{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:XZU2WFRY33INQBRMP6TUH4P4WI","short_pith_number":"pith:XZU2WFRY","schema_version":"1.0","canonical_sha256":"be69ab1638ded0d8062c7fa743f1fcb23cbe0465d212901a9216096f317a97c0","source":{"kind":"arxiv","id":"1411.2603","version":5},"attestation_state":"computed","paper":{"title":"On Functional Representations of the Conformal Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-ph"],"primary_cat":"hep-th","authors_text":"Oliver J. Rosten","submitted_at":"2014-11-10T21:01:53Z","abstract_excerpt":"Starting with conformally covariant correlation functions, a sequence of functional representations of the conformal algebra is constructed. A key step is the introduction of representations which involve an auxiliary functional. It is observed that these functionals are not arbitrary but rather must satisfy a pair of consistency equations corresponding to dilatation and special conformal invariance. In a particular representation, the former corresponds to the canonical form of the Exact Renormalization Group equation specialized to a fixed-point whereas the latter is new. This provides a con"},"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":"1411.2603","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-10T21:01:53Z","cross_cats_sorted":["cond-mat.stat-mech","hep-ph"],"title_canon_sha256":"54f8703065c4f7d3308b30dc4164c97bacdce41d7e463a04fa53d7fd10f6b897","abstract_canon_sha256":"789519dcf27f35637ad4fbcbbcfdbb9e0eadaa2b16cd30d5f1ead52aed0ba10a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:55.581972Z","signature_b64":"bODA1AO69d9gI2MA0Bw/aYhFXOIGoo0ZlSSgw/0jUj42Ml0aa+uk1HDvzLlHsSy8xhr1xzkEwo55vu9HptnWCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be69ab1638ded0d8062c7fa743f1fcb23cbe0465d212901a9216096f317a97c0","last_reissued_at":"2026-05-18T00:17:55.581348Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:55.581348Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On Functional Representations of the Conformal Algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-ph"],"primary_cat":"hep-th","authors_text":"Oliver J. Rosten","submitted_at":"2014-11-10T21:01:53Z","abstract_excerpt":"Starting with conformally covariant correlation functions, a sequence of functional representations of the conformal algebra is constructed. A key step is the introduction of representations which involve an auxiliary functional. It is observed that these functionals are not arbitrary but rather must satisfy a pair of consistency equations corresponding to dilatation and special conformal invariance. In a particular representation, the former corresponds to the canonical form of the Exact Renormalization Group equation specialized to a fixed-point whereas the latter is new. This provides a con"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2603","kind":"arxiv","version":5},"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":"1411.2603","created_at":"2026-05-18T00:17:55.581447+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.2603v5","created_at":"2026-05-18T00:17:55.581447+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2603","created_at":"2026-05-18T00:17:55.581447+00:00"},{"alias_kind":"pith_short_12","alias_value":"XZU2WFRY33IN","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_16","alias_value":"XZU2WFRY33INQBRM","created_at":"2026-05-18T12:28:57.508820+00:00"},{"alias_kind":"pith_short_8","alias_value":"XZU2WFRY","created_at":"2026-05-18T12:28:57.508820+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/XZU2WFRY33INQBRMP6TUH4P4WI","json":"https://pith.science/pith/XZU2WFRY33INQBRMP6TUH4P4WI.json","graph_json":"https://pith.science/api/pith-number/XZU2WFRY33INQBRMP6TUH4P4WI/graph.json","events_json":"https://pith.science/api/pith-number/XZU2WFRY33INQBRMP6TUH4P4WI/events.json","paper":"https://pith.science/paper/XZU2WFRY"},"agent_actions":{"view_html":"https://pith.science/pith/XZU2WFRY33INQBRMP6TUH4P4WI","download_json":"https://pith.science/pith/XZU2WFRY33INQBRMP6TUH4P4WI.json","view_paper":"https://pith.science/paper/XZU2WFRY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.2603&json=true","fetch_graph":"https://pith.science/api/pith-number/XZU2WFRY33INQBRMP6TUH4P4WI/graph.json","fetch_events":"https://pith.science/api/pith-number/XZU2WFRY33INQBRMP6TUH4P4WI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XZU2WFRY33INQBRMP6TUH4P4WI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XZU2WFRY33INQBRMP6TUH4P4WI/action/storage_attestation","attest_author":"https://pith.science/pith/XZU2WFRY33INQBRMP6TUH4P4WI/action/author_attestation","sign_citation":"https://pith.science/pith/XZU2WFRY33INQBRMP6TUH4P4WI/action/citation_signature","submit_replication":"https://pith.science/pith/XZU2WFRY33INQBRMP6TUH4P4WI/action/replication_record"}},"created_at":"2026-05-18T00:17:55.581447+00:00","updated_at":"2026-05-18T00:17:55.581447+00:00"}