{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:MY6ZSIQBU65MHZ4U25MQC5F3GU","short_pith_number":"pith:MY6ZSIQB","schema_version":"1.0","canonical_sha256":"663d992201a7bac3e794d7590174bb353254dcbba90967e4411a91477c28f9f6","source":{"kind":"arxiv","id":"1502.00740","version":2},"attestation_state":"computed","paper":{"title":"Schr\\\"odinger geometries arising from Yang-Baxter deformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"Kentaroh Yoshida, Takuya Matsumoto","submitted_at":"2015-02-03T05:07:37Z","abstract_excerpt":"We present further examples of the correspondence between solutions of type IIB supergravity and classical $r$-matrices satisfying the classical Yang-Baxter equation (CYBE). In the previous works, classical $r$-matrices have been composed of generators of only one of either $\\mathfrak{so}(2,4)$ or $\\mathfrak{so}(6)$. In this paper, we consider some examples of $r$-matrices with both of them. The $r$-matrices of this kind contain (generalized) Schr\\\"odinger spacetimes and gravity duals of dipole theories. It is known that the generalized Schr\\\"odinger spacetimes can also be obtained via a certa"},"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":"1502.00740","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-02-03T05:07:37Z","cross_cats_sorted":["gr-qc","math-ph","math.MP","nlin.SI"],"title_canon_sha256":"0960f26af26aceeb16e157cc2699378c7975d0347be61ab7fb75983049a8e1ea","abstract_canon_sha256":"161ed02b2a89076ac3ddabbfee7a4cffefc6a28a6ea90bb0b6fdfcfe611820eb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:04:06.875463Z","signature_b64":"At+11PX/z9DW3FNprKafeZIsWpNJtSa7d/RYqE2carjGny7rmeOqIuyFS5sIdMPv9uB+CrT8VRDQ41F0LfjzAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"663d992201a7bac3e794d7590174bb353254dcbba90967e4411a91477c28f9f6","last_reissued_at":"2026-05-18T02:04:06.874797Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:04:06.874797Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Schr\\\"odinger geometries arising from Yang-Baxter deformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"Kentaroh Yoshida, Takuya Matsumoto","submitted_at":"2015-02-03T05:07:37Z","abstract_excerpt":"We present further examples of the correspondence between solutions of type IIB supergravity and classical $r$-matrices satisfying the classical Yang-Baxter equation (CYBE). In the previous works, classical $r$-matrices have been composed of generators of only one of either $\\mathfrak{so}(2,4)$ or $\\mathfrak{so}(6)$. In this paper, we consider some examples of $r$-matrices with both of them. The $r$-matrices of this kind contain (generalized) Schr\\\"odinger spacetimes and gravity duals of dipole theories. It is known that the generalized Schr\\\"odinger spacetimes can also be obtained via a certa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.00740","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":"1502.00740","created_at":"2026-05-18T02:04:06.874892+00:00"},{"alias_kind":"arxiv_version","alias_value":"1502.00740v2","created_at":"2026-05-18T02:04:06.874892+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.00740","created_at":"2026-05-18T02:04:06.874892+00:00"},{"alias_kind":"pith_short_12","alias_value":"MY6ZSIQBU65M","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_16","alias_value":"MY6ZSIQBU65MHZ4U","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_8","alias_value":"MY6ZSIQB","created_at":"2026-05-18T12:29:32.376354+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/MY6ZSIQBU65MHZ4U25MQC5F3GU","json":"https://pith.science/pith/MY6ZSIQBU65MHZ4U25MQC5F3GU.json","graph_json":"https://pith.science/api/pith-number/MY6ZSIQBU65MHZ4U25MQC5F3GU/graph.json","events_json":"https://pith.science/api/pith-number/MY6ZSIQBU65MHZ4U25MQC5F3GU/events.json","paper":"https://pith.science/paper/MY6ZSIQB"},"agent_actions":{"view_html":"https://pith.science/pith/MY6ZSIQBU65MHZ4U25MQC5F3GU","download_json":"https://pith.science/pith/MY6ZSIQBU65MHZ4U25MQC5F3GU.json","view_paper":"https://pith.science/paper/MY6ZSIQB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1502.00740&json=true","fetch_graph":"https://pith.science/api/pith-number/MY6ZSIQBU65MHZ4U25MQC5F3GU/graph.json","fetch_events":"https://pith.science/api/pith-number/MY6ZSIQBU65MHZ4U25MQC5F3GU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MY6ZSIQBU65MHZ4U25MQC5F3GU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MY6ZSIQBU65MHZ4U25MQC5F3GU/action/storage_attestation","attest_author":"https://pith.science/pith/MY6ZSIQBU65MHZ4U25MQC5F3GU/action/author_attestation","sign_citation":"https://pith.science/pith/MY6ZSIQBU65MHZ4U25MQC5F3GU/action/citation_signature","submit_replication":"https://pith.science/pith/MY6ZSIQBU65MHZ4U25MQC5F3GU/action/replication_record"}},"created_at":"2026-05-18T02:04:06.874892+00:00","updated_at":"2026-05-18T02:04:06.874892+00:00"}