{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:4ZYEHOQUT7BSNBNB4NXJCCDZCZ","short_pith_number":"pith:4ZYEHOQU","canonical_record":{"source":{"id":"1303.1762","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-07T17:39:53Z","cross_cats_sorted":[],"title_canon_sha256":"5c0d2414e29c520cbfd84c486236a9894d1cebdc94fca1f16ea83f68eec3ae6b","abstract_canon_sha256":"9e7b599a7aacfdc137b45f75b9b54cb6404d1574975d9a4960340be467fdccc2"},"schema_version":"1.0"},"canonical_sha256":"e67043ba149fc32685a1e36e910879165a7c7f3bcbd52691c58bac4861c07e4c","source":{"kind":"arxiv","id":"1303.1762","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1762","created_at":"2026-05-18T03:31:33Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1762v1","created_at":"2026-05-18T03:31:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1762","created_at":"2026-05-18T03:31:33Z"},{"alias_kind":"pith_short_12","alias_value":"4ZYEHOQUT7BS","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4ZYEHOQUT7BSNBNB","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4ZYEHOQU","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:4ZYEHOQUT7BSNBNB4NXJCCDZCZ","target":"record","payload":{"canonical_record":{"source":{"id":"1303.1762","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-07T17:39:53Z","cross_cats_sorted":[],"title_canon_sha256":"5c0d2414e29c520cbfd84c486236a9894d1cebdc94fca1f16ea83f68eec3ae6b","abstract_canon_sha256":"9e7b599a7aacfdc137b45f75b9b54cb6404d1574975d9a4960340be467fdccc2"},"schema_version":"1.0"},"canonical_sha256":"e67043ba149fc32685a1e36e910879165a7c7f3bcbd52691c58bac4861c07e4c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:31:33.180618Z","signature_b64":"ew7ppHKcErOKbLsgl13I6gsIfFW+MoUwNyJ5VEvLlgsy1aEcSeCRvoo05ryxKpleBiSQUyeykeOekimjPAluDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e67043ba149fc32685a1e36e910879165a7c7f3bcbd52691c58bac4861c07e4c","last_reissued_at":"2026-05-18T03:31:33.180101Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:31:33.180101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.1762","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":"2026-05-18T03:31:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bw0TDt6t26jZsn4ZUMAVyV1bfncync0L5y2gc0fe0ouiq3jgPBMEQCd+PRtJui8kJqbgfW/laTMb614iwrxLBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:34:24.665059Z"},"content_sha256":"2d71f6b30639c157e04f41d9e44507a1da63b166d46927d2f5e19496076bfa56","schema_version":"1.0","event_id":"sha256:2d71f6b30639c157e04f41d9e44507a1da63b166d46927d2f5e19496076bfa56"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:4ZYEHOQUT7BSNBNB4NXJCCDZCZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic Force Due to a Quantum Scalar Field in Minkowski Spacetime","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Jason D. Bates","submitted_at":"2013-03-07T17:39:53Z","abstract_excerpt":"A method is presented for computing approximate expressions for the stochastic force term $\\xi_{ab}$ which appears in the Einstein-Langevin equation of stochastic gravity. Within this framework, $\\xi_{ab}$ is a stochastic tensor field whose probability distribution mimics the probability distribution of the fluctuations of the quantum stress tensor operator; it is defined to be a random tensor field of zero mean whose correlation function is given by the expectation value of the symmetrized two point function of the stress energy fluctuation operator, called the noise kernel. Approximate expre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1762","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":"2026-05-18T03:31:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xq3w0Oe9YmseBON8wkCa0orUaMQlNGIiH2Usy0d4Tzz5g2m6fe0kNnp7GJSMvs3n197FKJO8rqnV80HA0EUABA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T21:34:24.665733Z"},"content_sha256":"171fe56496e38e3f445e696b80d889d39da7d8c7d6d45af95c2413f122367d92","schema_version":"1.0","event_id":"sha256:171fe56496e38e3f445e696b80d889d39da7d8c7d6d45af95c2413f122367d92"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4ZYEHOQUT7BSNBNB4NXJCCDZCZ/bundle.json","state_url":"https://pith.science/pith/4ZYEHOQUT7BSNBNB4NXJCCDZCZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4ZYEHOQUT7BSNBNB4NXJCCDZCZ/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":"2026-06-07T21:34:24Z","links":{"resolver":"https://pith.science/pith/4ZYEHOQUT7BSNBNB4NXJCCDZCZ","bundle":"https://pith.science/pith/4ZYEHOQUT7BSNBNB4NXJCCDZCZ/bundle.json","state":"https://pith.science/pith/4ZYEHOQUT7BSNBNB4NXJCCDZCZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4ZYEHOQUT7BSNBNB4NXJCCDZCZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4ZYEHOQUT7BSNBNB4NXJCCDZCZ","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":"9e7b599a7aacfdc137b45f75b9b54cb6404d1574975d9a4960340be467fdccc2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-07T17:39:53Z","title_canon_sha256":"5c0d2414e29c520cbfd84c486236a9894d1cebdc94fca1f16ea83f68eec3ae6b"},"schema_version":"1.0","source":{"id":"1303.1762","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.1762","created_at":"2026-05-18T03:31:33Z"},{"alias_kind":"arxiv_version","alias_value":"1303.1762v1","created_at":"2026-05-18T03:31:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1762","created_at":"2026-05-18T03:31:33Z"},{"alias_kind":"pith_short_12","alias_value":"4ZYEHOQUT7BS","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4ZYEHOQUT7BSNBNB","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4ZYEHOQU","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:171fe56496e38e3f445e696b80d889d39da7d8c7d6d45af95c2413f122367d92","target":"graph","created_at":"2026-05-18T03:31:33Z","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":"A method is presented for computing approximate expressions for the stochastic force term $\\xi_{ab}$ which appears in the Einstein-Langevin equation of stochastic gravity. Within this framework, $\\xi_{ab}$ is a stochastic tensor field whose probability distribution mimics the probability distribution of the fluctuations of the quantum stress tensor operator; it is defined to be a random tensor field of zero mean whose correlation function is given by the expectation value of the symmetrized two point function of the stress energy fluctuation operator, called the noise kernel. Approximate expre","authors_text":"Jason D. Bates","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-07T17:39:53Z","title":"Stochastic Force Due to a Quantum Scalar Field in Minkowski Spacetime"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1762","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":"sha256:2d71f6b30639c157e04f41d9e44507a1da63b166d46927d2f5e19496076bfa56","target":"record","created_at":"2026-05-18T03:31:33Z","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":"9e7b599a7aacfdc137b45f75b9b54cb6404d1574975d9a4960340be467fdccc2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2013-03-07T17:39:53Z","title_canon_sha256":"5c0d2414e29c520cbfd84c486236a9894d1cebdc94fca1f16ea83f68eec3ae6b"},"schema_version":"1.0","source":{"id":"1303.1762","kind":"arxiv","version":1}},"canonical_sha256":"e67043ba149fc32685a1e36e910879165a7c7f3bcbd52691c58bac4861c07e4c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e67043ba149fc32685a1e36e910879165a7c7f3bcbd52691c58bac4861c07e4c","first_computed_at":"2026-05-18T03:31:33.180101Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:31:33.180101Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ew7ppHKcErOKbLsgl13I6gsIfFW+MoUwNyJ5VEvLlgsy1aEcSeCRvoo05ryxKpleBiSQUyeykeOekimjPAluDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:31:33.180618Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.1762","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d71f6b30639c157e04f41d9e44507a1da63b166d46927d2f5e19496076bfa56","sha256:171fe56496e38e3f445e696b80d889d39da7d8c7d6d45af95c2413f122367d92"],"state_sha256":"150ae1552b6d632f416635fe74daf69eceab6b96b9f217277d65d435a1bf3c6e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HvEYt38PtMc8fDt8a2kX88xHPF7N0RQqumOEgsvZQYU0a7sHNydgfvanxLcFYUsDJ8hXD3xXkgKlONH6wQ1fBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T21:34:24.669154Z","bundle_sha256":"23da0a0508a54a266cbc72b821b764c17060866e19b47d3a4ae0741231116ced"}}