{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:YF7GNWFOHBFOUDJZCBBK467HJ5","short_pith_number":"pith:YF7GNWFO","schema_version":"1.0","canonical_sha256":"c17e66d8ae384aea0d391042ae7be74f44355c74b0e6af995bb692ae669cc54d","source":{"kind":"arxiv","id":"1702.03111","version":1},"attestation_state":"computed","paper":{"title":"Conormal distributions in the Shubin calculus of pseudodifferential operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Marco Cappiello, Patrik Wahlberg, Ren\\'e Schulz","submitted_at":"2017-02-10T09:29:32Z","abstract_excerpt":"We characterize the Schwartz kernels of pseudodifferential operators of Shubin type by means of an FBI transform. Based on this we introduce as a generalization a new class of tempered distributions called Shubin conormal distributions. We study their transformation behavior, normal forms and microlocal properties."},"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":"1702.03111","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-10T09:29:32Z","cross_cats_sorted":["math.AP","math.MP"],"title_canon_sha256":"3b1a86d2e9df3864317cbc8516f098558d86e4a0a3a5dbffdcf989193cdf8980","abstract_canon_sha256":"b6a416fa0fe135f0632ebd01c2da6f27f72e196505c3a224f60a01d2307b1b55"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:14.639466Z","signature_b64":"Tof/RXMw/c5HHmYk2Mf7kiOZRw9wxaDl/mumN4r+iy824VABd4sNaO5tw4LqX0e4tSkn4/RsbJ+eyhJaXHDKCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c17e66d8ae384aea0d391042ae7be74f44355c74b0e6af995bb692ae669cc54d","last_reissued_at":"2026-05-18T00:21:14.639086Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:14.639086Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conormal distributions in the Shubin calculus of pseudodifferential operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP","math.MP"],"primary_cat":"math-ph","authors_text":"Marco Cappiello, Patrik Wahlberg, Ren\\'e Schulz","submitted_at":"2017-02-10T09:29:32Z","abstract_excerpt":"We characterize the Schwartz kernels of pseudodifferential operators of Shubin type by means of an FBI transform. Based on this we introduce as a generalization a new class of tempered distributions called Shubin conormal distributions. We study their transformation behavior, normal forms and microlocal properties."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03111","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":"1702.03111","created_at":"2026-05-18T00:21:14.639151+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.03111v1","created_at":"2026-05-18T00:21:14.639151+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03111","created_at":"2026-05-18T00:21:14.639151+00:00"},{"alias_kind":"pith_short_12","alias_value":"YF7GNWFOHBFO","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_16","alias_value":"YF7GNWFOHBFOUDJZ","created_at":"2026-05-18T12:31:56.362134+00:00"},{"alias_kind":"pith_short_8","alias_value":"YF7GNWFO","created_at":"2026-05-18T12:31:56.362134+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/YF7GNWFOHBFOUDJZCBBK467HJ5","json":"https://pith.science/pith/YF7GNWFOHBFOUDJZCBBK467HJ5.json","graph_json":"https://pith.science/api/pith-number/YF7GNWFOHBFOUDJZCBBK467HJ5/graph.json","events_json":"https://pith.science/api/pith-number/YF7GNWFOHBFOUDJZCBBK467HJ5/events.json","paper":"https://pith.science/paper/YF7GNWFO"},"agent_actions":{"view_html":"https://pith.science/pith/YF7GNWFOHBFOUDJZCBBK467HJ5","download_json":"https://pith.science/pith/YF7GNWFOHBFOUDJZCBBK467HJ5.json","view_paper":"https://pith.science/paper/YF7GNWFO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.03111&json=true","fetch_graph":"https://pith.science/api/pith-number/YF7GNWFOHBFOUDJZCBBK467HJ5/graph.json","fetch_events":"https://pith.science/api/pith-number/YF7GNWFOHBFOUDJZCBBK467HJ5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YF7GNWFOHBFOUDJZCBBK467HJ5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YF7GNWFOHBFOUDJZCBBK467HJ5/action/storage_attestation","attest_author":"https://pith.science/pith/YF7GNWFOHBFOUDJZCBBK467HJ5/action/author_attestation","sign_citation":"https://pith.science/pith/YF7GNWFOHBFOUDJZCBBK467HJ5/action/citation_signature","submit_replication":"https://pith.science/pith/YF7GNWFOHBFOUDJZCBBK467HJ5/action/replication_record"}},"created_at":"2026-05-18T00:21:14.639151+00:00","updated_at":"2026-05-18T00:21:14.639151+00:00"}