{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:IYX7LQLMJTW2D3YDC3O37BSZJV","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":"c120177039bcde1c119ec78cbb67961d84ad8172eec630243402f1ab9f30ae68","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2012-02-08T08:06:31Z","title_canon_sha256":"19a683e9bce26be79e531325d99ae83f8c6e76d25c5a6309a037ea33f6b1e9fb"},"schema_version":"1.0","source":{"id":"1202.1619","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.1619","created_at":"2026-05-18T04:02:51Z"},{"alias_kind":"arxiv_version","alias_value":"1202.1619v1","created_at":"2026-05-18T04:02:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.1619","created_at":"2026-05-18T04:02:51Z"},{"alias_kind":"pith_short_12","alias_value":"IYX7LQLMJTW2","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_16","alias_value":"IYX7LQLMJTW2D3YD","created_at":"2026-05-18T12:27:09Z"},{"alias_kind":"pith_short_8","alias_value":"IYX7LQLM","created_at":"2026-05-18T12:27:09Z"}],"graph_snapshots":[{"event_id":"sha256:7e99ebb9e5734928ca0b04336e1dae72775200a27b0a0ef9fc45a7bcd8e9efd7","target":"graph","created_at":"2026-05-18T04:02:51Z","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":"This is the list of open problems in topological algebra posed on the conference dedicated to the 20th anniversary of the Chair of Algebra and Topology of Lviv National University, that was held on 28 September 2001.","authors_text":"Igor Guran, Igor Protasov, Mitrofan Choban, Taras Banakh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2012-02-08T08:06:31Z","title":"Some Open Problems in Topological Algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.1619","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:f58005d137c5d436f40ce0233e4e02b3898cdce64e25ce373b679b760883c907","target":"record","created_at":"2026-05-18T04:02:51Z","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":"c120177039bcde1c119ec78cbb67961d84ad8172eec630243402f1ab9f30ae68","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GN","submitted_at":"2012-02-08T08:06:31Z","title_canon_sha256":"19a683e9bce26be79e531325d99ae83f8c6e76d25c5a6309a037ea33f6b1e9fb"},"schema_version":"1.0","source":{"id":"1202.1619","kind":"arxiv","version":1}},"canonical_sha256":"462ff5c16c4ceda1ef0316ddbf86594d617b24905fdbf3c6d07a02fc3327122c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"462ff5c16c4ceda1ef0316ddbf86594d617b24905fdbf3c6d07a02fc3327122c","first_computed_at":"2026-05-18T04:02:51.814190Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:02:51.814190Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GKvzz3/eExYmnctIU+IJLQ29uIbC98wlMZv39m7gIIKPfXO15a5Q1F+VJByycJvyaF8k/gS3azke4g91z7ExAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:02:51.815170Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.1619","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f58005d137c5d436f40ce0233e4e02b3898cdce64e25ce373b679b760883c907","sha256:7e99ebb9e5734928ca0b04336e1dae72775200a27b0a0ef9fc45a7bcd8e9efd7"],"state_sha256":"7616f8c2b1fa1d25cf17b54c93b1ec49f81a2f245731384abeb184b39547914c"}