{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:YF7GNWFOHBFOUDJZCBBK467HJ5","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":"b6a416fa0fe135f0632ebd01c2da6f27f72e196505c3a224f60a01d2307b1b55","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-10T09:29:32Z","title_canon_sha256":"3b1a86d2e9df3864317cbc8516f098558d86e4a0a3a5dbffdcf989193cdf8980"},"schema_version":"1.0","source":{"id":"1702.03111","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.03111","created_at":"2026-05-18T00:21:14Z"},{"alias_kind":"arxiv_version","alias_value":"1702.03111v1","created_at":"2026-05-18T00:21:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.03111","created_at":"2026-05-18T00:21:14Z"},{"alias_kind":"pith_short_12","alias_value":"YF7GNWFOHBFO","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_16","alias_value":"YF7GNWFOHBFOUDJZ","created_at":"2026-05-18T12:31:56Z"},{"alias_kind":"pith_short_8","alias_value":"YF7GNWFO","created_at":"2026-05-18T12:31:56Z"}],"graph_snapshots":[{"event_id":"sha256:1c0b1707d1966944eb047d9fa8be153b1a52af413c00c85c2e4d88c095c1b288","target":"graph","created_at":"2026-05-18T00:21:14Z","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 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.","authors_text":"Marco Cappiello, Patrik Wahlberg, Ren\\'e Schulz","cross_cats":["math.AP","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-10T09:29:32Z","title":"Conormal distributions in the Shubin calculus of pseudodifferential operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.03111","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":"sha256:67f5f6b691018105901e7fd899e4858c02f9c4a5d618cf5dc4effadfebed9704","target":"record","created_at":"2026-05-18T00:21:14Z","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":"b6a416fa0fe135f0632ebd01c2da6f27f72e196505c3a224f60a01d2307b1b55","cross_cats_sorted":["math.AP","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2017-02-10T09:29:32Z","title_canon_sha256":"3b1a86d2e9df3864317cbc8516f098558d86e4a0a3a5dbffdcf989193cdf8980"},"schema_version":"1.0","source":{"id":"1702.03111","kind":"arxiv","version":1}},"canonical_sha256":"c17e66d8ae384aea0d391042ae7be74f44355c74b0e6af995bb692ae669cc54d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c17e66d8ae384aea0d391042ae7be74f44355c74b0e6af995bb692ae669cc54d","first_computed_at":"2026-05-18T00:21:14.639086Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:14.639086Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Tof/RXMw/c5HHmYk2Mf7kiOZRw9wxaDl/mumN4r+iy824VABd4sNaO5tw4LqX0e4tSkn4/RsbJ+eyhJaXHDKCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:14.639466Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.03111","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67f5f6b691018105901e7fd899e4858c02f9c4a5d618cf5dc4effadfebed9704","sha256:1c0b1707d1966944eb047d9fa8be153b1a52af413c00c85c2e4d88c095c1b288"],"state_sha256":"aab1de585defa1375585bc5117f4e3672a24d2cebbe15b683171ddb883d01372"}