{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:4OGQ2RLGPW4E6UXZELTDSQW5IM","short_pith_number":"pith:4OGQ2RLG","schema_version":"1.0","canonical_sha256":"e38d0d45667db84f52f922e63942dd430057a7cfa2cc9814e88768edbd09e7e0","source":{"kind":"arxiv","id":"1812.07065","version":1},"attestation_state":"computed","paper":{"title":"The Fock space as a de Branges-Rovnyak space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Daniel Alpay, Fabrizio Colombo, Irene Sabadini","submitted_at":"2018-12-17T21:41:00Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1812.07065","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-12-17T21:41:00Z","cross_cats_sorted":[],"title_canon_sha256":"40737279afabc1c7d57c3ade19852679b9bd71140846a500b9c0cb6ef34a703a","abstract_canon_sha256":"27a673e1c79b6a9f55e2555d9eeaa9d03e785b7dcae3851f46899e0844790fed"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:58:08.109730Z","signature_b64":"LNAdvoImR+I8kdi6Q/tJISUgnRw6VGzmdIMRWTo0YzzxqO4w5Wl7+yK5+SWpvDZOsE8hRjukYolyKdGiJnhBCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e38d0d45667db84f52f922e63942dd430057a7cfa2cc9814e88768edbd09e7e0","last_reissued_at":"2026-05-17T23:58:08.109024Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:58:08.109024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Fock space as a de Branges-Rovnyak space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Daniel Alpay, Fabrizio Colombo, Irene Sabadini","submitted_at":"2018-12-17T21:41:00Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.07065","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1812.07065","created_at":"2026-05-17T23:58:08.109147+00:00"},{"alias_kind":"arxiv_version","alias_value":"1812.07065v1","created_at":"2026-05-17T23:58:08.109147+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.07065","created_at":"2026-05-17T23:58:08.109147+00:00"},{"alias_kind":"pith_short_12","alias_value":"4OGQ2RLGPW4E","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_16","alias_value":"4OGQ2RLGPW4E6UXZ","created_at":"2026-05-18T12:32:05.422762+00:00"},{"alias_kind":"pith_short_8","alias_value":"4OGQ2RLG","created_at":"2026-05-18T12:32:05.422762+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/4OGQ2RLGPW4E6UXZELTDSQW5IM","json":"https://pith.science/pith/4OGQ2RLGPW4E6UXZELTDSQW5IM.json","graph_json":"https://pith.science/api/pith-number/4OGQ2RLGPW4E6UXZELTDSQW5IM/graph.json","events_json":"https://pith.science/api/pith-number/4OGQ2RLGPW4E6UXZELTDSQW5IM/events.json","paper":"https://pith.science/paper/4OGQ2RLG"},"agent_actions":{"view_html":"https://pith.science/pith/4OGQ2RLGPW4E6UXZELTDSQW5IM","download_json":"https://pith.science/pith/4OGQ2RLGPW4E6UXZELTDSQW5IM.json","view_paper":"https://pith.science/paper/4OGQ2RLG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1812.07065&json=true","fetch_graph":"https://pith.science/api/pith-number/4OGQ2RLGPW4E6UXZELTDSQW5IM/graph.json","fetch_events":"https://pith.science/api/pith-number/4OGQ2RLGPW4E6UXZELTDSQW5IM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/4OGQ2RLGPW4E6UXZELTDSQW5IM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/4OGQ2RLGPW4E6UXZELTDSQW5IM/action/storage_attestation","attest_author":"https://pith.science/pith/4OGQ2RLGPW4E6UXZELTDSQW5IM/action/author_attestation","sign_citation":"https://pith.science/pith/4OGQ2RLGPW4E6UXZELTDSQW5IM/action/citation_signature","submit_replication":"https://pith.science/pith/4OGQ2RLGPW4E6UXZELTDSQW5IM/action/replication_record"}},"created_at":"2026-05-17T23:58:08.109147+00:00","updated_at":"2026-05-17T23:58:08.109147+00:00"}