{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:XDBTJUBBLNTJBI7UIAX5A6GEHH","short_pith_number":"pith:XDBTJUBB","schema_version":"1.0","canonical_sha256":"b8c334d0215b6690a3f4402fd078c439cde7df819d6d808ff25e2069ac1a48ae","source":{"kind":"arxiv","id":"1211.4183","version":2},"attestation_state":"computed","paper":{"title":"Loop quantum Brans-Dicke cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Michal Artymowski, Xiangdong Zhang, Yongge Ma","submitted_at":"2012-11-18T02:02:06Z","abstract_excerpt":"The spatially flat and isotropic cosmological model of Brans-Dicke theory with coupling parameter $\\omega\\neq-3/2$ is quantized by the approach of loop quantum cosmology. An interesting feature of this model is that, although the Brans-Dicke scalar field is non-minimally coupled with curvature, it can still play the role of an emergent time variable. In the quantum theory, the classical differential equation which represents cosmological evolution is replaced by a quantum difference equation. The effective Hamiltonian and modified dynamical equations of loop quantum Brans-Dicke cosmology are a"},"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":"1211.4183","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-11-18T02:02:06Z","cross_cats_sorted":["astro-ph.CO"],"title_canon_sha256":"d6a26578c06a5e5481d2fa2a146d6ec6a99d62ca1a596fc02d4dfdf0a3db2646","abstract_canon_sha256":"8d1913311fc061ed6142ab36fb986530ee08949224a22d73411d0f967d4fe3e9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:28:05.390565Z","signature_b64":"ACxXi/C9P25NbShQgdx8L/2N3VDlWVpxf0aPyxPikSfpIeHv4lziXOEu/x1wisWxe5CxZz3TkDVKxu85iuN5Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8c334d0215b6690a3f4402fd078c439cde7df819d6d808ff25e2069ac1a48ae","last_reissued_at":"2026-05-18T03:28:05.389651Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:28:05.389651Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Loop quantum Brans-Dicke cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO"],"primary_cat":"gr-qc","authors_text":"Michal Artymowski, Xiangdong Zhang, Yongge Ma","submitted_at":"2012-11-18T02:02:06Z","abstract_excerpt":"The spatially flat and isotropic cosmological model of Brans-Dicke theory with coupling parameter $\\omega\\neq-3/2$ is quantized by the approach of loop quantum cosmology. An interesting feature of this model is that, although the Brans-Dicke scalar field is non-minimally coupled with curvature, it can still play the role of an emergent time variable. In the quantum theory, the classical differential equation which represents cosmological evolution is replaced by a quantum difference equation. The effective Hamiltonian and modified dynamical equations of loop quantum Brans-Dicke cosmology are a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4183","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":"1211.4183","created_at":"2026-05-18T03:28:05.389799+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.4183v2","created_at":"2026-05-18T03:28:05.389799+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4183","created_at":"2026-05-18T03:28:05.389799+00:00"},{"alias_kind":"pith_short_12","alias_value":"XDBTJUBBLNTJ","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_16","alias_value":"XDBTJUBBLNTJBI7U","created_at":"2026-05-18T12:27:27.928770+00:00"},{"alias_kind":"pith_short_8","alias_value":"XDBTJUBB","created_at":"2026-05-18T12:27:27.928770+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/XDBTJUBBLNTJBI7UIAX5A6GEHH","json":"https://pith.science/pith/XDBTJUBBLNTJBI7UIAX5A6GEHH.json","graph_json":"https://pith.science/api/pith-number/XDBTJUBBLNTJBI7UIAX5A6GEHH/graph.json","events_json":"https://pith.science/api/pith-number/XDBTJUBBLNTJBI7UIAX5A6GEHH/events.json","paper":"https://pith.science/paper/XDBTJUBB"},"agent_actions":{"view_html":"https://pith.science/pith/XDBTJUBBLNTJBI7UIAX5A6GEHH","download_json":"https://pith.science/pith/XDBTJUBBLNTJBI7UIAX5A6GEHH.json","view_paper":"https://pith.science/paper/XDBTJUBB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.4183&json=true","fetch_graph":"https://pith.science/api/pith-number/XDBTJUBBLNTJBI7UIAX5A6GEHH/graph.json","fetch_events":"https://pith.science/api/pith-number/XDBTJUBBLNTJBI7UIAX5A6GEHH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XDBTJUBBLNTJBI7UIAX5A6GEHH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XDBTJUBBLNTJBI7UIAX5A6GEHH/action/storage_attestation","attest_author":"https://pith.science/pith/XDBTJUBBLNTJBI7UIAX5A6GEHH/action/author_attestation","sign_citation":"https://pith.science/pith/XDBTJUBBLNTJBI7UIAX5A6GEHH/action/citation_signature","submit_replication":"https://pith.science/pith/XDBTJUBBLNTJBI7UIAX5A6GEHH/action/replication_record"}},"created_at":"2026-05-18T03:28:05.389799+00:00","updated_at":"2026-05-18T03:28:05.389799+00:00"}