{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:3SW7WTGN4DVBZ4T6IYGT535WSP","short_pith_number":"pith:3SW7WTGN","schema_version":"1.0","canonical_sha256":"dcadfb4ccde0ea1cf27e460d3eefb693f8ad7db1036ef7a90feac17645becc74","source":{"kind":"arxiv","id":"1507.02567","version":1},"attestation_state":"computed","paper":{"title":"Beals characterization of pseudodifferential operators in Wiener spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"J. Nourrigat, L. Amour, R. Lascar","submitted_at":"2015-07-09T15:53:29Z","abstract_excerpt":"The aim of this article is to prove a Beals type characterization theorem for pseudodifferential operators in Wiener spaces. The definition of pseudodifferential operators in Wiener spaces and a Calder\\'on-Vaillancourt type result appear in [1]. The set of symbols considered here is the one of [1]. The Weyl calculus in infinite dimension considered here emphasizes the role of the Wick bi-symbols."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1507.02567","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2015-07-09T15:53:29Z","cross_cats_sorted":[],"title_canon_sha256":"c18d0f242b378eebf25f0260d90ac96430f5b46dcece53483a0d72b0a959f617","abstract_canon_sha256":"c04a3d20f78c23946b06d6cdcd5f85f983d417e0580ce1a09d222d964e919952"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:37:06.352178Z","signature_b64":"ZRQnW3mxuA0aoR9WtO7NFfcY8E6CazLKcj5DLamelMgNT0gG3651xo/F2XMCE1Se6idEVEhK4UziUCeWXxPwCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dcadfb4ccde0ea1cf27e460d3eefb693f8ad7db1036ef7a90feac17645becc74","last_reissued_at":"2026-05-18T01:37:06.351370Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:37:06.351370Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Beals characterization of pseudodifferential operators in Wiener spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"J. Nourrigat, L. Amour, R. Lascar","submitted_at":"2015-07-09T15:53:29Z","abstract_excerpt":"The aim of this article is to prove a Beals type characterization theorem for pseudodifferential operators in Wiener spaces. The definition of pseudodifferential operators in Wiener spaces and a Calder\\'on-Vaillancourt type result appear in [1]. The set of symbols considered here is the one of [1]. The Weyl calculus in infinite dimension considered here emphasizes the role of the Wick bi-symbols."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.02567","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1507.02567","created_at":"2026-05-18T01:37:06.351477+00:00"},{"alias_kind":"arxiv_version","alias_value":"1507.02567v1","created_at":"2026-05-18T01:37:06.351477+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.02567","created_at":"2026-05-18T01:37:06.351477+00:00"},{"alias_kind":"pith_short_12","alias_value":"3SW7WTGN4DVB","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_16","alias_value":"3SW7WTGN4DVBZ4T6","created_at":"2026-05-18T12:29:02.477457+00:00"},{"alias_kind":"pith_short_8","alias_value":"3SW7WTGN","created_at":"2026-05-18T12:29:02.477457+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3SW7WTGN4DVBZ4T6IYGT535WSP","json":"https://pith.science/pith/3SW7WTGN4DVBZ4T6IYGT535WSP.json","graph_json":"https://pith.science/api/pith-number/3SW7WTGN4DVBZ4T6IYGT535WSP/graph.json","events_json":"https://pith.science/api/pith-number/3SW7WTGN4DVBZ4T6IYGT535WSP/events.json","paper":"https://pith.science/paper/3SW7WTGN"},"agent_actions":{"view_html":"https://pith.science/pith/3SW7WTGN4DVBZ4T6IYGT535WSP","download_json":"https://pith.science/pith/3SW7WTGN4DVBZ4T6IYGT535WSP.json","view_paper":"https://pith.science/paper/3SW7WTGN","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1507.02567&json=true","fetch_graph":"https://pith.science/api/pith-number/3SW7WTGN4DVBZ4T6IYGT535WSP/graph.json","fetch_events":"https://pith.science/api/pith-number/3SW7WTGN4DVBZ4T6IYGT535WSP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3SW7WTGN4DVBZ4T6IYGT535WSP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3SW7WTGN4DVBZ4T6IYGT535WSP/action/storage_attestation","attest_author":"https://pith.science/pith/3SW7WTGN4DVBZ4T6IYGT535WSP/action/author_attestation","sign_citation":"https://pith.science/pith/3SW7WTGN4DVBZ4T6IYGT535WSP/action/citation_signature","submit_replication":"https://pith.science/pith/3SW7WTGN4DVBZ4T6IYGT535WSP/action/replication_record"}},"created_at":"2026-05-18T01:37:06.351477+00:00","updated_at":"2026-05-18T01:37:06.351477+00:00"}