{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:XDBTJUBBLNTJBI7UIAX5A6GEHH","short_pith_number":"pith:XDBTJUBB","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"},"canonical_sha256":"b8c334d0215b6690a3f4402fd078c439cde7df819d6d808ff25e2069ac1a48ae","source":{"kind":"arxiv","id":"1211.4183","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.4183","created_at":"2026-05-18T03:28:05Z"},{"alias_kind":"arxiv_version","alias_value":"1211.4183v2","created_at":"2026-05-18T03:28:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4183","created_at":"2026-05-18T03:28:05Z"},{"alias_kind":"pith_short_12","alias_value":"XDBTJUBBLNTJ","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XDBTJUBBLNTJBI7U","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XDBTJUBB","created_at":"2026-05-18T12:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:XDBTJUBBLNTJBI7UIAX5A6GEHH","target":"record","payload":{"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"},"canonical_sha256":"b8c334d0215b6690a3f4402fd078c439cde7df819d6d808ff25e2069ac1a48ae","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"},"source_kind":"arxiv","source_id":"1211.4183","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:28:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Hsu9KR5oqfGgDahsyjyWa7bP50pMrGzkX/AJEOfDy+bRgdSvt1iRFPCCNS6zxTVR4cSdfGG1MgjJfNw/bFiAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:26:30.249715Z"},"content_sha256":"5cfe5d7775adfd36fe4e9189f7092f37c5d6f351f5cded086692d5c58f543ba1","schema_version":"1.0","event_id":"sha256:5cfe5d7775adfd36fe4e9189f7092f37c5d6f351f5cded086692d5c58f543ba1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:XDBTJUBBLNTJBI7UIAX5A6GEHH","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:28:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jqPC6hnrN1T1HbMjUqy1fHlhAzK7MseQd+2KoIygtTn6y/t0AU7/z8N4g2KQv/DKQoriT/aYk92WFNA0ydKPCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:26:30.250054Z"},"content_sha256":"a61460ce1f5153d9f1b01597ea304b20acd718ede01acc0150c854b56a7dcd08","schema_version":"1.0","event_id":"sha256:a61460ce1f5153d9f1b01597ea304b20acd718ede01acc0150c854b56a7dcd08"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XDBTJUBBLNTJBI7UIAX5A6GEHH/bundle.json","state_url":"https://pith.science/pith/XDBTJUBBLNTJBI7UIAX5A6GEHH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XDBTJUBBLNTJBI7UIAX5A6GEHH/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-07T10:26:30Z","links":{"resolver":"https://pith.science/pith/XDBTJUBBLNTJBI7UIAX5A6GEHH","bundle":"https://pith.science/pith/XDBTJUBBLNTJBI7UIAX5A6GEHH/bundle.json","state":"https://pith.science/pith/XDBTJUBBLNTJBI7UIAX5A6GEHH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XDBTJUBBLNTJBI7UIAX5A6GEHH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:XDBTJUBBLNTJBI7UIAX5A6GEHH","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8d1913311fc061ed6142ab36fb986530ee08949224a22d73411d0f967d4fe3e9","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-11-18T02:02:06Z","title_canon_sha256":"d6a26578c06a5e5481d2fa2a146d6ec6a99d62ca1a596fc02d4dfdf0a3db2646"},"schema_version":"1.0","source":{"id":"1211.4183","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.4183","created_at":"2026-05-18T03:28:05Z"},{"alias_kind":"arxiv_version","alias_value":"1211.4183v2","created_at":"2026-05-18T03:28:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4183","created_at":"2026-05-18T03:28:05Z"},{"alias_kind":"pith_short_12","alias_value":"XDBTJUBBLNTJ","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"XDBTJUBBLNTJBI7U","created_at":"2026-05-18T12:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"XDBTJUBB","created_at":"2026-05-18T12:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:a61460ce1f5153d9f1b01597ea304b20acd718ede01acc0150c854b56a7dcd08","target":"graph","created_at":"2026-05-18T03:28:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"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","authors_text":"Michal Artymowski, Xiangdong Zhang, Yongge Ma","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-11-18T02:02:06Z","title":"Loop quantum Brans-Dicke cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4183","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:5cfe5d7775adfd36fe4e9189f7092f37c5d6f351f5cded086692d5c58f543ba1","target":"record","created_at":"2026-05-18T03:28:05Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8d1913311fc061ed6142ab36fb986530ee08949224a22d73411d0f967d4fe3e9","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-11-18T02:02:06Z","title_canon_sha256":"d6a26578c06a5e5481d2fa2a146d6ec6a99d62ca1a596fc02d4dfdf0a3db2646"},"schema_version":"1.0","source":{"id":"1211.4183","kind":"arxiv","version":2}},"canonical_sha256":"b8c334d0215b6690a3f4402fd078c439cde7df819d6d808ff25e2069ac1a48ae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8c334d0215b6690a3f4402fd078c439cde7df819d6d808ff25e2069ac1a48ae","first_computed_at":"2026-05-18T03:28:05.389651Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:28:05.389651Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ACxXi/C9P25NbShQgdx8L/2N3VDlWVpxf0aPyxPikSfpIeHv4lziXOEu/x1wisWxe5CxZz3TkDVKxu85iuN5Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:28:05.390565Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.4183","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5cfe5d7775adfd36fe4e9189f7092f37c5d6f351f5cded086692d5c58f543ba1","sha256:a61460ce1f5153d9f1b01597ea304b20acd718ede01acc0150c854b56a7dcd08"],"state_sha256":"16b493503e60738c8c1aa2e2352d57f8ba4eb0cb7cad516290c4040f00de818e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B1A4BSl5M/RijmIP+82e64H8TZHtr9lEKrP4hAS1LEsPQ+tFktgu21NU11jved+Kul+w8dukcQTNyF/3ynY7DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T10:26:30.252212Z","bundle_sha256":"9fd2168de139467becb6a4947de7ce8d50e764ee73576dc46dd8938970c322e5"}}