{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:QZCNIDM5D4HSDEFU7U45DGVHL7","short_pith_number":"pith:QZCNIDM5","schema_version":"1.0","canonical_sha256":"8644d40d9d1f0f2190b4fd39d19aa75fcf00480fd1e3c175acd8bc2c71e66fe8","source":{"kind":"arxiv","id":"1506.04377","version":2},"attestation_state":"computed","paper":{"title":"Centrally Extended Conformal Galilei Algebras and Invariant Nonlinear PDEs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Naruhiko Aizawa, Tadanori Kato","submitted_at":"2015-06-14T11:01:05Z","abstract_excerpt":"We construct, for any given $ \\ell = \\frac{1}{2} + {\\mathbb N}_0, $ the second-order \\textit{nonlinear} partial differential equations (PDEs) which are invariant under the transformations generated by the centrally extended conformal Galilei algebras. The generators are obtained by a coset construction and the PDEs are constructed by standard Lie symmetry technique. It is observed that the invariant PDEs have significant difference for $ \\ell > \\frac{3}{2}. $"},"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":"1506.04377","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-06-14T11:01:05Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"eda33317df6f8c54297948736b07ea0f2d330e2fb334fa2f93636a57ef641734","abstract_canon_sha256":"bdc00016b92e5258d172ea09b0abf2645da22e1dda10efb9aa243183ba1427b5"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:27:53.957938Z","signature_b64":"OdExZ4wqJeDEcdtj7ZchNjqe030b57YZ/30qmGlxE/uWVOMxA96B/YiDaOzJ5yvT4QXZmxCmD6XWWlRlcuP4Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8644d40d9d1f0f2190b4fd39d19aa75fcf00480fd1e3c175acd8bc2c71e66fe8","last_reissued_at":"2026-05-18T01:27:53.957156Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:27:53.957156Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Centrally Extended Conformal Galilei Algebras and Invariant Nonlinear PDEs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Naruhiko Aizawa, Tadanori Kato","submitted_at":"2015-06-14T11:01:05Z","abstract_excerpt":"We construct, for any given $ \\ell = \\frac{1}{2} + {\\mathbb N}_0, $ the second-order \\textit{nonlinear} partial differential equations (PDEs) which are invariant under the transformations generated by the centrally extended conformal Galilei algebras. The generators are obtained by a coset construction and the PDEs are constructed by standard Lie symmetry technique. It is observed that the invariant PDEs have significant difference for $ \\ell > \\frac{3}{2}. $"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.04377","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":"1506.04377","created_at":"2026-05-18T01:27:53.957269+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.04377v2","created_at":"2026-05-18T01:27:53.957269+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.04377","created_at":"2026-05-18T01:27:53.957269+00:00"},{"alias_kind":"pith_short_12","alias_value":"QZCNIDM5D4HS","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_16","alias_value":"QZCNIDM5D4HSDEFU","created_at":"2026-05-18T12:29:39.896362+00:00"},{"alias_kind":"pith_short_8","alias_value":"QZCNIDM5","created_at":"2026-05-18T12:29:39.896362+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/QZCNIDM5D4HSDEFU7U45DGVHL7","json":"https://pith.science/pith/QZCNIDM5D4HSDEFU7U45DGVHL7.json","graph_json":"https://pith.science/api/pith-number/QZCNIDM5D4HSDEFU7U45DGVHL7/graph.json","events_json":"https://pith.science/api/pith-number/QZCNIDM5D4HSDEFU7U45DGVHL7/events.json","paper":"https://pith.science/paper/QZCNIDM5"},"agent_actions":{"view_html":"https://pith.science/pith/QZCNIDM5D4HSDEFU7U45DGVHL7","download_json":"https://pith.science/pith/QZCNIDM5D4HSDEFU7U45DGVHL7.json","view_paper":"https://pith.science/paper/QZCNIDM5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.04377&json=true","fetch_graph":"https://pith.science/api/pith-number/QZCNIDM5D4HSDEFU7U45DGVHL7/graph.json","fetch_events":"https://pith.science/api/pith-number/QZCNIDM5D4HSDEFU7U45DGVHL7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QZCNIDM5D4HSDEFU7U45DGVHL7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QZCNIDM5D4HSDEFU7U45DGVHL7/action/storage_attestation","attest_author":"https://pith.science/pith/QZCNIDM5D4HSDEFU7U45DGVHL7/action/author_attestation","sign_citation":"https://pith.science/pith/QZCNIDM5D4HSDEFU7U45DGVHL7/action/citation_signature","submit_replication":"https://pith.science/pith/QZCNIDM5D4HSDEFU7U45DGVHL7/action/replication_record"}},"created_at":"2026-05-18T01:27:53.957269+00:00","updated_at":"2026-05-18T01:27:53.957269+00:00"}