{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:DIJ67TCJBMJKTQLZ3OMXKHNIBV","short_pith_number":"pith:DIJ67TCJ","canonical_record":{"source":{"id":"0901.2063","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-01-14T16:52:38Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"1ec471c12b17bfedf6f15aceba1923ed7fadcc1db2c6f66514a270c52f82b9bf","abstract_canon_sha256":"f6c17181a456a84a534fa97f3079c66188dcb89ba61e6fff526e35e85e15ddec"},"schema_version":"1.0"},"canonical_sha256":"1a13efcc490b12a9c179db99751da80d5070dfe5e6beb739402203177cc11236","source":{"kind":"arxiv","id":"0901.2063","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.2063","created_at":"2026-05-18T02:14:57Z"},{"alias_kind":"arxiv_version","alias_value":"0901.2063v1","created_at":"2026-05-18T02:14:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.2063","created_at":"2026-05-18T02:14:57Z"},{"alias_kind":"pith_short_12","alias_value":"DIJ67TCJBMJK","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"DIJ67TCJBMJKTQLZ","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"DIJ67TCJ","created_at":"2026-05-18T12:25:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:DIJ67TCJBMJKTQLZ3OMXKHNIBV","target":"record","payload":{"canonical_record":{"source":{"id":"0901.2063","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-01-14T16:52:38Z","cross_cats_sorted":["hep-th","math-ph","math.MP"],"title_canon_sha256":"1ec471c12b17bfedf6f15aceba1923ed7fadcc1db2c6f66514a270c52f82b9bf","abstract_canon_sha256":"f6c17181a456a84a534fa97f3079c66188dcb89ba61e6fff526e35e85e15ddec"},"schema_version":"1.0"},"canonical_sha256":"1a13efcc490b12a9c179db99751da80d5070dfe5e6beb739402203177cc11236","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:14:57.462570Z","signature_b64":"dfTOQceSNv6CMu2D1mvxh9SbDFraorhGhJ20jMmkNGLVAbDzemkxZTvddBjrH9eqd/8QoPxHvhxa7SA2Cop4BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a13efcc490b12a9c179db99751da80d5070dfe5e6beb739402203177cc11236","last_reissued_at":"2026-05-18T02:14:57.461976Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:14:57.461976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0901.2063","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":"2026-05-18T02:14:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pFHOV036mcR50qkAfOpe7WPB9wgk20EyPvEl7oQQL3KTIVOGQPxsm7KrEwilkAhkyGEMVRVCHpRftAJlMhXQCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T20:40:39.410992Z"},"content_sha256":"625febef56dd03053a30f14752af50b69b7c7249a7ef69abf782946375790cfa","schema_version":"1.0","event_id":"sha256:625febef56dd03053a30f14752af50b69b7c7249a7ef69abf782946375790cfa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:DIJ67TCJBMJKTQLZ3OMXKHNIBV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Field Theory on Curved Backgrounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP"],"primary_cat":"gr-qc","authors_text":"Klaus Fredenhagen, Romeo Brunetti","submitted_at":"2009-01-14T16:52:38Z","abstract_excerpt":"We review the status of (scalar) quantum field theory on curved spacetimes using a novel formulation in terms of non linear functionals over the smooth configuration fields. In particular, this entails also a new foundation of locally covariant classical field theory. For all that, methods from microlocal analysis combined with some methods from global analysis, namely differentiation on locally convex spaces, and category theory are crucially employed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.2063","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":"2026-05-18T02:14:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z0o+6dgc5tM6Se4d3SUeWYF8xR0d4jY9LjkIjzDzz3xEPIAav2zc2w27X8ihNx/bf9pxaxqhQ+MuvCjc9C/HDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T20:40:39.411525Z"},"content_sha256":"6b5d54930a5389859ab5301f4746106f1649143394c3e330b854aef1e3820080","schema_version":"1.0","event_id":"sha256:6b5d54930a5389859ab5301f4746106f1649143394c3e330b854aef1e3820080"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DIJ67TCJBMJKTQLZ3OMXKHNIBV/bundle.json","state_url":"https://pith.science/pith/DIJ67TCJBMJKTQLZ3OMXKHNIBV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DIJ67TCJBMJKTQLZ3OMXKHNIBV/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":"2026-08-17T20:40:39Z","links":{"resolver":"https://pith.science/pith/DIJ67TCJBMJKTQLZ3OMXKHNIBV","bundle":"https://pith.science/pith/DIJ67TCJBMJKTQLZ3OMXKHNIBV/bundle.json","state":"https://pith.science/pith/DIJ67TCJBMJKTQLZ3OMXKHNIBV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DIJ67TCJBMJKTQLZ3OMXKHNIBV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:DIJ67TCJBMJKTQLZ3OMXKHNIBV","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":"f6c17181a456a84a534fa97f3079c66188dcb89ba61e6fff526e35e85e15ddec","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-01-14T16:52:38Z","title_canon_sha256":"1ec471c12b17bfedf6f15aceba1923ed7fadcc1db2c6f66514a270c52f82b9bf"},"schema_version":"1.0","source":{"id":"0901.2063","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.2063","created_at":"2026-05-18T02:14:57Z"},{"alias_kind":"arxiv_version","alias_value":"0901.2063v1","created_at":"2026-05-18T02:14:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.2063","created_at":"2026-05-18T02:14:57Z"},{"alias_kind":"pith_short_12","alias_value":"DIJ67TCJBMJK","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_16","alias_value":"DIJ67TCJBMJKTQLZ","created_at":"2026-05-18T12:25:59Z"},{"alias_kind":"pith_short_8","alias_value":"DIJ67TCJ","created_at":"2026-05-18T12:25:59Z"}],"graph_snapshots":[{"event_id":"sha256:6b5d54930a5389859ab5301f4746106f1649143394c3e330b854aef1e3820080","target":"graph","created_at":"2026-05-18T02:14:57Z","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":"We review the status of (scalar) quantum field theory on curved spacetimes using a novel formulation in terms of non linear functionals over the smooth configuration fields. In particular, this entails also a new foundation of locally covariant classical field theory. For all that, methods from microlocal analysis combined with some methods from global analysis, namely differentiation on locally convex spaces, and category theory are crucially employed.","authors_text":"Klaus Fredenhagen, Romeo Brunetti","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-01-14T16:52:38Z","title":"Quantum Field Theory on Curved Backgrounds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.2063","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":"sha256:625febef56dd03053a30f14752af50b69b7c7249a7ef69abf782946375790cfa","target":"record","created_at":"2026-05-18T02:14:57Z","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":"f6c17181a456a84a534fa97f3079c66188dcb89ba61e6fff526e35e85e15ddec","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2009-01-14T16:52:38Z","title_canon_sha256":"1ec471c12b17bfedf6f15aceba1923ed7fadcc1db2c6f66514a270c52f82b9bf"},"schema_version":"1.0","source":{"id":"0901.2063","kind":"arxiv","version":1}},"canonical_sha256":"1a13efcc490b12a9c179db99751da80d5070dfe5e6beb739402203177cc11236","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a13efcc490b12a9c179db99751da80d5070dfe5e6beb739402203177cc11236","first_computed_at":"2026-05-18T02:14:57.461976Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:14:57.461976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dfTOQceSNv6CMu2D1mvxh9SbDFraorhGhJ20jMmkNGLVAbDzemkxZTvddBjrH9eqd/8QoPxHvhxa7SA2Cop4BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:14:57.462570Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.2063","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:625febef56dd03053a30f14752af50b69b7c7249a7ef69abf782946375790cfa","sha256:6b5d54930a5389859ab5301f4746106f1649143394c3e330b854aef1e3820080"],"state_sha256":"cfa611a2e351f7b598e7b3beaa5c605ed49ae48ac498981fb161ef93bd44f0cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TfoidMnMKSP4oghcLBcBArMa4xociXUQocMhwT63TF0V4xdQruLCuZmFs/cEJPPcDuMAcxDyxdI9WwTwAThlCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T20:40:39.417052Z","bundle_sha256":"a3d7a6b5b0ebe8257b561f2188544970562f7b80c620eac662d579d8fb306762"}}