{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2003:NOX4FB2O2TPTRWZZRCJWMI5CDI","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":"6ac4c1cbbba8034560748be780907e2bf5e852a1cc55d363d57e54c45bac789a","cross_cats_sorted":[],"license":"","primary_cat":"math.RT","submitted_at":"2003-11-20T00:30:11Z","title_canon_sha256":"1a6dfb50d97813a50b8b88bd829e06bb7c5de1a9e2fbd95c30b8d0e51c3e4c77"},"schema_version":"1.0","source":{"id":"math/0311339","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0311339","created_at":"2026-07-04T14:38:00Z"},{"alias_kind":"arxiv_version","alias_value":"math/0311339v2","created_at":"2026-07-04T14:38:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0311339","created_at":"2026-07-04T14:38:00Z"},{"alias_kind":"pith_short_12","alias_value":"NOX4FB2O2TPT","created_at":"2026-07-04T14:38:00Z"},{"alias_kind":"pith_short_16","alias_value":"NOX4FB2O2TPTRWZZ","created_at":"2026-07-04T14:38:00Z"},{"alias_kind":"pith_short_8","alias_value":"NOX4FB2O","created_at":"2026-07-04T14:38:00Z"}],"graph_snapshots":[{"event_id":"sha256:b46da7aee6f3d2371e7666f633536a7ccd2274e4f8fde81438b95b08f0f35d2b","target":"graph","created_at":"2026-07-04T14:38:00Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/math/0311339/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We describe the Jacquet module functor on Harish-Chandra modules via geometry.","authors_text":"David Nadler, Kari Vilonen, Matthew Emerton","cross_cats":[],"headline":"","license":"","primary_cat":"math.RT","submitted_at":"2003-11-20T00:30:11Z","title":"A geometric Jacquet functor"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0311339","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:c6d4add82d39bbe6d50f1ecb805ee384d5f2c9864c24067481d9e3c755b874d6","target":"record","created_at":"2026-07-04T14:38:00Z","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":"6ac4c1cbbba8034560748be780907e2bf5e852a1cc55d363d57e54c45bac789a","cross_cats_sorted":[],"license":"","primary_cat":"math.RT","submitted_at":"2003-11-20T00:30:11Z","title_canon_sha256":"1a6dfb50d97813a50b8b88bd829e06bb7c5de1a9e2fbd95c30b8d0e51c3e4c77"},"schema_version":"1.0","source":{"id":"math/0311339","kind":"arxiv","version":2}},"canonical_sha256":"6bafc2874ed4df38db3988936623a21a39ad1b828eb6a676bea5dae02e544cf8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6bafc2874ed4df38db3988936623a21a39ad1b828eb6a676bea5dae02e544cf8","first_computed_at":"2026-07-04T14:38:00.665992Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:38:00.665992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qomm+l8oBbSrqHnPdos/frLvUPDWIlY7O2mf3pGLmuK8otAtFtggzbUNM/0OpQiwPypgZ/vg98/TEXRw9q4yAA==","signature_status":"signed_v1","signed_at":"2026-07-04T14:38:00.666428Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0311339","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6d4add82d39bbe6d50f1ecb805ee384d5f2c9864c24067481d9e3c755b874d6","sha256:b46da7aee6f3d2371e7666f633536a7ccd2274e4f8fde81438b95b08f0f35d2b"],"state_sha256":"d553fac581ee530fa6f35c0e2c4dcab643bab1c3cd23014664d6b19eac2d591a"}