{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:PVVYI3YODP3S5KFJJGD5JYNF3V","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":"9c6fd22c33974c290929e2b0452637ce2d1d7b84bb54cfe7d18f68d67daea30f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2010-07-05T14:59:06Z","title_canon_sha256":"737b9cc7ca4d7017ee39b8fc7800c3dc18c3f6381f59ff9ba268627fe9097bb5"},"schema_version":"1.0","source":{"id":"1007.0695","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1007.0695","created_at":"2026-05-18T04:22:11Z"},{"alias_kind":"arxiv_version","alias_value":"1007.0695v1","created_at":"2026-05-18T04:22:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.0695","created_at":"2026-05-18T04:22:11Z"},{"alias_kind":"pith_short_12","alias_value":"PVVYI3YODP3S","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"PVVYI3YODP3S5KFJ","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"PVVYI3YO","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:ae23c5b2a4ac94c0c787b503352e56ba51f5967af8d54eb10db01d4e3937da0d","target":"graph","created_at":"2026-05-18T04:22:11Z","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":"We establish an upper bound $\\omega(p/q)$ on the complexity of manifolds obtained by $p/q$-surgeries on the figure eight knot. It turns out that if $\\omega(p/q)\\leqslant 12$, the bound is sharp.","authors_text":"Evgeny Fominykh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2010-07-05T14:59:06Z","title":"Dehn surgeries on the figure eight knot: an upper bound for the complexity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.0695","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:f82b75a90be7c62c79480e5272c8d8f027d2a603b1e665610e3f22d2cfae6236","target":"record","created_at":"2026-05-18T04:22:11Z","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":"9c6fd22c33974c290929e2b0452637ce2d1d7b84bb54cfe7d18f68d67daea30f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2010-07-05T14:59:06Z","title_canon_sha256":"737b9cc7ca4d7017ee39b8fc7800c3dc18c3f6381f59ff9ba268627fe9097bb5"},"schema_version":"1.0","source":{"id":"1007.0695","kind":"arxiv","version":1}},"canonical_sha256":"7d6b846f0e1bf72ea8a94987d4e1a5dd4153ecd9a02649a6efbec73f073ab06b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d6b846f0e1bf72ea8a94987d4e1a5dd4153ecd9a02649a6efbec73f073ab06b","first_computed_at":"2026-05-18T04:22:11.447148Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:22:11.447148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"opOScgFStFFD8jdxBTxR1AUD4lV3HlN9CN2e/rHfmKHuGSaKUBo3nKuuwSKYRRXyMUA0s9Cb3gVYSivIuqbvDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:22:11.447554Z","signed_message":"canonical_sha256_bytes"},"source_id":"1007.0695","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f82b75a90be7c62c79480e5272c8d8f027d2a603b1e665610e3f22d2cfae6236","sha256:ae23c5b2a4ac94c0c787b503352e56ba51f5967af8d54eb10db01d4e3937da0d"],"state_sha256":"dc419fa4e02a0a896f12c1d559f12c75799f00765478a80bd15b0f5d8bf4402b"}