{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:VAXRQZNQYPJWWBNZLO5CJCBXHH","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":"afe3315399e8c75d5e818971bbd786a085f2d33a06d3d3408934a80347f3761e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-02-24T20:59:59Z","title_canon_sha256":"e1b0c53b31499fde544a05e2522aedbe3fc9026097377b5484ccc0a3ee037c23"},"schema_version":"1.0","source":{"id":"1502.06954","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06954","created_at":"2026-05-18T01:24:33Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06954v3","created_at":"2026-05-18T01:24:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06954","created_at":"2026-05-18T01:24:33Z"},{"alias_kind":"pith_short_12","alias_value":"VAXRQZNQYPJW","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"VAXRQZNQYPJWWBNZ","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"VAXRQZNQ","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:a75d2b17766f3b311f24a76a1c89e09942950890e070b335c8a6d4d9a23219f3","target":"graph","created_at":"2026-05-18T01:24:33Z","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":"We study the time evolution of a wave function for the spatially flat Friedmann-Lemaitre-Robertson-Walker universe governed by the Wheeler-DeWitt equation in both analytical and numerical methods. We consider a Brown-Kuchar dust as a matter field in order to introduce a \"clock\" in quantum cosmology and adopt the Laplace-Beltrami operator-ordering. The Hamiltonian operator admits an infinite number of self-adjoint extensions corresponding to a one-parameter family of boundary conditions at the origin in the minisuperspace. For any value of the extension parameter in the boundary condition, the ","authors_text":"Hideki Maeda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-02-24T20:59:59Z","title":"Unitary evolution of the quantum universe with a Brown-Kuchar dust"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06954","kind":"arxiv","version":3},"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":"sha256:1380adf3e7b0451df9698c28476fdebf4ac913c79a1a169e7846bab7a56de8cd","target":"record","created_at":"2026-05-18T01:24:33Z","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":"afe3315399e8c75d5e818971bbd786a085f2d33a06d3d3408934a80347f3761e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-02-24T20:59:59Z","title_canon_sha256":"e1b0c53b31499fde544a05e2522aedbe3fc9026097377b5484ccc0a3ee037c23"},"schema_version":"1.0","source":{"id":"1502.06954","kind":"arxiv","version":3}},"canonical_sha256":"a82f1865b0c3d36b05b95bba24883739f9686b13184fae48e79fdfce0b6ea76c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a82f1865b0c3d36b05b95bba24883739f9686b13184fae48e79fdfce0b6ea76c","first_computed_at":"2026-05-18T01:24:33.146707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:24:33.146707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dT1jOaqLg0GMRiRU2a4cVxDUuNcc9a8BcTpNrEajUUoH1AbXbZQ39jR3K3kwqaoxDIUT6fZDwDtuGTvdBEO7Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T01:24:33.147300Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.06954","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1380adf3e7b0451df9698c28476fdebf4ac913c79a1a169e7846bab7a56de8cd","sha256:a75d2b17766f3b311f24a76a1c89e09942950890e070b335c8a6d4d9a23219f3"],"state_sha256":"15c10a529cbdb786836659876147907fffa3b35c28d98015a74116d96828ca5b"}