{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:OGBJCANQC4THGIGUT3QMLTHWWT","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":"fbc7f98529b351f30aac1c34710596ed76b60a9dc839f8030805291d24ff38e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-01T16:15:22Z","title_canon_sha256":"f7e88f81340f8a0e12c52c6bc2b82bbbc2bed990491f33e548bd21cd48f5f687"},"schema_version":"1.0","source":{"id":"1302.0217","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1302.0217","created_at":"2026-05-18T02:45:32Z"},{"alias_kind":"arxiv_version","alias_value":"1302.0217v1","created_at":"2026-05-18T02:45:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1302.0217","created_at":"2026-05-18T02:45:32Z"},{"alias_kind":"pith_short_12","alias_value":"OGBJCANQC4TH","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_16","alias_value":"OGBJCANQC4THGIGU","created_at":"2026-05-18T12:27:54Z"},{"alias_kind":"pith_short_8","alias_value":"OGBJCANQ","created_at":"2026-05-18T12:27:54Z"}],"graph_snapshots":[{"event_id":"sha256:7a72e4eb3ec8b7ab2cc72e424310b7dc1d6b2f8bdcdbc7a94ebd95a866cb0063","target":"graph","created_at":"2026-05-18T02:45:32Z","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":"Bielavsky introduced and investigated the class of symmetric symplectic spaces, that is, symmetric spaces endowed with a symplectic form invariant with respect to symmetries. Since the theory of symmetric spaces has generalizations, we ask a question about their possible symplectic versions. We do construct such generalizations and extend some of Bieliavsky's results. In particular, we classify all 3-symmetric symplectic spaces.","authors_text":"Aleksy Tralle, Maciej Bochenski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-01T16:15:22Z","title":"Generalized symplectic symmetric spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1302.0217","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:eea39e1e67df146955fe03c356a88e516f008ae6a338abf554bb25f11d9981d9","target":"record","created_at":"2026-05-18T02:45:32Z","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":"fbc7f98529b351f30aac1c34710596ed76b60a9dc839f8030805291d24ff38e1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-02-01T16:15:22Z","title_canon_sha256":"f7e88f81340f8a0e12c52c6bc2b82bbbc2bed990491f33e548bd21cd48f5f687"},"schema_version":"1.0","source":{"id":"1302.0217","kind":"arxiv","version":1}},"canonical_sha256":"71829101b017267320d49ee0c5ccf6b4f724bb07a86aca5cb0c62b96094e582f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"71829101b017267320d49ee0c5ccf6b4f724bb07a86aca5cb0c62b96094e582f","first_computed_at":"2026-05-18T02:45:32.167520Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:32.167520Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tsSdJA7QCO+YH8Is6e4hdWu85thxp/uaQup2lFqHJB2STWGof+B7FlWXgCSMQrcpJwyBiDBBvI0FPQCvug1oCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:32.168175Z","signed_message":"canonical_sha256_bytes"},"source_id":"1302.0217","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eea39e1e67df146955fe03c356a88e516f008ae6a338abf554bb25f11d9981d9","sha256:7a72e4eb3ec8b7ab2cc72e424310b7dc1d6b2f8bdcdbc7a94ebd95a866cb0063"],"state_sha256":"14bf2706e3a0107a67dd6381a7008ff43a6d1158e5c256f24d27516bb818b083"}