{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:Y5OVDBYDTM7DQ7BFQKRDYW4EX5","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":"aeeff4471ebb7cb8eef30bb15af7f2e882e0a3f9470844754280af212120d342","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-03-01T06:19:54Z","title_canon_sha256":"ec5c90a54e8f5d76b3dfcbf68f7fb717463faf049b63c6f61982c3adf31642ff"},"schema_version":"1.0","source":{"id":"1803.00903","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.00903","created_at":"2026-05-18T00:22:07Z"},{"alias_kind":"arxiv_version","alias_value":"1803.00903v1","created_at":"2026-05-18T00:22:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.00903","created_at":"2026-05-18T00:22:07Z"},{"alias_kind":"pith_short_12","alias_value":"Y5OVDBYDTM7D","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_16","alias_value":"Y5OVDBYDTM7DQ7BF","created_at":"2026-05-18T12:33:04Z"},{"alias_kind":"pith_short_8","alias_value":"Y5OVDBYD","created_at":"2026-05-18T12:33:04Z"}],"graph_snapshots":[{"event_id":"sha256:e729ba2b1f496f99c5a5c763fa53ec35cb48e70e5390d2451b9e81d851e81b61","target":"graph","created_at":"2026-05-18T00:22:07Z","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 study pseudo-multipliers associated to the harmonic oscillator (also called Hermite multipliers) belonging to the ideal of $r$-nuclear operators on Lebesgue spaces.","authors_text":"Duv\\'an Cardona, Edgardo Barraza","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-03-01T06:19:54Z","title":"Characterization of nuclear pseudo-multipliers associated to the harmonic oscillator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.00903","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":"sha256:8dadd6bac666a5af9693a37f5dbd324e2d9d9febc923e2e4074852178566451e","target":"record","created_at":"2026-05-18T00:22:07Z","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":"aeeff4471ebb7cb8eef30bb15af7f2e882e0a3f9470844754280af212120d342","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-03-01T06:19:54Z","title_canon_sha256":"ec5c90a54e8f5d76b3dfcbf68f7fb717463faf049b63c6f61982c3adf31642ff"},"schema_version":"1.0","source":{"id":"1803.00903","kind":"arxiv","version":1}},"canonical_sha256":"c75d5187039b3e387c2582a23c5b84bf43134f676f06ac3241daa40c67e196f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c75d5187039b3e387c2582a23c5b84bf43134f676f06ac3241daa40c67e196f0","first_computed_at":"2026-05-18T00:22:07.507538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:07.507538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MdA2a1kXVq8t30sHLcLv5hexD/H8pf4i14DkxOQatohuSENMG2p3TK7oKFsAntLadyqND3v6G8cDZ1T9kZmOBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:07.508189Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.00903","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8dadd6bac666a5af9693a37f5dbd324e2d9d9febc923e2e4074852178566451e","sha256:e729ba2b1f496f99c5a5c763fa53ec35cb48e70e5390d2451b9e81d851e81b61"],"state_sha256":"ddd989f3c4bcdf2aba49d5729ff3ee846f3117378a3ee59e91505681d3d9a321"}