{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ZKML6XDTJ4UOZNGQXMBYQJK7AV","short_pith_number":"pith:ZKML6XDT","canonical_record":{"source":{"id":"1811.00993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-02T17:14:34Z","cross_cats_sorted":[],"title_canon_sha256":"de9cfae2c2d7945721a547001b7c78a51c3a46ad78f82ee3310def7f572ff1ad","abstract_canon_sha256":"2f05c54bfd7d5ce9e8d9966d8d7a23b77bf473df7f8a6210891425e5e23ba350"},"schema_version":"1.0"},"canonical_sha256":"ca98bf5c734f28ecb4d0bb0388255f0563dd9ebdd21fc03e184b36e6977b9bad","source":{"kind":"arxiv","id":"1811.00993","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.00993","created_at":"2026-05-17T23:59:04Z"},{"alias_kind":"arxiv_version","alias_value":"1811.00993v1","created_at":"2026-05-17T23:59:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.00993","created_at":"2026-05-17T23:59:04Z"},{"alias_kind":"pith_short_12","alias_value":"ZKML6XDTJ4UO","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZKML6XDTJ4UOZNGQ","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZKML6XDT","created_at":"2026-05-18T12:33:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ZKML6XDTJ4UOZNGQXMBYQJK7AV","target":"record","payload":{"canonical_record":{"source":{"id":"1811.00993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-02T17:14:34Z","cross_cats_sorted":[],"title_canon_sha256":"de9cfae2c2d7945721a547001b7c78a51c3a46ad78f82ee3310def7f572ff1ad","abstract_canon_sha256":"2f05c54bfd7d5ce9e8d9966d8d7a23b77bf473df7f8a6210891425e5e23ba350"},"schema_version":"1.0"},"canonical_sha256":"ca98bf5c734f28ecb4d0bb0388255f0563dd9ebdd21fc03e184b36e6977b9bad","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:04.263123Z","signature_b64":"jr/Wbw6TS4zpDDFYv55uKz10Vr1PtSnqDbvjYMSaH/XwxXknmcK4wSxBLe1eMThGrICajWjVDeVPu54OKC9nAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca98bf5c734f28ecb4d0bb0388255f0563dd9ebdd21fc03e184b36e6977b9bad","last_reissued_at":"2026-05-17T23:59:04.262719Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:04.262719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1811.00993","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":"2026-05-17T23:59:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nJcWe+2oTz7yI6ezITIZb5JuTqsh37jVjjyRST9/2LK3LX0CyK0ue/jmxd5q7utXl3wI7mf9X6lI/OdRS7JSCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T05:08:50.061804Z"},"content_sha256":"93dcb35f9ffe586d03595f0af88e5cb83bbe2880a635e9844fb61633c2e6b0df","schema_version":"1.0","event_id":"sha256:93dcb35f9ffe586d03595f0af88e5cb83bbe2880a635e9844fb61633c2e6b0df"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ZKML6XDTJ4UOZNGQXMBYQJK7AV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum fields in Bianchi type I spacetimes. The Kasner metrc","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Jerzy Matyjasek","submitted_at":"2018-11-02T17:14:34Z","abstract_excerpt":"Vacuum polarization of the quantized massive fields in Bianchi type I spacetime is investigated from the point of view of the adiabatic approximation and the Schwinger-DeWitt method. It is shown that both approaches give the same results that can be used in construction of the trace of the stress-energy tensor of the conformally coupled fields. The stress-energy tensor is calculated in the Bianchi type I spacetime and the back reaction of the quantized fields upon the Kasner geometry is studied. A special emphasis is put on the problem of isotropization, studied with the aid of the directional"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.00993","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":"2026-05-17T23:59:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"052ZVMDmG0g5p7qi11SObfQtCgdV8gNTmXNoXoyKtcFy2hXEaFJlhM0BtnIVQBwQR49ZGVYpIx/rWI/PlYIaCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T05:08:50.062539Z"},"content_sha256":"b5eb937022b2801072d1d0e60e99da6f692a7a84885b87f318b5b02e5ae859f6","schema_version":"1.0","event_id":"sha256:b5eb937022b2801072d1d0e60e99da6f692a7a84885b87f318b5b02e5ae859f6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZKML6XDTJ4UOZNGQXMBYQJK7AV/bundle.json","state_url":"https://pith.science/pith/ZKML6XDTJ4UOZNGQXMBYQJK7AV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZKML6XDTJ4UOZNGQXMBYQJK7AV/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":"2026-05-26T05:08:50Z","links":{"resolver":"https://pith.science/pith/ZKML6XDTJ4UOZNGQXMBYQJK7AV","bundle":"https://pith.science/pith/ZKML6XDTJ4UOZNGQXMBYQJK7AV/bundle.json","state":"https://pith.science/pith/ZKML6XDTJ4UOZNGQXMBYQJK7AV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZKML6XDTJ4UOZNGQXMBYQJK7AV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ZKML6XDTJ4UOZNGQXMBYQJK7AV","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":"2f05c54bfd7d5ce9e8d9966d8d7a23b77bf473df7f8a6210891425e5e23ba350","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-02T17:14:34Z","title_canon_sha256":"de9cfae2c2d7945721a547001b7c78a51c3a46ad78f82ee3310def7f572ff1ad"},"schema_version":"1.0","source":{"id":"1811.00993","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.00993","created_at":"2026-05-17T23:59:04Z"},{"alias_kind":"arxiv_version","alias_value":"1811.00993v1","created_at":"2026-05-17T23:59:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.00993","created_at":"2026-05-17T23:59:04Z"},{"alias_kind":"pith_short_12","alias_value":"ZKML6XDTJ4UO","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZKML6XDTJ4UOZNGQ","created_at":"2026-05-18T12:33:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZKML6XDT","created_at":"2026-05-18T12:33:07Z"}],"graph_snapshots":[{"event_id":"sha256:b5eb937022b2801072d1d0e60e99da6f692a7a84885b87f318b5b02e5ae859f6","target":"graph","created_at":"2026-05-17T23:59:04Z","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":"Vacuum polarization of the quantized massive fields in Bianchi type I spacetime is investigated from the point of view of the adiabatic approximation and the Schwinger-DeWitt method. It is shown that both approaches give the same results that can be used in construction of the trace of the stress-energy tensor of the conformally coupled fields. The stress-energy tensor is calculated in the Bianchi type I spacetime and the back reaction of the quantized fields upon the Kasner geometry is studied. A special emphasis is put on the problem of isotropization, studied with the aid of the directional","authors_text":"Jerzy Matyjasek","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-02T17:14:34Z","title":"Quantum fields in Bianchi type I spacetimes. The Kasner metrc"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.00993","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":"sha256:93dcb35f9ffe586d03595f0af88e5cb83bbe2880a635e9844fb61633c2e6b0df","target":"record","created_at":"2026-05-17T23:59:04Z","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":"2f05c54bfd7d5ce9e8d9966d8d7a23b77bf473df7f8a6210891425e5e23ba350","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-11-02T17:14:34Z","title_canon_sha256":"de9cfae2c2d7945721a547001b7c78a51c3a46ad78f82ee3310def7f572ff1ad"},"schema_version":"1.0","source":{"id":"1811.00993","kind":"arxiv","version":1}},"canonical_sha256":"ca98bf5c734f28ecb4d0bb0388255f0563dd9ebdd21fc03e184b36e6977b9bad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca98bf5c734f28ecb4d0bb0388255f0563dd9ebdd21fc03e184b36e6977b9bad","first_computed_at":"2026-05-17T23:59:04.262719Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:04.262719Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jr/Wbw6TS4zpDDFYv55uKz10Vr1PtSnqDbvjYMSaH/XwxXknmcK4wSxBLe1eMThGrICajWjVDeVPu54OKC9nAA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:04.263123Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.00993","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93dcb35f9ffe586d03595f0af88e5cb83bbe2880a635e9844fb61633c2e6b0df","sha256:b5eb937022b2801072d1d0e60e99da6f692a7a84885b87f318b5b02e5ae859f6"],"state_sha256":"f3011ffd45efda40ffd487bc31a1623cd289bf181adfccfc1e812225a5ebe615"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tE/d9S4gptLMPTQdpLAzpGkQxPR+DTsxI6hYJ4BIpWY8LWNWehGjBCFSEtxYknBkiIOxbj2tVGnXYp1jX8ewBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T05:08:50.066131Z","bundle_sha256":"988021b6d1808f7cec15a2b99506fc68b66d74557c7c520ee91a569f70cba041"}}