{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:GHPC6BEFGHC2XUDBPHAUYFOUQ7","short_pith_number":"pith:GHPC6BEF","schema_version":"1.0","canonical_sha256":"31de2f048531c5abd06179c14c15d487c394de62ca30c9231dd6eff3cd465daf","source":{"kind":"arxiv","id":"1002.4160","version":1},"attestation_state":"computed","paper":{"title":"The Quasar Accretion Disk Size -- Black Hole Mass Relation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"(2)Department of Astronomy, (3)Harvard-Smithsonian Center for Astrophysics), Christopher W. Morgan (1), C.S. Kochanek (2), Emilio E. Falco (3) ((1)Department of Physics, Nicholas D . Morgan (2), The Ohio State University, U.S. Naval Academy","submitted_at":"2010-02-22T17:51:45Z","abstract_excerpt":"We use the microlensing variability observed for eleven gravitationally lensed quasars to show that the accretion disk size at a rest-frame wavelength of 2500 Angstroms is related to the black hole mass by log(R_{2500}/cm)=(15.78\\pm0.12) + (0.80\\pm0.17)\\log(M_BH/10^9M_sun). This scaling is consistent with the expectation from thin disk theory (R ~ M_BH^{2/3}), but when interpreted in terms of the standard thin disk model (T ~ R^{-3/4}), it implies that black holes radiate with very low efficiency, log(eta) = -1.77\\pm0.29 + log(L/L_E) where eta=L/(Mdot*c^2). Only by making the maximum reasonabl"},"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":"1002.4160","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-02-22T17:51:45Z","cross_cats_sorted":[],"title_canon_sha256":"7539c72544b62c577bd5a59c9633d05aa537c73ebe2fca87abbcde453a2ead7a","abstract_canon_sha256":"fbc16056b6f960700b04c3f85d5d01d2c2d738d228a2a86eccbccb498ad886ef"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:42.322586Z","signature_b64":"mxzUDeSpHWBMOdNODjfDbmQ6KvWEuP+ZHOybC+wzXLJiyOuFqnUi/konLw7sIC7vfeew0uWRkAlx/lmE5d7KCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31de2f048531c5abd06179c14c15d487c394de62ca30c9231dd6eff3cd465daf","last_reissued_at":"2026-05-18T00:52:42.322120Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:42.322120Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Quasar Accretion Disk Size -- Black Hole Mass Relation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"(2)Department of Astronomy, (3)Harvard-Smithsonian Center for Astrophysics), Christopher W. Morgan (1), C.S. Kochanek (2), Emilio E. Falco (3) ((1)Department of Physics, Nicholas D . Morgan (2), The Ohio State University, U.S. Naval Academy","submitted_at":"2010-02-22T17:51:45Z","abstract_excerpt":"We use the microlensing variability observed for eleven gravitationally lensed quasars to show that the accretion disk size at a rest-frame wavelength of 2500 Angstroms is related to the black hole mass by log(R_{2500}/cm)=(15.78\\pm0.12) + (0.80\\pm0.17)\\log(M_BH/10^9M_sun). This scaling is consistent with the expectation from thin disk theory (R ~ M_BH^{2/3}), but when interpreted in terms of the standard thin disk model (T ~ R^{-3/4}), it implies that black holes radiate with very low efficiency, log(eta) = -1.77\\pm0.29 + log(L/L_E) where eta=L/(Mdot*c^2). Only by making the maximum reasonabl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.4160","kind":"arxiv","version":1},"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":"1002.4160","created_at":"2026-05-18T00:52:42.322197+00:00"},{"alias_kind":"arxiv_version","alias_value":"1002.4160v1","created_at":"2026-05-18T00:52:42.322197+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.4160","created_at":"2026-05-18T00:52:42.322197+00:00"},{"alias_kind":"pith_short_12","alias_value":"GHPC6BEFGHC2","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_16","alias_value":"GHPC6BEFGHC2XUDB","created_at":"2026-05-18T12:26:07.630475+00:00"},{"alias_kind":"pith_short_8","alias_value":"GHPC6BEF","created_at":"2026-05-18T12:26:07.630475+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/GHPC6BEFGHC2XUDBPHAUYFOUQ7","json":"https://pith.science/pith/GHPC6BEFGHC2XUDBPHAUYFOUQ7.json","graph_json":"https://pith.science/api/pith-number/GHPC6BEFGHC2XUDBPHAUYFOUQ7/graph.json","events_json":"https://pith.science/api/pith-number/GHPC6BEFGHC2XUDBPHAUYFOUQ7/events.json","paper":"https://pith.science/paper/GHPC6BEF"},"agent_actions":{"view_html":"https://pith.science/pith/GHPC6BEFGHC2XUDBPHAUYFOUQ7","download_json":"https://pith.science/pith/GHPC6BEFGHC2XUDBPHAUYFOUQ7.json","view_paper":"https://pith.science/paper/GHPC6BEF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1002.4160&json=true","fetch_graph":"https://pith.science/api/pith-number/GHPC6BEFGHC2XUDBPHAUYFOUQ7/graph.json","fetch_events":"https://pith.science/api/pith-number/GHPC6BEFGHC2XUDBPHAUYFOUQ7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GHPC6BEFGHC2XUDBPHAUYFOUQ7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GHPC6BEFGHC2XUDBPHAUYFOUQ7/action/storage_attestation","attest_author":"https://pith.science/pith/GHPC6BEFGHC2XUDBPHAUYFOUQ7/action/author_attestation","sign_citation":"https://pith.science/pith/GHPC6BEFGHC2XUDBPHAUYFOUQ7/action/citation_signature","submit_replication":"https://pith.science/pith/GHPC6BEFGHC2XUDBPHAUYFOUQ7/action/replication_record"}},"created_at":"2026-05-18T00:52:42.322197+00:00","updated_at":"2026-05-18T00:52:42.322197+00:00"}