{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2006:ZBW6UJT5L4TEJZ52IWJSWT2Q5V","short_pith_number":"pith:ZBW6UJT5","schema_version":"1.0","canonical_sha256":"c86dea267d5f2644e7ba45932b4f50ed68f9c463fe055e4eee059a8e624d8730","source":{"kind":"arxiv","id":"gr-qc/0611146","version":2},"attestation_state":"computed","paper":{"title":"Massive scalar field quasinormal modes of a Schwarzschild black hole surrounded by quintessence","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Chunrui Ma, Fujun Wang, Wei Wang, Yuanxing Gui","submitted_at":"2006-11-28T12:52:32Z","abstract_excerpt":"We present the quasinormal frequencies of the massive scalar field in the background of a Schwarzchild black hole surrounded by quintessence with the third-order WKB method. The mass of the scalar field $u$ plays an important role in studying the quasinormal frequencies, the real part of the frequencies increases linearly as mass $u$ increases, while the imaginary part in absolute value decreases linearly which leads to damping more slowly and the frequencies having a limited value. Moreover, owing to the presence of the quintessence, the massive scalar field damps more slowly."},"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":"gr-qc/0611146","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"2006-11-28T12:52:32Z","cross_cats_sorted":[],"title_canon_sha256":"e484655214a3876822ba1833b14ec3e3cd6755cf8b7192c8c8e353319859eff1","abstract_canon_sha256":"cad9bf05dfc553f2fc9ff8ef8214ac1be890c112c7c842be2c86e679cc1a8188"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:19.988704Z","signature_b64":"QoqD4maV0sCPuzN9FeJ7WVowAj82E2glWK2tOSh91P0dSzvt/qYRG8DLQPEMIZHsWfUQ3gVnLtexyy8t8PFuBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c86dea267d5f2644e7ba45932b4f50ed68f9c463fe055e4eee059a8e624d8730","last_reissued_at":"2026-05-18T01:39:19.987945Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:19.987945Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Massive scalar field quasinormal modes of a Schwarzschild black hole surrounded by quintessence","license":"","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Chunrui Ma, Fujun Wang, Wei Wang, Yuanxing Gui","submitted_at":"2006-11-28T12:52:32Z","abstract_excerpt":"We present the quasinormal frequencies of the massive scalar field in the background of a Schwarzchild black hole surrounded by quintessence with the third-order WKB method. The mass of the scalar field $u$ plays an important role in studying the quasinormal frequencies, the real part of the frequencies increases linearly as mass $u$ increases, while the imaginary part in absolute value decreases linearly which leads to damping more slowly and the frequencies having a limited value. Moreover, owing to the presence of the quintessence, the massive scalar field damps more slowly."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0611146","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":"gr-qc/0611146","created_at":"2026-05-18T01:39:19.988064+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0611146v2","created_at":"2026-05-18T01:39:19.988064+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0611146","created_at":"2026-05-18T01:39:19.988064+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZBW6UJT5L4TE","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZBW6UJT5L4TEJZ52","created_at":"2026-05-18T12:25:54.717736+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZBW6UJT5","created_at":"2026-05-18T12:25:54.717736+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1102.4014","citing_title":"Quasinormal modes of black holes: from astrophysics to string theory","ref_index":114,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZBW6UJT5L4TEJZ52IWJSWT2Q5V","json":"https://pith.science/pith/ZBW6UJT5L4TEJZ52IWJSWT2Q5V.json","graph_json":"https://pith.science/api/pith-number/ZBW6UJT5L4TEJZ52IWJSWT2Q5V/graph.json","events_json":"https://pith.science/api/pith-number/ZBW6UJT5L4TEJZ52IWJSWT2Q5V/events.json","paper":"https://pith.science/paper/ZBW6UJT5"},"agent_actions":{"view_html":"https://pith.science/pith/ZBW6UJT5L4TEJZ52IWJSWT2Q5V","download_json":"https://pith.science/pith/ZBW6UJT5L4TEJZ52IWJSWT2Q5V.json","view_paper":"https://pith.science/paper/ZBW6UJT5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/0611146&json=true","fetch_graph":"https://pith.science/api/pith-number/ZBW6UJT5L4TEJZ52IWJSWT2Q5V/graph.json","fetch_events":"https://pith.science/api/pith-number/ZBW6UJT5L4TEJZ52IWJSWT2Q5V/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZBW6UJT5L4TEJZ52IWJSWT2Q5V/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZBW6UJT5L4TEJZ52IWJSWT2Q5V/action/storage_attestation","attest_author":"https://pith.science/pith/ZBW6UJT5L4TEJZ52IWJSWT2Q5V/action/author_attestation","sign_citation":"https://pith.science/pith/ZBW6UJT5L4TEJZ52IWJSWT2Q5V/action/citation_signature","submit_replication":"https://pith.science/pith/ZBW6UJT5L4TEJZ52IWJSWT2Q5V/action/replication_record"}},"created_at":"2026-05-18T01:39:19.988064+00:00","updated_at":"2026-05-18T01:39:19.988064+00:00"}