{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:RPOYAI4Q54L54DCLSN3ZEQ34UT","short_pith_number":"pith:RPOYAI4Q","canonical_record":{"source":{"id":"1804.08485","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-04-23T14:59:01Z","cross_cats_sorted":[],"title_canon_sha256":"5ecbe0208a4becad855e31ba847c943bd903615988a8ca0a11f46bfa442c8fc6","abstract_canon_sha256":"2c471c98bdcd16490b15b85d3e3d884001c6e5f75744b865422943a2b703a118"},"schema_version":"1.0"},"canonical_sha256":"8bdd802390ef17de0c4b937792437ca4fca0c381d614d67285a7bb33a3ae6055","source":{"kind":"arxiv","id":"1804.08485","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.08485","created_at":"2026-05-18T00:17:48Z"},{"alias_kind":"arxiv_version","alias_value":"1804.08485v1","created_at":"2026-05-18T00:17:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08485","created_at":"2026-05-18T00:17:48Z"},{"alias_kind":"pith_short_12","alias_value":"RPOYAI4Q54L5","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RPOYAI4Q54L54DCL","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RPOYAI4Q","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:RPOYAI4Q54L54DCLSN3ZEQ34UT","target":"record","payload":{"canonical_record":{"source":{"id":"1804.08485","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-04-23T14:59:01Z","cross_cats_sorted":[],"title_canon_sha256":"5ecbe0208a4becad855e31ba847c943bd903615988a8ca0a11f46bfa442c8fc6","abstract_canon_sha256":"2c471c98bdcd16490b15b85d3e3d884001c6e5f75744b865422943a2b703a118"},"schema_version":"1.0"},"canonical_sha256":"8bdd802390ef17de0c4b937792437ca4fca0c381d614d67285a7bb33a3ae6055","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:17:48.196422Z","signature_b64":"upmrvIfArAL8AX9wk9p2TjZ94BfakQEFN8LGlA/p+5ZNlDL87+PC6RIJpoSxuHtTXOzuZ79TYY8GN9AgkdH9CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8bdd802390ef17de0c4b937792437ca4fca0c381d614d67285a7bb33a3ae6055","last_reissued_at":"2026-05-18T00:17:48.195738Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:17:48.195738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1804.08485","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:17:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Rgj5q5UH4tzhKog4ORtiByDortxODwiEVqZToCokwO0Y0W/RiF4oY/vcs2OToJiV5AAqXFSVTjIs/ajimBicDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:37:29.814229Z"},"content_sha256":"bce96b9610f4a0cc8570576100cf5acc1e3804dd6448a099c3c9518fcfa5f7ac","schema_version":"1.0","event_id":"sha256:bce96b9610f4a0cc8570576100cf5acc1e3804dd6448a099c3c9518fcfa5f7ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:RPOYAI4Q54L54DCLSN3ZEQ34UT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Interpolation in de Branges-Rovnyak spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Joseph A. Ball, Sanne ter Horst, Vladimir Bolotnikov","submitted_at":"2018-04-23T14:59:01Z","abstract_excerpt":"A general interpolation problem with operator argument is studied for functions f from the de Branges-Rovnyak space H(s) associated with an analytic function s mapping the open unit disk D into the closed unit disk. The interpolation condition is taken in the Rosenblum-Rovnyak form f(A)c = b (with a suitable interpretation of f(A)c) for given Hilbert space operator A and two vectors b; c from the same space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08485","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:17:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CupS57a8kYTCQMf8nSo2cZLeYgl0LLqrpbKmneYc7nZo4kxERURKd2p4MopAiO4qqxU4E8OP8NHnQknIBKsfAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T05:37:29.814606Z"},"content_sha256":"9dfbc8fbd38913cebc52eb79517347a4a48df4c8be3ae16590e081a2b67d7b38","schema_version":"1.0","event_id":"sha256:9dfbc8fbd38913cebc52eb79517347a4a48df4c8be3ae16590e081a2b67d7b38"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RPOYAI4Q54L54DCLSN3ZEQ34UT/bundle.json","state_url":"https://pith.science/pith/RPOYAI4Q54L54DCLSN3ZEQ34UT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RPOYAI4Q54L54DCLSN3ZEQ34UT/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-03T05:37:29Z","links":{"resolver":"https://pith.science/pith/RPOYAI4Q54L54DCLSN3ZEQ34UT","bundle":"https://pith.science/pith/RPOYAI4Q54L54DCLSN3ZEQ34UT/bundle.json","state":"https://pith.science/pith/RPOYAI4Q54L54DCLSN3ZEQ34UT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RPOYAI4Q54L54DCLSN3ZEQ34UT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RPOYAI4Q54L54DCLSN3ZEQ34UT","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":"2c471c98bdcd16490b15b85d3e3d884001c6e5f75744b865422943a2b703a118","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-04-23T14:59:01Z","title_canon_sha256":"5ecbe0208a4becad855e31ba847c943bd903615988a8ca0a11f46bfa442c8fc6"},"schema_version":"1.0","source":{"id":"1804.08485","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.08485","created_at":"2026-05-18T00:17:48Z"},{"alias_kind":"arxiv_version","alias_value":"1804.08485v1","created_at":"2026-05-18T00:17:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.08485","created_at":"2026-05-18T00:17:48Z"},{"alias_kind":"pith_short_12","alias_value":"RPOYAI4Q54L5","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RPOYAI4Q54L54DCL","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RPOYAI4Q","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:9dfbc8fbd38913cebc52eb79517347a4a48df4c8be3ae16590e081a2b67d7b38","target":"graph","created_at":"2026-05-18T00:17:48Z","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":"A general interpolation problem with operator argument is studied for functions f from the de Branges-Rovnyak space H(s) associated with an analytic function s mapping the open unit disk D into the closed unit disk. The interpolation condition is taken in the Rosenblum-Rovnyak form f(A)c = b (with a suitable interpretation of f(A)c) for given Hilbert space operator A and two vectors b; c from the same space.","authors_text":"Joseph A. Ball, Sanne ter Horst, Vladimir Bolotnikov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-04-23T14:59:01Z","title":"Interpolation in de Branges-Rovnyak spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.08485","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:bce96b9610f4a0cc8570576100cf5acc1e3804dd6448a099c3c9518fcfa5f7ac","target":"record","created_at":"2026-05-18T00:17:48Z","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":"2c471c98bdcd16490b15b85d3e3d884001c6e5f75744b865422943a2b703a118","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-04-23T14:59:01Z","title_canon_sha256":"5ecbe0208a4becad855e31ba847c943bd903615988a8ca0a11f46bfa442c8fc6"},"schema_version":"1.0","source":{"id":"1804.08485","kind":"arxiv","version":1}},"canonical_sha256":"8bdd802390ef17de0c4b937792437ca4fca0c381d614d67285a7bb33a3ae6055","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8bdd802390ef17de0c4b937792437ca4fca0c381d614d67285a7bb33a3ae6055","first_computed_at":"2026-05-18T00:17:48.195738Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:17:48.195738Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"upmrvIfArAL8AX9wk9p2TjZ94BfakQEFN8LGlA/p+5ZNlDL87+PC6RIJpoSxuHtTXOzuZ79TYY8GN9AgkdH9CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:17:48.196422Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.08485","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bce96b9610f4a0cc8570576100cf5acc1e3804dd6448a099c3c9518fcfa5f7ac","sha256:9dfbc8fbd38913cebc52eb79517347a4a48df4c8be3ae16590e081a2b67d7b38"],"state_sha256":"de3bdd9853d43d37380063bb45d653cc8959edb9ad7bfce1e57dc1742a491968"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R6ntvOvuAJl5y/7K6+hBM/TDxUpIWYGOQq+1KU/3UrZfmvONWSaJWwFq+yKrkrE+drnzQB11+mkj90zwggvuDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T05:37:29.816621Z","bundle_sha256":"f2de33df2c62728becb4e6adf8803aa8a4ef78e1cb52bff44a7852fb49af8119"}}