{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:SZ654FJMNTH2OYR2PVHQ4E7JFF","short_pith_number":"pith:SZ654FJM","schema_version":"1.0","canonical_sha256":"967dde152c6ccfa7623a7d4f0e13e9295aca57f02ef66a6468639b386c13b931","source":{"kind":"arxiv","id":"1501.03368","version":2},"attestation_state":"computed","paper":{"title":"Equivariant slices for symplectic cones","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT","math.SG"],"primary_cat":"math.AG","authors_text":"Travis Schedler","submitted_at":"2015-01-14T15:19:13Z","abstract_excerpt":"The Darboux-Weinstein decomposition is a central result in the theory of Poisson (degenerate symplectic) varieties, which gives a local decomposition at a point as a product of the formal neighborhood of the symplectic leaf through the point and a formal slice.\n  Recently, conical symplectic resolutions, and more generally, Poisson cones, have been very actively studied in representation theory and algebraic geometry. This motivates asking for a C*-equivariant version of the Darboux-Weinstein decomposition.\n  In this paper, we develop such a theory, prove basic results on their existence and u"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1501.03368","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-01-14T15:19:13Z","cross_cats_sorted":["math.RT","math.SG"],"title_canon_sha256":"db69527a2cd090b73a8def8d8f280ba7909d06c0bad82d75a2317c7fa210e097","abstract_canon_sha256":"575703dd138e7bbab43522a85def76d4fd43f321d6baab7c71caf1d14853242b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:10.892621Z","signature_b64":"su9T/zBdv4BHhkziBbPrRv05xxKB6QzYPrJsUu3cKzzP1aTjvsMAtOPfj4oWyJYZnXN7fn09r8P7JSDRlJavCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"967dde152c6ccfa7623a7d4f0e13e9295aca57f02ef66a6468639b386c13b931","last_reissued_at":"2026-05-18T00:01:10.892046Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:10.892046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Equivariant slices for symplectic cones","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RT","math.SG"],"primary_cat":"math.AG","authors_text":"Travis Schedler","submitted_at":"2015-01-14T15:19:13Z","abstract_excerpt":"The Darboux-Weinstein decomposition is a central result in the theory of Poisson (degenerate symplectic) varieties, which gives a local decomposition at a point as a product of the formal neighborhood of the symplectic leaf through the point and a formal slice.\n  Recently, conical symplectic resolutions, and more generally, Poisson cones, have been very actively studied in representation theory and algebraic geometry. This motivates asking for a C*-equivariant version of the Darboux-Weinstein decomposition.\n  In this paper, we develop such a theory, prove basic results on their existence and u"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.03368","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":""},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1501.03368","created_at":"2026-05-18T00:01:10.892127+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.03368v2","created_at":"2026-05-18T00:01:10.892127+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.03368","created_at":"2026-05-18T00:01:10.892127+00:00"},{"alias_kind":"pith_short_12","alias_value":"SZ654FJMNTH2","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_16","alias_value":"SZ654FJMNTH2OYR2","created_at":"2026-05-18T12:29:42.218222+00:00"},{"alias_kind":"pith_short_8","alias_value":"SZ654FJM","created_at":"2026-05-18T12:29:42.218222+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/SZ654FJMNTH2OYR2PVHQ4E7JFF","json":"https://pith.science/pith/SZ654FJMNTH2OYR2PVHQ4E7JFF.json","graph_json":"https://pith.science/api/pith-number/SZ654FJMNTH2OYR2PVHQ4E7JFF/graph.json","events_json":"https://pith.science/api/pith-number/SZ654FJMNTH2OYR2PVHQ4E7JFF/events.json","paper":"https://pith.science/paper/SZ654FJM"},"agent_actions":{"view_html":"https://pith.science/pith/SZ654FJMNTH2OYR2PVHQ4E7JFF","download_json":"https://pith.science/pith/SZ654FJMNTH2OYR2PVHQ4E7JFF.json","view_paper":"https://pith.science/paper/SZ654FJM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.03368&json=true","fetch_graph":"https://pith.science/api/pith-number/SZ654FJMNTH2OYR2PVHQ4E7JFF/graph.json","fetch_events":"https://pith.science/api/pith-number/SZ654FJMNTH2OYR2PVHQ4E7JFF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SZ654FJMNTH2OYR2PVHQ4E7JFF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SZ654FJMNTH2OYR2PVHQ4E7JFF/action/storage_attestation","attest_author":"https://pith.science/pith/SZ654FJMNTH2OYR2PVHQ4E7JFF/action/author_attestation","sign_citation":"https://pith.science/pith/SZ654FJMNTH2OYR2PVHQ4E7JFF/action/citation_signature","submit_replication":"https://pith.science/pith/SZ654FJMNTH2OYR2PVHQ4E7JFF/action/replication_record"}},"created_at":"2026-05-18T00:01:10.892127+00:00","updated_at":"2026-05-18T00:01:10.892127+00:00"}