{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3SRT7UG4NCIFISXSIBI4ZZWJJD","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":"ae848e360fff2dce6a7650a0c844fdb2d8e2c67c00c0a33bac761c514f58b267","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-01-15T10:57:39Z","title_canon_sha256":"a12cd8dde26dc53e3a4cad979d92b666b1bf704585ba3dd11f613e53c12fe79f"},"schema_version":"1.0","source":{"id":"1601.03873","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.03873","created_at":"2026-05-18T01:22:49Z"},{"alias_kind":"arxiv_version","alias_value":"1601.03873v1","created_at":"2026-05-18T01:22:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.03873","created_at":"2026-05-18T01:22:49Z"},{"alias_kind":"pith_short_12","alias_value":"3SRT7UG4NCIF","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"3SRT7UG4NCIFISXS","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"3SRT7UG4","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:9f33de45ac957a07cb168143ec3474b048af39340b49b836e538900889b608a5","target":"graph","created_at":"2026-05-18T01:22:49Z","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 discuss a new concept of definitizability of a normal operator on Krein spaces. For this new concept we develop a functional calculus $\\phi \\mapsto \\phi(N)$ which is the proper analogue of $\\phi \\mapsto \\int \\phi \\, dE$ in the Hilbert space situation.","authors_text":"Michael Kaltenb\\\"ack","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-01-15T10:57:39Z","title":"Definitizability of normal operators on Krein spaces and their functional calculus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.03873","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:ada9dc5f1cd135b3f9c27684ec8d52a2438b3b58ae960eefbdea99b061a261a5","target":"record","created_at":"2026-05-18T01:22:49Z","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":"ae848e360fff2dce6a7650a0c844fdb2d8e2c67c00c0a33bac761c514f58b267","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-01-15T10:57:39Z","title_canon_sha256":"a12cd8dde26dc53e3a4cad979d92b666b1bf704585ba3dd11f613e53c12fe79f"},"schema_version":"1.0","source":{"id":"1601.03873","kind":"arxiv","version":1}},"canonical_sha256":"dca33fd0dc6890544af24051cce6c948c99c711b569d12591c554cc3bfa24875","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dca33fd0dc6890544af24051cce6c948c99c711b569d12591c554cc3bfa24875","first_computed_at":"2026-05-18T01:22:49.798094Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:22:49.798094Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4KKMQq8MFRCR+RROXsYx5Pk7NIkvnhgZb/jsgcFqzlrFQDVOY0wDoKyOM8fL+bxfOvM9DLMHm5M02ExNGjPMBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:22:49.798554Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.03873","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ada9dc5f1cd135b3f9c27684ec8d52a2438b3b58ae960eefbdea99b061a261a5","sha256:9f33de45ac957a07cb168143ec3474b048af39340b49b836e538900889b608a5"],"state_sha256":"8161efd03d1807f3dee3a6f6d0e9aadf73b652983eba62ab3010196f29bce912"}