{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:LYELPEQXGITX25LMUJL5JZMIKU","short_pith_number":"pith:LYELPEQX","canonical_record":{"source":{"id":"1601.07084","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-01-26T16:26:54Z","cross_cats_sorted":[],"title_canon_sha256":"e47e339de8c5853608945385dedc852667da301d62b95b82dc2f4a15e40623fc","abstract_canon_sha256":"5681fe79755d5406a9684c23afb02fc3968397140480521429d0bb48d6239c52"},"schema_version":"1.0"},"canonical_sha256":"5e08b7921732277d756ca257d4e588552929895c5962d5c9f7dd715b73565dd9","source":{"kind":"arxiv","id":"1601.07084","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.07084","created_at":"2026-05-18T00:10:57Z"},{"alias_kind":"arxiv_version","alias_value":"1601.07084v4","created_at":"2026-05-18T00:10:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07084","created_at":"2026-05-18T00:10:57Z"},{"alias_kind":"pith_short_12","alias_value":"LYELPEQXGITX","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LYELPEQXGITX25LM","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LYELPEQX","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:LYELPEQXGITX25LMUJL5JZMIKU","target":"record","payload":{"canonical_record":{"source":{"id":"1601.07084","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-01-26T16:26:54Z","cross_cats_sorted":[],"title_canon_sha256":"e47e339de8c5853608945385dedc852667da301d62b95b82dc2f4a15e40623fc","abstract_canon_sha256":"5681fe79755d5406a9684c23afb02fc3968397140480521429d0bb48d6239c52"},"schema_version":"1.0"},"canonical_sha256":"5e08b7921732277d756ca257d4e588552929895c5962d5c9f7dd715b73565dd9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:57.387559Z","signature_b64":"wbz18RbXNi/31ya9GzX6N/7oEDKu4tNXB/3P+C6xg8E0SwaEdpA8Dx9opdb+dlTFmQOYNMCfN4bO40+9Rm1ZAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5e08b7921732277d756ca257d4e588552929895c5962d5c9f7dd715b73565dd9","last_reissued_at":"2026-05-18T00:10:57.386621Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:57.386621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.07084","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:10:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bYBWeEeuDSv4osF5Fi93Tcf3Ny2o+/BuJ+pzHeY7bC91Br1Wv/2u7lZZwEXMALQueEn3OpsLr6y3fcknm4vhAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:32:19.829549Z"},"content_sha256":"15ae6c0778d63889356742f428c6cac07068b1ed101216c24671c285c9192ceb","schema_version":"1.0","event_id":"sha256:15ae6c0778d63889356742f428c6cac07068b1ed101216c24671c285c9192ceb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:LYELPEQXGITX25LMUJL5JZMIKU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quasi right-veering braids and non-loose links","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Keiko Kawamuro, Tetsuya Ito","submitted_at":"2016-01-26T16:26:54Z","abstract_excerpt":"We introduce a notion of \"quasi-right-veering\" for closed braids, which plays an analogous role to \"right-veering\" for open books. We show that a transverse link $K$ in a contact 3-manifold $(M,\\xi)$ is non-loose if and only if every braid representative of $K$ with respect to every open book decomposition that supports $(M,\\xi)$ is quasi-right-veering. We also show that several definitions of \"right-veering\" closed braids are equivalent."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07084","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:10:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tA3xmCSRzKA6NWP9B8sDZTkepsvdKI7vQcgJOxzdDk2vhetHy7FhhFGm6Xge+P+DDIzpcYTODC/QoiXvH3LDAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:32:19.830147Z"},"content_sha256":"2806c087242cd689c2ea8bd4d91944832decc1925ebb0e87117c10cbf5682c9e","schema_version":"1.0","event_id":"sha256:2806c087242cd689c2ea8bd4d91944832decc1925ebb0e87117c10cbf5682c9e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LYELPEQXGITX25LMUJL5JZMIKU/bundle.json","state_url":"https://pith.science/pith/LYELPEQXGITX25LMUJL5JZMIKU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LYELPEQXGITX25LMUJL5JZMIKU/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-05T21:32:19Z","links":{"resolver":"https://pith.science/pith/LYELPEQXGITX25LMUJL5JZMIKU","bundle":"https://pith.science/pith/LYELPEQXGITX25LMUJL5JZMIKU/bundle.json","state":"https://pith.science/pith/LYELPEQXGITX25LMUJL5JZMIKU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LYELPEQXGITX25LMUJL5JZMIKU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LYELPEQXGITX25LMUJL5JZMIKU","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":"5681fe79755d5406a9684c23afb02fc3968397140480521429d0bb48d6239c52","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-01-26T16:26:54Z","title_canon_sha256":"e47e339de8c5853608945385dedc852667da301d62b95b82dc2f4a15e40623fc"},"schema_version":"1.0","source":{"id":"1601.07084","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.07084","created_at":"2026-05-18T00:10:57Z"},{"alias_kind":"arxiv_version","alias_value":"1601.07084v4","created_at":"2026-05-18T00:10:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.07084","created_at":"2026-05-18T00:10:57Z"},{"alias_kind":"pith_short_12","alias_value":"LYELPEQXGITX","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LYELPEQXGITX25LM","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LYELPEQX","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:2806c087242cd689c2ea8bd4d91944832decc1925ebb0e87117c10cbf5682c9e","target":"graph","created_at":"2026-05-18T00:10:57Z","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 introduce a notion of \"quasi-right-veering\" for closed braids, which plays an analogous role to \"right-veering\" for open books. We show that a transverse link $K$ in a contact 3-manifold $(M,\\xi)$ is non-loose if and only if every braid representative of $K$ with respect to every open book decomposition that supports $(M,\\xi)$ is quasi-right-veering. We also show that several definitions of \"right-veering\" closed braids are equivalent.","authors_text":"Keiko Kawamuro, Tetsuya Ito","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-01-26T16:26:54Z","title":"Quasi right-veering braids and non-loose links"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.07084","kind":"arxiv","version":4},"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":"sha256:15ae6c0778d63889356742f428c6cac07068b1ed101216c24671c285c9192ceb","target":"record","created_at":"2026-05-18T00:10:57Z","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":"5681fe79755d5406a9684c23afb02fc3968397140480521429d0bb48d6239c52","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-01-26T16:26:54Z","title_canon_sha256":"e47e339de8c5853608945385dedc852667da301d62b95b82dc2f4a15e40623fc"},"schema_version":"1.0","source":{"id":"1601.07084","kind":"arxiv","version":4}},"canonical_sha256":"5e08b7921732277d756ca257d4e588552929895c5962d5c9f7dd715b73565dd9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5e08b7921732277d756ca257d4e588552929895c5962d5c9f7dd715b73565dd9","first_computed_at":"2026-05-18T00:10:57.386621Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:57.386621Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wbz18RbXNi/31ya9GzX6N/7oEDKu4tNXB/3P+C6xg8E0SwaEdpA8Dx9opdb+dlTFmQOYNMCfN4bO40+9Rm1ZAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:57.387559Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.07084","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:15ae6c0778d63889356742f428c6cac07068b1ed101216c24671c285c9192ceb","sha256:2806c087242cd689c2ea8bd4d91944832decc1925ebb0e87117c10cbf5682c9e"],"state_sha256":"5139a03f0688b82d43b23abd807663242550740f821ec8887791ace7fdd32f33"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F+PJI5CxXNU8/uwmVRNdJ6/Y26YLFlwAd/n2vcMUit0sZY4rOQ2UL5qBSAw3t+xAnmUfE5OpKeMhnP6ichskAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T21:32:19.833744Z","bundle_sha256":"9f598419977d3709afe6f15df8de76bb57c421624d5f4774930333ba1110c2e0"}}