{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1996:FLMXVHHKMIV4IJAKC3FBS6MBRG","short_pith_number":"pith:FLMXVHHK","schema_version":"1.0","canonical_sha256":"2ad97a9cea622bc4240a16ca19798189a34482f965b023724c0e21743b8291d6","source":{"kind":"arxiv","id":"gr-qc/9610012","version":3},"attestation_state":"computed","paper":{"title":"Two-Component Formulation of the Wheeler-DeWitt Equation","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Ali Mostafazadeh","submitted_at":"1996-10-09T20:06:44Z","abstract_excerpt":"The Wheeler-DeWitt equation for the minimally coupled FRW-massive-scalar-field minisuperspace is written as a two-component Schr\\\"odinger equation with an explicitly `time'-dependent Hamiltonian. This reduces the solution of the Wheeler-DeWitt equation to the eigenvalue problem for a non-relativistic one-dimensional harmonic oscillator and an infinite series of trivial algebraic equations whose iterative solution is easily found. The solution of these equations yields a mode expansion of the solution of the original Wheeler-DeWitt equation. Further analysis of the mode expansion shows that in "},"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":"gr-qc/9610012","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"gr-qc","submitted_at":"1996-10-09T20:06:44Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"abc7e87579e153d3dda805eeb9537e70e2705517630844e0c481f78173ca801b","abstract_canon_sha256":"da252f8a9bd968bcb49fe3800c92af71803eecb7172c39883e27ec7912e207b5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:01:18.772122Z","signature_b64":"KHsvLRK/MfPtveFwbVDcqLAkXFhBj1hJ/+VhEbNrKsB8OS+oym7JblpQvTs+rISXFI62i3tpOdj92R0/UhxbBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ad97a9cea622bc4240a16ca19798189a34482f965b023724c0e21743b8291d6","last_reissued_at":"2026-07-04T16:01:18.771695Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:01:18.771695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Two-Component Formulation of the Wheeler-DeWitt Equation","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"gr-qc","authors_text":"Ali Mostafazadeh","submitted_at":"1996-10-09T20:06:44Z","abstract_excerpt":"The Wheeler-DeWitt equation for the minimally coupled FRW-massive-scalar-field minisuperspace is written as a two-component Schr\\\"odinger equation with an explicitly `time'-dependent Hamiltonian. This reduces the solution of the Wheeler-DeWitt equation to the eigenvalue problem for a non-relativistic one-dimensional harmonic oscillator and an infinite series of trivial algebraic equations whose iterative solution is easily found. The solution of these equations yields a mode expansion of the solution of the original Wheeler-DeWitt equation. Further analysis of the mode expansion shows that in "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/9610012","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/gr-qc/9610012/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"gr-qc/9610012","created_at":"2026-07-04T16:01:18.771766+00:00"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/9610012v3","created_at":"2026-07-04T16:01:18.771766+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/9610012","created_at":"2026-07-04T16:01:18.771766+00:00"},{"alias_kind":"pith_short_12","alias_value":"FLMXVHHKMIV4","created_at":"2026-07-04T16:01:18.771766+00:00"},{"alias_kind":"pith_short_16","alias_value":"FLMXVHHKMIV4IJAK","created_at":"2026-07-04T16:01:18.771766+00:00"},{"alias_kind":"pith_short_8","alias_value":"FLMXVHHK","created_at":"2026-07-04T16:01:18.771766+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.09286","citing_title":"Equivalent Hamiltonian approach to quantum cosmology of integrable models","ref_index":12,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FLMXVHHKMIV4IJAKC3FBS6MBRG","json":"https://pith.science/pith/FLMXVHHKMIV4IJAKC3FBS6MBRG.json","graph_json":"https://pith.science/api/pith-number/FLMXVHHKMIV4IJAKC3FBS6MBRG/graph.json","events_json":"https://pith.science/api/pith-number/FLMXVHHKMIV4IJAKC3FBS6MBRG/events.json","paper":"https://pith.science/paper/FLMXVHHK"},"agent_actions":{"view_html":"https://pith.science/pith/FLMXVHHKMIV4IJAKC3FBS6MBRG","download_json":"https://pith.science/pith/FLMXVHHKMIV4IJAKC3FBS6MBRG.json","view_paper":"https://pith.science/paper/FLMXVHHK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=gr-qc/9610012&json=true","fetch_graph":"https://pith.science/api/pith-number/FLMXVHHKMIV4IJAKC3FBS6MBRG/graph.json","fetch_events":"https://pith.science/api/pith-number/FLMXVHHKMIV4IJAKC3FBS6MBRG/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FLMXVHHKMIV4IJAKC3FBS6MBRG/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FLMXVHHKMIV4IJAKC3FBS6MBRG/action/storage_attestation","attest_author":"https://pith.science/pith/FLMXVHHKMIV4IJAKC3FBS6MBRG/action/author_attestation","sign_citation":"https://pith.science/pith/FLMXVHHKMIV4IJAKC3FBS6MBRG/action/citation_signature","submit_replication":"https://pith.science/pith/FLMXVHHKMIV4IJAKC3FBS6MBRG/action/replication_record"}},"created_at":"2026-07-04T16:01:18.771766+00:00","updated_at":"2026-07-04T16:01:18.771766+00:00"}