{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:KOX7LX5JYTR3ZZBWCZPECRACPU","short_pith_number":"pith:KOX7LX5J","schema_version":"1.0","canonical_sha256":"53aff5dfa9c4e3bce436165e4144027d127a8009a4c8b9c534d3e3968258354f","source":{"kind":"arxiv","id":"1708.07001","version":4},"attestation_state":"computed","paper":{"title":"From path integrals to the Wheeler-DeWitt equation: Time evolution in spacetimes with a spatial boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Justin C. Feng, Richard A. Matzner","submitted_at":"2017-08-21T20:48:31Z","abstract_excerpt":"We reexamine the relationship between the path integral and canonical formulation of quantum general relativity. In particular, we present a formal derivation of the Wheeler-DeWitt equation from the path integral for quantum general relativity by way of boundary variations. One feature of this approach is that it does not require an explicit 3+1 splitting of spacetime in the bulk. For spacetimes with a spatial boundary, we show that the dependence of the transition amplitudes on spatial boundary conditions is determined by a Wheeler-DeWitt equation for the spatial boundary surface. We find tha"},"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":"1708.07001","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2017-08-21T20:48:31Z","cross_cats_sorted":[],"title_canon_sha256":"d19958cb6018f6e7e43c63fb52b9c844abe5221a706dee5fd0470c38e5fa2ee6","abstract_canon_sha256":"afdfa5e14af9fe0b66d57f25292b7600327897b6093e612fa8c8382db4a77773"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:30:41.770291Z","signature_b64":"akwZiRspkiYA85fFtIldIwY4c1dxPAICoTi1DVBmS/rXgAtIiiOkXEWLx/bTVuQSbRWdoC4NTvZCUfKpixK1Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53aff5dfa9c4e3bce436165e4144027d127a8009a4c8b9c534d3e3968258354f","last_reissued_at":"2026-05-18T00:30:41.769925Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:30:41.769925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From path integrals to the Wheeler-DeWitt equation: Time evolution in spacetimes with a spatial boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Justin C. Feng, Richard A. Matzner","submitted_at":"2017-08-21T20:48:31Z","abstract_excerpt":"We reexamine the relationship between the path integral and canonical formulation of quantum general relativity. In particular, we present a formal derivation of the Wheeler-DeWitt equation from the path integral for quantum general relativity by way of boundary variations. One feature of this approach is that it does not require an explicit 3+1 splitting of spacetime in the bulk. For spacetimes with a spatial boundary, we show that the dependence of the transition amplitudes on spatial boundary conditions is determined by a Wheeler-DeWitt equation for the spatial boundary surface. We find tha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.07001","kind":"arxiv","version":4},"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":"1708.07001","created_at":"2026-05-18T00:30:41.769982+00:00"},{"alias_kind":"arxiv_version","alias_value":"1708.07001v4","created_at":"2026-05-18T00:30:41.769982+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.07001","created_at":"2026-05-18T00:30:41.769982+00:00"},{"alias_kind":"pith_short_12","alias_value":"KOX7LX5JYTR3","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_16","alias_value":"KOX7LX5JYTR3ZZBW","created_at":"2026-05-18T12:31:24.725408+00:00"},{"alias_kind":"pith_short_8","alias_value":"KOX7LX5J","created_at":"2026-05-18T12:31:24.725408+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/KOX7LX5JYTR3ZZBWCZPECRACPU","json":"https://pith.science/pith/KOX7LX5JYTR3ZZBWCZPECRACPU.json","graph_json":"https://pith.science/api/pith-number/KOX7LX5JYTR3ZZBWCZPECRACPU/graph.json","events_json":"https://pith.science/api/pith-number/KOX7LX5JYTR3ZZBWCZPECRACPU/events.json","paper":"https://pith.science/paper/KOX7LX5J"},"agent_actions":{"view_html":"https://pith.science/pith/KOX7LX5JYTR3ZZBWCZPECRACPU","download_json":"https://pith.science/pith/KOX7LX5JYTR3ZZBWCZPECRACPU.json","view_paper":"https://pith.science/paper/KOX7LX5J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1708.07001&json=true","fetch_graph":"https://pith.science/api/pith-number/KOX7LX5JYTR3ZZBWCZPECRACPU/graph.json","fetch_events":"https://pith.science/api/pith-number/KOX7LX5JYTR3ZZBWCZPECRACPU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KOX7LX5JYTR3ZZBWCZPECRACPU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KOX7LX5JYTR3ZZBWCZPECRACPU/action/storage_attestation","attest_author":"https://pith.science/pith/KOX7LX5JYTR3ZZBWCZPECRACPU/action/author_attestation","sign_citation":"https://pith.science/pith/KOX7LX5JYTR3ZZBWCZPECRACPU/action/citation_signature","submit_replication":"https://pith.science/pith/KOX7LX5JYTR3ZZBWCZPECRACPU/action/replication_record"}},"created_at":"2026-05-18T00:30:41.769982+00:00","updated_at":"2026-05-18T00:30:41.769982+00:00"}