{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:3MYVR53NM3I76K7BLEVAS5KKXS","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":"8d18b789ec25c4ecb69ce1c1ac75f9efd864d000b4870e4a423d025f56876646","cross_cats_sorted":["math.FA","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-14T00:05:34Z","title_canon_sha256":"c969de2da6a40a0895303c1870eab05aa831af00afe5b133a608e083fd60a6dd"},"schema_version":"1.0","source":{"id":"1710.05105","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.05105","created_at":"2026-05-18T00:32:54Z"},{"alias_kind":"arxiv_version","alias_value":"1710.05105v1","created_at":"2026-05-18T00:32:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.05105","created_at":"2026-05-18T00:32:54Z"},{"alias_kind":"pith_short_12","alias_value":"3MYVR53NM3I7","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_16","alias_value":"3MYVR53NM3I76K7B","created_at":"2026-05-18T12:30:58Z"},{"alias_kind":"pith_short_8","alias_value":"3MYVR53N","created_at":"2026-05-18T12:30:58Z"}],"graph_snapshots":[{"event_id":"sha256:beff3a539b414f355017d7bcd8395fc9400a58276d8e152d0c63b71823eb0aa2","target":"graph","created_at":"2026-05-18T00:32:54Z","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":"We obtain sufficient conditions that ensure block diagonalization (by a direct rotation) of sign-indefinite symmetric sesquilinear forms as well as the associated operators that are semi-bounded neither from below nor from above. In the semi-bounded case, we refine the obtained results and, as an example, revisit the block Stokes Operator from fluid dynamics.","authors_text":"Konstantin A. Makarov, Kre\\v{s}imir Veseli\\'c, Luka Grubi\\v{s}i\\'c, Stephan Schmitz, Vadim Kostrykin","cross_cats":["math.FA","math.MP","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-14T00:05:34Z","title":"Diagonalization of indefinite saddle point forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.05105","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":"sha256:0ba1c3eb5d5a08004eb6036a98e7f8a0d4601d7ee80213398acd444acb9ad933","target":"record","created_at":"2026-05-18T00:32:54Z","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":"8d18b789ec25c4ecb69ce1c1ac75f9efd864d000b4870e4a423d025f56876646","cross_cats_sorted":["math.FA","math.MP","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-10-14T00:05:34Z","title_canon_sha256":"c969de2da6a40a0895303c1870eab05aa831af00afe5b133a608e083fd60a6dd"},"schema_version":"1.0","source":{"id":"1710.05105","kind":"arxiv","version":1}},"canonical_sha256":"db3158f76d66d1ff2be1592a09754abc80e630aa94e96110d2e5ca320367df7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"db3158f76d66d1ff2be1592a09754abc80e630aa94e96110d2e5ca320367df7d","first_computed_at":"2026-05-18T00:32:54.355390Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:54.355390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Lb1Q4hZNHnEd9txZcGz9XOQN9R+m721UuuuRSiG25o5aLpNv4KG/6ypYIHr2pA74Zp2iePP7q/00hTXORWo8CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:54.355915Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.05105","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0ba1c3eb5d5a08004eb6036a98e7f8a0d4601d7ee80213398acd444acb9ad933","sha256:beff3a539b414f355017d7bcd8395fc9400a58276d8e152d0c63b71823eb0aa2"],"state_sha256":"109e6a9821b40bd67d8ae179126723b85521a6ec322666b4122889d12453ce09"}