{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1998:CGJNPONXM4BOEGZHW4VNPTK4CX","short_pith_number":"pith:CGJNPONX","canonical_record":{"source":{"id":"hep-th/9811222","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1998-11-25T17:59:21Z","cross_cats_sorted":["gr-qc","math-ph","math.MP","quant-ph"],"title_canon_sha256":"6f40e96407a8dc3e33748302fc2c1e18550908bfa17816dfabdec222449b3b5c","abstract_canon_sha256":"6db4bfad80a6b96914b21ccfb2ccfb74a473beb239690887fdfcbe45a095bda5"},"schema_version":"1.0"},"canonical_sha256":"1192d7b9b76702e21b27b72ad7cd5c15d5177753114423f9962b87246dcec84f","source":{"kind":"arxiv","id":"hep-th/9811222","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9811222","created_at":"2026-07-04T16:10:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9811222v2","created_at":"2026-07-04T16:10:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9811222","created_at":"2026-07-04T16:10:05Z"},{"alias_kind":"pith_short_12","alias_value":"CGJNPONXM4BO","created_at":"2026-07-04T16:10:05Z"},{"alias_kind":"pith_short_16","alias_value":"CGJNPONXM4BOEGZH","created_at":"2026-07-04T16:10:05Z"},{"alias_kind":"pith_short_8","alias_value":"CGJNPONX","created_at":"2026-07-04T16:10:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1998:CGJNPONXM4BOEGZHW4VNPTK4CX","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9811222","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1998-11-25T17:59:21Z","cross_cats_sorted":["gr-qc","math-ph","math.MP","quant-ph"],"title_canon_sha256":"6f40e96407a8dc3e33748302fc2c1e18550908bfa17816dfabdec222449b3b5c","abstract_canon_sha256":"6db4bfad80a6b96914b21ccfb2ccfb74a473beb239690887fdfcbe45a095bda5"},"schema_version":"1.0"},"canonical_sha256":"1192d7b9b76702e21b27b72ad7cd5c15d5177753114423f9962b87246dcec84f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:10:05.133054Z","signature_b64":"Jvn3QMkWbj1IhCT+v2aStJ8X6I3InXPmUM+t1AkwTOiBaFMshyFxtWEP9vUXPMtuNvFo3nA1fnL+Hr39Oi3rCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1192d7b9b76702e21b27b72ad7cd5c15d5177753114423f9962b87246dcec84f","last_reissued_at":"2026-07-04T16:10:05.132574Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:10:05.132574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9811222","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T16:10:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vTLzhWcdQRM9vOMAEIduFzWm7KXj/GV0gg5oXBvcJzUubXtV7YBVqA1iJnz6xgnSux5Sdtedvj4BlY8tt9wfBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T02:23:12.945899Z"},"content_sha256":"2fecb433764c5d6ccf706c01d7a962e9061d83a7613053a570fad4e8f12721ab","schema_version":"1.0","event_id":"sha256:2fecb433764c5d6ccf706c01d7a962e9061d83a7613053a570fad4e8f12721ab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1998:CGJNPONXM4BOEGZHW4VNPTK4CX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Functional Evolution of Free Quantum Fields","license":"","headline":"","cross_cats":["gr-qc","math-ph","math.MP","quant-ph"],"primary_cat":"hep-th","authors_text":"C. G. Torre, M. Varadarajan","submitted_at":"1998-11-25T17:59:21Z","abstract_excerpt":"We consider the problem of evolving a quantum field between any two (in general, curved) Cauchy surfaces. Classically, this dynamical evolution is represented by a canonical transformation on the phase space for the field theory. We show that this canonical transformation cannot, in general, be unitarily implemented on the Fock space for free quantum fields on flat spacetimes of dimension greater than 2. We do this by considering time evolution of a free Klein-Gordon field on a flat spacetime (with toroidal Cauchy surfaces) starting from a flat initial surface and ending on a generic final sur"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9811222","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9811222/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:10:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TiFA6yB3kPEBHT2bmF9MrWX2zHbKsNMx49BZGBcXpKZuiSv6AFJxyeSgJRKxFtpdiYvKNcol6OwMK8zrHCcuAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T02:23:12.946286Z"},"content_sha256":"40f7db2844d0f1722ede23f67eda4533450fbfddfad8033e2d6b07a9f335d201","schema_version":"1.0","event_id":"sha256:40f7db2844d0f1722ede23f67eda4533450fbfddfad8033e2d6b07a9f335d201"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CGJNPONXM4BOEGZHW4VNPTK4CX/bundle.json","state_url":"https://pith.science/pith/CGJNPONXM4BOEGZHW4VNPTK4CX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CGJNPONXM4BOEGZHW4VNPTK4CX/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":"2026-08-21T02:23:12Z","links":{"resolver":"https://pith.science/pith/CGJNPONXM4BOEGZHW4VNPTK4CX","bundle":"https://pith.science/pith/CGJNPONXM4BOEGZHW4VNPTK4CX/bundle.json","state":"https://pith.science/pith/CGJNPONXM4BOEGZHW4VNPTK4CX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CGJNPONXM4BOEGZHW4VNPTK4CX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:CGJNPONXM4BOEGZHW4VNPTK4CX","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":"6db4bfad80a6b96914b21ccfb2ccfb74a473beb239690887fdfcbe45a095bda5","cross_cats_sorted":["gr-qc","math-ph","math.MP","quant-ph"],"license":"","primary_cat":"hep-th","submitted_at":"1998-11-25T17:59:21Z","title_canon_sha256":"6f40e96407a8dc3e33748302fc2c1e18550908bfa17816dfabdec222449b3b5c"},"schema_version":"1.0","source":{"id":"hep-th/9811222","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9811222","created_at":"2026-07-04T16:10:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9811222v2","created_at":"2026-07-04T16:10:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9811222","created_at":"2026-07-04T16:10:05Z"},{"alias_kind":"pith_short_12","alias_value":"CGJNPONXM4BO","created_at":"2026-07-04T16:10:05Z"},{"alias_kind":"pith_short_16","alias_value":"CGJNPONXM4BOEGZH","created_at":"2026-07-04T16:10:05Z"},{"alias_kind":"pith_short_8","alias_value":"CGJNPONX","created_at":"2026-07-04T16:10:05Z"}],"graph_snapshots":[{"event_id":"sha256:40f7db2844d0f1722ede23f67eda4533450fbfddfad8033e2d6b07a9f335d201","target":"graph","created_at":"2026-07-04T16:10:05Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/9811222/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the problem of evolving a quantum field between any two (in general, curved) Cauchy surfaces. Classically, this dynamical evolution is represented by a canonical transformation on the phase space for the field theory. We show that this canonical transformation cannot, in general, be unitarily implemented on the Fock space for free quantum fields on flat spacetimes of dimension greater than 2. We do this by considering time evolution of a free Klein-Gordon field on a flat spacetime (with toroidal Cauchy surfaces) starting from a flat initial surface and ending on a generic final sur","authors_text":"C. G. Torre, M. Varadarajan","cross_cats":["gr-qc","math-ph","math.MP","quant-ph"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1998-11-25T17:59:21Z","title":"Functional Evolution of Free Quantum Fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9811222","kind":"arxiv","version":2},"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":"sha256:2fecb433764c5d6ccf706c01d7a962e9061d83a7613053a570fad4e8f12721ab","target":"record","created_at":"2026-07-04T16:10:05Z","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":"6db4bfad80a6b96914b21ccfb2ccfb74a473beb239690887fdfcbe45a095bda5","cross_cats_sorted":["gr-qc","math-ph","math.MP","quant-ph"],"license":"","primary_cat":"hep-th","submitted_at":"1998-11-25T17:59:21Z","title_canon_sha256":"6f40e96407a8dc3e33748302fc2c1e18550908bfa17816dfabdec222449b3b5c"},"schema_version":"1.0","source":{"id":"hep-th/9811222","kind":"arxiv","version":2}},"canonical_sha256":"1192d7b9b76702e21b27b72ad7cd5c15d5177753114423f9962b87246dcec84f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1192d7b9b76702e21b27b72ad7cd5c15d5177753114423f9962b87246dcec84f","first_computed_at":"2026-07-04T16:10:05.132574Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:10:05.132574Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Jvn3QMkWbj1IhCT+v2aStJ8X6I3InXPmUM+t1AkwTOiBaFMshyFxtWEP9vUXPMtuNvFo3nA1fnL+Hr39Oi3rCw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:10:05.133054Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9811222","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2fecb433764c5d6ccf706c01d7a962e9061d83a7613053a570fad4e8f12721ab","sha256:40f7db2844d0f1722ede23f67eda4533450fbfddfad8033e2d6b07a9f335d201"],"state_sha256":"c421940d9942fb822ffa3c510712fb1a730f928da98022e6ff5971d7c941e1fe"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"euSSQZ36nsZw9kEef8KtXgYqYPfmaheBNVMXamGMp1bGoFG6vYNfoEVHgv9bpjRCAbyzHBpovupnggHmkyNXBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T02:23:12.948788Z","bundle_sha256":"0626b39457dbe4b7211413c585977c26ce8e604cf30f147eb1d636616e7e82e8"}}