{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:VGHUDLUW6KEKLCYW6MGVCNPMJW","short_pith_number":"pith:VGHUDLUW","schema_version":"1.0","canonical_sha256":"a98f41ae96f288a58b16f30d5135ec4d80ca77bfe1208dd29cb532d03ddb7e4d","source":{"kind":"arxiv","id":"2603.24609","version":2},"attestation_state":"computed","paper":{"title":"Cosmological coupled black holes immersed in dark sector","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Black hole mass grows with the cosmic expansion through coupling to a dark sector halo.","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Chen-Hao Wu, Ya-Peng Hu, Yue Chu","submitted_at":"2026-03-23T07:21:20Z","abstract_excerpt":"Motivated by theoretical and observational developments of cosmological coupled black holes, we construct an exact analytical solution for a black hole immersed in an anisotropic dark sector background, adopting the framework established by [Cadoni et al., JCAP 03 (2024) 026]. By generalizing a static seed metric to a dynamical FLRW background, we derive a solution where the black hole mass co-evolves with the cosmic expansion. We then obtain the explicit form of the radius-dependent coupling exponent, revealing that the interaction is governed by the dark halo profile. Considering the ubiquit"},"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":true},"canonical_record":{"source":{"id":"2603.24609","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2026-03-23T07:21:20Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"15a21d5a53da2b119a4c6be05a30889546b38dcfd35e9910d10b108044a6c41a","abstract_canon_sha256":"268a69ce42b3492b27434d4d56ff9ae3e981a02c2a3435ad7aff921b04bda193"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-25T02:01:18.161274Z","signature_b64":"lh1XusAp6LfLAHyjgdHlDU72WEUS4TZOcDnVOk1N/XZwstoq1lglaa5twL1axSMnaeDkasb+Mv1zXDVRiVfQCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a98f41ae96f288a58b16f30d5135ec4d80ca77bfe1208dd29cb532d03ddb7e4d","last_reissued_at":"2026-05-25T02:01:18.160629Z","signature_status":"signed_v1","first_computed_at":"2026-05-25T02:01:18.160629Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cosmological coupled black holes immersed in dark sector","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"Black hole mass grows with the cosmic expansion through coupling to a dark sector halo.","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Chen-Hao Wu, Ya-Peng Hu, Yue Chu","submitted_at":"2026-03-23T07:21:20Z","abstract_excerpt":"Motivated by theoretical and observational developments of cosmological coupled black holes, we construct an exact analytical solution for a black hole immersed in an anisotropic dark sector background, adopting the framework established by [Cadoni et al., JCAP 03 (2024) 026]. By generalizing a static seed metric to a dynamical FLRW background, we derive a solution where the black hole mass co-evolves with the cosmic expansion. We then obtain the explicit form of the radius-dependent coupling exponent, revealing that the interaction is governed by the dark halo profile. Considering the ubiquit"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We derive a solution where the black hole mass co-evolves with the cosmic expansion... the interaction is governed by the dark halo profile.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The generalization of the static seed metric to a dynamical FLRW background preserves the form of the coupling while the dark sector remains an anisotropic fluid whose halo profile directly sets the radius-dependent exponent.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Exact solution for a black hole whose mass co-evolves with Hubble expansion via radius-dependent coupling to an anisotropic dark halo in FLRW spacetime.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Black hole mass grows with the cosmic expansion through coupling to a dark sector halo.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"9cba3200d78e0eaf488b5cd161f7c8839dc44abf910057315de21fcaf9dd2304"},"source":{"id":"2603.24609","kind":"arxiv","version":2},"verdict":{"id":"5c82c606-e413-4bd5-8519-3faf03ff62cf","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-15T01:06:17.767166Z","strongest_claim":"We derive a solution where the black hole mass co-evolves with the cosmic expansion... the interaction is governed by the dark halo profile.","one_line_summary":"Exact solution for a black hole whose mass co-evolves with Hubble expansion via radius-dependent coupling to an anisotropic dark halo in FLRW spacetime.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The generalization of the static seed metric to a dynamical FLRW background preserves the form of the coupling while the dark sector remains an anisotropic fluid whose halo profile directly sets the radius-dependent exponent.","pith_extraction_headline":"Black hole mass grows with the cosmic expansion through coupling to a dark sector halo."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2603.24609/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"8fe57952bf300502c36554951b0b574ece3b4be03ff2537c9bbfd6aaeafc376c"},"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":"2603.24609","created_at":"2026-05-25T02:01:18.160734+00:00"},{"alias_kind":"arxiv_version","alias_value":"2603.24609v2","created_at":"2026-05-25T02:01:18.160734+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.24609","created_at":"2026-05-25T02:01:18.160734+00:00"},{"alias_kind":"pith_short_12","alias_value":"VGHUDLUW6KEK","created_at":"2026-05-25T02:01:18.160734+00:00"},{"alias_kind":"pith_short_16","alias_value":"VGHUDLUW6KEKLCYW","created_at":"2026-05-25T02:01:18.160734+00:00"},{"alias_kind":"pith_short_8","alias_value":"VGHUDLUW","created_at":"2026-05-25T02:01:18.160734+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":2,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VGHUDLUW6KEKLCYW6MGVCNPMJW","json":"https://pith.science/pith/VGHUDLUW6KEKLCYW6MGVCNPMJW.json","graph_json":"https://pith.science/api/pith-number/VGHUDLUW6KEKLCYW6MGVCNPMJW/graph.json","events_json":"https://pith.science/api/pith-number/VGHUDLUW6KEKLCYW6MGVCNPMJW/events.json","paper":"https://pith.science/paper/VGHUDLUW"},"agent_actions":{"view_html":"https://pith.science/pith/VGHUDLUW6KEKLCYW6MGVCNPMJW","download_json":"https://pith.science/pith/VGHUDLUW6KEKLCYW6MGVCNPMJW.json","view_paper":"https://pith.science/paper/VGHUDLUW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2603.24609&json=true","fetch_graph":"https://pith.science/api/pith-number/VGHUDLUW6KEKLCYW6MGVCNPMJW/graph.json","fetch_events":"https://pith.science/api/pith-number/VGHUDLUW6KEKLCYW6MGVCNPMJW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VGHUDLUW6KEKLCYW6MGVCNPMJW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VGHUDLUW6KEKLCYW6MGVCNPMJW/action/storage_attestation","attest_author":"https://pith.science/pith/VGHUDLUW6KEKLCYW6MGVCNPMJW/action/author_attestation","sign_citation":"https://pith.science/pith/VGHUDLUW6KEKLCYW6MGVCNPMJW/action/citation_signature","submit_replication":"https://pith.science/pith/VGHUDLUW6KEKLCYW6MGVCNPMJW/action/replication_record"}},"created_at":"2026-05-25T02:01:18.160734+00:00","updated_at":"2026-05-25T02:01:18.160734+00:00"}