{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3223RP57I6WAZ5RUT5VE6LMISR","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":"6e8acb81c424a3750f158cd7572a75b95073d4b2989e323ec667e6df9e6e3a37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-06-16T09:04:12Z","title_canon_sha256":"54aa219c017fa9bde9dd6927e168c0918142ece472c8a541545654943d5a6b0a"},"schema_version":"1.0","source":{"id":"1106.3175","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.3175","created_at":"2026-05-18T01:15:15Z"},{"alias_kind":"arxiv_version","alias_value":"1106.3175v2","created_at":"2026-05-18T01:15:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.3175","created_at":"2026-05-18T01:15:15Z"},{"alias_kind":"pith_short_12","alias_value":"3223RP57I6WA","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3223RP57I6WAZ5RU","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3223RP57","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:99cb71b7f16fc226f77361fd4c6756234d16f731ef80d8f87e48c2f54fa5350d","target":"graph","created_at":"2026-05-18T01:15:15Z","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":"In this study, we investigated the (K,H), (K,K_{II}), (H,K_{II})-Weingarten and (K,H),(K,K_{II}),(H,K_{II}) and (K,H,K_{II})-linear Weingarten canal surfaces in IR^3.","authors_text":"Dae Won Yoon, Y{\\i}lmaz Tun\\c{c}er","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-06-16T09:04:12Z","title":"Weingarten and Linear Weingarten Canal Surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.3175","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":"sha256:378f3bfc41a65a7434c6c49e5de3022a1123a8f5b1cb2195a3bfe5d3eafc9350","target":"record","created_at":"2026-05-18T01:15:15Z","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":"6e8acb81c424a3750f158cd7572a75b95073d4b2989e323ec667e6df9e6e3a37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-06-16T09:04:12Z","title_canon_sha256":"54aa219c017fa9bde9dd6927e168c0918142ece472c8a541545654943d5a6b0a"},"schema_version":"1.0","source":{"id":"1106.3175","kind":"arxiv","version":2}},"canonical_sha256":"deb5b8bfbf47ac0cf6349f6a4f2d889475de82ae1aaff1bcd729ec1e9cd2e579","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"deb5b8bfbf47ac0cf6349f6a4f2d889475de82ae1aaff1bcd729ec1e9cd2e579","first_computed_at":"2026-05-18T01:15:15.698849Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:15:15.698849Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0VIGR7U5xvuawGlXlHxTSVzRlc/YErZQsuzFBlbK82IFo2v4NSquwpgIaUXf6+9s5dSsZ0wwtNCGN2IM7x3wCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:15:15.699590Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.3175","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:378f3bfc41a65a7434c6c49e5de3022a1123a8f5b1cb2195a3bfe5d3eafc9350","sha256:99cb71b7f16fc226f77361fd4c6756234d16f731ef80d8f87e48c2f54fa5350d"],"state_sha256":"b5dc29dfa4b2646b95ccdeb4518915babefa6cacff3718f0371135ecf0f533fd"}