{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:EZI6GLMI4BIJLKSVJBBYJDXPOY","short_pith_number":"pith:EZI6GLMI","schema_version":"1.0","canonical_sha256":"2651e32d88e05095aa554843848eef7602f9b6a602fd583ad5bdda3db6d3be0c","source":{"kind":"arxiv","id":"1408.2238","version":1},"attestation_state":"computed","paper":{"title":"Conformal superalgebras via tractor calculus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Andree Lischewski","submitted_at":"2014-08-10T14:59:34Z","abstract_excerpt":"We use the manifestly conformally invariant description of a Lorentzian conformal structure in terms of a parabolic Cartan geometry in order to introduce a superalgebra structure on the space of twistor spinors and normal conformal vector fields formulated in purely algebraic terms on parallel sections in tractor bundles. Via a fixed metric in the conformal class, one reproduces a conformal superalgebra structure which has been considered in the literature before. The tractor approach, however, makes clear that the failure of this object to be a Lie superalgebra in certain cases is due to pure"},"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":"1408.2238","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-08-10T14:59:34Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"d5f3720a15a51c4f769fe3fdc9ad607006048eb8c4629c93ab603bc741d30829","abstract_canon_sha256":"3d3d4ab5982c6542d7ba23212a6ea26a1a4425812a5547bc198fc0dc74940a42"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:22.104348Z","signature_b64":"0d6zpXlgzenzqtQzwP4zGe/5qo64wNcN5GjBi5Dbc22j6vDElF2OQl3Kx7TlpQG3f/DoC7XG57Ay6ZUWyClEDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2651e32d88e05095aa554843848eef7602f9b6a602fd583ad5bdda3db6d3be0c","last_reissued_at":"2026-05-18T01:42:22.103739Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:22.103739Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conformal superalgebras via tractor calculus","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Andree Lischewski","submitted_at":"2014-08-10T14:59:34Z","abstract_excerpt":"We use the manifestly conformally invariant description of a Lorentzian conformal structure in terms of a parabolic Cartan geometry in order to introduce a superalgebra structure on the space of twistor spinors and normal conformal vector fields formulated in purely algebraic terms on parallel sections in tractor bundles. Via a fixed metric in the conformal class, one reproduces a conformal superalgebra structure which has been considered in the literature before. The tractor approach, however, makes clear that the failure of this object to be a Lie superalgebra in certain cases is due to pure"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.2238","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1408.2238","created_at":"2026-05-18T01:42:22.103842+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.2238v1","created_at":"2026-05-18T01:42:22.103842+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.2238","created_at":"2026-05-18T01:42:22.103842+00:00"},{"alias_kind":"pith_short_12","alias_value":"EZI6GLMI4BIJ","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_16","alias_value":"EZI6GLMI4BIJLKSV","created_at":"2026-05-18T12:28:28.263976+00:00"},{"alias_kind":"pith_short_8","alias_value":"EZI6GLMI","created_at":"2026-05-18T12:28:28.263976+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/EZI6GLMI4BIJLKSVJBBYJDXPOY","json":"https://pith.science/pith/EZI6GLMI4BIJLKSVJBBYJDXPOY.json","graph_json":"https://pith.science/api/pith-number/EZI6GLMI4BIJLKSVJBBYJDXPOY/graph.json","events_json":"https://pith.science/api/pith-number/EZI6GLMI4BIJLKSVJBBYJDXPOY/events.json","paper":"https://pith.science/paper/EZI6GLMI"},"agent_actions":{"view_html":"https://pith.science/pith/EZI6GLMI4BIJLKSVJBBYJDXPOY","download_json":"https://pith.science/pith/EZI6GLMI4BIJLKSVJBBYJDXPOY.json","view_paper":"https://pith.science/paper/EZI6GLMI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.2238&json=true","fetch_graph":"https://pith.science/api/pith-number/EZI6GLMI4BIJLKSVJBBYJDXPOY/graph.json","fetch_events":"https://pith.science/api/pith-number/EZI6GLMI4BIJLKSVJBBYJDXPOY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EZI6GLMI4BIJLKSVJBBYJDXPOY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EZI6GLMI4BIJLKSVJBBYJDXPOY/action/storage_attestation","attest_author":"https://pith.science/pith/EZI6GLMI4BIJLKSVJBBYJDXPOY/action/author_attestation","sign_citation":"https://pith.science/pith/EZI6GLMI4BIJLKSVJBBYJDXPOY/action/citation_signature","submit_replication":"https://pith.science/pith/EZI6GLMI4BIJLKSVJBBYJDXPOY/action/replication_record"}},"created_at":"2026-05-18T01:42:22.103842+00:00","updated_at":"2026-05-18T01:42:22.103842+00:00"}