{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:RHAAMLBB4GR7YQAPJLY6BX3XHJ","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":"ff9f94fa1ef66c2b8a7fb9b072af3ffecada1fe41199fba6469e2c92824cc88f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-12-04T21:32:37Z","title_canon_sha256":"ef3396551d98d3ab29f7efe1f4e4a78bce3a5fd6fc7ae28b2387db504c266043"},"schema_version":"1.0","source":{"id":"1312.1362","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.1362","created_at":"2026-05-18T03:05:27Z"},{"alias_kind":"arxiv_version","alias_value":"1312.1362v1","created_at":"2026-05-18T03:05:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.1362","created_at":"2026-05-18T03:05:27Z"},{"alias_kind":"pith_short_12","alias_value":"RHAAMLBB4GR7","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_16","alias_value":"RHAAMLBB4GR7YQAP","created_at":"2026-05-18T12:27:57Z"},{"alias_kind":"pith_short_8","alias_value":"RHAAMLBB","created_at":"2026-05-18T12:27:57Z"}],"graph_snapshots":[{"event_id":"sha256:39430977d7a24da8a7a11ba4d8ab38a37d05ce0d2ea5d988f8b521ae7ef381d8","target":"graph","created_at":"2026-05-18T03:05:27Z","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":"The de Branges--Rovnyak spaces are known to provide an alternate functional model for contractions on a Hilbert space, equivalent to the Sz.-Nagy--Foias model. The scalar de Branges--Rovnyak spaces $\\mathcal{H}(b)$ have essentially different properties, according to whether the defining function $b$ is or not extreme in the unit ball of $H^\\infty$. For $b$ extreme the model space is just $\\mathcal{H}(b)$, while for $b$ nonextreme an additional construction is required. In the present paper we identify the precise class of contractions which have as a model $\\mathcal{H}(b)$ with $b$ nonextreme.","authors_text":"Dan Timotin, Javad Mashreghi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-12-04T21:32:37Z","title":"Nonextreme de Branges-Rovnyak spaces as models for contractions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.1362","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:d0ead933e656f9f8962583b1172f7be4287501f7db4d67a14b76b21b52ca736a","target":"record","created_at":"2026-05-18T03:05:27Z","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":"ff9f94fa1ef66c2b8a7fb9b072af3ffecada1fe41199fba6469e2c92824cc88f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-12-04T21:32:37Z","title_canon_sha256":"ef3396551d98d3ab29f7efe1f4e4a78bce3a5fd6fc7ae28b2387db504c266043"},"schema_version":"1.0","source":{"id":"1312.1362","kind":"arxiv","version":1}},"canonical_sha256":"89c0062c21e1a3fc400f4af1e0df773a5188063c6b71d49c6f59a6ea86f73555","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"89c0062c21e1a3fc400f4af1e0df773a5188063c6b71d49c6f59a6ea86f73555","first_computed_at":"2026-05-18T03:05:27.530600Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:27.530600Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nt1NuOX2R6cuRYcvE6G55o9yEOp84JwXygBG/jiKZCTrvCI96BVCTU1dEgKVQpMnDK4t+oGjydPLffFwnG5kBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:27.531339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.1362","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d0ead933e656f9f8962583b1172f7be4287501f7db4d67a14b76b21b52ca736a","sha256:39430977d7a24da8a7a11ba4d8ab38a37d05ce0d2ea5d988f8b521ae7ef381d8"],"state_sha256":"d0722f24215b37928f574f7d963cfeb3e7d5694ec66c9951149060496848f243"}