{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:XEE3EP2ILZTNOD3TWWURQILWCI","short_pith_number":"pith:XEE3EP2I","canonical_record":{"source":{"id":"math/0506064","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2005-06-03T13:23:44Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"21ecc74927982c28665e4d81885cf3be70ad28529c95551c0c5fa1513d840e69","abstract_canon_sha256":"93940b25e6c0bb9b8c2459db7ce5029019924609d69cd26e6760c6daf92ec813"},"schema_version":"1.0"},"canonical_sha256":"b909b23f485e66d70f73b5a9182176122e092b4bd0893ee742c1c9d7b2e97999","source":{"kind":"arxiv","id":"math/0506064","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0506064","created_at":"2026-05-18T02:16:11Z"},{"alias_kind":"arxiv_version","alias_value":"math/0506064v2","created_at":"2026-05-18T02:16:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0506064","created_at":"2026-05-18T02:16:11Z"},{"alias_kind":"pith_short_12","alias_value":"XEE3EP2ILZTN","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"XEE3EP2ILZTNOD3T","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"XEE3EP2I","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:XEE3EP2ILZTNOD3TWWURQILWCI","target":"record","payload":{"canonical_record":{"source":{"id":"math/0506064","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2005-06-03T13:23:44Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"21ecc74927982c28665e4d81885cf3be70ad28529c95551c0c5fa1513d840e69","abstract_canon_sha256":"93940b25e6c0bb9b8c2459db7ce5029019924609d69cd26e6760c6daf92ec813"},"schema_version":"1.0"},"canonical_sha256":"b909b23f485e66d70f73b5a9182176122e092b4bd0893ee742c1c9d7b2e97999","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:11.577698Z","signature_b64":"OInJJok5qGEFmMAzsEjVH8/G91pT/sidod1C17a2q/ZxntIbHxrO3WlERAkESY4BpzYTuPWOPnz5Ffv+Lwv2DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b909b23f485e66d70f73b5a9182176122e092b4bd0893ee742c1c9d7b2e97999","last_reissued_at":"2026-05-18T02:16:11.576979Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:11.576979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0506064","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:16:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+ghTnPqcXU1mHNulY+w8P7AmANE5Oj4HjrsYgAA6oJpiKMyGCqksM8bJ9h9ryI5cLWm0ru9vsKoF4V6JCo0nAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T09:25:06.343494Z"},"content_sha256":"4cc705ef74588691452706e1e24c177b74b91121ba9400f4798fcb74be537353","schema_version":"1.0","event_id":"sha256:4cc705ef74588691452706e1e24c177b74b91121ba9400f4798fcb74be537353"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:XEE3EP2ILZTNOD3TWWURQILWCI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantization of complex Lagrangian submanifolds","license":"","headline":"","cross_cats":["math.AP"],"primary_cat":"math.AG","authors_text":"Andrea D'Agnolo, Pierre Schapira","submitted_at":"2005-06-03T13:23:44Z","abstract_excerpt":"Let $\\Lambda$ be a smooth Lagrangian submanifold of a complex symplectic manifold $X$. We construct twisted simple holonomic modules along $\\Lambda$ in the stack of deformation-quantization modules on $X$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0506064","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:16:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Md0Xj5kMPCLhGvGVv2yNkapHAmWy9jhQRg4iPGtqmHmBPQ4AZkzYzR1GHkOtIXYSPzveZ316lM62JjJGKa3LAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T09:25:06.343836Z"},"content_sha256":"ebb91e4df6b72d1da7029afe812c9d4a2f1c568c0f0695622a73b2b6428c4cbb","schema_version":"1.0","event_id":"sha256:ebb91e4df6b72d1da7029afe812c9d4a2f1c568c0f0695622a73b2b6428c4cbb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XEE3EP2ILZTNOD3TWWURQILWCI/bundle.json","state_url":"https://pith.science/pith/XEE3EP2ILZTNOD3TWWURQILWCI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XEE3EP2ILZTNOD3TWWURQILWCI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T09:25:06Z","links":{"resolver":"https://pith.science/pith/XEE3EP2ILZTNOD3TWWURQILWCI","bundle":"https://pith.science/pith/XEE3EP2ILZTNOD3TWWURQILWCI/bundle.json","state":"https://pith.science/pith/XEE3EP2ILZTNOD3TWWURQILWCI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XEE3EP2ILZTNOD3TWWURQILWCI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:XEE3EP2ILZTNOD3TWWURQILWCI","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":"93940b25e6c0bb9b8c2459db7ce5029019924609d69cd26e6760c6daf92ec813","cross_cats_sorted":["math.AP"],"license":"","primary_cat":"math.AG","submitted_at":"2005-06-03T13:23:44Z","title_canon_sha256":"21ecc74927982c28665e4d81885cf3be70ad28529c95551c0c5fa1513d840e69"},"schema_version":"1.0","source":{"id":"math/0506064","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0506064","created_at":"2026-05-18T02:16:11Z"},{"alias_kind":"arxiv_version","alias_value":"math/0506064v2","created_at":"2026-05-18T02:16:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0506064","created_at":"2026-05-18T02:16:11Z"},{"alias_kind":"pith_short_12","alias_value":"XEE3EP2ILZTN","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"XEE3EP2ILZTNOD3T","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"XEE3EP2I","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:ebb91e4df6b72d1da7029afe812c9d4a2f1c568c0f0695622a73b2b6428c4cbb","target":"graph","created_at":"2026-05-18T02:16:11Z","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":"Let $\\Lambda$ be a smooth Lagrangian submanifold of a complex symplectic manifold $X$. We construct twisted simple holonomic modules along $\\Lambda$ in the stack of deformation-quantization modules on $X$.","authors_text":"Andrea D'Agnolo, Pierre Schapira","cross_cats":["math.AP"],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2005-06-03T13:23:44Z","title":"Quantization of complex Lagrangian submanifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0506064","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":"sha256:4cc705ef74588691452706e1e24c177b74b91121ba9400f4798fcb74be537353","target":"record","created_at":"2026-05-18T02:16:11Z","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":"93940b25e6c0bb9b8c2459db7ce5029019924609d69cd26e6760c6daf92ec813","cross_cats_sorted":["math.AP"],"license":"","primary_cat":"math.AG","submitted_at":"2005-06-03T13:23:44Z","title_canon_sha256":"21ecc74927982c28665e4d81885cf3be70ad28529c95551c0c5fa1513d840e69"},"schema_version":"1.0","source":{"id":"math/0506064","kind":"arxiv","version":2}},"canonical_sha256":"b909b23f485e66d70f73b5a9182176122e092b4bd0893ee742c1c9d7b2e97999","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b909b23f485e66d70f73b5a9182176122e092b4bd0893ee742c1c9d7b2e97999","first_computed_at":"2026-05-18T02:16:11.576979Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:16:11.576979Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OInJJok5qGEFmMAzsEjVH8/G91pT/sidod1C17a2q/ZxntIbHxrO3WlERAkESY4BpzYTuPWOPnz5Ffv+Lwv2DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:16:11.577698Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0506064","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4cc705ef74588691452706e1e24c177b74b91121ba9400f4798fcb74be537353","sha256:ebb91e4df6b72d1da7029afe812c9d4a2f1c568c0f0695622a73b2b6428c4cbb"],"state_sha256":"063b218607e44c6d1f9abadb1f1249dec12bc8ca6da5ee4fda1283c83e3fd18b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5XEUH/GBfF2NhmhaINDt7BQHbEaqNvv66rJFk/XESz8V3PXdQUuxAc8NoC9mNuilZ/cMf2mXuKR0QRTkPIekAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T09:25:06.345858Z","bundle_sha256":"230c4d73351b3c48446e729986a7b8c6969c15016b62470b37ed262e37018a7f"}}