{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:TRGYQSKR7BPVFXVDJ6JG4WHPSZ","short_pith_number":"pith:TRGYQSKR","canonical_record":{"source":{"id":"1810.07308","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-10-16T23:16:36Z","cross_cats_sorted":[],"title_canon_sha256":"2bd5ad576eaea77f2bf8b6dbe97bcd33ed1fcf5e2f63a78b9a002c78ee4ed5de","abstract_canon_sha256":"a1c86032db3d232f78e3d5cb64df8ad72a7481b16c6c7b090ac250d8f472cf9f"},"schema_version":"1.0"},"canonical_sha256":"9c4d884951f85f52dea34f926e58ef96568eea25a4eb56193a7f0436903ed27c","source":{"kind":"arxiv","id":"1810.07308","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.07308","created_at":"2026-07-05T08:04:52Z"},{"alias_kind":"arxiv_version","alias_value":"1810.07308v4","created_at":"2026-07-05T08:04:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.07308","created_at":"2026-07-05T08:04:52Z"},{"alias_kind":"pith_short_12","alias_value":"TRGYQSKR7BPV","created_at":"2026-07-05T08:04:52Z"},{"alias_kind":"pith_short_16","alias_value":"TRGYQSKR7BPVFXVD","created_at":"2026-07-05T08:04:52Z"},{"alias_kind":"pith_short_8","alias_value":"TRGYQSKR","created_at":"2026-07-05T08:04:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:TRGYQSKR7BPVFXVDJ6JG4WHPSZ","target":"record","payload":{"canonical_record":{"source":{"id":"1810.07308","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-10-16T23:16:36Z","cross_cats_sorted":[],"title_canon_sha256":"2bd5ad576eaea77f2bf8b6dbe97bcd33ed1fcf5e2f63a78b9a002c78ee4ed5de","abstract_canon_sha256":"a1c86032db3d232f78e3d5cb64df8ad72a7481b16c6c7b090ac250d8f472cf9f"},"schema_version":"1.0"},"canonical_sha256":"9c4d884951f85f52dea34f926e58ef96568eea25a4eb56193a7f0436903ed27c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:04:52.647578Z","signature_b64":"/3Fz2Hb/8vGqBMpPWwTzVmAqeL4jzekGeTyJQxXNU2KqYu6dbtYcNwX9AS5K/sq6Tv33zb17Wad2xyf76BeJCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c4d884951f85f52dea34f926e58ef96568eea25a4eb56193a7f0436903ed27c","last_reissued_at":"2026-07-05T08:04:52.647061Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:04:52.647061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.07308","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:04:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iLhCbDUexkf26q/dVMpWz0SzMx90jOp4DPmrEFTkCuvTyqc6vaOr6f+jeqgVR/m0KX8x+88peU14wG6JI/2fCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T15:15:34.203207Z"},"content_sha256":"8b48df82da244be1d6af5f8c72095d1cc0dc0279f8bdaa6db6567a0c2fb9289f","schema_version":"1.0","event_id":"sha256:8b48df82da244be1d6af5f8c72095d1cc0dc0279f8bdaa6db6567a0c2fb9289f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:TRGYQSKR7BPVFXVDJ6JG4WHPSZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bethe subalgebras in Yangians and the wonderful compactification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.QA","authors_text":"Aleksei Ilin, Leonid Rybnikov","submitted_at":"2018-10-16T23:16:36Z","abstract_excerpt":"We study the family of Bethe subalgebras in the Yangian $Y(\\mathfrak{g})$ parameterized by the corresponding adjoint Lie group $G$. We describe their classical limits as subalgebras in the algebra of polynomial functions on the formal Lie group $G_1[[t^{-1}]]$. In particular we show that, for regular values of the parameter, these subalgebras are free polynomial algebras with the same Poincare series as the Cartan subalgebra of the Yangian. Next, we extend the family of Bethe subalgebras to the De Concini--Procesi wonderful compactification $\\overline{G}\\supset G$ and describe the subalgebras "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.07308","kind":"arxiv","version":4},"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/1810.07308/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":"2026-07-05T08:04:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1dAPC4Vaz3wKCO7qT1n0veakk4aMSAW3//AIp+sBcuXQ5OFbbI8vhncLqDaoijN1B58UHisIjlzd84mfx+GGAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-31T15:15:34.203748Z"},"content_sha256":"1888515dd2c510705ab74bbfe7ddbb256db77c3d66898356be8b15f8267e7fb3","schema_version":"1.0","event_id":"sha256:1888515dd2c510705ab74bbfe7ddbb256db77c3d66898356be8b15f8267e7fb3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TRGYQSKR7BPVFXVDJ6JG4WHPSZ/bundle.json","state_url":"https://pith.science/pith/TRGYQSKR7BPVFXVDJ6JG4WHPSZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TRGYQSKR7BPVFXVDJ6JG4WHPSZ/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":"2026-07-31T15:15:34Z","links":{"resolver":"https://pith.science/pith/TRGYQSKR7BPVFXVDJ6JG4WHPSZ","bundle":"https://pith.science/pith/TRGYQSKR7BPVFXVDJ6JG4WHPSZ/bundle.json","state":"https://pith.science/pith/TRGYQSKR7BPVFXVDJ6JG4WHPSZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TRGYQSKR7BPVFXVDJ6JG4WHPSZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:TRGYQSKR7BPVFXVDJ6JG4WHPSZ","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":"a1c86032db3d232f78e3d5cb64df8ad72a7481b16c6c7b090ac250d8f472cf9f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-10-16T23:16:36Z","title_canon_sha256":"2bd5ad576eaea77f2bf8b6dbe97bcd33ed1fcf5e2f63a78b9a002c78ee4ed5de"},"schema_version":"1.0","source":{"id":"1810.07308","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.07308","created_at":"2026-07-05T08:04:52Z"},{"alias_kind":"arxiv_version","alias_value":"1810.07308v4","created_at":"2026-07-05T08:04:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.07308","created_at":"2026-07-05T08:04:52Z"},{"alias_kind":"pith_short_12","alias_value":"TRGYQSKR7BPV","created_at":"2026-07-05T08:04:52Z"},{"alias_kind":"pith_short_16","alias_value":"TRGYQSKR7BPVFXVD","created_at":"2026-07-05T08:04:52Z"},{"alias_kind":"pith_short_8","alias_value":"TRGYQSKR","created_at":"2026-07-05T08:04:52Z"}],"graph_snapshots":[{"event_id":"sha256:1888515dd2c510705ab74bbfe7ddbb256db77c3d66898356be8b15f8267e7fb3","target":"graph","created_at":"2026-07-05T08:04:52Z","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/1810.07308/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the family of Bethe subalgebras in the Yangian $Y(\\mathfrak{g})$ parameterized by the corresponding adjoint Lie group $G$. We describe their classical limits as subalgebras in the algebra of polynomial functions on the formal Lie group $G_1[[t^{-1}]]$. In particular we show that, for regular values of the parameter, these subalgebras are free polynomial algebras with the same Poincare series as the Cartan subalgebra of the Yangian. Next, we extend the family of Bethe subalgebras to the De Concini--Procesi wonderful compactification $\\overline{G}\\supset G$ and describe the subalgebras ","authors_text":"Aleksei Ilin, Leonid Rybnikov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-10-16T23:16:36Z","title":"Bethe subalgebras in Yangians and the wonderful compactification"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.07308","kind":"arxiv","version":4},"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":"sha256:8b48df82da244be1d6af5f8c72095d1cc0dc0279f8bdaa6db6567a0c2fb9289f","target":"record","created_at":"2026-07-05T08:04:52Z","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":"a1c86032db3d232f78e3d5cb64df8ad72a7481b16c6c7b090ac250d8f472cf9f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.QA","submitted_at":"2018-10-16T23:16:36Z","title_canon_sha256":"2bd5ad576eaea77f2bf8b6dbe97bcd33ed1fcf5e2f63a78b9a002c78ee4ed5de"},"schema_version":"1.0","source":{"id":"1810.07308","kind":"arxiv","version":4}},"canonical_sha256":"9c4d884951f85f52dea34f926e58ef96568eea25a4eb56193a7f0436903ed27c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c4d884951f85f52dea34f926e58ef96568eea25a4eb56193a7f0436903ed27c","first_computed_at":"2026-07-05T08:04:52.647061Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:04:52.647061Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/3Fz2Hb/8vGqBMpPWwTzVmAqeL4jzekGeTyJQxXNU2KqYu6dbtYcNwX9AS5K/sq6Tv33zb17Wad2xyf76BeJCA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:04:52.647578Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.07308","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8b48df82da244be1d6af5f8c72095d1cc0dc0279f8bdaa6db6567a0c2fb9289f","sha256:1888515dd2c510705ab74bbfe7ddbb256db77c3d66898356be8b15f8267e7fb3"],"state_sha256":"6edbfb4eb90dbf7e47fd029435c3e94a44680db340d6b1197ce1f0983769ec18"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KPQnQuZzh+SoJzhx2SSx+SHVJz5IWZGUvBT6miWBiStCFHR+ZNwkAdCvoEJQOrI2gklGtLyfcTvi4zAs1VW/Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-31T15:15:34.209439Z","bundle_sha256":"684345e4400c0c5acf47ca195c953b5440af1f612136d50f87a42a7baef4fc38"}}