{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GEMF333CBNKMNCGLJJ6IMPXG2E","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":"f4e433fcdd4a8b3912f0b44a1854cde61b659b527ee9e98ddd948382ffa69c15","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-03-13T01:18:23Z","title_canon_sha256":"90ab458bbb6355b83f8c2132a08fca19ec7855038a2718aefcf3a2c83e7d6738"},"schema_version":"1.0","source":{"id":"1803.04586","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.04586","created_at":"2026-05-18T00:21:18Z"},{"alias_kind":"arxiv_version","alias_value":"1803.04586v1","created_at":"2026-05-18T00:21:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.04586","created_at":"2026-05-18T00:21:18Z"},{"alias_kind":"pith_short_12","alias_value":"GEMF333CBNKM","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GEMF333CBNKMNCGL","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GEMF333C","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:e138a96f6ea1f13faa94b7d4fbe0a233df8b371e2bdd03dd4bba83a4176b8f7e","target":"graph","created_at":"2026-05-18T00:21:18Z","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 prove that, for any ordinary sense slice 1-link $L$, we can define the Arf invariant and Arf(L)=0. We prove that, for any m-component 1-link L_1, there exists a 3m-component ordinary sense slaice 1-link L_2 of which L_1 is a sublink.","authors_text":"Eiji Ogasa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-03-13T01:18:23Z","title":"Some properties of ordinary sense slice 1-links: Some answers to the problem (26) of Fox"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.04586","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:bac8991d157c3c4e9f77cebad3151cde58c9379e8929644c2d24f2c582188854","target":"record","created_at":"2026-05-18T00:21:18Z","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":"f4e433fcdd4a8b3912f0b44a1854cde61b659b527ee9e98ddd948382ffa69c15","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-03-13T01:18:23Z","title_canon_sha256":"90ab458bbb6355b83f8c2132a08fca19ec7855038a2718aefcf3a2c83e7d6738"},"schema_version":"1.0","source":{"id":"1803.04586","kind":"arxiv","version":1}},"canonical_sha256":"31185def620b54c688cb4a7c863ee6d12eb41053670fbd13879c266eb8cdd065","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"31185def620b54c688cb4a7c863ee6d12eb41053670fbd13879c266eb8cdd065","first_computed_at":"2026-05-18T00:21:18.584767Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:18.584767Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AW12QI4fotyOQTi5B6eOFApNuNyEdhK3w3chfHw8X0saPIvx9g9o8DP1ddyK83rsftfa3uFHL3OXgQuVDU4xCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:18.585220Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.04586","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bac8991d157c3c4e9f77cebad3151cde58c9379e8929644c2d24f2c582188854","sha256:e138a96f6ea1f13faa94b7d4fbe0a233df8b371e2bdd03dd4bba83a4176b8f7e"],"state_sha256":"afc74347c89760879a105d35ae5f1681b979ebf846902b42ec4166d7a906bdcc"}