{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:4OGQ2RLGPW4E6UXZELTDSQW5IM","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":"27a673e1c79b6a9f55e2555d9eeaa9d03e785b7dcae3851f46899e0844790fed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-12-17T21:41:00Z","title_canon_sha256":"40737279afabc1c7d57c3ade19852679b9bd71140846a500b9c0cb6ef34a703a"},"schema_version":"1.0","source":{"id":"1812.07065","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.07065","created_at":"2026-05-17T23:58:08Z"},{"alias_kind":"arxiv_version","alias_value":"1812.07065v1","created_at":"2026-05-17T23:58:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.07065","created_at":"2026-05-17T23:58:08Z"},{"alias_kind":"pith_short_12","alias_value":"4OGQ2RLGPW4E","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"4OGQ2RLGPW4E6UXZ","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"4OGQ2RLG","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:916e48d7f6025f35df15e7606e79e01aef9817dc8fb960a64e6e33f78d8723a4","target":"graph","created_at":"2026-05-17T23:58:08Z","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 de Branges-Rovnyak spaces include as special cases a number of spaces, such as the Hardy space, the Fock space, the Hardy-Sobolev space and the Dirichlet space. We present a general framework in which all these spaces can be obtained by specializing a sequence that appears in the construction. We show how to exploit this approach to solve interpolation problems in the Fock space.","authors_text":"Daniel Alpay, Fabrizio Colombo, Irene Sabadini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-12-17T21:41:00Z","title":"The Fock space as a de Branges-Rovnyak space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.07065","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":"sha256:5149e722579a12bf1a4e72918abd21adc4f8062a272ee6c6dc6d4535438beff7","target":"record","created_at":"2026-05-17T23:58:08Z","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":"27a673e1c79b6a9f55e2555d9eeaa9d03e785b7dcae3851f46899e0844790fed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-12-17T21:41:00Z","title_canon_sha256":"40737279afabc1c7d57c3ade19852679b9bd71140846a500b9c0cb6ef34a703a"},"schema_version":"1.0","source":{"id":"1812.07065","kind":"arxiv","version":1}},"canonical_sha256":"e38d0d45667db84f52f922e63942dd430057a7cfa2cc9814e88768edbd09e7e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e38d0d45667db84f52f922e63942dd430057a7cfa2cc9814e88768edbd09e7e0","first_computed_at":"2026-05-17T23:58:08.109024Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:58:08.109024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LNAdvoImR+I8kdi6Q/tJISUgnRw6VGzmdIMRWTo0YzzxqO4w5Wl7+yK5+SWpvDZOsE8hRjukYolyKdGiJnhBCA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:58:08.109730Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.07065","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5149e722579a12bf1a4e72918abd21adc4f8062a272ee6c6dc6d4535438beff7","sha256:916e48d7f6025f35df15e7606e79e01aef9817dc8fb960a64e6e33f78d8723a4"],"state_sha256":"891f747658863696e8c10caab1cd48d1d0483b2045523ae1bb488e95d7d53aed"}