{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:W7XOSUDT2ZWRWEUI6CXTX5MTS2","short_pith_number":"pith:W7XOSUDT","schema_version":"1.0","canonical_sha256":"b7eee95073d66d1b1288f0af3bf59396b6fa9d9f2d85bfc8220c0ab102c14f28","source":{"kind":"arxiv","id":"1906.09007","version":2},"attestation_state":"computed","paper":{"title":"Quantum Incompleteness of Inflation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"hep-th","authors_text":"Alice Di Tucci, Jean-Luc Lehners, Job Feldbrugge, Neil Turok","submitted_at":"2019-06-21T08:44:04Z","abstract_excerpt":"Inflation is most often described using quantum field theory (QFT) on a fixed, curved spacetime background. Such a description is valid only if the spatial volume of the region considered is so large that its size and shape moduli behave classically. However, if we trace an inflating universe back to early times, the volume of any comoving region of interest -- for example the present Hubble volume -- becomes exponentially small. Hence, quantum fluctuations in the trajectory of the background cannot be neglected at early times. In this paper, we develop a path integral description of a flat, i"},"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":"1906.09007","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-06-21T08:44:04Z","cross_cats_sorted":["astro-ph.CO","gr-qc"],"title_canon_sha256":"f5b949f9132e1a65fa4c743f6315d0e29ec74373afec0511ece12b3ca9c77dcb","abstract_canon_sha256":"3d1fddd1ca4f74f4b3f85c50b456d04362ffb0cd9b1c145490aa1906dfc644ad"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:06:46.947509Z","signature_b64":"fO1IzjfssWf5mGpdnkjGY5tEwcUMV73gnR+bWI3AxyF98+igCmQsODnMxrh5+WbDB0G92Nq7YssxXXTHxPhaAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7eee95073d66d1b1288f0af3bf59396b6fa9d9f2d85bfc8220c0ab102c14f28","last_reissued_at":"2026-07-05T00:06:46.947060Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:06:46.947060Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Incompleteness of Inflation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc"],"primary_cat":"hep-th","authors_text":"Alice Di Tucci, Jean-Luc Lehners, Job Feldbrugge, Neil Turok","submitted_at":"2019-06-21T08:44:04Z","abstract_excerpt":"Inflation is most often described using quantum field theory (QFT) on a fixed, curved spacetime background. Such a description is valid only if the spatial volume of the region considered is so large that its size and shape moduli behave classically. However, if we trace an inflating universe back to early times, the volume of any comoving region of interest -- for example the present Hubble volume -- becomes exponentially small. Hence, quantum fluctuations in the trajectory of the background cannot be neglected at early times. In this paper, we develop a path integral description of a flat, i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1906.09007","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/1906.09007/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":"1906.09007","created_at":"2026-07-05T00:06:46.947119+00:00"},{"alias_kind":"arxiv_version","alias_value":"1906.09007v2","created_at":"2026-07-05T00:06:46.947119+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1906.09007","created_at":"2026-07-05T00:06:46.947119+00:00"},{"alias_kind":"pith_short_12","alias_value":"W7XOSUDT2ZWR","created_at":"2026-07-05T00:06:46.947119+00:00"},{"alias_kind":"pith_short_16","alias_value":"W7XOSUDT2ZWRWEUI","created_at":"2026-07-05T00:06:46.947119+00:00"},{"alias_kind":"pith_short_8","alias_value":"W7XOSUDT","created_at":"2026-07-05T00:06:46.947119+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1909.01169","citing_title":"A Safe Beginning for the Universe?","ref_index":9,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/W7XOSUDT2ZWRWEUI6CXTX5MTS2","json":"https://pith.science/pith/W7XOSUDT2ZWRWEUI6CXTX5MTS2.json","graph_json":"https://pith.science/api/pith-number/W7XOSUDT2ZWRWEUI6CXTX5MTS2/graph.json","events_json":"https://pith.science/api/pith-number/W7XOSUDT2ZWRWEUI6CXTX5MTS2/events.json","paper":"https://pith.science/paper/W7XOSUDT"},"agent_actions":{"view_html":"https://pith.science/pith/W7XOSUDT2ZWRWEUI6CXTX5MTS2","download_json":"https://pith.science/pith/W7XOSUDT2ZWRWEUI6CXTX5MTS2.json","view_paper":"https://pith.science/paper/W7XOSUDT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1906.09007&json=true","fetch_graph":"https://pith.science/api/pith-number/W7XOSUDT2ZWRWEUI6CXTX5MTS2/graph.json","fetch_events":"https://pith.science/api/pith-number/W7XOSUDT2ZWRWEUI6CXTX5MTS2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W7XOSUDT2ZWRWEUI6CXTX5MTS2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W7XOSUDT2ZWRWEUI6CXTX5MTS2/action/storage_attestation","attest_author":"https://pith.science/pith/W7XOSUDT2ZWRWEUI6CXTX5MTS2/action/author_attestation","sign_citation":"https://pith.science/pith/W7XOSUDT2ZWRWEUI6CXTX5MTS2/action/citation_signature","submit_replication":"https://pith.science/pith/W7XOSUDT2ZWRWEUI6CXTX5MTS2/action/replication_record"}},"created_at":"2026-07-05T00:06:46.947119+00:00","updated_at":"2026-07-05T00:06:46.947119+00:00"}