{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:TRFGTPIKOGF6HAUIZE6EYKNP3G","short_pith_number":"pith:TRFGTPIK","canonical_record":{"source":{"id":"1509.00352","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-09-01T15:26:45Z","cross_cats_sorted":[],"title_canon_sha256":"ea8335cba2dd53e9e23822a2f3f05b097eac23cf0843c4bd997d52a3801a70ed","abstract_canon_sha256":"f967db1421a77b8c6e041b33326873ace1da88d5b0a0defc76958f2fef9d0b52"},"schema_version":"1.0"},"canonical_sha256":"9c4a69bd0a718be38288c93c4c29afd98ee6d3a67182d32f6d91970e0a5b9618","source":{"kind":"arxiv","id":"1509.00352","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00352","created_at":"2026-05-18T01:34:14Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00352v1","created_at":"2026-05-18T01:34:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00352","created_at":"2026-05-18T01:34:14Z"},{"alias_kind":"pith_short_12","alias_value":"TRFGTPIKOGF6","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TRFGTPIKOGF6HAUI","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TRFGTPIK","created_at":"2026-05-18T12:29:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:TRFGTPIKOGF6HAUIZE6EYKNP3G","target":"record","payload":{"canonical_record":{"source":{"id":"1509.00352","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-09-01T15:26:45Z","cross_cats_sorted":[],"title_canon_sha256":"ea8335cba2dd53e9e23822a2f3f05b097eac23cf0843c4bd997d52a3801a70ed","abstract_canon_sha256":"f967db1421a77b8c6e041b33326873ace1da88d5b0a0defc76958f2fef9d0b52"},"schema_version":"1.0"},"canonical_sha256":"9c4a69bd0a718be38288c93c4c29afd98ee6d3a67182d32f6d91970e0a5b9618","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:14.343942Z","signature_b64":"HrEnn/dYX1diYBHR0RWoYPIJ9CWiVArDgLNbTPyu+QjqovTv/YCZNkrO4OnHTiDzGDSYP6lmAg2uY1fzBLVrBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c4a69bd0a718be38288c93c4c29afd98ee6d3a67182d32f6d91970e0a5b9618","last_reissued_at":"2026-05-18T01:34:14.343283Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:14.343283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1509.00352","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":"2026-05-18T01:34:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q2/vIguV8BewX4IF5bJSMqp//WrB66w60aVfxbWnQRg4lUAkkL83kVKeJILuPyx8y0+Wz9GYwWYW4Ak1j3AMAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T13:17:58.220389Z"},"content_sha256":"5418bd8e348e1da1ad9879eb5beb5c42792f50863ad8d601617fa6422bb4bc5b","schema_version":"1.0","event_id":"sha256:5418bd8e348e1da1ad9879eb5beb5c42792f50863ad8d601617fa6422bb4bc5b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:TRFGTPIKOGF6HAUIZE6EYKNP3G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coverings of open books","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Keiko Kawamuro, Tetsuya Ito","submitted_at":"2015-09-01T15:26:45Z","abstract_excerpt":"We study a coverings of open books and virtually overtwisted contact manifolds using open book foliations. We show that open book coverings produces interesting examples such as transverse knots with depth grater than 1. We also demonstrate explicit examples of virtually overtwisted open books."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00352","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":"2026-05-18T01:34:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1+dWhefmK+ucOtvA/JR+PH9XS3C2N2m3zxpCVBznYtE6MClCN7IM3Nnl6HlMMPfLFFOogSuUGjSBIRNHOtj5BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T13:17:58.220731Z"},"content_sha256":"36cef6262502305cab6f44e69002943fa099678e03a09df4d7bd2f551246f973","schema_version":"1.0","event_id":"sha256:36cef6262502305cab6f44e69002943fa099678e03a09df4d7bd2f551246f973"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TRFGTPIKOGF6HAUIZE6EYKNP3G/bundle.json","state_url":"https://pith.science/pith/TRFGTPIKOGF6HAUIZE6EYKNP3G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TRFGTPIKOGF6HAUIZE6EYKNP3G/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":"2026-06-05T13:17:58Z","links":{"resolver":"https://pith.science/pith/TRFGTPIKOGF6HAUIZE6EYKNP3G","bundle":"https://pith.science/pith/TRFGTPIKOGF6HAUIZE6EYKNP3G/bundle.json","state":"https://pith.science/pith/TRFGTPIKOGF6HAUIZE6EYKNP3G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TRFGTPIKOGF6HAUIZE6EYKNP3G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TRFGTPIKOGF6HAUIZE6EYKNP3G","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":"f967db1421a77b8c6e041b33326873ace1da88d5b0a0defc76958f2fef9d0b52","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-09-01T15:26:45Z","title_canon_sha256":"ea8335cba2dd53e9e23822a2f3f05b097eac23cf0843c4bd997d52a3801a70ed"},"schema_version":"1.0","source":{"id":"1509.00352","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.00352","created_at":"2026-05-18T01:34:14Z"},{"alias_kind":"arxiv_version","alias_value":"1509.00352v1","created_at":"2026-05-18T01:34:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.00352","created_at":"2026-05-18T01:34:14Z"},{"alias_kind":"pith_short_12","alias_value":"TRFGTPIKOGF6","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TRFGTPIKOGF6HAUI","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TRFGTPIK","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:36cef6262502305cab6f44e69002943fa099678e03a09df4d7bd2f551246f973","target":"graph","created_at":"2026-05-18T01:34:14Z","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 study a coverings of open books and virtually overtwisted contact manifolds using open book foliations. We show that open book coverings produces interesting examples such as transverse knots with depth grater than 1. We also demonstrate explicit examples of virtually overtwisted open books.","authors_text":"Keiko Kawamuro, Tetsuya Ito","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-09-01T15:26:45Z","title":"Coverings of open books"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.00352","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":"sha256:5418bd8e348e1da1ad9879eb5beb5c42792f50863ad8d601617fa6422bb4bc5b","target":"record","created_at":"2026-05-18T01:34:14Z","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":"f967db1421a77b8c6e041b33326873ace1da88d5b0a0defc76958f2fef9d0b52","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-09-01T15:26:45Z","title_canon_sha256":"ea8335cba2dd53e9e23822a2f3f05b097eac23cf0843c4bd997d52a3801a70ed"},"schema_version":"1.0","source":{"id":"1509.00352","kind":"arxiv","version":1}},"canonical_sha256":"9c4a69bd0a718be38288c93c4c29afd98ee6d3a67182d32f6d91970e0a5b9618","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9c4a69bd0a718be38288c93c4c29afd98ee6d3a67182d32f6d91970e0a5b9618","first_computed_at":"2026-05-18T01:34:14.343283Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:14.343283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HrEnn/dYX1diYBHR0RWoYPIJ9CWiVArDgLNbTPyu+QjqovTv/YCZNkrO4OnHTiDzGDSYP6lmAg2uY1fzBLVrBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:14.343942Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.00352","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5418bd8e348e1da1ad9879eb5beb5c42792f50863ad8d601617fa6422bb4bc5b","sha256:36cef6262502305cab6f44e69002943fa099678e03a09df4d7bd2f551246f973"],"state_sha256":"0b0b15ce73e76ae4470d45dbb6fa590196d0074b2f74666d4ecbbb4d99b364e3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"L9POI4jO1LAOSB4UP7nDS4RedpphNADdecz1893HVzO2d2tHhgfGrQhc1HlrFh4b0AsYkyPQHCvbpZIwgNeQAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T13:17:58.222721Z","bundle_sha256":"3cc3f050cfba1955ff04f06c8c576d7d253e77bfb1006edeb939971c80ff35fb"}}