{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:PKIP75BS5IENNHB7Y4EAHZ3UXV","short_pith_number":"pith:PKIP75BS","canonical_record":{"source":{"id":"1406.2223","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-06-09T15:44:53Z","cross_cats_sorted":["astro-ph.CO","hep-th","math-ph","math.MP"],"title_canon_sha256":"7638406866e2cb7e05ce3d2c1bea6cce8725276131dff11eb5b70772d301d441","abstract_canon_sha256":"5b766b68747b0da407dc58a1fade67319ba559c41a832f22fe914dc1bebf5fc2"},"schema_version":"1.0"},"canonical_sha256":"7a90fff432ea08d69c3fc70803e774bd5b2c25494a2ff3fffc2079a3c37a60f7","source":{"kind":"arxiv","id":"1406.2223","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2223","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2223v1","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2223","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"pith_short_12","alias_value":"PKIP75BS5IEN","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PKIP75BS5IENNHB7","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PKIP75BS","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:PKIP75BS5IENNHB7Y4EAHZ3UXV","target":"record","payload":{"canonical_record":{"source":{"id":"1406.2223","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-06-09T15:44:53Z","cross_cats_sorted":["astro-ph.CO","hep-th","math-ph","math.MP"],"title_canon_sha256":"7638406866e2cb7e05ce3d2c1bea6cce8725276131dff11eb5b70772d301d441","abstract_canon_sha256":"5b766b68747b0da407dc58a1fade67319ba559c41a832f22fe914dc1bebf5fc2"},"schema_version":"1.0"},"canonical_sha256":"7a90fff432ea08d69c3fc70803e774bd5b2c25494a2ff3fffc2079a3c37a60f7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:01.056823Z","signature_b64":"V2PoyixU+NmTz4v6R5evQS4ILaaBhV+NnCWCRHDJohRYoR68rYTaoCpS7n/EKTQ12sa5xKYkRpDGsbm4O1QJCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7a90fff432ea08d69c3fc70803e774bd5b2c25494a2ff3fffc2079a3c37a60f7","last_reissued_at":"2026-05-18T01:43:01.056388Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:01.056388Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.2223","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:43:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NK3kondxL8dBnzvNHWQHzdAJrCq1HXUNX8yv8sLywgopHqSQPRE+XhogpDDOYCYP1yjMQKjcRWUjUk6IBV+3CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T15:00:16.570731Z"},"content_sha256":"a16d9fef6c1c642c64809c7886b31b39f2e9f61502eb6af477145e5eb0fd92ed","schema_version":"1.0","event_id":"sha256:a16d9fef6c1c642c64809c7886b31b39f2e9f61502eb6af477145e5eb0fd92ed"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:PKIP75BS5IENNHB7Y4EAHZ3UXV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Curvature fluctuations on asymptotically de Sitter spacetimes via the semiclassical Einstein's equations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Alberto Melati, Claudio Dappiaggi","submitted_at":"2014-06-09T15:44:53Z","abstract_excerpt":"It has been proposed recently to consider in the framework of cosmology an extension of the semiclassical Einstein's equations in which the Einstein tensor is considered as a random function. This paradigm yields a hierarchy of equations between the $n$-point functions of the quantum, normal ordered, stress energy-tensor and those associated to the stochastic Einstein tensor. Assuming that the matter content is a conformally coupled massive scalar field on de Sitter spacetime, this framework has been applied to compute the power spectrum of the quantum fluctuations and to show that it is almos"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2223","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:43:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0rhIoJ/12jIgqsEWBkKu9Etko+2kvI0XwkgF3fJsQs+CCnkNw3xJ/woBAjzmJR+jZ8M7vi/Rr/gax4ZaPwdADg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T15:00:16.571080Z"},"content_sha256":"74afa39d4be3e7b5caf9db861b9bda8217071df2dd5d669e0ad0bb7f29646990","schema_version":"1.0","event_id":"sha256:74afa39d4be3e7b5caf9db861b9bda8217071df2dd5d669e0ad0bb7f29646990"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PKIP75BS5IENNHB7Y4EAHZ3UXV/bundle.json","state_url":"https://pith.science/pith/PKIP75BS5IENNHB7Y4EAHZ3UXV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PKIP75BS5IENNHB7Y4EAHZ3UXV/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T15:00:16Z","links":{"resolver":"https://pith.science/pith/PKIP75BS5IENNHB7Y4EAHZ3UXV","bundle":"https://pith.science/pith/PKIP75BS5IENNHB7Y4EAHZ3UXV/bundle.json","state":"https://pith.science/pith/PKIP75BS5IENNHB7Y4EAHZ3UXV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PKIP75BS5IENNHB7Y4EAHZ3UXV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:PKIP75BS5IENNHB7Y4EAHZ3UXV","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":"5b766b68747b0da407dc58a1fade67319ba559c41a832f22fe914dc1bebf5fc2","cross_cats_sorted":["astro-ph.CO","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-06-09T15:44:53Z","title_canon_sha256":"7638406866e2cb7e05ce3d2c1bea6cce8725276131dff11eb5b70772d301d441"},"schema_version":"1.0","source":{"id":"1406.2223","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2223","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2223v1","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2223","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"pith_short_12","alias_value":"PKIP75BS5IEN","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"PKIP75BS5IENNHB7","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"PKIP75BS","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:74afa39d4be3e7b5caf9db861b9bda8217071df2dd5d669e0ad0bb7f29646990","target":"graph","created_at":"2026-05-18T01:43:01Z","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":"It has been proposed recently to consider in the framework of cosmology an extension of the semiclassical Einstein's equations in which the Einstein tensor is considered as a random function. This paradigm yields a hierarchy of equations between the $n$-point functions of the quantum, normal ordered, stress energy-tensor and those associated to the stochastic Einstein tensor. Assuming that the matter content is a conformally coupled massive scalar field on de Sitter spacetime, this framework has been applied to compute the power spectrum of the quantum fluctuations and to show that it is almos","authors_text":"Alberto Melati, Claudio Dappiaggi","cross_cats":["astro-ph.CO","hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-06-09T15:44:53Z","title":"Curvature fluctuations on asymptotically de Sitter spacetimes via the semiclassical Einstein's equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2223","kind":"arxiv","version":1},"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:a16d9fef6c1c642c64809c7886b31b39f2e9f61502eb6af477145e5eb0fd92ed","target":"record","created_at":"2026-05-18T01:43:01Z","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":"5b766b68747b0da407dc58a1fade67319ba559c41a832f22fe914dc1bebf5fc2","cross_cats_sorted":["astro-ph.CO","hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-06-09T15:44:53Z","title_canon_sha256":"7638406866e2cb7e05ce3d2c1bea6cce8725276131dff11eb5b70772d301d441"},"schema_version":"1.0","source":{"id":"1406.2223","kind":"arxiv","version":1}},"canonical_sha256":"7a90fff432ea08d69c3fc70803e774bd5b2c25494a2ff3fffc2079a3c37a60f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7a90fff432ea08d69c3fc70803e774bd5b2c25494a2ff3fffc2079a3c37a60f7","first_computed_at":"2026-05-18T01:43:01.056388Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:01.056388Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V2PoyixU+NmTz4v6R5evQS4ILaaBhV+NnCWCRHDJohRYoR68rYTaoCpS7n/EKTQ12sa5xKYkRpDGsbm4O1QJCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:01.056823Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.2223","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a16d9fef6c1c642c64809c7886b31b39f2e9f61502eb6af477145e5eb0fd92ed","sha256:74afa39d4be3e7b5caf9db861b9bda8217071df2dd5d669e0ad0bb7f29646990"],"state_sha256":"58c30e5f1be82b417b833a1cdd9c88e11492bb845b1548396e7601657793f8bb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/Pm0wt70CmFwaclw8qMqzkxH3V8eI+nhQ3MgFD/bwgA6zUcKazGBcIv2dINYOqjATSi8i261ON5tIBU+pnggDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T15:00:16.573328Z","bundle_sha256":"ce024e70890f61ff709d9a0dc9fa43cba298e6cb5dc593297a8ccaf1c2b603ec"}}