{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:VAEIP6DLVUMQ4APVXH632TEFVV","short_pith_number":"pith:VAEIP6DL","canonical_record":{"source":{"id":"1602.07141","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-02-23T13:17:43Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"e6125957283c4858875882db942616ec6ccdad76c45e6585a1d94ca84cd40de9","abstract_canon_sha256":"7b7227788867b2c4bb5c48cfdb6b4ef1effcb22a03559800061dfec5a096f653"},"schema_version":"1.0"},"canonical_sha256":"a80887f86bad190e01f5b9fdbd4c85ad784d9ba9e7ae0ba605b123fc293eb1e6","source":{"kind":"arxiv","id":"1602.07141","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.07141","created_at":"2026-05-18T00:23:01Z"},{"alias_kind":"arxiv_version","alias_value":"1602.07141v1","created_at":"2026-05-18T00:23:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.07141","created_at":"2026-05-18T00:23:01Z"},{"alias_kind":"pith_short_12","alias_value":"VAEIP6DLVUMQ","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VAEIP6DLVUMQ4APV","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VAEIP6DL","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:VAEIP6DLVUMQ4APVXH632TEFVV","target":"record","payload":{"canonical_record":{"source":{"id":"1602.07141","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-02-23T13:17:43Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"e6125957283c4858875882db942616ec6ccdad76c45e6585a1d94ca84cd40de9","abstract_canon_sha256":"7b7227788867b2c4bb5c48cfdb6b4ef1effcb22a03559800061dfec5a096f653"},"schema_version":"1.0"},"canonical_sha256":"a80887f86bad190e01f5b9fdbd4c85ad784d9ba9e7ae0ba605b123fc293eb1e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:01.908987Z","signature_b64":"yi6y/q4Xi6vgfpJMcXXsXR7KoNenDKovGKOWR91eiR6h+5pLRQCui2sjGuBs6b16snd7FY0t8gQslcotRglvCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a80887f86bad190e01f5b9fdbd4c85ad784d9ba9e7ae0ba605b123fc293eb1e6","last_reissued_at":"2026-05-18T00:23:01.908392Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:01.908392Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.07141","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:23:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Mh9vnH9mko3z/qumg1hYTc8EPQU6HYIP+vWqfGg5D1D7wyJwSc8Z2bGM/IxYTZfvbalRdWh74dS/CkUjtMxBCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:45:00.114936Z"},"content_sha256":"31565ff01c28359760f4b70ee08006e034490528eea8bff51e4be2845729fe33","schema_version":"1.0","event_id":"sha256:31565ff01c28359760f4b70ee08006e034490528eea8bff51e4be2845729fe33"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:VAEIP6DLVUMQ4APVXH632TEFVV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical non-Hermitian cases","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.RT","authors_text":"Jacopo Gandini, Paolo Bravi, Rocco Chiriv\\`i","submitted_at":"2016-02-23T13:17:43Z","abstract_excerpt":"Given a classical semisimple complex algebraic group G and a symmetric pair (G, K) of non-Hermitian type, we study the closures of the spherical nilpotent K-orbits in the isotropy representation of K. For all such orbit closures, we study the normality and we describe the K-module structure of the ring of regular functions of the normalizations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.07141","kind":"arxiv","version":1},"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":"2026-05-18T00:23:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2Fqaw2k2UNTY4p3Irk0hxmLiphp7iHcYAcPr8BhYCHms86wENKLx+pUrzmjN+199mgLOcYDto9GiMrRlRybsCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T01:45:00.115423Z"},"content_sha256":"3d992e65687eb1f72841d52006923b8cca199fcd4a9d1f2b4889df855d0af233","schema_version":"1.0","event_id":"sha256:3d992e65687eb1f72841d52006923b8cca199fcd4a9d1f2b4889df855d0af233"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VAEIP6DLVUMQ4APVXH632TEFVV/bundle.json","state_url":"https://pith.science/pith/VAEIP6DLVUMQ4APVXH632TEFVV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VAEIP6DLVUMQ4APVXH632TEFVV/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":"2026-06-05T01:45:00Z","links":{"resolver":"https://pith.science/pith/VAEIP6DLVUMQ4APVXH632TEFVV","bundle":"https://pith.science/pith/VAEIP6DLVUMQ4APVXH632TEFVV/bundle.json","state":"https://pith.science/pith/VAEIP6DLVUMQ4APVXH632TEFVV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VAEIP6DLVUMQ4APVXH632TEFVV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:VAEIP6DLVUMQ4APVXH632TEFVV","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":"7b7227788867b2c4bb5c48cfdb6b4ef1effcb22a03559800061dfec5a096f653","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-02-23T13:17:43Z","title_canon_sha256":"e6125957283c4858875882db942616ec6ccdad76c45e6585a1d94ca84cd40de9"},"schema_version":"1.0","source":{"id":"1602.07141","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.07141","created_at":"2026-05-18T00:23:01Z"},{"alias_kind":"arxiv_version","alias_value":"1602.07141v1","created_at":"2026-05-18T00:23:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.07141","created_at":"2026-05-18T00:23:01Z"},{"alias_kind":"pith_short_12","alias_value":"VAEIP6DLVUMQ","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"VAEIP6DLVUMQ4APV","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"VAEIP6DL","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:3d992e65687eb1f72841d52006923b8cca199fcd4a9d1f2b4889df855d0af233","target":"graph","created_at":"2026-05-18T00:23:01Z","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":"Given a classical semisimple complex algebraic group G and a symmetric pair (G, K) of non-Hermitian type, we study the closures of the spherical nilpotent K-orbits in the isotropy representation of K. For all such orbit closures, we study the normality and we describe the K-module structure of the ring of regular functions of the normalizations.","authors_text":"Jacopo Gandini, Paolo Bravi, Rocco Chiriv\\`i","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-02-23T13:17:43Z","title":"Regular functions on spherical nilpotent orbits in complex symmetric pairs: classical non-Hermitian cases"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.07141","kind":"arxiv","version":1},"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":"sha256:31565ff01c28359760f4b70ee08006e034490528eea8bff51e4be2845729fe33","target":"record","created_at":"2026-05-18T00:23:01Z","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":"7b7227788867b2c4bb5c48cfdb6b4ef1effcb22a03559800061dfec5a096f653","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2016-02-23T13:17:43Z","title_canon_sha256":"e6125957283c4858875882db942616ec6ccdad76c45e6585a1d94ca84cd40de9"},"schema_version":"1.0","source":{"id":"1602.07141","kind":"arxiv","version":1}},"canonical_sha256":"a80887f86bad190e01f5b9fdbd4c85ad784d9ba9e7ae0ba605b123fc293eb1e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a80887f86bad190e01f5b9fdbd4c85ad784d9ba9e7ae0ba605b123fc293eb1e6","first_computed_at":"2026-05-18T00:23:01.908392Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:01.908392Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yi6y/q4Xi6vgfpJMcXXsXR7KoNenDKovGKOWR91eiR6h+5pLRQCui2sjGuBs6b16snd7FY0t8gQslcotRglvCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:01.908987Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.07141","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:31565ff01c28359760f4b70ee08006e034490528eea8bff51e4be2845729fe33","sha256:3d992e65687eb1f72841d52006923b8cca199fcd4a9d1f2b4889df855d0af233"],"state_sha256":"d3b6405d305fdec0fb32c449f101033827b04044f5bf012bdce216115f3be9cd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IrRFDA9zcfJ/GNjinNqcHjL/SquYUOstDh/o41fwgdU+L6nusEea7SBXjqzeaS25BzjMRoeUAnzN05skJdP/AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T01:45:00.118168Z","bundle_sha256":"900873c446ad239f4691806b89114ffc6d1ecf2c3697699c8d41fc4e660a0d85"}}