{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:BDJ2TTLFN5STSVL5OYRJ52IGDF","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":"a7358c31d7178b548cd2c83767fcad93806c287a2e073e4f51c1eee5a62cdfd8","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2007-08-24T15:16:40Z","title_canon_sha256":"7bfff433366655e8c2e86b0ec547c29a387b19150bae80d87d96770b5d2ebcf1"},"schema_version":"1.0","source":{"id":"0708.3357","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0708.3357","created_at":"2026-05-18T04:11:52Z"},{"alias_kind":"arxiv_version","alias_value":"0708.3357v4","created_at":"2026-05-18T04:11:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.3357","created_at":"2026-05-18T04:11:52Z"},{"alias_kind":"pith_short_12","alias_value":"BDJ2TTLFN5ST","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"BDJ2TTLFN5STSVL5","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"BDJ2TTLF","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:c7d4d0c18c66296c20c39989ea07d3f8380a3f8d765aff66ea79825afc09346d","target":"graph","created_at":"2026-05-18T04:11:52Z","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 characterize the space of the so-called planar mixed automorphic forms of type $(\\nu,\\mu)$ with respect to an equivariant pair $(\\rho,\\tau)$ as the image of the usual automorphic forms by an appropriate transform and we investigate some concrete basic spectral properties of a magnetic Schrodinger operator acting on them. The associated polynomials constitute classes of generalized complex polynomials of Hermite type.","authors_text":"Allal Ghanmi","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2007-08-24T15:16:40Z","title":"On spectral analysis of a magnetic Schrodinger operator on planar mixed automorphic forms"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.3357","kind":"arxiv","version":4},"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":"sha256:34405ad74f6adf88735e24565d4b0246f8c6b0a47535983ba9d3a0d20d5f0b10","target":"record","created_at":"2026-05-18T04:11:52Z","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":"a7358c31d7178b548cd2c83767fcad93806c287a2e073e4f51c1eee5a62cdfd8","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SP","submitted_at":"2007-08-24T15:16:40Z","title_canon_sha256":"7bfff433366655e8c2e86b0ec547c29a387b19150bae80d87d96770b5d2ebcf1"},"schema_version":"1.0","source":{"id":"0708.3357","kind":"arxiv","version":4}},"canonical_sha256":"08d3a9cd656f6539557d76229ee906196680c0c211bb1c961d213423f9c9d210","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"08d3a9cd656f6539557d76229ee906196680c0c211bb1c961d213423f9c9d210","first_computed_at":"2026-05-18T04:11:52.154984Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:11:52.154984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JB/gG/s8imdgGy+6gdWBBTQuJnEyWVasLqgnFhs7QH885lUmFCNuqE4mP7EbSt3hzYcago3uW+PkGy9g3ELtCA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:11:52.155633Z","signed_message":"canonical_sha256_bytes"},"source_id":"0708.3357","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:34405ad74f6adf88735e24565d4b0246f8c6b0a47535983ba9d3a0d20d5f0b10","sha256:c7d4d0c18c66296c20c39989ea07d3f8380a3f8d765aff66ea79825afc09346d"],"state_sha256":"c9ae4c427f23e0f79340f07a56044590739116e0ea7be5260eadd8ff410332b7"}