{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:QHRHALICEHHPLWL23QPW4JVECX","short_pith_number":"pith:QHRHALIC","canonical_record":{"source":{"id":"1710.01937","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-05T09:27:49Z","cross_cats_sorted":["gr-qc","hep-th","math.MP"],"title_canon_sha256":"c3956409337fce50574936f60541a0f152e1ca1962853760dafdc374df530251","abstract_canon_sha256":"d9e035d38c75f9dd94592db7559ce3401b0ecd86fc9b8a73602a4ee5e32085d1"},"schema_version":"1.0"},"canonical_sha256":"81e2702d0221cef5d97adc1f6e26a415d397a728437acb2f0769ace5cad2fe6a","source":{"kind":"arxiv","id":"1710.01937","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.01937","created_at":"2026-05-17T23:52:29Z"},{"alias_kind":"arxiv_version","alias_value":"1710.01937v2","created_at":"2026-05-17T23:52:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01937","created_at":"2026-05-17T23:52:29Z"},{"alias_kind":"pith_short_12","alias_value":"QHRHALICEHHP","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QHRHALICEHHPLWL2","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QHRHALIC","created_at":"2026-05-18T12:31:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:QHRHALICEHHPLWL23QPW4JVECX","target":"record","payload":{"canonical_record":{"source":{"id":"1710.01937","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-05T09:27:49Z","cross_cats_sorted":["gr-qc","hep-th","math.MP"],"title_canon_sha256":"c3956409337fce50574936f60541a0f152e1ca1962853760dafdc374df530251","abstract_canon_sha256":"d9e035d38c75f9dd94592db7559ce3401b0ecd86fc9b8a73602a4ee5e32085d1"},"schema_version":"1.0"},"canonical_sha256":"81e2702d0221cef5d97adc1f6e26a415d397a728437acb2f0769ace5cad2fe6a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:29.421501Z","signature_b64":"rp0bAuj46OOOjSI1ODRb/U6paJTOQR/IX/LAFbG+H9MgTyCXoDrgG+riUEXl9RppJaSV5y6rSwS+wyjNqx9FDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81e2702d0221cef5d97adc1f6e26a415d397a728437acb2f0769ace5cad2fe6a","last_reissued_at":"2026-05-17T23:52:29.420980Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:29.420980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.01937","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":"2026-05-17T23:52:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9jmHjqBk55Wkg7M5bwmYh6if1gzLYB7IWD+/NOrsRdBAQlps9qu3hhQBI0qcFH8tE2Rv2Kx1Q4a+LvotauM1Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:58:01.146423Z"},"content_sha256":"e94b48ccc01985087a4403fee04b2e9a8cd898b96dd3aca633a16f81e2b7456e","schema_version":"1.0","event_id":"sha256:e94b48ccc01985087a4403fee04b2e9a8cd898b96dd3aca633a16f81e2b7456e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:QHRHALICEHHPLWL23QPW4JVECX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Wick polynomials of boson fields in locally covariant algebraic QFT","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Alberto Melati, Igor Khavkine, Valter Moretti","submitted_at":"2017-10-05T09:27:49Z","abstract_excerpt":"This work presents some results about Wick polynomials of a vector field renormalization in locally covariant algebraic quantum field theory in curved spacetime. General vector fields are pictured as sections of natural vector bundles over globally hyperbolic spacetimes and quantized through the known functorial machinery in terms of local $^*$-algebras. These quantized fields may be defined on spacetimes with given classical background fields, also sections of natural vector bundles, in addition to the Lorentzian metric. The mass and the coupling constants are in particular viewed as backgrou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01937","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":""},"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":"2026-05-17T23:52:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IlKOr5jMExIH0YjvoMk/y/Y34o2Wwuyczjz5dl/cySGAOBN7/nj/+ge4t75J890DLKQS8Q9HccSANXKNatfHBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:58:01.146774Z"},"content_sha256":"ac19a8fc13b94b2f71cfdbf1e8a1a9fdec3e60bbf8d4f846d33db5718c2edda0","schema_version":"1.0","event_id":"sha256:ac19a8fc13b94b2f71cfdbf1e8a1a9fdec3e60bbf8d4f846d33db5718c2edda0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QHRHALICEHHPLWL23QPW4JVECX/bundle.json","state_url":"https://pith.science/pith/QHRHALICEHHPLWL23QPW4JVECX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QHRHALICEHHPLWL23QPW4JVECX/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":"2026-06-05T10:58:01Z","links":{"resolver":"https://pith.science/pith/QHRHALICEHHPLWL23QPW4JVECX","bundle":"https://pith.science/pith/QHRHALICEHHPLWL23QPW4JVECX/bundle.json","state":"https://pith.science/pith/QHRHALICEHHPLWL23QPW4JVECX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QHRHALICEHHPLWL23QPW4JVECX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:QHRHALICEHHPLWL23QPW4JVECX","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":"d9e035d38c75f9dd94592db7559ce3401b0ecd86fc9b8a73602a4ee5e32085d1","cross_cats_sorted":["gr-qc","hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-05T09:27:49Z","title_canon_sha256":"c3956409337fce50574936f60541a0f152e1ca1962853760dafdc374df530251"},"schema_version":"1.0","source":{"id":"1710.01937","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.01937","created_at":"2026-05-17T23:52:29Z"},{"alias_kind":"arxiv_version","alias_value":"1710.01937v2","created_at":"2026-05-17T23:52:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.01937","created_at":"2026-05-17T23:52:29Z"},{"alias_kind":"pith_short_12","alias_value":"QHRHALICEHHP","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_16","alias_value":"QHRHALICEHHPLWL2","created_at":"2026-05-18T12:31:39Z"},{"alias_kind":"pith_short_8","alias_value":"QHRHALIC","created_at":"2026-05-18T12:31:39Z"}],"graph_snapshots":[{"event_id":"sha256:ac19a8fc13b94b2f71cfdbf1e8a1a9fdec3e60bbf8d4f846d33db5718c2edda0","target":"graph","created_at":"2026-05-17T23:52:29Z","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":"This work presents some results about Wick polynomials of a vector field renormalization in locally covariant algebraic quantum field theory in curved spacetime. General vector fields are pictured as sections of natural vector bundles over globally hyperbolic spacetimes and quantized through the known functorial machinery in terms of local $^*$-algebras. These quantized fields may be defined on spacetimes with given classical background fields, also sections of natural vector bundles, in addition to the Lorentzian metric. The mass and the coupling constants are in particular viewed as backgrou","authors_text":"Alberto Melati, Igor Khavkine, Valter Moretti","cross_cats":["gr-qc","hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-05T09:27:49Z","title":"On Wick polynomials of boson fields in locally covariant algebraic QFT"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.01937","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:e94b48ccc01985087a4403fee04b2e9a8cd898b96dd3aca633a16f81e2b7456e","target":"record","created_at":"2026-05-17T23:52:29Z","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":"d9e035d38c75f9dd94592db7559ce3401b0ecd86fc9b8a73602a4ee5e32085d1","cross_cats_sorted":["gr-qc","hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-05T09:27:49Z","title_canon_sha256":"c3956409337fce50574936f60541a0f152e1ca1962853760dafdc374df530251"},"schema_version":"1.0","source":{"id":"1710.01937","kind":"arxiv","version":2}},"canonical_sha256":"81e2702d0221cef5d97adc1f6e26a415d397a728437acb2f0769ace5cad2fe6a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"81e2702d0221cef5d97adc1f6e26a415d397a728437acb2f0769ace5cad2fe6a","first_computed_at":"2026-05-17T23:52:29.420980Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:29.420980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rp0bAuj46OOOjSI1ODRb/U6paJTOQR/IX/LAFbG+H9MgTyCXoDrgG+riUEXl9RppJaSV5y6rSwS+wyjNqx9FDw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:29.421501Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.01937","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e94b48ccc01985087a4403fee04b2e9a8cd898b96dd3aca633a16f81e2b7456e","sha256:ac19a8fc13b94b2f71cfdbf1e8a1a9fdec3e60bbf8d4f846d33db5718c2edda0"],"state_sha256":"113f148c3afaacfc1d774f9fd26e03be6be7929b9b1fb50ed7ded1bccb8d8327"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7HIAXn6qz0rDdIBYWwi41OQ+nzVc1nWtSijgQLsy0IQpN8g9I4hPrq1tfCGwAyZkenuZTZ7Ar3D6oUotMEAzAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T10:58:01.148814Z","bundle_sha256":"7a99ee11fd1b9166c91fdf1ee932be6f80eb7cd9f796cc5f436de3f74c29a605"}}