{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2002:BMYHZY7UUYHBKLHLQ3R2THWJW6","short_pith_number":"pith:BMYHZY7U","schema_version":"1.0","canonical_sha256":"0b307ce3f4a60e152ceb86e3a99ec9b7bd8f61d7507808f536d3e081a44f5079","source":{"kind":"arxiv","id":"math-ph/0201016","version":3},"attestation_state":"computed","paper":{"title":"Conformal Transformations as Observables","license":"","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Soeren Koester","submitted_at":"2002-01-08T20:17:29Z","abstract_excerpt":"C denotes either the conformal group in 3+1 dimensions, or in one chiral dimension. Let U be a unitary, strongly continuous representation of C satisfying the spectrum condition and inducing, by its adjoint action, automorphisms of a v.Neumann algebra A. We construct the unique inner representation U^A of the universal covering group of C implementing these automorphisms. U^A satisfies the spectrum condition and acts trivially on any U-invariant vector.\n  This means in particular: Conformal transformations of a field theory having positive energy are weak limit points of local observables. Som"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"math-ph/0201016","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"math-ph","submitted_at":"2002-01-08T20:17:29Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"c0982f85239dfdaa44081c009d33e9b3c8cb0323ba5b6725424144216828722b","abstract_canon_sha256":"f2ac7f487b8a62045b6d0b5c07c129293913a1baec39f7460a1ae8eac303e43d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:15:19.562795Z","signature_b64":"YzMLEov1KA+5bI+eSDGG98QYygw3DXqioHMopZakQastqAyOKbNNrJCkgJCWEuBRMTIc2z0n9/+wLOktMJ7HAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0b307ce3f4a60e152ceb86e3a99ec9b7bd8f61d7507808f536d3e081a44f5079","last_reissued_at":"2026-05-18T04:15:19.562063Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:15:19.562063Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conformal Transformations as Observables","license":"","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Soeren Koester","submitted_at":"2002-01-08T20:17:29Z","abstract_excerpt":"C denotes either the conformal group in 3+1 dimensions, or in one chiral dimension. Let U be a unitary, strongly continuous representation of C satisfying the spectrum condition and inducing, by its adjoint action, automorphisms of a v.Neumann algebra A. We construct the unique inner representation U^A of the universal covering group of C implementing these automorphisms. U^A satisfies the spectrum condition and acts trivially on any U-invariant vector.\n  This means in particular: Conformal transformations of a field theory having positive energy are weak limit points of local observables. Som"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/0201016","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/0201016","created_at":"2026-05-18T04:15:19.562173+00:00"},{"alias_kind":"arxiv_version","alias_value":"math-ph/0201016v3","created_at":"2026-05-18T04:15:19.562173+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/0201016","created_at":"2026-05-18T04:15:19.562173+00:00"},{"alias_kind":"pith_short_12","alias_value":"BMYHZY7UUYHB","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_16","alias_value":"BMYHZY7UUYHBKLHL","created_at":"2026-05-18T12:25:50.845339+00:00"},{"alias_kind":"pith_short_8","alias_value":"BMYHZY7U","created_at":"2026-05-18T12:25:50.845339+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/BMYHZY7UUYHBKLHLQ3R2THWJW6","json":"https://pith.science/pith/BMYHZY7UUYHBKLHLQ3R2THWJW6.json","graph_json":"https://pith.science/api/pith-number/BMYHZY7UUYHBKLHLQ3R2THWJW6/graph.json","events_json":"https://pith.science/api/pith-number/BMYHZY7UUYHBKLHLQ3R2THWJW6/events.json","paper":"https://pith.science/paper/BMYHZY7U"},"agent_actions":{"view_html":"https://pith.science/pith/BMYHZY7UUYHBKLHLQ3R2THWJW6","download_json":"https://pith.science/pith/BMYHZY7UUYHBKLHLQ3R2THWJW6.json","view_paper":"https://pith.science/paper/BMYHZY7U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math-ph/0201016&json=true","fetch_graph":"https://pith.science/api/pith-number/BMYHZY7UUYHBKLHLQ3R2THWJW6/graph.json","fetch_events":"https://pith.science/api/pith-number/BMYHZY7UUYHBKLHLQ3R2THWJW6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BMYHZY7UUYHBKLHLQ3R2THWJW6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BMYHZY7UUYHBKLHLQ3R2THWJW6/action/storage_attestation","attest_author":"https://pith.science/pith/BMYHZY7UUYHBKLHLQ3R2THWJW6/action/author_attestation","sign_citation":"https://pith.science/pith/BMYHZY7UUYHBKLHLQ3R2THWJW6/action/citation_signature","submit_replication":"https://pith.science/pith/BMYHZY7UUYHBKLHLQ3R2THWJW6/action/replication_record"}},"created_at":"2026-05-18T04:15:19.562173+00:00","updated_at":"2026-05-18T04:15:19.562173+00:00"}