{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3WQLYHO26HSIDRET5VOACQEPZ3","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":"03608a4d638affaa7d0b9c6e713eca5b2ae9eeaaa7d2a8b4f162bf955ed91f22","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-04-17T14:47:54Z","title_canon_sha256":"bde701f13585574ebd3ac4200aac8fb883f8027a9a9c1792e197e6ad5fdcfa97"},"schema_version":"1.0","source":{"id":"1504.04518","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.04518","created_at":"2026-05-18T02:18:32Z"},{"alias_kind":"arxiv_version","alias_value":"1504.04518v1","created_at":"2026-05-18T02:18:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.04518","created_at":"2026-05-18T02:18:32Z"},{"alias_kind":"pith_short_12","alias_value":"3WQLYHO26HSI","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3WQLYHO26HSIDRET","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3WQLYHO2","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:055009a3fc8207b76bc55d811b011ca5ddc55c6fb0d20104b0bab4fc463b9217","target":"graph","created_at":"2026-05-18T02:18:32Z","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 obtain results on the existence of complex discs in plurisubharmonically convex hulls of Lagrangian and totally real immersions to Stein manifolds.","authors_text":"Alexandre Sukhov, Rasul Shafikov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-04-17T14:47:54Z","title":"Discs in hulls of real immersions to Stein manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.04518","kind":"arxiv","version":1},"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":"sha256:5b785096637f72f308f788723c330d919ef81e128ee113308f1df2fa17b48c20","target":"record","created_at":"2026-05-18T02:18:32Z","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":"03608a4d638affaa7d0b9c6e713eca5b2ae9eeaaa7d2a8b4f162bf955ed91f22","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2015-04-17T14:47:54Z","title_canon_sha256":"bde701f13585574ebd3ac4200aac8fb883f8027a9a9c1792e197e6ad5fdcfa97"},"schema_version":"1.0","source":{"id":"1504.04518","kind":"arxiv","version":1}},"canonical_sha256":"dda0bc1ddaf1e481c493ed5c01408fcee6105835e174abb4ee07917a858e7db3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dda0bc1ddaf1e481c493ed5c01408fcee6105835e174abb4ee07917a858e7db3","first_computed_at":"2026-05-18T02:18:32.203963Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:18:32.203963Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JQNeoJ85mwgTnROhg4/O1Es10bFFpG8BDsvAMGXwXyVwri5eUy84iY/EAmMyAH+4eMwBj49l+Owvwo4xWvxjDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:18:32.204437Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.04518","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5b785096637f72f308f788723c330d919ef81e128ee113308f1df2fa17b48c20","sha256:055009a3fc8207b76bc55d811b011ca5ddc55c6fb0d20104b0bab4fc463b9217"],"state_sha256":"808f5d67516f5ac854a089f2cc74ca2f95a3263d8f5131519359a22b122f23ef"}