{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:KGQSVSHQMPIVPR5DEDFGDA2EBY","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":"c1d6b19bfd6fd8f7f69463f95ef5aa4aca8bd06364be6eea85b3552f317b4439","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-11-16T10:00:17Z","title_canon_sha256":"0a0b9acfbca2ce44bf9ba692ccea3e7a06c859cc395fef4f8b0208bb3c5770e6"},"schema_version":"1.0","source":{"id":"1611.05199","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.05199","created_at":"2026-05-18T00:58:27Z"},{"alias_kind":"arxiv_version","alias_value":"1611.05199v1","created_at":"2026-05-18T00:58:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.05199","created_at":"2026-05-18T00:58:27Z"},{"alias_kind":"pith_short_12","alias_value":"KGQSVSHQMPIV","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_16","alias_value":"KGQSVSHQMPIVPR5D","created_at":"2026-05-18T12:30:25Z"},{"alias_kind":"pith_short_8","alias_value":"KGQSVSHQ","created_at":"2026-05-18T12:30:25Z"}],"graph_snapshots":[{"event_id":"sha256:48abcfe120674c079d60c0b434c3859adcbb4ebab8d4d7056d358c64a665a246","target":"graph","created_at":"2026-05-18T00:58:27Z","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":"In this paper, we define the quaternionic Fock spaces $\\mathfrak{F}_{\\alpha}^p$ of entire slice hyperholomorphic functions in a quaternionic unit ball $\\mathbb{B}$ in $\\mathbb{H}.$ We also study growth estimate and various results of entire slice regular functions in these spaces. The work of this paper is motivated by the recent work of \\cite{alpa12} and \\cite{marco}.","authors_text":"Khalid Manzoor, Sanjay Kumar, S. D. Sharma","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-11-16T10:00:17Z","title":"Quaternionic Fock space on slice hyperholomorphic functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05199","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:e6704288ac5812de6831a3fb3175cbb650e98e7ff42f81f5fd70a55c227f7799","target":"record","created_at":"2026-05-18T00:58:27Z","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":"c1d6b19bfd6fd8f7f69463f95ef5aa4aca8bd06364be6eea85b3552f317b4439","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-11-16T10:00:17Z","title_canon_sha256":"0a0b9acfbca2ce44bf9ba692ccea3e7a06c859cc395fef4f8b0208bb3c5770e6"},"schema_version":"1.0","source":{"id":"1611.05199","kind":"arxiv","version":1}},"canonical_sha256":"51a12ac8f063d157c7a320ca6183440e02b4f77da1e72ac366bccac94ec05b85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51a12ac8f063d157c7a320ca6183440e02b4f77da1e72ac366bccac94ec05b85","first_computed_at":"2026-05-18T00:58:27.697302Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:58:27.697302Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9wP7TZAa+UTybXEyNNb8qIiRY/BBTLtnI30jI5Ykc4+pyqItZU1SXyIGyPQmlyUV8osQlVEmMA+fnTEYnRnLCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:58:27.697901Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.05199","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e6704288ac5812de6831a3fb3175cbb650e98e7ff42f81f5fd70a55c227f7799","sha256:48abcfe120674c079d60c0b434c3859adcbb4ebab8d4d7056d358c64a665a246"],"state_sha256":"1c416e8cb66099d7ccec450471d1ce7e5306a0677c5fe6105e950fd2662f501b"}