{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:VA2YDUGRLUOOV6BZJILHXAKZBM","short_pith_number":"pith:VA2YDUGR","schema_version":"1.0","canonical_sha256":"a83581d0d15d1ceaf8394a167b81590b25b18d5d037c21109ed228b1d1c77337","source":{"kind":"arxiv","id":"1701.08955","version":1},"attestation_state":"computed","paper":{"title":"Microlocal analysis and beyond","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Pierre Schapira","submitted_at":"2017-01-31T09:22:04Z","abstract_excerpt":"We shall explain how the idea of microlocal analysis of the seventies has been reformulated in the framework of sheaf theory in the eighties and then applied to various branches of mathematics, such as linear partial differential equations or symplectic topology."},"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":"1701.08955","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-01-31T09:22:04Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"4f8bba77b148df04a94f223ec95341a19f4a860410b3ef675c2ec92249bb5e5e","abstract_canon_sha256":"d4b5f0cf20ecec1f1975440797577ff60ca82a0e37466c4c5013f30f71574f32"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:38.805895Z","signature_b64":"4wIbSESigqkHPVfi5wYCa6ccgOaDNurCOf9mKtLi8uQN6aamiLCSpMe6UMT+sa9cHFaQl5dMTLEqICzoQPU+CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a83581d0d15d1ceaf8394a167b81590b25b18d5d037c21109ed228b1d1c77337","last_reissued_at":"2026-05-18T00:51:38.805518Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:38.805518Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Microlocal analysis and beyond","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Pierre Schapira","submitted_at":"2017-01-31T09:22:04Z","abstract_excerpt":"We shall explain how the idea of microlocal analysis of the seventies has been reformulated in the framework of sheaf theory in the eighties and then applied to various branches of mathematics, such as linear partial differential equations or symplectic topology."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.08955","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":"1701.08955","created_at":"2026-05-18T00:51:38.805580+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.08955v1","created_at":"2026-05-18T00:51:38.805580+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.08955","created_at":"2026-05-18T00:51:38.805580+00:00"},{"alias_kind":"pith_short_12","alias_value":"VA2YDUGRLUOO","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_16","alias_value":"VA2YDUGRLUOOV6BZ","created_at":"2026-05-18T12:31:49.984773+00:00"},{"alias_kind":"pith_short_8","alias_value":"VA2YDUGR","created_at":"2026-05-18T12:31:49.984773+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/VA2YDUGRLUOOV6BZJILHXAKZBM","json":"https://pith.science/pith/VA2YDUGRLUOOV6BZJILHXAKZBM.json","graph_json":"https://pith.science/api/pith-number/VA2YDUGRLUOOV6BZJILHXAKZBM/graph.json","events_json":"https://pith.science/api/pith-number/VA2YDUGRLUOOV6BZJILHXAKZBM/events.json","paper":"https://pith.science/paper/VA2YDUGR"},"agent_actions":{"view_html":"https://pith.science/pith/VA2YDUGRLUOOV6BZJILHXAKZBM","download_json":"https://pith.science/pith/VA2YDUGRLUOOV6BZJILHXAKZBM.json","view_paper":"https://pith.science/paper/VA2YDUGR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.08955&json=true","fetch_graph":"https://pith.science/api/pith-number/VA2YDUGRLUOOV6BZJILHXAKZBM/graph.json","fetch_events":"https://pith.science/api/pith-number/VA2YDUGRLUOOV6BZJILHXAKZBM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VA2YDUGRLUOOV6BZJILHXAKZBM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VA2YDUGRLUOOV6BZJILHXAKZBM/action/storage_attestation","attest_author":"https://pith.science/pith/VA2YDUGRLUOOV6BZJILHXAKZBM/action/author_attestation","sign_citation":"https://pith.science/pith/VA2YDUGRLUOOV6BZJILHXAKZBM/action/citation_signature","submit_replication":"https://pith.science/pith/VA2YDUGRLUOOV6BZJILHXAKZBM/action/replication_record"}},"created_at":"2026-05-18T00:51:38.805580+00:00","updated_at":"2026-05-18T00:51:38.805580+00:00"}