{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:JWAY7YLQCGRLZZKMJXOHWSCWUZ","short_pith_number":"pith:JWAY7YLQ","canonical_record":{"source":{"id":"1402.3884","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-02-17T03:53:12Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"fc14ea29361dc780ec2d041cdcabb1a03498f347cb3724d1a6634e0cf26e5309","abstract_canon_sha256":"20e9c4c545efabe56a7c83192b38e4a60f14d875bd78404503def775295e4df0"},"schema_version":"1.0"},"canonical_sha256":"4d818fe17011a2bce54c4ddc7b4856a6672629f33a51a74c7b8bf286ea637e4d","source":{"kind":"arxiv","id":"1402.3884","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3884","created_at":"2026-05-18T02:44:31Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3884v3","created_at":"2026-05-18T02:44:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3884","created_at":"2026-05-18T02:44:31Z"},{"alias_kind":"pith_short_12","alias_value":"JWAY7YLQCGRL","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JWAY7YLQCGRLZZKM","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JWAY7YLQ","created_at":"2026-05-18T12:28:35Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:JWAY7YLQCGRLZZKMJXOHWSCWUZ","target":"record","payload":{"canonical_record":{"source":{"id":"1402.3884","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-02-17T03:53:12Z","cross_cats_sorted":["math.RT"],"title_canon_sha256":"fc14ea29361dc780ec2d041cdcabb1a03498f347cb3724d1a6634e0cf26e5309","abstract_canon_sha256":"20e9c4c545efabe56a7c83192b38e4a60f14d875bd78404503def775295e4df0"},"schema_version":"1.0"},"canonical_sha256":"4d818fe17011a2bce54c4ddc7b4856a6672629f33a51a74c7b8bf286ea637e4d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:31.393375Z","signature_b64":"QbKOIwB18dQFVjvrX5P/INWzXJT/tuk/dAw+5OBWxDoVD8Rpl9NN4lSWo/twg3LX3Li3cV1HPwETwRtFOsKAAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4d818fe17011a2bce54c4ddc7b4856a6672629f33a51a74c7b8bf286ea637e4d","last_reissued_at":"2026-05-18T02:44:31.392888Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:31.392888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.3884","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":"2026-05-18T02:44:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K0yc7lcBd4b9jxkd95NHAYO7AKWDJkvUOLQ+zdDjl7dVWSKW9ZF7HLrnLMdzck+pjWVl2mNliQ3IQyFZPN0hAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:20:57.514569Z"},"content_sha256":"40499ec7937640ae70bbb4c6493c2b02b5aeaf1456b7d3300d5ea351d8ee995f","schema_version":"1.0","event_id":"sha256:40499ec7937640ae70bbb4c6493c2b02b5aeaf1456b7d3300d5ea351d8ee995f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:JWAY7YLQCGRLZZKMJXOHWSCWUZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semi-infinite Lakshmibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT"],"primary_cat":"math.QA","authors_text":"Daisuke Sagaki, Motohiro Ishii, Satoshi Naito","submitted_at":"2014-02-17T03:53:12Z","abstract_excerpt":"We introduce semi-infinite Lakshmibai-Seshadri paths by using the semi-infinite Bruhat order (or equivalently, Lusztig's generic Bruhat order) on affine Weyl groups in place of the usual Bruhat order. These paths enable us to give an explicit realization of the crystal basis of an extremal weight module of an arbitrary level-zero dominant integral extremal weight over a quantum affine algebra. This result can be thought of as a full generalization of our previous result (which uses Littelmann's Lakshmibai-Seshadri paths), in which the level-zero dominant integral weight is assumed to be a posi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3884","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":"2026-05-18T02:44:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Ftdn4WCi50d5CzJDNvGQ0HbOw8rKQ5yc0n5os7a05YIvPH7xGRFjrWnLe5Z7InYg4EcQ+nuMegroY9HhDHoAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T08:20:57.515277Z"},"content_sha256":"847466230128dee0480685356fa371b0a4f8333935d03f741e484d2b7b3e192a","schema_version":"1.0","event_id":"sha256:847466230128dee0480685356fa371b0a4f8333935d03f741e484d2b7b3e192a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JWAY7YLQCGRLZZKMJXOHWSCWUZ/bundle.json","state_url":"https://pith.science/pith/JWAY7YLQCGRLZZKMJXOHWSCWUZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JWAY7YLQCGRLZZKMJXOHWSCWUZ/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":"2026-06-09T08:20:57Z","links":{"resolver":"https://pith.science/pith/JWAY7YLQCGRLZZKMJXOHWSCWUZ","bundle":"https://pith.science/pith/JWAY7YLQCGRLZZKMJXOHWSCWUZ/bundle.json","state":"https://pith.science/pith/JWAY7YLQCGRLZZKMJXOHWSCWUZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JWAY7YLQCGRLZZKMJXOHWSCWUZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JWAY7YLQCGRLZZKMJXOHWSCWUZ","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":"20e9c4c545efabe56a7c83192b38e4a60f14d875bd78404503def775295e4df0","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-02-17T03:53:12Z","title_canon_sha256":"fc14ea29361dc780ec2d041cdcabb1a03498f347cb3724d1a6634e0cf26e5309"},"schema_version":"1.0","source":{"id":"1402.3884","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.3884","created_at":"2026-05-18T02:44:31Z"},{"alias_kind":"arxiv_version","alias_value":"1402.3884v3","created_at":"2026-05-18T02:44:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.3884","created_at":"2026-05-18T02:44:31Z"},{"alias_kind":"pith_short_12","alias_value":"JWAY7YLQCGRL","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_16","alias_value":"JWAY7YLQCGRLZZKM","created_at":"2026-05-18T12:28:35Z"},{"alias_kind":"pith_short_8","alias_value":"JWAY7YLQ","created_at":"2026-05-18T12:28:35Z"}],"graph_snapshots":[{"event_id":"sha256:847466230128dee0480685356fa371b0a4f8333935d03f741e484d2b7b3e192a","target":"graph","created_at":"2026-05-18T02:44:31Z","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 introduce semi-infinite Lakshmibai-Seshadri paths by using the semi-infinite Bruhat order (or equivalently, Lusztig's generic Bruhat order) on affine Weyl groups in place of the usual Bruhat order. These paths enable us to give an explicit realization of the crystal basis of an extremal weight module of an arbitrary level-zero dominant integral extremal weight over a quantum affine algebra. This result can be thought of as a full generalization of our previous result (which uses Littelmann's Lakshmibai-Seshadri paths), in which the level-zero dominant integral weight is assumed to be a posi","authors_text":"Daisuke Sagaki, Motohiro Ishii, Satoshi Naito","cross_cats":["math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-02-17T03:53:12Z","title":"Semi-infinite Lakshmibai-Seshadri path model for level-zero extremal weight modules over quantum affine algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.3884","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":"sha256:40499ec7937640ae70bbb4c6493c2b02b5aeaf1456b7d3300d5ea351d8ee995f","target":"record","created_at":"2026-05-18T02:44:31Z","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":"20e9c4c545efabe56a7c83192b38e4a60f14d875bd78404503def775295e4df0","cross_cats_sorted":["math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2014-02-17T03:53:12Z","title_canon_sha256":"fc14ea29361dc780ec2d041cdcabb1a03498f347cb3724d1a6634e0cf26e5309"},"schema_version":"1.0","source":{"id":"1402.3884","kind":"arxiv","version":3}},"canonical_sha256":"4d818fe17011a2bce54c4ddc7b4856a6672629f33a51a74c7b8bf286ea637e4d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d818fe17011a2bce54c4ddc7b4856a6672629f33a51a74c7b8bf286ea637e4d","first_computed_at":"2026-05-18T02:44:31.392888Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:31.392888Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QbKOIwB18dQFVjvrX5P/INWzXJT/tuk/dAw+5OBWxDoVD8Rpl9NN4lSWo/twg3LX3Li3cV1HPwETwRtFOsKAAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:31.393375Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.3884","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40499ec7937640ae70bbb4c6493c2b02b5aeaf1456b7d3300d5ea351d8ee995f","sha256:847466230128dee0480685356fa371b0a4f8333935d03f741e484d2b7b3e192a"],"state_sha256":"e824275a4755e6869c505523f523ddc578e994c226077a0694effbd9e194bcbd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fgnxpT9ZOq6n7W58ISlQmAUk1m0YzUptm4xnuXG2gJiOfe8VaNYDE+4c/GRpgkUx7TNWqY+B34Stsj+B5nQsDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T08:20:57.519244Z","bundle_sha256":"5b53b0d29daa19ccae828f26802b29eb1442cbb147c61e7b891881ce04a31ad1"}}