{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:GINP5HG3M24QKHSIPC3NQWW7Q3","short_pith_number":"pith:GINP5HG3","schema_version":"1.0","canonical_sha256":"321afe9cdb66b9051e4878b6d85adf86f3f052a91a8c6e1904de674ae9075fcd","source":{"kind":"arxiv","id":"1206.2708","version":2},"attestation_state":"computed","paper":{"title":"N = 2 Galilean superconformal algebras with central extension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"N. Aizawa","submitted_at":"2012-06-13T03:22:33Z","abstract_excerpt":"N = 2 Supersymmetric extensions of Galilean conformal algebra (GCA), specified by spin \\ell and dimension of space d, are investigated. Duval and Horvathy showed that the \\ell = 1/2 GCA has two types of supersymmetric extensions, called standard and exotic. Recently, Masterov intorduced a centerless super-GCA for arbitrary \\ell wchich corresponds to the standard extension. We show that the Masterov's super-GCA has two types of central extensions depending on the parity of 2\\ell. We then introduced a novel super-GCA for arbitrary \\ell corresponding to the exotic extension. It is shown that the "},"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":"1206.2708","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-06-13T03:22:33Z","cross_cats_sorted":["hep-th","math.MP"],"title_canon_sha256":"84fc7b03b1b748cb619b5305bce9d4ed421576fdfdffa9b5d20495079a482b64","abstract_canon_sha256":"f07b8ecc4067602fbeddf0e2842b4166905a67953d475dd49310672c6a279269"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:41:12.399033Z","signature_b64":"ozVhi8hMjB7jgXDeGeuYpGhDUS0xKnaNWQAMm5xRR8VJAYjxVZ/V3PQ/AFnAsRdW4rpxllbN4l1MWy4BPUOXAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"321afe9cdb66b9051e4878b6d85adf86f3f052a91a8c6e1904de674ae9075fcd","last_reissued_at":"2026-05-18T03:41:12.398488Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:41:12.398488Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"N = 2 Galilean superconformal algebras with central extension","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"N. Aizawa","submitted_at":"2012-06-13T03:22:33Z","abstract_excerpt":"N = 2 Supersymmetric extensions of Galilean conformal algebra (GCA), specified by spin \\ell and dimension of space d, are investigated. Duval and Horvathy showed that the \\ell = 1/2 GCA has two types of supersymmetric extensions, called standard and exotic. Recently, Masterov intorduced a centerless super-GCA for arbitrary \\ell wchich corresponds to the standard extension. We show that the Masterov's super-GCA has two types of central extensions depending on the parity of 2\\ell. We then introduced a novel super-GCA for arbitrary \\ell corresponding to the exotic extension. It is shown that the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2708","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1206.2708","created_at":"2026-05-18T03:41:12.398584+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.2708v2","created_at":"2026-05-18T03:41:12.398584+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2708","created_at":"2026-05-18T03:41:12.398584+00:00"},{"alias_kind":"pith_short_12","alias_value":"GINP5HG3M24Q","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_16","alias_value":"GINP5HG3M24QKHSI","created_at":"2026-05-18T12:27:06.952714+00:00"},{"alias_kind":"pith_short_8","alias_value":"GINP5HG3","created_at":"2026-05-18T12:27:06.952714+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":36,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GINP5HG3M24QKHSIPC3NQWW7Q3","json":"https://pith.science/pith/GINP5HG3M24QKHSIPC3NQWW7Q3.json","graph_json":"https://pith.science/api/pith-number/GINP5HG3M24QKHSIPC3NQWW7Q3/graph.json","events_json":"https://pith.science/api/pith-number/GINP5HG3M24QKHSIPC3NQWW7Q3/events.json","paper":"https://pith.science/paper/GINP5HG3"},"agent_actions":{"view_html":"https://pith.science/pith/GINP5HG3M24QKHSIPC3NQWW7Q3","download_json":"https://pith.science/pith/GINP5HG3M24QKHSIPC3NQWW7Q3.json","view_paper":"https://pith.science/paper/GINP5HG3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.2708&json=true","fetch_graph":"https://pith.science/api/pith-number/GINP5HG3M24QKHSIPC3NQWW7Q3/graph.json","fetch_events":"https://pith.science/api/pith-number/GINP5HG3M24QKHSIPC3NQWW7Q3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GINP5HG3M24QKHSIPC3NQWW7Q3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GINP5HG3M24QKHSIPC3NQWW7Q3/action/storage_attestation","attest_author":"https://pith.science/pith/GINP5HG3M24QKHSIPC3NQWW7Q3/action/author_attestation","sign_citation":"https://pith.science/pith/GINP5HG3M24QKHSIPC3NQWW7Q3/action/citation_signature","submit_replication":"https://pith.science/pith/GINP5HG3M24QKHSIPC3NQWW7Q3/action/replication_record"}},"created_at":"2026-05-18T03:41:12.398584+00:00","updated_at":"2026-05-18T03:41:12.398584+00:00"}