{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EEFJRSH25TE7AQG6XWEKMKVURD","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":"c89927d793ae987abd0db232f5df12aac5445a57c74ce32d0a12c840a9dc9209","cross_cats_sorted":["astro-ph.CO","gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2026-05-27T20:19:49Z","title_canon_sha256":"d4d67ef5c74fcee8b7765bf2f8c9d13efb5e7ffa687553ff3ec797de148cfb5a"},"schema_version":"1.0","source":{"id":"2605.29069","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.29069","created_at":"2026-05-29T01:05:16Z"},{"alias_kind":"arxiv_version","alias_value":"2605.29069v1","created_at":"2026-05-29T01:05:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.29069","created_at":"2026-05-29T01:05:16Z"},{"alias_kind":"pith_short_12","alias_value":"EEFJRSH25TE7","created_at":"2026-05-29T01:05:16Z"},{"alias_kind":"pith_short_16","alias_value":"EEFJRSH25TE7AQG6","created_at":"2026-05-29T01:05:16Z"},{"alias_kind":"pith_short_8","alias_value":"EEFJRSH2","created_at":"2026-05-29T01:05:16Z"}],"graph_snapshots":[{"event_id":"sha256:1e1c1568921cfa8a5e6c36bb6dcea344b008e23cd33cdcfaf2b6f2bcd56111c3","target":"graph","created_at":"2026-05-29T01:05:16Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.29069/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present the construction of stationary solutions of Bose-Einstein condensate dark matter (BECDM) around a point-like gravitational source representing a black hole. The problem is formulated for general axisymmetric configurations, and we focus on two cases: the ground-state core solution and the first nonzero winding number configuration corresponding to a line vortex solution. The stationary equations are solved using an imaginary-time approach, which enables the construction of families of solutions across a wide range of self-interaction and black hole masses. We analyze the impact of t","authors_text":"Francisco S. Guzman, Ivan Alvarez-Rios","cross_cats":["astro-ph.CO","gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2026-05-27T20:19:49Z","title":"Equilibrium Core and Vortex Solutions of Bose Einstein Condensate Dark Matter around a Black Hole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.29069","kind":"arxiv","version":1},"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":"sha256:6b369fb11294ee947d22cab919ef877fc70b4ae03e86189c7e2e89c50a0b6bf1","target":"record","created_at":"2026-05-29T01:05:16Z","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":"c89927d793ae987abd0db232f5df12aac5445a57c74ce32d0a12c840a9dc9209","cross_cats_sorted":["astro-ph.CO","gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2026-05-27T20:19:49Z","title_canon_sha256":"d4d67ef5c74fcee8b7765bf2f8c9d13efb5e7ffa687553ff3ec797de148cfb5a"},"schema_version":"1.0","source":{"id":"2605.29069","kind":"arxiv","version":1}},"canonical_sha256":"210a98c8faecc9f040debd88a62ab488c64ce60c52931137d6d17bdfbac25e73","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"210a98c8faecc9f040debd88a62ab488c64ce60c52931137d6d17bdfbac25e73","first_computed_at":"2026-05-29T01:05:16.665896Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-29T01:05:16.665896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EYVKBZfbIU/ITl6OrugfYZBdxtUJZ/tZN/vFzoK7ti9udehlNsuTDP2nyTk1c+CBhh7s3y10LaDixML1eIeDAg==","signature_status":"signed_v1","signed_at":"2026-05-29T01:05:16.666747Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.29069","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6b369fb11294ee947d22cab919ef877fc70b4ae03e86189c7e2e89c50a0b6bf1","sha256:1e1c1568921cfa8a5e6c36bb6dcea344b008e23cd33cdcfaf2b6f2bcd56111c3"],"state_sha256":"4a608aeb38bfe68d2e16e6d2628791c87533538f8028d25e353f2a10094c0f4b"}