{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4JL5XSVQYCHFAI7NKPYSZRZJOE","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":"8cda442b39462d5f13b21f5b2668735cd9adaa7d50576672f8ea95943860412e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-02-04T01:45:16Z","title_canon_sha256":"0ee779805476c79faa3d2b75c94e5dc48245c790c8d9bbece7e040f92ff0a642"},"schema_version":"1.0","source":{"id":"1702.01222","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.01222","created_at":"2026-05-18T00:51:24Z"},{"alias_kind":"arxiv_version","alias_value":"1702.01222v1","created_at":"2026-05-18T00:51:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.01222","created_at":"2026-05-18T00:51:24Z"},{"alias_kind":"pith_short_12","alias_value":"4JL5XSVQYCHF","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4JL5XSVQYCHFAI7N","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4JL5XSVQ","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:16dd7ebb8ca7a0e665f58bc87f5f91ded62fb94e3c59e1b9c90b381c89e046cc","target":"graph","created_at":"2026-05-18T00:51:24Z","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 show that truncated Toeplitz operators are characterized by a collection of complex symmetries. This was conjectured by Klis-Garlicka, Lanucha, and Ptak, and proved by them in some special cases.","authors_text":"Dan Timotin, Hari Bercovici","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-02-04T01:45:16Z","title":"Truncated Toeplitz operators and complex symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.01222","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:ab4ec6c53230797376692b6ee2882b213ec8872a5108c6b64173cc7475c162f2","target":"record","created_at":"2026-05-18T00:51:24Z","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":"8cda442b39462d5f13b21f5b2668735cd9adaa7d50576672f8ea95943860412e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2017-02-04T01:45:16Z","title_canon_sha256":"0ee779805476c79faa3d2b75c94e5dc48245c790c8d9bbece7e040f92ff0a642"},"schema_version":"1.0","source":{"id":"1702.01222","kind":"arxiv","version":1}},"canonical_sha256":"e257dbcab0c08e5023ed53f12cc7297129899889b88064398371ba4191f6e6f8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e257dbcab0c08e5023ed53f12cc7297129899889b88064398371ba4191f6e6f8","first_computed_at":"2026-05-18T00:51:24.127793Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:51:24.127793Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fkJyJtX54G4c+LdJDSNIXUx/GNCSWz5xviox9rFr7ewck4Hij+eCr68kgjIGWTQqP1q4HfqEF001QlA4Mq4/Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:51:24.128512Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.01222","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ab4ec6c53230797376692b6ee2882b213ec8872a5108c6b64173cc7475c162f2","sha256:16dd7ebb8ca7a0e665f58bc87f5f91ded62fb94e3c59e1b9c90b381c89e046cc"],"state_sha256":"c1b21bb18e19ec055e19ee27480270d18d25eeab6f4fdbe5b2ef302c2b2fd57a"}