{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:4KATAEMHM4HISNMX2N5T4G5KZY","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":"b8e6a739c6400f3b1f786c00ea8f22b06a66a08af347271a3b7ad44e46522a79","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2003-07-08T15:00:51Z","title_canon_sha256":"cb409beeba3ece077ea7691e1b1676eb018b3569fcb0dcf346fbdcc4d24915d3"},"schema_version":"1.0","source":{"id":"gr-qc/0307032","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"gr-qc/0307032","created_at":"2026-05-18T01:01:58Z"},{"alias_kind":"arxiv_version","alias_value":"gr-qc/0307032v1","created_at":"2026-05-18T01:01:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.gr-qc/0307032","created_at":"2026-05-18T01:01:58Z"},{"alias_kind":"pith_short_12","alias_value":"4KATAEMHM4HI","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_16","alias_value":"4KATAEMHM4HISNMX","created_at":"2026-05-18T12:25:51Z"},{"alias_kind":"pith_short_8","alias_value":"4KATAEMH","created_at":"2026-05-18T12:25:51Z"}],"graph_snapshots":[{"event_id":"sha256:a1b47f6ce091859975b6c444160e027ce149c17f4b1a6dde6ada91c230a434fb","target":"graph","created_at":"2026-05-18T01:01:58Z","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":"Whereas semiclassical gravity is based on the semiclassical Einstein equation with sources given by the expectation value of the stress-energy tensor of quantum fields, stochastic semiclassical gravity is based on the Einstein-Langevin equation, which has in addition sources due to the noise kernel.In the first part, we describe the fundamentals of this new theory via two approaches: the axiomatic and the functional. In the second part, we describe three applications of stochastic gravity theory. First, we consider metric perturbations in a Minkowski spacetime: we compute the two-point correla","authors_text":"B. L. Hu, E. Verdaguer","cross_cats":[],"headline":"","license":"","primary_cat":"gr-qc","submitted_at":"2003-07-08T15:00:51Z","title":"Stochastic Gravity: Theory and Applications"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"gr-qc/0307032","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:f30f0faad5454f7848cca55ba1caa545c4328a6c88a3159a549d39ea9a66bbd1","target":"record","created_at":"2026-05-18T01:01:58Z","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":"b8e6a739c6400f3b1f786c00ea8f22b06a66a08af347271a3b7ad44e46522a79","cross_cats_sorted":[],"license":"","primary_cat":"gr-qc","submitted_at":"2003-07-08T15:00:51Z","title_canon_sha256":"cb409beeba3ece077ea7691e1b1676eb018b3569fcb0dcf346fbdcc4d24915d3"},"schema_version":"1.0","source":{"id":"gr-qc/0307032","kind":"arxiv","version":1}},"canonical_sha256":"e281301187670e893597d37b3e1baace14b7aa96259177794f0a0933a1432453","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e281301187670e893597d37b3e1baace14b7aa96259177794f0a0933a1432453","first_computed_at":"2026-05-18T01:01:58.395873Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:58.395873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AJCpMWvHoLnYmgxld3jxflK69pEsd8eR0nU+eNTh6Ebm0yPr1JRODKisgbCV11b7ZrZk4+6VntyBeW0QgpvrAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:58.396368Z","signed_message":"canonical_sha256_bytes"},"source_id":"gr-qc/0307032","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f30f0faad5454f7848cca55ba1caa545c4328a6c88a3159a549d39ea9a66bbd1","sha256:a1b47f6ce091859975b6c444160e027ce149c17f4b1a6dde6ada91c230a434fb"],"state_sha256":"09f7cd504eba158151980fb1e7bc08e6b6b8554c1c425373b37a1e94176fa9f6"}