Einstein condensates, using a fully general relativistic treatment. We generalize the hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field approximation developed in our previous paper. We establish the general equations governing the evolution of a spatially homogeneous complex scalar field in an expanding background. We show how they can be simplified in the fast oscillation regime and derive the equation o"},"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":"1608.08624","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-08-30T21:25:32Z","cross_cats_sorted":[],"title_canon_sha256":"12e007c65cee2fabba3a8c5f3b1c1f99a206bae6060f79718424fdc49c743f22","abstract_canon_sha256":"220d8c05059f4616fb50dcb33a393af3da8dde43f6ee70a4809135b7fea83c49"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:17.247747Z","signature_b64":"tO3lv8+NtixAXu2P+CzRUuWjbF3tUj/V6qFHOUI/01N2j9Fm9vtQBwyRQECPG4OfCF0vU9uZGf2ZEiXMVLZCDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"496aeeec35fcab88f0bc74ab3fdf0a9d0acb333935b5b75b2b1b4760c0185cbd","last_reissued_at":"2026-05-18T00:48:17.247098Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:17.247098Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cosmological evolution of a complex scalar field with repulsive or attractive self-interaction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Abril Su\\'arez, Pierre-Henri Chavanis","submitted_at":"2016-08-30T21:25:32Z","abstract_excerpt":"We study the cosmological evolution of a complex scalar field with a self-interaction potential $V(|\\varphi|^2)$, possibly describing self-gravitating Bose-Einstein condensates, using a fully general relativistic treatment. We generalize the hydrodynamic representation of the Klein-Gordon-Einstein equations in the weak field approximation developed in our previous paper. We establish the general equations governing the evolution of a spatially homogeneous complex scalar field in an expanding background. We show how they can be simplified in the fast oscillation regime and derive the equation o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1608.08624","kind":"arxiv","version":2},"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":"1608.08624","created_at":"2026-05-18T00:48:17.247195+00:00"},{"alias_kind":"arxiv_version","alias_value":"1608.08624v2","created_at":"2026-05-18T00:48:17.247195+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1608.08624","created_at":"2026-05-18T00:48:17.247195+00:00"},{"alias_kind":"pith_short_12","alias_value":"JFVO53BV7SVY","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_16","alias_value":"JFVO53BV7SVYR4F4","created_at":"2026-05-18T12:30:25.849896+00:00"},{"alias_kind":"pith_short_8","alias_value":"JFVO53BV","created_at":"2026-05-18T12:30:25.849896+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2603.06329","citing_title":"Effects of Self-Interaction and of an Ideal Gas in Binary Mergers of Bosonic Dark Matter Cores","ref_index":22,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JFVO53BV7SVYR4F4OSVT7XYKTU","json":"https://pith.science/pith/JFVO53BV7SVYR4F4OSVT7XYKTU.json","graph_json":"https://pith.science/api/pith-number/JFVO53BV7SVYR4F4OSVT7XYKTU/graph.json","events_json":"https://pith.science/api/pith-number/JFVO53BV7SVYR4F4OSVT7XYKTU/events.json","paper":"https://pith.science/paper/JFVO53BV"},"agent_actions":{"view_html":"https://pith.science/pith/JFVO53BV7SVYR4F4OSVT7XYKTU","download_json":"https://pith.science/pith/JFVO53BV7SVYR4F4OSVT7XYKTU.json","view_paper":"https://pith.science/paper/JFVO53BV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1608.08624&json=true","fetch_graph":"https://pith.science/api/pith-number/JFVO53BV7SVYR4F4OSVT7XYKTU/graph.json","fetch_events":"https://pith.science/api/pith-number/JFVO53BV7SVYR4F4OSVT7XYKTU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JFVO53BV7SVYR4F4OSVT7XYKTU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JFVO53BV7SVYR4F4OSVT7XYKTU/action/storage_attestation","attest_author":"https://pith.science/pith/JFVO53BV7SVYR4F4OSVT7XYKTU/action/author_attestation","sign_citation":"https://pith.science/pith/JFVO53BV7SVYR4F4OSVT7XYKTU/action/citation_signature","submit_replication":"https://pith.science/pith/JFVO53BV7SVYR4F4OSVT7XYKTU/action/replication_record"}},"created_at":"2026-05-18T00:48:17.247195+00:00","updated_at":"2026-05-18T00:48:17.247195+00:00"}