{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:ONVKKCDNJAPZ5YZBVZ3DRLHMYT","short_pith_number":"pith:ONVKKCDN","canonical_record":{"source":{"id":"1611.06037","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-11-18T10:42:24Z","cross_cats_sorted":[],"title_canon_sha256":"1bbd6676ea6d251cbdf185453e894f19285aef466be5de9a66e0ad4c262cf1c6","abstract_canon_sha256":"1b52ee640d1a3894678564c195c56ceb8bb8963917387520f141131ce09a9c0e"},"schema_version":"1.0"},"canonical_sha256":"736aa5086d481f9ee321ae7638acecc4e92c5e4993f8b5308045cdf1183c7c1d","source":{"kind":"arxiv","id":"1611.06037","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.06037","created_at":"2026-05-18T00:57:43Z"},{"alias_kind":"arxiv_version","alias_value":"1611.06037v1","created_at":"2026-05-18T00:57:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.06037","created_at":"2026-05-18T00:57:43Z"},{"alias_kind":"pith_short_12","alias_value":"ONVKKCDNJAPZ","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"ONVKKCDNJAPZ5YZB","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"ONVKKCDN","created_at":"2026-05-18T12:30:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:ONVKKCDNJAPZ5YZBVZ3DRLHMYT","target":"record","payload":{"canonical_record":{"source":{"id":"1611.06037","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-11-18T10:42:24Z","cross_cats_sorted":[],"title_canon_sha256":"1bbd6676ea6d251cbdf185453e894f19285aef466be5de9a66e0ad4c262cf1c6","abstract_canon_sha256":"1b52ee640d1a3894678564c195c56ceb8bb8963917387520f141131ce09a9c0e"},"schema_version":"1.0"},"canonical_sha256":"736aa5086d481f9ee321ae7638acecc4e92c5e4993f8b5308045cdf1183c7c1d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:57:43.250997Z","signature_b64":"nWvFiQZfoZeLzuL1CRVaIClMiPZiz/XQlqaJgEyPBtEIyz38/KIX0iJh7Wko3X5TZ8TouFRVoTRhmqj1Eqc+Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"736aa5086d481f9ee321ae7638acecc4e92c5e4993f8b5308045cdf1183c7c1d","last_reissued_at":"2026-05-18T00:57:43.250410Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:57:43.250410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.06037","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":"2026-05-18T00:57:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k+1ijv/aUf1x8puFsepPdH9iOKJAEKcqJNGVHDX48yZMaYCxwQf7elT1i4/MNqsSAJLcwGuzhjlP8qoQwQnYDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T15:19:21.073406Z"},"content_sha256":"7a5a5d7e758a75456df17220d4a780ec0efad55078a77eb6451c0a081c0cdf10","schema_version":"1.0","event_id":"sha256:7a5a5d7e758a75456df17220d4a780ec0efad55078a77eb6451c0a081c0cdf10"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:ONVKKCDNJAPZ5YZBVZ3DRLHMYT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Slice regular Malmquist-Takenaka system in the quaternionic Hardy spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Margit Pap","submitted_at":"2016-11-18T10:42:24Z","abstract_excerpt":"A slice regular analogue of the Malmquist-Takenaka system is investigated. It is proved that they form a complete orthonormal system in the quaternionic Hardy spaces of the unit ball. The properties of associated projection operator are studied.\n  Key Words and Phrases: Functions of hypercomplex variables, quaternionic Hardy spaces, series expansions, interpolation, approximation by rational functions, quaternionic Malmquist-Takenaka system"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06037","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":"2026-05-18T00:57:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SOboyWu4BeF5kFLUzn7eHivlULQwNGo4PVkHjxxnKaVgOrHLGnO5CwCL6SFE62oIW6IoEK9Vgfv4izRl2VGfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T15:19:21.073746Z"},"content_sha256":"e99558bab8e382252cabdd371f2443d25d2814afbf8d84d9d691aba582ea4c7e","schema_version":"1.0","event_id":"sha256:e99558bab8e382252cabdd371f2443d25d2814afbf8d84d9d691aba582ea4c7e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ONVKKCDNJAPZ5YZBVZ3DRLHMYT/bundle.json","state_url":"https://pith.science/pith/ONVKKCDNJAPZ5YZBVZ3DRLHMYT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ONVKKCDNJAPZ5YZBVZ3DRLHMYT/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":"2026-06-29T15:19:21Z","links":{"resolver":"https://pith.science/pith/ONVKKCDNJAPZ5YZBVZ3DRLHMYT","bundle":"https://pith.science/pith/ONVKKCDNJAPZ5YZBVZ3DRLHMYT/bundle.json","state":"https://pith.science/pith/ONVKKCDNJAPZ5YZBVZ3DRLHMYT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ONVKKCDNJAPZ5YZBVZ3DRLHMYT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:ONVKKCDNJAPZ5YZBVZ3DRLHMYT","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":"1b52ee640d1a3894678564c195c56ceb8bb8963917387520f141131ce09a9c0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-11-18T10:42:24Z","title_canon_sha256":"1bbd6676ea6d251cbdf185453e894f19285aef466be5de9a66e0ad4c262cf1c6"},"schema_version":"1.0","source":{"id":"1611.06037","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.06037","created_at":"2026-05-18T00:57:43Z"},{"alias_kind":"arxiv_version","alias_value":"1611.06037v1","created_at":"2026-05-18T00:57:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.06037","created_at":"2026-05-18T00:57:43Z"},{"alias_kind":"pith_short_12","alias_value":"ONVKKCDNJAPZ","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"ONVKKCDNJAPZ5YZB","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"ONVKKCDN","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:e99558bab8e382252cabdd371f2443d25d2814afbf8d84d9d691aba582ea4c7e","target":"graph","created_at":"2026-05-18T00:57:43Z","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 slice regular analogue of the Malmquist-Takenaka system is investigated. It is proved that they form a complete orthonormal system in the quaternionic Hardy spaces of the unit ball. The properties of associated projection operator are studied.\n  Key Words and Phrases: Functions of hypercomplex variables, quaternionic Hardy spaces, series expansions, interpolation, approximation by rational functions, quaternionic Malmquist-Takenaka system","authors_text":"Margit Pap","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-11-18T10:42:24Z","title":"Slice regular Malmquist-Takenaka system in the quaternionic Hardy spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.06037","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":"sha256:7a5a5d7e758a75456df17220d4a780ec0efad55078a77eb6451c0a081c0cdf10","target":"record","created_at":"2026-05-18T00:57:43Z","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":"1b52ee640d1a3894678564c195c56ceb8bb8963917387520f141131ce09a9c0e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-11-18T10:42:24Z","title_canon_sha256":"1bbd6676ea6d251cbdf185453e894f19285aef466be5de9a66e0ad4c262cf1c6"},"schema_version":"1.0","source":{"id":"1611.06037","kind":"arxiv","version":1}},"canonical_sha256":"736aa5086d481f9ee321ae7638acecc4e92c5e4993f8b5308045cdf1183c7c1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"736aa5086d481f9ee321ae7638acecc4e92c5e4993f8b5308045cdf1183c7c1d","first_computed_at":"2026-05-18T00:57:43.250410Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:57:43.250410Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nWvFiQZfoZeLzuL1CRVaIClMiPZiz/XQlqaJgEyPBtEIyz38/KIX0iJh7Wko3X5TZ8TouFRVoTRhmqj1Eqc+Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:57:43.250997Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.06037","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7a5a5d7e758a75456df17220d4a780ec0efad55078a77eb6451c0a081c0cdf10","sha256:e99558bab8e382252cabdd371f2443d25d2814afbf8d84d9d691aba582ea4c7e"],"state_sha256":"a6b1db513bc6c338de4a8b0b0b7efbdcdaea400eee6decf45fcc9cf6cf63436c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JJ3dt2JKkNT+RExE1SQq2gJSmVadwTsfxHplJ1cUdO/GNcLBbDAgnPoFs/L5We2NhjboPyFKAnkl3314q3r4AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T15:19:21.075700Z","bundle_sha256":"4fcbef09b0054cefe2a5cee289715bf3f094a22245696edd0517ce438e1c971e"}}