{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:2JHRARYMUF4SVPMCRM3BYGYNLK","short_pith_number":"pith:2JHRARYM","canonical_record":{"source":{"id":"1509.00173","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-01T08:20:55Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"77201737f4bf68fb83c9a99c3995eff91834900e254965bad7d6f2cc59f15cdf","abstract_canon_sha256":"c06ccb27fc7c84124e217cbf4f780dfa06ffe6f5b0efa87f9961071150f737bf"},"schema_version":"1.0"},"canonical_sha256":"d24f10470ca1792abd828b361c1b0d5a9959cfce6a8b3f415b99d35a4c896b41","source":{"kind":"arxiv","id":"1509.00173","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00173","created_at":"2026-05-18T01:28:25Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00173v3","created_at":"2026-05-18T01:28:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00173","created_at":"2026-05-18T01:28:25Z"},{"alias_kind":"pith_short_12","alias_value":"2JHRARYMUF4S","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"2JHRARYMUF4SVPMC","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"2JHRARYM","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:2JHRARYMUF4SVPMCRM3BYGYNLK","target":"record","payload":{"canonical_record":{"source":{"id":"1509.00173","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-01T08:20:55Z","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"title_canon_sha256":"77201737f4bf68fb83c9a99c3995eff91834900e254965bad7d6f2cc59f15cdf","abstract_canon_sha256":"c06ccb27fc7c84124e217cbf4f780dfa06ffe6f5b0efa87f9961071150f737bf"},"schema_version":"1.0"},"canonical_sha256":"d24f10470ca1792abd828b361c1b0d5a9959cfce6a8b3f415b99d35a4c896b41","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:28:25.138505Z","signature_b64":"ModACWZjbQ7qQx+rvE9oDVuA5J7E4uL5u4QDDRhEPNvb2fxWWIQy+c6ebE3BJxV3cSEJQn+KqrxljU8HjYSUCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d24f10470ca1792abd828b361c1b0d5a9959cfce6a8b3f415b99d35a4c896b41","last_reissued_at":"2026-05-18T01:28:25.137922Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:28:25.137922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.00173","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:28:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AlfPCszBoRTVtg4ekhM5azZuQfgGXi3wWihKBsaiReiaufayMdATuBVWHeyMxL4ruOXpaqiC9ZCZ5Dh8/c41Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:18:47.519769Z"},"content_sha256":"d12cf4b2aa47b04717e1d9fcbf4b853ee9a207b64aa97a392c85d9bd5d3c7616","schema_version":"1.0","event_id":"sha256:d12cf4b2aa47b04717e1d9fcbf4b853ee9a207b64aa97a392c85d9bd5d3c7616"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:2JHRARYMUF4SVPMCRM3BYGYNLK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lax pairs on Yang-Baxter deformed backgrounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP","nlin.SI"],"primary_cat":"hep-th","authors_text":"Hideki Kyono, Jun-ichi Sakamoto, Kentaroh Yoshida, Takashi Kameyama","submitted_at":"2015-09-01T08:20:55Z","abstract_excerpt":"We explicitly derive Lax pairs for string theories on Yang-Baxter deformed backgrounds, 1) gravity duals for noncommutative gauge theories, 2) $\\gamma$-deformations of S$^5$, 3) Schr\\\"odinger spacetimes and 4) abelian twists of the global AdS$_5$\\,. Then we can find out a concise derivation of Lax pairs based on simple replacement rules. Furthermore, each of the above deformations can be reinterpreted as a twisted periodic boundary conditions with the undeformed background by using the rules. As another derivation, the Lax pair for gravity duals for noncommutative gauge theories is reproduced "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00173","kind":"arxiv","version":3},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:28:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YZh4W+Hvg+ql3X1cmkQ+5wsw+Ft7xf0SI5PTgEkXidL8BkIBvJjKeFJ9+SVZakuv4HK4T7HKy5lynBrTSzgkDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T07:18:47.520119Z"},"content_sha256":"877606f2a70b1ac6278c2d902b5cc8c5ed42e40ed5802074ad788927c8ec9a3c","schema_version":"1.0","event_id":"sha256:877606f2a70b1ac6278c2d902b5cc8c5ed42e40ed5802074ad788927c8ec9a3c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2JHRARYMUF4SVPMCRM3BYGYNLK/bundle.json","state_url":"https://pith.science/pith/2JHRARYMUF4SVPMCRM3BYGYNLK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2JHRARYMUF4SVPMCRM3BYGYNLK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T07:18:47Z","links":{"resolver":"https://pith.science/pith/2JHRARYMUF4SVPMCRM3BYGYNLK","bundle":"https://pith.science/pith/2JHRARYMUF4SVPMCRM3BYGYNLK/bundle.json","state":"https://pith.science/pith/2JHRARYMUF4SVPMCRM3BYGYNLK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2JHRARYMUF4SVPMCRM3BYGYNLK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:2JHRARYMUF4SVPMCRM3BYGYNLK","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"c06ccb27fc7c84124e217cbf4f780dfa06ffe6f5b0efa87f9961071150f737bf","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-01T08:20:55Z","title_canon_sha256":"77201737f4bf68fb83c9a99c3995eff91834900e254965bad7d6f2cc59f15cdf"},"schema_version":"1.0","source":{"id":"1509.00173","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00173","created_at":"2026-05-18T01:28:25Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00173v3","created_at":"2026-05-18T01:28:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00173","created_at":"2026-05-18T01:28:25Z"},{"alias_kind":"pith_short_12","alias_value":"2JHRARYMUF4S","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"2JHRARYMUF4SVPMC","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"2JHRARYM","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:877606f2a70b1ac6278c2d902b5cc8c5ed42e40ed5802074ad788927c8ec9a3c","target":"graph","created_at":"2026-05-18T01:28:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We explicitly derive Lax pairs for string theories on Yang-Baxter deformed backgrounds, 1) gravity duals for noncommutative gauge theories, 2) $\\gamma$-deformations of S$^5$, 3) Schr\\\"odinger spacetimes and 4) abelian twists of the global AdS$_5$\\,. Then we can find out a concise derivation of Lax pairs based on simple replacement rules. Furthermore, each of the above deformations can be reinterpreted as a twisted periodic boundary conditions with the undeformed background by using the rules. As another derivation, the Lax pair for gravity duals for noncommutative gauge theories is reproduced ","authors_text":"Hideki Kyono, Jun-ichi Sakamoto, Kentaroh Yoshida, Takashi Kameyama","cross_cats":["math-ph","math.MP","nlin.SI"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-01T08:20:55Z","title":"Lax pairs on Yang-Baxter deformed backgrounds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00173","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:d12cf4b2aa47b04717e1d9fcbf4b853ee9a207b64aa97a392c85d9bd5d3c7616","target":"record","created_at":"2026-05-18T01:28:25Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"c06ccb27fc7c84124e217cbf4f780dfa06ffe6f5b0efa87f9961071150f737bf","cross_cats_sorted":["math-ph","math.MP","nlin.SI"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-09-01T08:20:55Z","title_canon_sha256":"77201737f4bf68fb83c9a99c3995eff91834900e254965bad7d6f2cc59f15cdf"},"schema_version":"1.0","source":{"id":"1509.00173","kind":"arxiv","version":3}},"canonical_sha256":"d24f10470ca1792abd828b361c1b0d5a9959cfce6a8b3f415b99d35a4c896b41","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d24f10470ca1792abd828b361c1b0d5a9959cfce6a8b3f415b99d35a4c896b41","first_computed_at":"2026-05-18T01:28:25.137922Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:28:25.137922Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ModACWZjbQ7qQx+rvE9oDVuA5J7E4uL5u4QDDRhEPNvb2fxWWIQy+c6ebE3BJxV3cSEJQn+KqrxljU8HjYSUCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:28:25.138505Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.00173","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d12cf4b2aa47b04717e1d9fcbf4b853ee9a207b64aa97a392c85d9bd5d3c7616","sha256:877606f2a70b1ac6278c2d902b5cc8c5ed42e40ed5802074ad788927c8ec9a3c"],"state_sha256":"0175882776b6069555efb4c29e2ae96e1551e850bb0d756355f2f6af2e103c5e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1sZ6MpQ0j4M2MjdztEW/uKDsvQcgaJVeXqOBU+juMNLXc50TwzD3t4XrmBTxMHuLlWO43TJ302Qh7HF09N8/AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T07:18:47.522438Z","bundle_sha256":"8fa6ebfd9d4dcddeb9eb26369ee27a400003e43e02e29f93d0c58c605b03bb12"}}