{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:WDWZJSM7NI5V2TLVH6EWJWJ36E","short_pith_number":"pith:WDWZJSM7","schema_version":"1.0","canonical_sha256":"b0ed94c99f6a3b5d4d753f8964d93bf1066027cf7adb02799d9627fc631330ea","source":{"kind":"arxiv","id":"1504.06555","version":1},"attestation_state":"computed","paper":{"title":"Higher Spin Lifshitz Theories and the KdV-Hierarchy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Guido Macorini, Matteo Beccaria, Michael Gutperle, Yi Li","submitted_at":"2015-04-24T16:10:32Z","abstract_excerpt":"In this paper three dimensional higher spin theories in the Chern-Simons formulation with gauge algebra $sl(N,R)$ are investigated which have Lifshitz symmetry with scaling exponent $z$. We show that an explicit map exists for all $z$ and $N$ relating the Lifshitz Chern-Simons theory to the $(n,m)$ element of the KdV hierarchy. Furthermore we show that the map and hence the conserved charges are independent of $z$. We derive these result from the Drinfeld-Sokolov formalism of integrable systems."},"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":"1504.06555","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-24T16:10:32Z","cross_cats_sorted":[],"title_canon_sha256":"99a380f093bffb40b12938ce7ec3759cfb250dcaa7710797f4ebca1e0e1e5048","abstract_canon_sha256":"3e02e924fd85c13cbc9a0d8f912699c54930814daa4848e8ee51bff9befdd79e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:24.660016Z","signature_b64":"rDLlBgiZyjAIsu2H/OOulEeONddGlzajrfhpjNWFw83sRiTebBx7HAucnDJ0JPXtE5QOXdaBzSVReyl3os2YCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b0ed94c99f6a3b5d4d753f8964d93bf1066027cf7adb02799d9627fc631330ea","last_reissued_at":"2026-05-18T01:30:24.659290Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:24.659290Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Higher Spin Lifshitz Theories and the KdV-Hierarchy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Guido Macorini, Matteo Beccaria, Michael Gutperle, Yi Li","submitted_at":"2015-04-24T16:10:32Z","abstract_excerpt":"In this paper three dimensional higher spin theories in the Chern-Simons formulation with gauge algebra $sl(N,R)$ are investigated which have Lifshitz symmetry with scaling exponent $z$. We show that an explicit map exists for all $z$ and $N$ relating the Lifshitz Chern-Simons theory to the $(n,m)$ element of the KdV hierarchy. Furthermore we show that the map and hence the conserved charges are independent of $z$. We derive these result from the Drinfeld-Sokolov formalism of integrable systems."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.06555","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":"1504.06555","created_at":"2026-05-18T01:30:24.659428+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.06555v1","created_at":"2026-05-18T01:30:24.659428+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.06555","created_at":"2026-05-18T01:30:24.659428+00:00"},{"alias_kind":"pith_short_12","alias_value":"WDWZJSM7NI5V","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_16","alias_value":"WDWZJSM7NI5V2TLV","created_at":"2026-05-18T12:29:47.479230+00:00"},{"alias_kind":"pith_short_8","alias_value":"WDWZJSM7","created_at":"2026-05-18T12:29:47.479230+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/WDWZJSM7NI5V2TLVH6EWJWJ36E","json":"https://pith.science/pith/WDWZJSM7NI5V2TLVH6EWJWJ36E.json","graph_json":"https://pith.science/api/pith-number/WDWZJSM7NI5V2TLVH6EWJWJ36E/graph.json","events_json":"https://pith.science/api/pith-number/WDWZJSM7NI5V2TLVH6EWJWJ36E/events.json","paper":"https://pith.science/paper/WDWZJSM7"},"agent_actions":{"view_html":"https://pith.science/pith/WDWZJSM7NI5V2TLVH6EWJWJ36E","download_json":"https://pith.science/pith/WDWZJSM7NI5V2TLVH6EWJWJ36E.json","view_paper":"https://pith.science/paper/WDWZJSM7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.06555&json=true","fetch_graph":"https://pith.science/api/pith-number/WDWZJSM7NI5V2TLVH6EWJWJ36E/graph.json","fetch_events":"https://pith.science/api/pith-number/WDWZJSM7NI5V2TLVH6EWJWJ36E/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WDWZJSM7NI5V2TLVH6EWJWJ36E/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WDWZJSM7NI5V2TLVH6EWJWJ36E/action/storage_attestation","attest_author":"https://pith.science/pith/WDWZJSM7NI5V2TLVH6EWJWJ36E/action/author_attestation","sign_citation":"https://pith.science/pith/WDWZJSM7NI5V2TLVH6EWJWJ36E/action/citation_signature","submit_replication":"https://pith.science/pith/WDWZJSM7NI5V2TLVH6EWJWJ36E/action/replication_record"}},"created_at":"2026-05-18T01:30:24.659428+00:00","updated_at":"2026-05-18T01:30:24.659428+00:00"}