{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:3ST6QVJNRTWWM5WTB3EVQKT5LQ","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":"10213a2ddba1d101a61bdf216b3c277f13674a25c696747c88128eeeda9612ad","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-06-14T10:30:30Z","title_canon_sha256":"9ca579f9b3e0c44be9187daa867b16bd9a25ad4d8a89dd4aecdec837aaef2759"},"schema_version":"1.0","source":{"id":"1306.3356","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.3356","created_at":"2026-05-18T02:57:35Z"},{"alias_kind":"arxiv_version","alias_value":"1306.3356v3","created_at":"2026-05-18T02:57:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.3356","created_at":"2026-05-18T02:57:35Z"},{"alias_kind":"pith_short_12","alias_value":"3ST6QVJNRTWW","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"3ST6QVJNRTWWM5WT","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"3ST6QVJN","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:7f44e2a9ca61f28481691f181ffb2aed5191251a084a92683c8c1fcf9f0eb057","target":"graph","created_at":"2026-05-18T02:57:35Z","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 study the microlocal properties of bisingular operators, a class of operators on the product of two compact manifolds. We define a wave front set for such operators, and analyse its properties. We compare our wave front set with the $SG$ wave front set, a global wave front set which shares with it formal similarities.","authors_text":"M. Borsero, R. Schulz","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-06-14T10:30:30Z","title":"Microlocal Properties of Bisingular Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.3356","kind":"arxiv","version":3},"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":"sha256:2144af23f936c43ae64c158dbd07ed30f2815c3fa4c5d14c84bd5a51a296c9f3","target":"record","created_at":"2026-05-18T02:57:35Z","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":"10213a2ddba1d101a61bdf216b3c277f13674a25c696747c88128eeeda9612ad","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2013-06-14T10:30:30Z","title_canon_sha256":"9ca579f9b3e0c44be9187daa867b16bd9a25ad4d8a89dd4aecdec837aaef2759"},"schema_version":"1.0","source":{"id":"1306.3356","kind":"arxiv","version":3}},"canonical_sha256":"dca7e8552d8ced6676d30ec9582a7d5c3f58e774c737f9147bf6c73c5e2df848","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dca7e8552d8ced6676d30ec9582a7d5c3f58e774c737f9147bf6c73c5e2df848","first_computed_at":"2026-05-18T02:57:35.887330Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:35.887330Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/2cC9j3Mxj09AtGa2XlDcET1SPKUAJzFtCBMWm4bGQfV39u8DvZ45tLli5PPX+gfMMaPdz/Vbw/tgsqk/zA0DA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:35.888021Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.3356","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2144af23f936c43ae64c158dbd07ed30f2815c3fa4c5d14c84bd5a51a296c9f3","sha256:7f44e2a9ca61f28481691f181ffb2aed5191251a084a92683c8c1fcf9f0eb057"],"state_sha256":"da85716f333010e0aac436df98e51addc9856ef9582b3af8c808f10720eff33d"}