{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:7ADXCR4ET3K72U427YZWSNXXIY","short_pith_number":"pith:7ADXCR4E","canonical_record":{"source":{"id":"1807.04398","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-07-12T02:10:32Z","cross_cats_sorted":[],"title_canon_sha256":"13dc67b33e2e90cf104503e20a6d7c5561f3d896bbdf953a905b2d96e30fd093","abstract_canon_sha256":"1478bfa2f708a654f48d276819f7418def899e88333d2abb505507a1ea129e8e"},"schema_version":"1.0"},"canonical_sha256":"f8077147849ed5fd539afe336936f7461d43a221b61d6d1c0f202ca5ef07032b","source":{"kind":"arxiv","id":"1807.04398","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.04398","created_at":"2026-05-18T00:10:53Z"},{"alias_kind":"arxiv_version","alias_value":"1807.04398v1","created_at":"2026-05-18T00:10:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.04398","created_at":"2026-05-18T00:10:53Z"},{"alias_kind":"pith_short_12","alias_value":"7ADXCR4ET3K7","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7ADXCR4ET3K72U42","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7ADXCR4E","created_at":"2026-05-18T12:32:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:7ADXCR4ET3K72U427YZWSNXXIY","target":"record","payload":{"canonical_record":{"source":{"id":"1807.04398","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-07-12T02:10:32Z","cross_cats_sorted":[],"title_canon_sha256":"13dc67b33e2e90cf104503e20a6d7c5561f3d896bbdf953a905b2d96e30fd093","abstract_canon_sha256":"1478bfa2f708a654f48d276819f7418def899e88333d2abb505507a1ea129e8e"},"schema_version":"1.0"},"canonical_sha256":"f8077147849ed5fd539afe336936f7461d43a221b61d6d1c0f202ca5ef07032b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:53.638894Z","signature_b64":"LmLWEu56E8Le6NHgs3Ktv+KA12GZKif/0VetnY8j12gY7pwiOIozSaKnIqJ36VXhVqJNY0KOB6grXHOsQbHzBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f8077147849ed5fd539afe336936f7461d43a221b61d6d1c0f202ca5ef07032b","last_reissued_at":"2026-05-18T00:10:53.638340Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:53.638340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.04398","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:10:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TsqMYMxRQCDUzxicgV8yXbAZhOa7Jgdrs+ARFi9Z9/yuAfUGeEnsGqT1ECw4OJvAAUjQVot55GdfzVNetd+LCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T03:13:28.913138Z"},"content_sha256":"6d840be0302c7ae67e092b02b0ace69e3a55c41c35f3148e154ffd9854f3886e","schema_version":"1.0","event_id":"sha256:6d840be0302c7ae67e092b02b0ace69e3a55c41c35f3148e154ffd9854f3886e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:7ADXCR4ET3K72U427YZWSNXXIY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the fractional Dehn twist coefficients of branched coverings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Keiko Kawamuro, Tetsuya Ito","submitted_at":"2018-07-12T02:10:32Z","abstract_excerpt":"We discuss how the fractional Dehn twist coefficient behaves under a fully ramified branched covering of an open book, and give applications to both topological and contact 3-manifolds. Among them, we show that non-right-veering closed braids represent virtually loose transverse links."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.04398","kind":"arxiv","version":1},"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":"2026-05-18T00:10:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N83mSdgKOUlN0GaWo4Dnf8hG7N1f6UR6PZd0erzOZAJqBtKIarLytU36hlF1PFd+SDN/QFg1kz0vEGItbVECDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T03:13:28.913837Z"},"content_sha256":"9598bb8daa1c956ae932a31fe8f6577c614c892870a0e9dc24ede699ea17c571","schema_version":"1.0","event_id":"sha256:9598bb8daa1c956ae932a31fe8f6577c614c892870a0e9dc24ede699ea17c571"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7ADXCR4ET3K72U427YZWSNXXIY/bundle.json","state_url":"https://pith.science/pith/7ADXCR4ET3K72U427YZWSNXXIY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7ADXCR4ET3K72U427YZWSNXXIY/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":"2026-06-11T03:13:28Z","links":{"resolver":"https://pith.science/pith/7ADXCR4ET3K72U427YZWSNXXIY","bundle":"https://pith.science/pith/7ADXCR4ET3K72U427YZWSNXXIY/bundle.json","state":"https://pith.science/pith/7ADXCR4ET3K72U427YZWSNXXIY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7ADXCR4ET3K72U427YZWSNXXIY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:7ADXCR4ET3K72U427YZWSNXXIY","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":"1478bfa2f708a654f48d276819f7418def899e88333d2abb505507a1ea129e8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-07-12T02:10:32Z","title_canon_sha256":"13dc67b33e2e90cf104503e20a6d7c5561f3d896bbdf953a905b2d96e30fd093"},"schema_version":"1.0","source":{"id":"1807.04398","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.04398","created_at":"2026-05-18T00:10:53Z"},{"alias_kind":"arxiv_version","alias_value":"1807.04398v1","created_at":"2026-05-18T00:10:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.04398","created_at":"2026-05-18T00:10:53Z"},{"alias_kind":"pith_short_12","alias_value":"7ADXCR4ET3K7","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_16","alias_value":"7ADXCR4ET3K72U42","created_at":"2026-05-18T12:32:11Z"},{"alias_kind":"pith_short_8","alias_value":"7ADXCR4E","created_at":"2026-05-18T12:32:11Z"}],"graph_snapshots":[{"event_id":"sha256:9598bb8daa1c956ae932a31fe8f6577c614c892870a0e9dc24ede699ea17c571","target":"graph","created_at":"2026-05-18T00:10:53Z","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 discuss how the fractional Dehn twist coefficient behaves under a fully ramified branched covering of an open book, and give applications to both topological and contact 3-manifolds. Among them, we show that non-right-veering closed braids represent virtually loose transverse links.","authors_text":"Keiko Kawamuro, Tetsuya Ito","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-07-12T02:10:32Z","title":"On the fractional Dehn twist coefficients of branched coverings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.04398","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":"sha256:6d840be0302c7ae67e092b02b0ace69e3a55c41c35f3148e154ffd9854f3886e","target":"record","created_at":"2026-05-18T00:10:53Z","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":"1478bfa2f708a654f48d276819f7418def899e88333d2abb505507a1ea129e8e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2018-07-12T02:10:32Z","title_canon_sha256":"13dc67b33e2e90cf104503e20a6d7c5561f3d896bbdf953a905b2d96e30fd093"},"schema_version":"1.0","source":{"id":"1807.04398","kind":"arxiv","version":1}},"canonical_sha256":"f8077147849ed5fd539afe336936f7461d43a221b61d6d1c0f202ca5ef07032b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f8077147849ed5fd539afe336936f7461d43a221b61d6d1c0f202ca5ef07032b","first_computed_at":"2026-05-18T00:10:53.638340Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:10:53.638340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LmLWEu56E8Le6NHgs3Ktv+KA12GZKif/0VetnY8j12gY7pwiOIozSaKnIqJ36VXhVqJNY0KOB6grXHOsQbHzBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:10:53.638894Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.04398","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6d840be0302c7ae67e092b02b0ace69e3a55c41c35f3148e154ffd9854f3886e","sha256:9598bb8daa1c956ae932a31fe8f6577c614c892870a0e9dc24ede699ea17c571"],"state_sha256":"70d720404f91a8ca1910701d1b8011327743a6e9eb0eeb00fff3db203747460c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vUlLLPt6gG/x2h2tudZO9+5UUDTmwsktrIVG7QEwdnTeqPO6MXBEGTBL5Y6lyzIOSqqWx4ZykDVs2M3hMExFCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T03:13:28.917766Z","bundle_sha256":"b304940b7858187beee6262066db61f1e19dd25eebf5cac5405d3f725a73efb8"}}