{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:AOYMN6TTWXNHKG525IKKCJUSVV","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":"096c90dee9d9da41ca0d5d9cd21a5dd2cc1dd55aabff38df9cf9f7736522dab5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-12-30T13:05:32Z","title_canon_sha256":"cf7ec6a4cd5f2e7a8fd2e6a97fd13f1e60d731d43dbbfd8f204d58fa4a93c03c"},"schema_version":"1.0","source":{"id":"1512.08931","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.08931","created_at":"2026-05-18T01:23:34Z"},{"alias_kind":"arxiv_version","alias_value":"1512.08931v1","created_at":"2026-05-18T01:23:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.08931","created_at":"2026-05-18T01:23:34Z"},{"alias_kind":"pith_short_12","alias_value":"AOYMN6TTWXNH","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"AOYMN6TTWXNHKG52","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"AOYMN6TT","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:33667163feeb3ef88008f9b48324a243a320fa35acb977babc79d7be1d9def11","target":"graph","created_at":"2026-05-18T01:23:34Z","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 present a large family of knots for which the Rasmussen s-invariants of arbitrary satellites do not detect sliceness. This answers a question of Hedden. The proof hinges on work of Kronheimer-Mrowka and Cochran-Harvey-Horn.","authors_text":"Jae Choon Cha, Min Hoon Kim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-12-30T13:05:32Z","title":"Rasmussen s-invariants of satellites do not detect slice knots"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.08931","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":"sha256:6b436788874c84fef4347b4ea886face990d3507f31be557df89c4d8cb0df58c","target":"record","created_at":"2026-05-18T01:23:34Z","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":"096c90dee9d9da41ca0d5d9cd21a5dd2cc1dd55aabff38df9cf9f7736522dab5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-12-30T13:05:32Z","title_canon_sha256":"cf7ec6a4cd5f2e7a8fd2e6a97fd13f1e60d731d43dbbfd8f204d58fa4a93c03c"},"schema_version":"1.0","source":{"id":"1512.08931","kind":"arxiv","version":1}},"canonical_sha256":"03b0c6fa73b5da751bbaea14a12692ad7579dae0c0ac9c9f0562702e08862b57","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"03b0c6fa73b5da751bbaea14a12692ad7579dae0c0ac9c9f0562702e08862b57","first_computed_at":"2026-05-18T01:23:34.456429Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:34.456429Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dZXC5WPPOjdCcnXARCyp6pBUqdGzd4Xug5uOvvm4/FDuI+0Zs7kUjQYY+CVJk944TVq4mcwJL8w2hDjGo8hABQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:34.457145Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.08931","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6b436788874c84fef4347b4ea886face990d3507f31be557df89c4d8cb0df58c","sha256:33667163feeb3ef88008f9b48324a243a320fa35acb977babc79d7be1d9def11"],"state_sha256":"7eff2789f4a9fa14b1db25d42f12bc4333eab8fee1909985425a8b72b407697e"}