{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:UUUI6IEDC6GBKG6HKLXEBSJNWI","short_pith_number":"pith:UUUI6IED","canonical_record":{"source":{"id":"1902.09945","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-02-26T14:13:24Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"b1283f6b063f8359d3d2c36a235767c3a73f842fdb736b0f387736ef035bfcb3","abstract_canon_sha256":"ba5926eaef171f33b18db16d63d0d15847c7eaa7f06382d8e4b7c732e40424d3"},"schema_version":"1.0"},"canonical_sha256":"a5288f2083178c151bc752ee40c92db225173c41946078d713c85ac805638819","source":{"kind":"arxiv","id":"1902.09945","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.09945","created_at":"2026-05-17T23:52:34Z"},{"alias_kind":"arxiv_version","alias_value":"1902.09945v1","created_at":"2026-05-17T23:52:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.09945","created_at":"2026-05-17T23:52:34Z"},{"alias_kind":"pith_short_12","alias_value":"UUUI6IEDC6GB","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UUUI6IEDC6GBKG6H","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UUUI6IED","created_at":"2026-05-18T12:33:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:UUUI6IEDC6GBKG6HKLXEBSJNWI","target":"record","payload":{"canonical_record":{"source":{"id":"1902.09945","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-02-26T14:13:24Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"b1283f6b063f8359d3d2c36a235767c3a73f842fdb736b0f387736ef035bfcb3","abstract_canon_sha256":"ba5926eaef171f33b18db16d63d0d15847c7eaa7f06382d8e4b7c732e40424d3"},"schema_version":"1.0"},"canonical_sha256":"a5288f2083178c151bc752ee40c92db225173c41946078d713c85ac805638819","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:52:34.994546Z","signature_b64":"7bGGphIJJr1UTMRk4Vpe+bvefD6J2l9k3AmkGmEVMqIpFWmbWZlkdf3HStzrrh5pJFRlKMaqkh3QLIQS8sAFBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a5288f2083178c151bc752ee40c92db225173c41946078d713c85ac805638819","last_reissued_at":"2026-05-17T23:52:34.993933Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:52:34.993933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1902.09945","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":"2026-05-17T23:52:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RTmCaMgdSZyri9EhfUd0Z/f+JVIFpmTw3nUpGB2hMeNf1RpCKreKOIAUyv9hpWjhKve3euu4HrPHV/xyNc3kAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T12:24:24.035186Z"},"content_sha256":"fdb228a28e086d45800d828e791e6d1fc221333d6b1e06b896630d9f8eafa3a4","schema_version":"1.0","event_id":"sha256:fdb228a28e086d45800d828e791e6d1fc221333d6b1e06b896630d9f8eafa3a4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:UUUI6IEDC6GBKG6HKLXEBSJNWI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On a novel class of polyanalytic Hermite polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.CV","authors_text":"Abdelhadi Benahmadi, Allal Ghanmi","submitted_at":"2019-02-26T14:13:24Z","abstract_excerpt":"We carry out some algebraic and analytic properties of a new class of orthogonal polyanalytic polynomials, including their operational formulas, recurrence relations, generating functions, integral representations and different orthogonality identities. We establish their connection and rule in describing the $L^2$--spectral theory of some special second order differential operators of Laplacian type acting on the $L^2$--gaussian Hilbert space on the whole complex plane. We will also show their importance in the theory of the so-called rank--one automorphic functions on the complex plane. In f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.09945","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":"2026-05-17T23:52:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KPoVnxRqvBLJNjahaPHbSSLb//7GMnsuJHikck2Jf7W/ppsxndlRzaz3QDReWlwq1uFagVhnhCYYMEIJkz0WBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T12:24:24.035546Z"},"content_sha256":"104457cd99e6eb8c977449e3291318c0eb265bd67273ef2d3051ec16e10cdde1","schema_version":"1.0","event_id":"sha256:104457cd99e6eb8c977449e3291318c0eb265bd67273ef2d3051ec16e10cdde1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UUUI6IEDC6GBKG6HKLXEBSJNWI/bundle.json","state_url":"https://pith.science/pith/UUUI6IEDC6GBKG6HKLXEBSJNWI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UUUI6IEDC6GBKG6HKLXEBSJNWI/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":"2026-06-04T12:24:24Z","links":{"resolver":"https://pith.science/pith/UUUI6IEDC6GBKG6HKLXEBSJNWI","bundle":"https://pith.science/pith/UUUI6IEDC6GBKG6HKLXEBSJNWI/bundle.json","state":"https://pith.science/pith/UUUI6IEDC6GBKG6HKLXEBSJNWI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UUUI6IEDC6GBKG6HKLXEBSJNWI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:UUUI6IEDC6GBKG6HKLXEBSJNWI","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":"ba5926eaef171f33b18db16d63d0d15847c7eaa7f06382d8e4b7c732e40424d3","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-02-26T14:13:24Z","title_canon_sha256":"b1283f6b063f8359d3d2c36a235767c3a73f842fdb736b0f387736ef035bfcb3"},"schema_version":"1.0","source":{"id":"1902.09945","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.09945","created_at":"2026-05-17T23:52:34Z"},{"alias_kind":"arxiv_version","alias_value":"1902.09945v1","created_at":"2026-05-17T23:52:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.09945","created_at":"2026-05-17T23:52:34Z"},{"alias_kind":"pith_short_12","alias_value":"UUUI6IEDC6GB","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UUUI6IEDC6GBKG6H","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UUUI6IED","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:104457cd99e6eb8c977449e3291318c0eb265bd67273ef2d3051ec16e10cdde1","target":"graph","created_at":"2026-05-17T23:52:34Z","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 carry out some algebraic and analytic properties of a new class of orthogonal polyanalytic polynomials, including their operational formulas, recurrence relations, generating functions, integral representations and different orthogonality identities. We establish their connection and rule in describing the $L^2$--spectral theory of some special second order differential operators of Laplacian type acting on the $L^2$--gaussian Hilbert space on the whole complex plane. We will also show their importance in the theory of the so-called rank--one automorphic functions on the complex plane. In f","authors_text":"Abdelhadi Benahmadi, Allal Ghanmi","cross_cats":["math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-02-26T14:13:24Z","title":"On a novel class of polyanalytic Hermite polynomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.09945","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:fdb228a28e086d45800d828e791e6d1fc221333d6b1e06b896630d9f8eafa3a4","target":"record","created_at":"2026-05-17T23:52:34Z","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":"ba5926eaef171f33b18db16d63d0d15847c7eaa7f06382d8e4b7c732e40424d3","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2019-02-26T14:13:24Z","title_canon_sha256":"b1283f6b063f8359d3d2c36a235767c3a73f842fdb736b0f387736ef035bfcb3"},"schema_version":"1.0","source":{"id":"1902.09945","kind":"arxiv","version":1}},"canonical_sha256":"a5288f2083178c151bc752ee40c92db225173c41946078d713c85ac805638819","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a5288f2083178c151bc752ee40c92db225173c41946078d713c85ac805638819","first_computed_at":"2026-05-17T23:52:34.993933Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:52:34.993933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7bGGphIJJr1UTMRk4Vpe+bvefD6J2l9k3AmkGmEVMqIpFWmbWZlkdf3HStzrrh5pJFRlKMaqkh3QLIQS8sAFBg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:52:34.994546Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.09945","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fdb228a28e086d45800d828e791e6d1fc221333d6b1e06b896630d9f8eafa3a4","sha256:104457cd99e6eb8c977449e3291318c0eb265bd67273ef2d3051ec16e10cdde1"],"state_sha256":"cc6064f60177fb3b0477d8291805f3b14e46aec81cb003eb53e2bf037b7515f1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KmdafgKjimYUfYX/e0QqbDdNcJ6gxXACVorneEj9ra47fISvUObzuIA7tPc8xKsDbVqHFBBbEcSYkb2HVm8YAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T12:24:24.037499Z","bundle_sha256":"fc85eedf79971a95d682f0c9585bc1c4f1a7b6b9c785d74760cba96246a71490"}}