{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:RWNWBCSA6DECAZ6B7YGWD4HQBI","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":"f28adb4914d2b3404c90676cb64700ca7e59e7e666834a45f7a3d4644a1d617a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-05-19T05:23:43Z","title_canon_sha256":"69e32847008f876acde091f7d77b1b86839088bb24e5bfc344f25fada56e1019"},"schema_version":"1.0","source":{"id":"1105.3792","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.3792","created_at":"2026-05-18T02:21:52Z"},{"alias_kind":"arxiv_version","alias_value":"1105.3792v1","created_at":"2026-05-18T02:21:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.3792","created_at":"2026-05-18T02:21:52Z"},{"alias_kind":"pith_short_12","alias_value":"RWNWBCSA6DEC","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_16","alias_value":"RWNWBCSA6DECAZ6B","created_at":"2026-05-18T12:26:41Z"},{"alias_kind":"pith_short_8","alias_value":"RWNWBCSA","created_at":"2026-05-18T12:26:41Z"}],"graph_snapshots":[{"event_id":"sha256:ed6a320f532925c346f5c1ce78f643e9cc9dabb0796a289cb1543be080986e8c","target":"graph","created_at":"2026-05-18T02:21:52Z","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":"The author, in her previous paper, constructed an infinite family of 3-bridge links each of which admits infinitely many 3-bridge spheres up to isotopy. In this paper, we prove that if a prime, unsplittable link $L$ in $S^3$ admits infinitely many 3-bridge spheres up to isotopy then $L$ belongs to the family.","authors_text":"Yeonhee Jang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-05-19T05:23:43Z","title":"Characterization of 3-bridge links with infinitely many 3-bridge spheres"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.3792","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":"sha256:084d65353e16133cc9eee63db0b80fda6097f588932727423318fd7ec378c2ec","target":"record","created_at":"2026-05-18T02:21:52Z","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":"f28adb4914d2b3404c90676cb64700ca7e59e7e666834a45f7a3d4644a1d617a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2011-05-19T05:23:43Z","title_canon_sha256":"69e32847008f876acde091f7d77b1b86839088bb24e5bfc344f25fada56e1019"},"schema_version":"1.0","source":{"id":"1105.3792","kind":"arxiv","version":1}},"canonical_sha256":"8d9b608a40f0c82067c1fe0d61f0f00a331457fe19beead68265d142d642124f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8d9b608a40f0c82067c1fe0d61f0f00a331457fe19beead68265d142d642124f","first_computed_at":"2026-05-18T02:21:52.444134Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:52.444134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fsyP65x+auikLpD6MG3Yzl534/LsOTPm07g9UISgdfNmrwBwsZpxzRobxxwsZACz1e9M7BcGDy+Xv43PHdT9CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:52.444841Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.3792","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:084d65353e16133cc9eee63db0b80fda6097f588932727423318fd7ec378c2ec","sha256:ed6a320f532925c346f5c1ce78f643e9cc9dabb0796a289cb1543be080986e8c"],"state_sha256":"834072730586d3418f18d2a5e19c6d7b326216b3bb2454777257646fb7dd3f06"}