{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:FCXGPX44W3IA6LG3PQRS2RGS2K","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":"206473953939e0cdfb73ec1a637806c250d390e9f1fe83ada7b04b0ea73eaf1a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-01-01T14:51:25Z","title_canon_sha256":"ba203608689f09f70cf15e08125bac2c2fcae752af4aa67d9c3470f2e3085222"},"schema_version":"1.0","source":{"id":"1001.0239","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.0239","created_at":"2026-05-18T04:12:43Z"},{"alias_kind":"arxiv_version","alias_value":"1001.0239v4","created_at":"2026-05-18T04:12:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.0239","created_at":"2026-05-18T04:12:43Z"},{"alias_kind":"pith_short_12","alias_value":"FCXGPX44W3IA","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_16","alias_value":"FCXGPX44W3IA6LG3","created_at":"2026-05-18T12:26:06Z"},{"alias_kind":"pith_short_8","alias_value":"FCXGPX44","created_at":"2026-05-18T12:26:06Z"}],"graph_snapshots":[{"event_id":"sha256:49e4902f9e828a7263844162f08f3658baf4aa65d3fcded262aeb9f188d80091","target":"graph","created_at":"2026-05-18T04:12:43Z","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":"In this paper we study the structure of completions of symplectic reflection algebras. Our results provides a reduction to smaller algebras. We apply this reduction to the study of two-sided ideals and Harish-Chandra bimodules.","authors_text":"Ivan Losev","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-01-01T14:51:25Z","title":"Completions of symplectic reflection algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.0239","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":"sha256:46432fb2a4f76963c39e6386afb3dc5c592a085954d2cb70e8b4ea87448ec78f","target":"record","created_at":"2026-05-18T04:12:43Z","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":"206473953939e0cdfb73ec1a637806c250d390e9f1fe83ada7b04b0ea73eaf1a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2010-01-01T14:51:25Z","title_canon_sha256":"ba203608689f09f70cf15e08125bac2c2fcae752af4aa67d9c3470f2e3085222"},"schema_version":"1.0","source":{"id":"1001.0239","kind":"arxiv","version":4}},"canonical_sha256":"28ae67df9cb6d00f2cdb7c232d44d2d2bf64d81e791a3192b774f6d0fcb9183a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"28ae67df9cb6d00f2cdb7c232d44d2d2bf64d81e791a3192b774f6d0fcb9183a","first_computed_at":"2026-05-18T04:12:43.105937Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:12:43.105937Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MdDFsNBGEyMKUbUWQrc/MreOpMhdMc1gTktr/qj+4gtYr9IDT2u8XnPG7ePrWFQJXhr5u2m37DlR1uOpPrq7Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:12:43.106510Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.0239","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46432fb2a4f76963c39e6386afb3dc5c592a085954d2cb70e8b4ea87448ec78f","sha256:49e4902f9e828a7263844162f08f3658baf4aa65d3fcded262aeb9f188d80091"],"state_sha256":"7973a0c9cc25cdb9a1293fe53dcdc7bb76fb783baf81e75830dac9d5a08f3d2a"}