{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:J5AQR6KXLHPSIWAOPAL5T623TK","short_pith_number":"pith:J5AQR6KX","schema_version":"1.0","canonical_sha256":"4f4108f95759df24580e7817d9fb5b9a9d7ebd019c0958c4643331f1f885038c","source":{"kind":"arxiv","id":"2412.19782","version":2},"attestation_state":"computed","paper":{"title":"Cosmological perturbations meet Wheeler DeWitt","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"hep-th","authors_text":"Federico Piazza, Sim\\'eon Vareilles","submitted_at":"2024-12-27T18:25:17Z","abstract_excerpt":"We study approximate solutions of the Wheeler DeWitt (WdW) equation and compare them with the standard results of cosmological perturbation theory. In mini-superspace, we introduce a dimensionless gravitational coupling $\\alpha$ that is typically very small and functions like $\\hbar$ in a WKB expansion. We seek solutions of the form $\\Psi = e^{iS/\\alpha} \\psi$ that are the closest quantum analog of a given classical background spacetime. The function $S$ satisfies the Hamilton-Jacobi equation, while $\\psi$ obeys a Schr\\\"odinger-like equation and can be given a probabilistic interpretation. The"},"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":"2412.19782","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-12-27T18:25:17Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"f4f548a0699cac7e1ee63b2401547f44bea7cc3704a7bb6ec1fd70179da30102","abstract_canon_sha256":"f920d8ceee9a5fb64b6f48972347d365046fa226c2ef0c4795708b2624a07fba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:03:50.487987Z","signature_b64":"lN14R8g8Le+6NPGYUgmoY8zThMtBr9AqHFytwKwToc7z09QhpdSiFsM67A2peQMVSlfLuYQUtnGtPf7PKuPLCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4f4108f95759df24580e7817d9fb5b9a9d7ebd019c0958c4643331f1f885038c","last_reissued_at":"2026-07-05T10:03:50.487498Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:03:50.487498Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cosmological perturbations meet Wheeler DeWitt","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"hep-th","authors_text":"Federico Piazza, Sim\\'eon Vareilles","submitted_at":"2024-12-27T18:25:17Z","abstract_excerpt":"We study approximate solutions of the Wheeler DeWitt (WdW) equation and compare them with the standard results of cosmological perturbation theory. In mini-superspace, we introduce a dimensionless gravitational coupling $\\alpha$ that is typically very small and functions like $\\hbar$ in a WKB expansion. We seek solutions of the form $\\Psi = e^{iS/\\alpha} \\psi$ that are the closest quantum analog of a given classical background spacetime. The function $S$ satisfies the Hamilton-Jacobi equation, while $\\psi$ obeys a Schr\\\"odinger-like equation and can be given a probabilistic interpretation. The"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.19782","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2412.19782/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":"2412.19782","created_at":"2026-07-05T10:03:50.487560+00:00"},{"alias_kind":"arxiv_version","alias_value":"2412.19782v2","created_at":"2026-07-05T10:03:50.487560+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.19782","created_at":"2026-07-05T10:03:50.487560+00:00"},{"alias_kind":"pith_short_12","alias_value":"J5AQR6KXLHPS","created_at":"2026-07-05T10:03:50.487560+00:00"},{"alias_kind":"pith_short_16","alias_value":"J5AQR6KXLHPSIWAO","created_at":"2026-07-05T10:03:50.487560+00:00"},{"alias_kind":"pith_short_8","alias_value":"J5AQR6KX","created_at":"2026-07-05T10:03:50.487560+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/J5AQR6KXLHPSIWAOPAL5T623TK","json":"https://pith.science/pith/J5AQR6KXLHPSIWAOPAL5T623TK.json","graph_json":"https://pith.science/api/pith-number/J5AQR6KXLHPSIWAOPAL5T623TK/graph.json","events_json":"https://pith.science/api/pith-number/J5AQR6KXLHPSIWAOPAL5T623TK/events.json","paper":"https://pith.science/paper/J5AQR6KX"},"agent_actions":{"view_html":"https://pith.science/pith/J5AQR6KXLHPSIWAOPAL5T623TK","download_json":"https://pith.science/pith/J5AQR6KXLHPSIWAOPAL5T623TK.json","view_paper":"https://pith.science/paper/J5AQR6KX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2412.19782&json=true","fetch_graph":"https://pith.science/api/pith-number/J5AQR6KXLHPSIWAOPAL5T623TK/graph.json","fetch_events":"https://pith.science/api/pith-number/J5AQR6KXLHPSIWAOPAL5T623TK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/J5AQR6KXLHPSIWAOPAL5T623TK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/J5AQR6KXLHPSIWAOPAL5T623TK/action/storage_attestation","attest_author":"https://pith.science/pith/J5AQR6KXLHPSIWAOPAL5T623TK/action/author_attestation","sign_citation":"https://pith.science/pith/J5AQR6KXLHPSIWAOPAL5T623TK/action/citation_signature","submit_replication":"https://pith.science/pith/J5AQR6KXLHPSIWAOPAL5T623TK/action/replication_record"}},"created_at":"2026-07-05T10:03:50.487560+00:00","updated_at":"2026-07-05T10:03:50.487560+00:00"}