{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:IZPRLW5XC74OND7CWTYKVCZHWE","short_pith_number":"pith:IZPRLW5X","canonical_record":{"source":{"id":"1006.5681","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-06-29T17:14:47Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"60e8fef95f79b557782ffad63bac10f8e27bff37367c00d1c0ef1f180be90839","abstract_canon_sha256":"44e46caf288281224e1cb6b43cd05d8aee56b8964cd7f8e320dff42446cc008e"},"schema_version":"1.0"},"canonical_sha256":"465f15dbb717f8e68fe2b4f0aa8b27b13c53d322ba45563f2b5c822b4d2fecaf","source":{"kind":"arxiv","id":"1006.5681","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.5681","created_at":"2026-05-18T02:33:15Z"},{"alias_kind":"arxiv_version","alias_value":"1006.5681v1","created_at":"2026-05-18T02:33:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.5681","created_at":"2026-05-18T02:33:15Z"},{"alias_kind":"pith_short_12","alias_value":"IZPRLW5XC74O","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IZPRLW5XC74OND7C","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IZPRLW5X","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:IZPRLW5XC74OND7CWTYKVCZHWE","target":"record","payload":{"canonical_record":{"source":{"id":"1006.5681","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-06-29T17:14:47Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"60e8fef95f79b557782ffad63bac10f8e27bff37367c00d1c0ef1f180be90839","abstract_canon_sha256":"44e46caf288281224e1cb6b43cd05d8aee56b8964cd7f8e320dff42446cc008e"},"schema_version":"1.0"},"canonical_sha256":"465f15dbb717f8e68fe2b4f0aa8b27b13c53d322ba45563f2b5c822b4d2fecaf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:15.743358Z","signature_b64":"KxcYOapwwkuVS7diNZ4Wn2pY+4OXeCs1c5UZcphKQNaK6bJhasV5v4tYb87uff+1cjfR0sUGdyV6N9bhjRJFCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"465f15dbb717f8e68fe2b4f0aa8b27b13c53d322ba45563f2b5c822b4d2fecaf","last_reissued_at":"2026-05-18T02:33:15.742691Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:15.742691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.5681","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":"2026-05-18T02:33:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wjgyEl6dV94h5L3SUAwd9TcoWTAHLSpFdjhOfp7ZGclPNNAMZlwo9Dcr5AXS/i22Cia5Y+7s9GO96tXJrRoMBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:36:54.563848Z"},"content_sha256":"f1abaaf8cc9d45460ddbc1baec6f390c795e0db04cdd6c96b80830aa24ec521a","schema_version":"1.0","event_id":"sha256:f1abaaf8cc9d45460ddbc1baec6f390c795e0db04cdd6c96b80830aa24ec521a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:IZPRLW5XC74OND7CWTYKVCZHWE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stochastic Samples versus Vacuum Expectation Values in Cosmology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Aggelos Tzetzias (University of Crete), N. C. Tsamis (University of Crete), R. P. Woodard (University of Florida)","submitted_at":"2010-06-29T17:14:47Z","abstract_excerpt":"Particle theorists typically use expectation values to study the quantum back-reaction on inflation, whereas many cosmologists stress the stochastic nature of the process. While expectation values certainly give misleading results for some things, such as the stress tensor, we argue that operators exist for which there is no essential problem. We quantify this by examining the stochastic properties of a noninteracting, massless, minimally coupled scalar on a locally de Sitter background. The square of the stochastic realization of this field seems to provide an example of great relevance for w"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.5681","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":"2026-05-18T02:33:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aINZNTqp9YQo1lnSSarYrZQGHUHtt9fxStT3bLDUmMpKB/YrxQFxnuqK0tyL0IlK/HmMHXm89dpEQGp3JKyjCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T04:36:54.564192Z"},"content_sha256":"cbea66bda48dc2a9709a83ae3d43b4ef284a87339721191d769076b32c5f8c4b","schema_version":"1.0","event_id":"sha256:cbea66bda48dc2a9709a83ae3d43b4ef284a87339721191d769076b32c5f8c4b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IZPRLW5XC74OND7CWTYKVCZHWE/bundle.json","state_url":"https://pith.science/pith/IZPRLW5XC74OND7CWTYKVCZHWE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IZPRLW5XC74OND7CWTYKVCZHWE/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":"2026-06-03T04:36:54Z","links":{"resolver":"https://pith.science/pith/IZPRLW5XC74OND7CWTYKVCZHWE","bundle":"https://pith.science/pith/IZPRLW5XC74OND7CWTYKVCZHWE/bundle.json","state":"https://pith.science/pith/IZPRLW5XC74OND7CWTYKVCZHWE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IZPRLW5XC74OND7CWTYKVCZHWE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:IZPRLW5XC74OND7CWTYKVCZHWE","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":"44e46caf288281224e1cb6b43cd05d8aee56b8964cd7f8e320dff42446cc008e","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-06-29T17:14:47Z","title_canon_sha256":"60e8fef95f79b557782ffad63bac10f8e27bff37367c00d1c0ef1f180be90839"},"schema_version":"1.0","source":{"id":"1006.5681","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.5681","created_at":"2026-05-18T02:33:15Z"},{"alias_kind":"arxiv_version","alias_value":"1006.5681v1","created_at":"2026-05-18T02:33:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.5681","created_at":"2026-05-18T02:33:15Z"},{"alias_kind":"pith_short_12","alias_value":"IZPRLW5XC74O","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"IZPRLW5XC74OND7C","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"IZPRLW5X","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:cbea66bda48dc2a9709a83ae3d43b4ef284a87339721191d769076b32c5f8c4b","target":"graph","created_at":"2026-05-18T02:33:15Z","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":"Particle theorists typically use expectation values to study the quantum back-reaction on inflation, whereas many cosmologists stress the stochastic nature of the process. While expectation values certainly give misleading results for some things, such as the stress tensor, we argue that operators exist for which there is no essential problem. We quantify this by examining the stochastic properties of a noninteracting, massless, minimally coupled scalar on a locally de Sitter background. The square of the stochastic realization of this field seems to provide an example of great relevance for w","authors_text":"Aggelos Tzetzias (University of Crete), N. C. Tsamis (University of Crete), R. P. Woodard (University of Florida)","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-06-29T17:14:47Z","title":"Stochastic Samples versus Vacuum Expectation Values in Cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.5681","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:f1abaaf8cc9d45460ddbc1baec6f390c795e0db04cdd6c96b80830aa24ec521a","target":"record","created_at":"2026-05-18T02:33:15Z","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":"44e46caf288281224e1cb6b43cd05d8aee56b8964cd7f8e320dff42446cc008e","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2010-06-29T17:14:47Z","title_canon_sha256":"60e8fef95f79b557782ffad63bac10f8e27bff37367c00d1c0ef1f180be90839"},"schema_version":"1.0","source":{"id":"1006.5681","kind":"arxiv","version":1}},"canonical_sha256":"465f15dbb717f8e68fe2b4f0aa8b27b13c53d322ba45563f2b5c822b4d2fecaf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"465f15dbb717f8e68fe2b4f0aa8b27b13c53d322ba45563f2b5c822b4d2fecaf","first_computed_at":"2026-05-18T02:33:15.742691Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:15.742691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KxcYOapwwkuVS7diNZ4Wn2pY+4OXeCs1c5UZcphKQNaK6bJhasV5v4tYb87uff+1cjfR0sUGdyV6N9bhjRJFCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:15.743358Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.5681","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f1abaaf8cc9d45460ddbc1baec6f390c795e0db04cdd6c96b80830aa24ec521a","sha256:cbea66bda48dc2a9709a83ae3d43b4ef284a87339721191d769076b32c5f8c4b"],"state_sha256":"bb356000967e2a1a7ff0bf7531a48c0721cc610ca452f37562bc5417e0f63f08"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ILaw3rwa42v08ODD3PWCjiBkCzOp4BZ4Rmujc5KdZ+4rVZNnNu+j1MG+ejR8XJuN4e20dB28VziWFPQXOUEPCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T04:36:54.566121Z","bundle_sha256":"b3349e3590431b66a36447a2a2980cb1c672fe3e7ce02f28548ca4d8a3c5a84d"}}