{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:ZF7MKKAFNW3CW5TLYIPUKZ2KUN","short_pith_number":"pith:ZF7MKKAF","canonical_record":{"source":{"id":"1903.07495","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2019-03-18T15:04:48Z","cross_cats_sorted":[],"title_canon_sha256":"652b65bddbe6109b0ca06fb6b8b4e4bed08f54587b4809b02aad1db4fbd7261b","abstract_canon_sha256":"850384a2a62484e48a81efc977865a5809ac398f137b3aa4fe5810157bd88bcd"},"schema_version":"1.0"},"canonical_sha256":"c97ec528056db62b766bc21f45674aa3496f50477f5fe761649e0cb1a21b43d7","source":{"kind":"arxiv","id":"1903.07495","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.07495","created_at":"2026-07-05T00:18:34Z"},{"alias_kind":"arxiv_version","alias_value":"1903.07495v2","created_at":"2026-07-05T00:18:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.07495","created_at":"2026-07-05T00:18:34Z"},{"alias_kind":"pith_short_12","alias_value":"ZF7MKKAFNW3C","created_at":"2026-07-05T00:18:34Z"},{"alias_kind":"pith_short_16","alias_value":"ZF7MKKAFNW3CW5TL","created_at":"2026-07-05T00:18:34Z"},{"alias_kind":"pith_short_8","alias_value":"ZF7MKKAF","created_at":"2026-07-05T00:18:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:ZF7MKKAFNW3CW5TLYIPUKZ2KUN","target":"record","payload":{"canonical_record":{"source":{"id":"1903.07495","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2019-03-18T15:04:48Z","cross_cats_sorted":[],"title_canon_sha256":"652b65bddbe6109b0ca06fb6b8b4e4bed08f54587b4809b02aad1db4fbd7261b","abstract_canon_sha256":"850384a2a62484e48a81efc977865a5809ac398f137b3aa4fe5810157bd88bcd"},"schema_version":"1.0"},"canonical_sha256":"c97ec528056db62b766bc21f45674aa3496f50477f5fe761649e0cb1a21b43d7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:18:34.276010Z","signature_b64":"mEEDPzgDQcKDQEiWpllEbyB9o5BXGxNeEXKCkd5v5PnyXnQlKfVMLSI97dtMFjF9U8KKuni1WTgn2jT730eFAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c97ec528056db62b766bc21f45674aa3496f50477f5fe761649e0cb1a21b43d7","last_reissued_at":"2026-07-05T00:18:34.275576Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:18:34.275576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1903.07495","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:18:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4HKiSS5MOHOiMXSXNtB6SZuOY9TcYs91dTMmhd98cnKPW5aj/NrF3bQs3okAx+ZBnI5efRATaFISMqovv7WpBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T19:51:49.569431Z"},"content_sha256":"76e06f26740058002041157aa1764b9b766d5518872ccb9f7c8ad0ae067eb404","schema_version":"1.0","event_id":"sha256:76e06f26740058002041157aa1764b9b766d5518872ccb9f7c8ad0ae067eb404"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:ZF7MKKAFNW3CW5TLYIPUKZ2KUN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Affine Screening Operators, Affine Laumon Spaces, and Conjectures Concerning Non-Stationary Ruijsenaars Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Jun'ichi Shiraishi","submitted_at":"2019-03-18T15:04:48Z","abstract_excerpt":"Based on the screened vertex operators associated with the affine screening operators, we introduce the formal power series f^{hat{gl}_N}(x,p|s,kappa|q,t) which we call the non-stationary Ruijsenaars function. We identify it with the generating function for the Euler characteristics of the affine Laumon spaces. When the parameters s and kappa are suitably chosen, the limit t rightarrow q of f^{hat{gl}_N}(x,p|s,kappa|q,q/t) gives us the dominant integrable characters of hat{sl}_N multiplied by 1/(p^N;p^N)_infty (i.e. the hat{gl}_1 character). Several conjectures are presented for f^{hat{gl}_N}("},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07495","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1903.07495/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T00:18:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NBrxo3ldbHp2bOlhtV2V6y3fQe0f7/gZi81GjklNL6weB5ibVqMLFo4YMiHuuSwmWqWlP3JYk+s0Alpi8oNvDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T19:51:49.570323Z"},"content_sha256":"89b0e5cfe0a85063da39fd6fc1718e8c1f8d916b3881ea8aa2759ca28667a0c3","schema_version":"1.0","event_id":"sha256:89b0e5cfe0a85063da39fd6fc1718e8c1f8d916b3881ea8aa2759ca28667a0c3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZF7MKKAFNW3CW5TLYIPUKZ2KUN/bundle.json","state_url":"https://pith.science/pith/ZF7MKKAFNW3CW5TLYIPUKZ2KUN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZF7MKKAFNW3CW5TLYIPUKZ2KUN/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":"2026-08-03T19:51:49Z","links":{"resolver":"https://pith.science/pith/ZF7MKKAFNW3CW5TLYIPUKZ2KUN","bundle":"https://pith.science/pith/ZF7MKKAFNW3CW5TLYIPUKZ2KUN/bundle.json","state":"https://pith.science/pith/ZF7MKKAFNW3CW5TLYIPUKZ2KUN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZF7MKKAFNW3CW5TLYIPUKZ2KUN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ZF7MKKAFNW3CW5TLYIPUKZ2KUN","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":"850384a2a62484e48a81efc977865a5809ac398f137b3aa4fe5810157bd88bcd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2019-03-18T15:04:48Z","title_canon_sha256":"652b65bddbe6109b0ca06fb6b8b4e4bed08f54587b4809b02aad1db4fbd7261b"},"schema_version":"1.0","source":{"id":"1903.07495","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1903.07495","created_at":"2026-07-05T00:18:34Z"},{"alias_kind":"arxiv_version","alias_value":"1903.07495v2","created_at":"2026-07-05T00:18:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.07495","created_at":"2026-07-05T00:18:34Z"},{"alias_kind":"pith_short_12","alias_value":"ZF7MKKAFNW3C","created_at":"2026-07-05T00:18:34Z"},{"alias_kind":"pith_short_16","alias_value":"ZF7MKKAFNW3CW5TL","created_at":"2026-07-05T00:18:34Z"},{"alias_kind":"pith_short_8","alias_value":"ZF7MKKAF","created_at":"2026-07-05T00:18:34Z"}],"graph_snapshots":[{"event_id":"sha256:89b0e5cfe0a85063da39fd6fc1718e8c1f8d916b3881ea8aa2759ca28667a0c3","target":"graph","created_at":"2026-07-05T00:18:34Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1903.07495/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Based on the screened vertex operators associated with the affine screening operators, we introduce the formal power series f^{hat{gl}_N}(x,p|s,kappa|q,t) which we call the non-stationary Ruijsenaars function. We identify it with the generating function for the Euler characteristics of the affine Laumon spaces. When the parameters s and kappa are suitably chosen, the limit t rightarrow q of f^{hat{gl}_N}(x,p|s,kappa|q,q/t) gives us the dominant integrable characters of hat{sl}_N multiplied by 1/(p^N;p^N)_infty (i.e. the hat{gl}_1 character). Several conjectures are presented for f^{hat{gl}_N}(","authors_text":"Jun'ichi Shiraishi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2019-03-18T15:04:48Z","title":"Affine Screening Operators, Affine Laumon Spaces, and Conjectures Concerning Non-Stationary Ruijsenaars Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.07495","kind":"arxiv","version":2},"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":"sha256:76e06f26740058002041157aa1764b9b766d5518872ccb9f7c8ad0ae067eb404","target":"record","created_at":"2026-07-05T00:18:34Z","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":"850384a2a62484e48a81efc977865a5809ac398f137b3aa4fe5810157bd88bcd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2019-03-18T15:04:48Z","title_canon_sha256":"652b65bddbe6109b0ca06fb6b8b4e4bed08f54587b4809b02aad1db4fbd7261b"},"schema_version":"1.0","source":{"id":"1903.07495","kind":"arxiv","version":2}},"canonical_sha256":"c97ec528056db62b766bc21f45674aa3496f50477f5fe761649e0cb1a21b43d7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c97ec528056db62b766bc21f45674aa3496f50477f5fe761649e0cb1a21b43d7","first_computed_at":"2026-07-05T00:18:34.275576Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:18:34.275576Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mEEDPzgDQcKDQEiWpllEbyB9o5BXGxNeEXKCkd5v5PnyXnQlKfVMLSI97dtMFjF9U8KKuni1WTgn2jT730eFAw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:18:34.276010Z","signed_message":"canonical_sha256_bytes"},"source_id":"1903.07495","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:76e06f26740058002041157aa1764b9b766d5518872ccb9f7c8ad0ae067eb404","sha256:89b0e5cfe0a85063da39fd6fc1718e8c1f8d916b3881ea8aa2759ca28667a0c3"],"state_sha256":"920a2050202dd219717aef13f123554c2e0ab035e748b092b1ce87df3252fff7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MyQLvnVSukFsOkc19Lp1pwL7u2MMfFtGDR++LVQCZJlZta3uG4bBGOkNKM1eZn3SSxpXcNMilictW1iiFNeADQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T19:51:49.575687Z","bundle_sha256":"988cbb46d92d135c51cb6f5cb82ccd7ca132db019f1903fe94518ae259b8371e"}}