{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:5BEK3TU3GJLRZAZJUCP2EDYX6Q","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":"50061081559d86975a055b0c046e535e8a602448bf7889bcf92a2fe58f21c452","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2017-12-18T15:06:15Z","title_canon_sha256":"89190d0cd79ee24a14f0a17d6ffdbb66b0ca6d3b7497f5160fb33ac2f5ef2f17"},"schema_version":"1.0","source":{"id":"1712.06453","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1712.06453","created_at":"2026-05-18T00:11:28Z"},{"alias_kind":"arxiv_version","alias_value":"1712.06453v2","created_at":"2026-05-18T00:11:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.06453","created_at":"2026-05-18T00:11:28Z"},{"alias_kind":"pith_short_12","alias_value":"5BEK3TU3GJLR","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"5BEK3TU3GJLRZAZJ","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"5BEK3TU3","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:7b675517835a362b1991a51bf2e586b67cef02baf9eb3d746993629ab4fea4d4","target":"graph","created_at":"2026-05-18T00:11:28Z","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 define the Radon transform functor for sheaves and prove that it is an equivalence after suitable microlocal localizations. As a result, the sheaf category associated to a Legendrian is invariant under the Radon transform. We also manage to place the Radon transform and other transforms in microlocal sheaf theory altogether in a diagram.","authors_text":"Honghao Gao","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2017-12-18T15:06:15Z","title":"Radon Transform for Sheaves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.06453","kind":"arxiv","version":2},"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":"sha256:4d8a9ba7eed133dc46724a4792aef24e9dc879f989bcdf0bc72c055c1cfc6428","target":"record","created_at":"2026-05-18T00:11:28Z","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":"50061081559d86975a055b0c046e535e8a602448bf7889bcf92a2fe58f21c452","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2017-12-18T15:06:15Z","title_canon_sha256":"89190d0cd79ee24a14f0a17d6ffdbb66b0ca6d3b7497f5160fb33ac2f5ef2f17"},"schema_version":"1.0","source":{"id":"1712.06453","kind":"arxiv","version":2}},"canonical_sha256":"e848adce9b32571c8329a09fa20f17f40d2e0e9be2bdd7f553c66082a399b950","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e848adce9b32571c8329a09fa20f17f40d2e0e9be2bdd7f553c66082a399b950","first_computed_at":"2026-05-18T00:11:28.116826Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:28.116826Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DxAwGOBrPYIH6NN4ggFF9COpzzOx+0EFT/l/8KOVmCe+hBoBPOPMWq8Uy6fQbrRJgYl0lNTyusXuwOnHa+cLDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:28.117241Z","signed_message":"canonical_sha256_bytes"},"source_id":"1712.06453","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d8a9ba7eed133dc46724a4792aef24e9dc879f989bcdf0bc72c055c1cfc6428","sha256:7b675517835a362b1991a51bf2e586b67cef02baf9eb3d746993629ab4fea4d4"],"state_sha256":"d898023239ee3fae8d7d1bd3c947920dbfcd2a6b795cbc3ba1ee177920a28af0"}