{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:BPNHXJMQWBHJTDMB6ITA4KDWFC","short_pith_number":"pith:BPNHXJMQ","schema_version":"1.0","canonical_sha256":"0bda7ba590b04e998d81f2260e287628bce27a0e07aa68c8b28bdacdf025344f","source":{"kind":"arxiv","id":"0902.3899","version":2},"attestation_state":"computed","paper":{"title":"Black hole solutions in massive gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Michael V. Bebronne, Peter G. Tinyakov","submitted_at":"2009-02-23T12:49:39Z","abstract_excerpt":"The static vacuum spherically symmetric solutions in massive gravity are obtained both analytically and numerically. The solutions depend on two parameters (integration constants): the mass M (or, equivalently, the Schwarzschild radius), and an additional parameter, the \"scalar charge\" S. At zero value of S and positive mass the standard Schwarzschild black hole solutions are recovered. Depending on the parameters of the model and the signs of M and S, the solutions may or may not have horizon. Those with the horizon describe modified black holes provided they are stable against small perturba"},"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":"0902.3899","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-02-23T12:49:39Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"407ddc6a5fe2d9a195e8cf327ed15f7b53dbfc9980760e1bb239fe2b9d15205f","abstract_canon_sha256":"8947a4a4e4ee7b77ce7e23cdf5a4084951a4b0ca4bf3d0808b56246f5a70408f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:20:22.449836Z","signature_b64":"cwE5hmRcmtrEFwVDWJNURxH6402Pt0/0+sWw1QVOiEqQZ4//xFKMsjbsm4nic+xyTdrjenry8EFbxzb8ZNRADQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0bda7ba590b04e998d81f2260e287628bce27a0e07aa68c8b28bdacdf025344f","last_reissued_at":"2026-05-18T04:20:22.449298Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:20:22.449298Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Black hole solutions in massive gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Michael V. Bebronne, Peter G. Tinyakov","submitted_at":"2009-02-23T12:49:39Z","abstract_excerpt":"The static vacuum spherically symmetric solutions in massive gravity are obtained both analytically and numerically. The solutions depend on two parameters (integration constants): the mass M (or, equivalently, the Schwarzschild radius), and an additional parameter, the \"scalar charge\" S. At zero value of S and positive mass the standard Schwarzschild black hole solutions are recovered. Depending on the parameters of the model and the signs of M and S, the solutions may or may not have horizon. Those with the horizon describe modified black holes provided they are stable against small perturba"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.3899","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":"0902.3899","created_at":"2026-05-18T04:20:22.449387+00:00"},{"alias_kind":"arxiv_version","alias_value":"0902.3899v2","created_at":"2026-05-18T04:20:22.449387+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.3899","created_at":"2026-05-18T04:20:22.449387+00:00"},{"alias_kind":"pith_short_12","alias_value":"BPNHXJMQWBHJ","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_16","alias_value":"BPNHXJMQWBHJTDMB","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_8","alias_value":"BPNHXJMQ","created_at":"2026-05-18T12:25:58.837520+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/BPNHXJMQWBHJTDMB6ITA4KDWFC","json":"https://pith.science/pith/BPNHXJMQWBHJTDMB6ITA4KDWFC.json","graph_json":"https://pith.science/api/pith-number/BPNHXJMQWBHJTDMB6ITA4KDWFC/graph.json","events_json":"https://pith.science/api/pith-number/BPNHXJMQWBHJTDMB6ITA4KDWFC/events.json","paper":"https://pith.science/paper/BPNHXJMQ"},"agent_actions":{"view_html":"https://pith.science/pith/BPNHXJMQWBHJTDMB6ITA4KDWFC","download_json":"https://pith.science/pith/BPNHXJMQWBHJTDMB6ITA4KDWFC.json","view_paper":"https://pith.science/paper/BPNHXJMQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0902.3899&json=true","fetch_graph":"https://pith.science/api/pith-number/BPNHXJMQWBHJTDMB6ITA4KDWFC/graph.json","fetch_events":"https://pith.science/api/pith-number/BPNHXJMQWBHJTDMB6ITA4KDWFC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BPNHXJMQWBHJTDMB6ITA4KDWFC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BPNHXJMQWBHJTDMB6ITA4KDWFC/action/storage_attestation","attest_author":"https://pith.science/pith/BPNHXJMQWBHJTDMB6ITA4KDWFC/action/author_attestation","sign_citation":"https://pith.science/pith/BPNHXJMQWBHJTDMB6ITA4KDWFC/action/citation_signature","submit_replication":"https://pith.science/pith/BPNHXJMQWBHJTDMB6ITA4KDWFC/action/replication_record"}},"created_at":"2026-05-18T04:20:22.449387+00:00","updated_at":"2026-05-18T04:20:22.449387+00:00"}