{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:G54WGQI4EIMLBZEH67CYJHAP3C","short_pith_number":"pith:G54WGQI4","canonical_record":{"source":{"id":"1301.4912","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-01-21T16:22:27Z","cross_cats_sorted":[],"title_canon_sha256":"9fbf3cc9e7c0263e8ede05657aed54f1672a16742ef3d5b558da755868ae4516","abstract_canon_sha256":"653076d3c80789b7ba1a36ea2cca0fb9e191f62aad0c753541902c6201edf62f"},"schema_version":"1.0"},"canonical_sha256":"377963411c2218b0e487f7c5849c0fd88e7d6d6f266089ffabdd6fd66ae7ce23","source":{"kind":"arxiv","id":"1301.4912","version":6},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.4912","created_at":"2026-05-18T03:17:36Z"},{"alias_kind":"arxiv_version","alias_value":"1301.4912v6","created_at":"2026-05-18T03:17:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4912","created_at":"2026-05-18T03:17:36Z"},{"alias_kind":"pith_short_12","alias_value":"G54WGQI4EIML","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"G54WGQI4EIMLBZEH","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"G54WGQI4","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:G54WGQI4EIMLBZEH67CYJHAP3C","target":"record","payload":{"canonical_record":{"source":{"id":"1301.4912","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-01-21T16:22:27Z","cross_cats_sorted":[],"title_canon_sha256":"9fbf3cc9e7c0263e8ede05657aed54f1672a16742ef3d5b558da755868ae4516","abstract_canon_sha256":"653076d3c80789b7ba1a36ea2cca0fb9e191f62aad0c753541902c6201edf62f"},"schema_version":"1.0"},"canonical_sha256":"377963411c2218b0e487f7c5849c0fd88e7d6d6f266089ffabdd6fd66ae7ce23","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:36.008545Z","signature_b64":"yoZrM/cjVSxdpd/1Q3aqNtSAnFeu/FwRlNIYnDwlYwwzwfearnYk0bGALuLoy+n/4wZr/M9ZT76ZSwF1CeUmCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"377963411c2218b0e487f7c5849c0fd88e7d6d6f266089ffabdd6fd66ae7ce23","last_reissued_at":"2026-05-18T03:17:36.007867Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:36.007867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1301.4912","source_version":6,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:17:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sIcC/FUHZjlBV7cDCtbqidjmbd6iGfyUZPt++rqmArQmO9XGsJYaqGlQeIG+kWZLBD1Hm7z4TShYLtBNJytIBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T10:11:15.360778Z"},"content_sha256":"dcb9a2e41eeb9022d3ba97e686509ab4e7907fc8633620e73a5fcf6fe04b07a1","schema_version":"1.0","event_id":"sha256:dcb9a2e41eeb9022d3ba97e686509ab4e7907fc8633620e73a5fcf6fe04b07a1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:G54WGQI4EIMLBZEH67CYJHAP3C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Elliptic Ding-Iohara Algebra and the Free Field Realization of the Elliptic Macdonald Operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Yosuke Saito","submitted_at":"2013-01-21T16:22:27Z","abstract_excerpt":"The Ding-Iohara algebra is a quantum algebra arising from the free field realization of the Macdonald operator. Starting from the elliptic kernel function introduced by Komori, Noumi and Shiraishi, we can define an elliptic analog of the Ding-Iohara algebra. The free field realization of the elliptic Macdonald operator is also constructed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4912","kind":"arxiv","version":6},"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":"2026-05-18T03:17:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s+gBqZYfQgO1+AgRGB2tdVDKx4qrYET3zYIEh6uuLUFSVf/9TOwLXCb0Ck34xQ5qrgsB7E0yqnVTC7cKHsT1BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T10:11:15.361301Z"},"content_sha256":"deac1741f5ce16d554985cfe542ee7feff1cfbdb955860d3aadbcd3bb1b729ca","schema_version":"1.0","event_id":"sha256:deac1741f5ce16d554985cfe542ee7feff1cfbdb955860d3aadbcd3bb1b729ca"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/G54WGQI4EIMLBZEH67CYJHAP3C/bundle.json","state_url":"https://pith.science/pith/G54WGQI4EIMLBZEH67CYJHAP3C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/G54WGQI4EIMLBZEH67CYJHAP3C/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":"2026-08-19T10:11:15Z","links":{"resolver":"https://pith.science/pith/G54WGQI4EIMLBZEH67CYJHAP3C","bundle":"https://pith.science/pith/G54WGQI4EIMLBZEH67CYJHAP3C/bundle.json","state":"https://pith.science/pith/G54WGQI4EIMLBZEH67CYJHAP3C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/G54WGQI4EIMLBZEH67CYJHAP3C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:G54WGQI4EIMLBZEH67CYJHAP3C","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":"653076d3c80789b7ba1a36ea2cca0fb9e191f62aad0c753541902c6201edf62f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-01-21T16:22:27Z","title_canon_sha256":"9fbf3cc9e7c0263e8ede05657aed54f1672a16742ef3d5b558da755868ae4516"},"schema_version":"1.0","source":{"id":"1301.4912","kind":"arxiv","version":6}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1301.4912","created_at":"2026-05-18T03:17:36Z"},{"alias_kind":"arxiv_version","alias_value":"1301.4912v6","created_at":"2026-05-18T03:17:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1301.4912","created_at":"2026-05-18T03:17:36Z"},{"alias_kind":"pith_short_12","alias_value":"G54WGQI4EIML","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"G54WGQI4EIMLBZEH","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"G54WGQI4","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:deac1741f5ce16d554985cfe542ee7feff1cfbdb955860d3aadbcd3bb1b729ca","target":"graph","created_at":"2026-05-18T03:17:36Z","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":"The Ding-Iohara algebra is a quantum algebra arising from the free field realization of the Macdonald operator. Starting from the elliptic kernel function introduced by Komori, Noumi and Shiraishi, we can define an elliptic analog of the Ding-Iohara algebra. The free field realization of the elliptic Macdonald operator is also constructed.","authors_text":"Yosuke Saito","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-01-21T16:22:27Z","title":"Elliptic Ding-Iohara Algebra and the Free Field Realization of the Elliptic Macdonald Operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1301.4912","kind":"arxiv","version":6},"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:dcb9a2e41eeb9022d3ba97e686509ab4e7907fc8633620e73a5fcf6fe04b07a1","target":"record","created_at":"2026-05-18T03:17:36Z","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":"653076d3c80789b7ba1a36ea2cca0fb9e191f62aad0c753541902c6201edf62f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2013-01-21T16:22:27Z","title_canon_sha256":"9fbf3cc9e7c0263e8ede05657aed54f1672a16742ef3d5b558da755868ae4516"},"schema_version":"1.0","source":{"id":"1301.4912","kind":"arxiv","version":6}},"canonical_sha256":"377963411c2218b0e487f7c5849c0fd88e7d6d6f266089ffabdd6fd66ae7ce23","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"377963411c2218b0e487f7c5849c0fd88e7d6d6f266089ffabdd6fd66ae7ce23","first_computed_at":"2026-05-18T03:17:36.007867Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:17:36.007867Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yoZrM/cjVSxdpd/1Q3aqNtSAnFeu/FwRlNIYnDwlYwwzwfearnYk0bGALuLoy+n/4wZr/M9ZT76ZSwF1CeUmCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:17:36.008545Z","signed_message":"canonical_sha256_bytes"},"source_id":"1301.4912","source_kind":"arxiv","source_version":6}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dcb9a2e41eeb9022d3ba97e686509ab4e7907fc8633620e73a5fcf6fe04b07a1","sha256:deac1741f5ce16d554985cfe542ee7feff1cfbdb955860d3aadbcd3bb1b729ca"],"state_sha256":"b63f9f9421af075a0bd78a98ccc7ceb520c5ba860d9fb10fbd162f747e8c1f5a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wvo02w8Ffeo9vnWlYthgerZ7iL6oko4kdQeNAWv39A9SCoVRCeZb+7x9DDPkqc0l8M2jbow8N6gutyEsUMboAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T10:11:15.366560Z","bundle_sha256":"60be950a5e2a1a1b7d66b2e3c2a7c83f1771317dcafcbe6d03ac64705f499b38"}}