{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:2RZEZG27CW4E6CVWGJMGLKG52J","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":"4ed80e29f952269f6dc2299c06775ab9f0340e66e7fdab5e0e8a724b168bc119","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-22T10:28:57Z","title_canon_sha256":"d7aff1951dc6766ee166a1055c270e04f218d804e22d2134c72659bed06e3762"},"schema_version":"1.0","source":{"id":"1212.5677","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.5677","created_at":"2026-05-18T02:41:09Z"},{"alias_kind":"arxiv_version","alias_value":"1212.5677v2","created_at":"2026-05-18T02:41:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.5677","created_at":"2026-05-18T02:41:09Z"},{"alias_kind":"pith_short_12","alias_value":"2RZEZG27CW4E","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"2RZEZG27CW4E6CVW","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"2RZEZG27","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:f2b31284ed227c2997c282f73bb83bbc0fdceb6bbad86ae81f7f67149404342f","target":"graph","created_at":"2026-05-18T02:41:09Z","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 Fock quantization of scalar fields with a time dependent mass in cosmological scenarios with flat compact spatial sections. This framework describes physically interesting situations like, e.g., cosmological perturbations in flat Friedmann-Robertson-Walker spacetimes, generally including a suitable scaling of them by a background function. We prove that the requirements of vacuum invariance under the spatial isometries and of a unitary quantum dynamics select (a) a unique canonical pair of field variables among all those related by time dependent canonical transformations which sc","authors_text":"Daniel Mart\\'in-de Blas, Guillermo A. Mena Marug\\'an, Jer\\'onimo Cortez, Jos\\'e. M. Velhinho, Laura Castell\\'o Gomar","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-22T10:28:57Z","title":"Unitary evolution and uniqueness of the Fock quantization in flat cosmologies with compact spatial sections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.5677","kind":"arxiv","version":2},"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":"sha256:542e08443a9f8fbcac7464ddcc45ade58a8edc0afb826286676177a3140984d4","target":"record","created_at":"2026-05-18T02:41:09Z","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":"4ed80e29f952269f6dc2299c06775ab9f0340e66e7fdab5e0e8a724b168bc119","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2012-12-22T10:28:57Z","title_canon_sha256":"d7aff1951dc6766ee166a1055c270e04f218d804e22d2134c72659bed06e3762"},"schema_version":"1.0","source":{"id":"1212.5677","kind":"arxiv","version":2}},"canonical_sha256":"d4724c9b5f15b84f0ab6325865a8ddd25f0cd1cb02c2c239cdce5dbef102b525","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4724c9b5f15b84f0ab6325865a8ddd25f0cd1cb02c2c239cdce5dbef102b525","first_computed_at":"2026-05-18T02:41:09.180763Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:09.180763Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vCe4MK8rel3d/AgdiIhvKTrH5SP6g80DBXTKay1ItRtg8RWfrhNuqpXIhNlqoqUbq7pfVbBvAT+3auliyS4FDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:09.181172Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.5677","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:542e08443a9f8fbcac7464ddcc45ade58a8edc0afb826286676177a3140984d4","sha256:f2b31284ed227c2997c282f73bb83bbc0fdceb6bbad86ae81f7f67149404342f"],"state_sha256":"8c6ed8ec7b7b7105c0a4205f765af0f25fd648b0ff4a4c4f05e8c94d088d94fc"}