{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:LJ5EX4XMSYM26BSUFIPRSR56P5","short_pith_number":"pith:LJ5EX4XM","schema_version":"1.0","canonical_sha256":"5a7a4bf2ec9619af06542a1f1947be7f7655377db2bdf86fbc0c261b4e4f6586","source":{"kind":"arxiv","id":"1105.3444","version":4},"attestation_state":"computed","paper":{"title":"The algebraic structure of Galilean superconformal symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Jerzy Lukierski, Sergey Fedoruk","submitted_at":"2011-05-17T18:00:59Z","abstract_excerpt":"The semisimple part of d-dimensional Galilean conformal algebra g^(d) is given by h^(d)=O(2,1)+O(d), which after adding via semidirect sum the 3d-dimensional Abelian algebra t^(d) of translations, Galilean boosts and constant accelerations completes the construction. We obtain Galilean superconformal algebra G^(d) by firstly defining the semisimple superalgebra H^(d) which supersymmetrizes h^(d), and further by considering the expansion of H^(d) by tensorial and spinorial graded Abelian charges in order to supersymmetrize the Abelian generators of t^(d). For d=3 the supersymmetrization of h^(3"},"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":"1105.3444","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2011-05-17T18:00:59Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"e30151803e91571d9f3c74a260187288f31a8a46809ffd25daf1517ea59c59f2","abstract_canon_sha256":"30d3aa084b6d2f9fa54e91e3e2648cfe16f042fecbf0e3322ba506a902dc498d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:12:10.349191Z","signature_b64":"okUtiT273miO9aUfAj/kWnUGJHR1N1dg2N0cR86P0MVZi/VjwqUXzGLaZwdmdtvTLTgdJ07/ULcV+mlU0ZOlBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5a7a4bf2ec9619af06542a1f1947be7f7655377db2bdf86fbc0c261b4e4f6586","last_reissued_at":"2026-05-18T04:12:10.348699Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:12:10.348699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The algebraic structure of Galilean superconformal symmetries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Jerzy Lukierski, Sergey Fedoruk","submitted_at":"2011-05-17T18:00:59Z","abstract_excerpt":"The semisimple part of d-dimensional Galilean conformal algebra g^(d) is given by h^(d)=O(2,1)+O(d), which after adding via semidirect sum the 3d-dimensional Abelian algebra t^(d) of translations, Galilean boosts and constant accelerations completes the construction. We obtain Galilean superconformal algebra G^(d) by firstly defining the semisimple superalgebra H^(d) which supersymmetrizes h^(d), and further by considering the expansion of H^(d) by tensorial and spinorial graded Abelian charges in order to supersymmetrize the Abelian generators of t^(d). For d=3 the supersymmetrization of h^(3"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3444","kind":"arxiv","version":4},"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":"1105.3444","created_at":"2026-05-18T04:12:10.348770+00:00"},{"alias_kind":"arxiv_version","alias_value":"1105.3444v4","created_at":"2026-05-18T04:12:10.348770+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3444","created_at":"2026-05-18T04:12:10.348770+00:00"},{"alias_kind":"pith_short_12","alias_value":"LJ5EX4XMSYM2","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_16","alias_value":"LJ5EX4XMSYM26BSU","created_at":"2026-05-18T12:26:34.985390+00:00"},{"alias_kind":"pith_short_8","alias_value":"LJ5EX4XM","created_at":"2026-05-18T12:26:34.985390+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.19356","citing_title":"Perfect fluid equations with nonrelativistic conformal supersymmetries","ref_index":34,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/LJ5EX4XMSYM26BSUFIPRSR56P5","json":"https://pith.science/pith/LJ5EX4XMSYM26BSUFIPRSR56P5.json","graph_json":"https://pith.science/api/pith-number/LJ5EX4XMSYM26BSUFIPRSR56P5/graph.json","events_json":"https://pith.science/api/pith-number/LJ5EX4XMSYM26BSUFIPRSR56P5/events.json","paper":"https://pith.science/paper/LJ5EX4XM"},"agent_actions":{"view_html":"https://pith.science/pith/LJ5EX4XMSYM26BSUFIPRSR56P5","download_json":"https://pith.science/pith/LJ5EX4XMSYM26BSUFIPRSR56P5.json","view_paper":"https://pith.science/paper/LJ5EX4XM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1105.3444&json=true","fetch_graph":"https://pith.science/api/pith-number/LJ5EX4XMSYM26BSUFIPRSR56P5/graph.json","fetch_events":"https://pith.science/api/pith-number/LJ5EX4XMSYM26BSUFIPRSR56P5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/LJ5EX4XMSYM26BSUFIPRSR56P5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/LJ5EX4XMSYM26BSUFIPRSR56P5/action/storage_attestation","attest_author":"https://pith.science/pith/LJ5EX4XMSYM26BSUFIPRSR56P5/action/author_attestation","sign_citation":"https://pith.science/pith/LJ5EX4XMSYM26BSUFIPRSR56P5/action/citation_signature","submit_replication":"https://pith.science/pith/LJ5EX4XMSYM26BSUFIPRSR56P5/action/replication_record"}},"created_at":"2026-05-18T04:12:10.348770+00:00","updated_at":"2026-05-18T04:12:10.348770+00:00"}