{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:KXEWHMHB6QFCVKG3X2DQ4WS4OA","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":"8cf5966449d1b0e73dca3c6ea0d8fe0a5c8e6ccc443b7f4e40cd6f99d23347a6","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2010-01-05T18:28:38Z","title_canon_sha256":"eea3466c48e92f7cf20b759d9d1a02bf360a10753a5b37ca05718fe74c33d37d"},"schema_version":"1.0","source":{"id":"1001.0721","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.0721","created_at":"2026-05-18T01:04:59Z"},{"alias_kind":"arxiv_version","alias_value":"1001.0721v2","created_at":"2026-05-18T01:04:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.0721","created_at":"2026-05-18T01:04:59Z"},{"alias_kind":"pith_short_12","alias_value":"KXEWHMHB6QFC","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"KXEWHMHB6QFCVKG3","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"KXEWHMHB","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:5c313d28c7450a99421f44f7d7f31280a209d9cdec2cb74db6c1c8c843795625","target":"graph","created_at":"2026-05-18T01:04:59Z","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 paper was withdrawn as Lemma 2 is incorrect.","authors_text":"Motoo Tange","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2010-01-05T18:28:38Z","title":"On the figure-8 surgery of S^2\\times S^2"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.0721","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":"sha256:843dced300aaff8219eedc3750e55d490f6756baa6a713c2fb33c833f7900c21","target":"record","created_at":"2026-05-18T01:04:59Z","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":"8cf5966449d1b0e73dca3c6ea0d8fe0a5c8e6ccc443b7f4e40cd6f99d23347a6","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2010-01-05T18:28:38Z","title_canon_sha256":"eea3466c48e92f7cf20b759d9d1a02bf360a10753a5b37ca05718fe74c33d37d"},"schema_version":"1.0","source":{"id":"1001.0721","kind":"arxiv","version":2}},"canonical_sha256":"55c963b0e1f40a2aa8dbbe870e5a5c7011633938bba2a7e34fd8b503f0192af3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55c963b0e1f40a2aa8dbbe870e5a5c7011633938bba2a7e34fd8b503f0192af3","first_computed_at":"2026-05-18T01:04:59.231175Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:59.231175Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8l1Ne3vpcOeRJGWI1siz9GW2YBnvdsIZQguwM4FFbzg+shEhde5Z5dXFGzF8bYZgUXMvZgECIo/fkXlmiP87DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:59.231709Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.0721","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:843dced300aaff8219eedc3750e55d490f6756baa6a713c2fb33c833f7900c21","sha256:5c313d28c7450a99421f44f7d7f31280a209d9cdec2cb74db6c1c8c843795625"],"state_sha256":"b514365a3782aae60a76c197481a360b602edf9c89ecd492916d56a812055a65"}