{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:OCKPAHSVL7DLVNQR35E7AC2HGB","short_pith_number":"pith:OCKPAHSV","canonical_record":{"source":{"id":"1211.0201","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-11-01T15:17:58Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"4ebdec3e41b2d3bf9cda69da958bb5d99ae39ec79c7795122593bc1134606d24","abstract_canon_sha256":"94f4d046d047aea5d9a87d23f17f326737a1676d5ac694983156b45ab6b3e353"},"schema_version":"1.0"},"canonical_sha256":"7094f01e555fc6bab611df49f00b47304db4da3cf3bd70639eb77a4dd804c8cc","source":{"kind":"arxiv","id":"1211.0201","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.0201","created_at":"2026-05-18T00:01:23Z"},{"alias_kind":"arxiv_version","alias_value":"1211.0201v1","created_at":"2026-05-18T00:01:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.0201","created_at":"2026-05-18T00:01:23Z"},{"alias_kind":"pith_short_12","alias_value":"OCKPAHSVL7DL","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OCKPAHSVL7DLVNQR","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OCKPAHSV","created_at":"2026-05-18T12:27:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:OCKPAHSVL7DLVNQR35E7AC2HGB","target":"record","payload":{"canonical_record":{"source":{"id":"1211.0201","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-11-01T15:17:58Z","cross_cats_sorted":["math.GT"],"title_canon_sha256":"4ebdec3e41b2d3bf9cda69da958bb5d99ae39ec79c7795122593bc1134606d24","abstract_canon_sha256":"94f4d046d047aea5d9a87d23f17f326737a1676d5ac694983156b45ab6b3e353"},"schema_version":"1.0"},"canonical_sha256":"7094f01e555fc6bab611df49f00b47304db4da3cf3bd70639eb77a4dd804c8cc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:23.854838Z","signature_b64":"fLXSa0R64ZmcYjb4Ggg29phhusqpqp7lus9uSQYMydRm21JsiAlpo+9XANvnC45OMBLOB7oITypbtZ2DHRkuDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7094f01e555fc6bab611df49f00b47304db4da3cf3bd70639eb77a4dd804c8cc","last_reissued_at":"2026-05-18T00:01:23.854346Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:23.854346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1211.0201","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":"2026-05-18T00:01:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZvoTph/9iPnk7k3DALGzTMvTWpJvYN01+f5bjUsOgR6CnavOV0an9pLVDlGlBf8mTXXbLLBf3OhURO6Gfc19AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:41:11.052531Z"},"content_sha256":"1dfbb330a1a9e8235da85027d243fd12cef05f84a1c3b4c5a7e26c2d624f0065","schema_version":"1.0","event_id":"sha256:1dfbb330a1a9e8235da85027d243fd12cef05f84a1c3b4c5a7e26c2d624f0065"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:OCKPAHSVL7DLVNQR35E7AC2HGB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Open books for Boothby-Wang bundles, fibered Dehn twists and the mean Euler characteristic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT"],"primary_cat":"math.SG","authors_text":"Fan Ding, Otto van Koert, River Chiang","submitted_at":"2012-11-01T15:17:58Z","abstract_excerpt":"We examine open books with powers of fibered Dehn twists as monodromy. The resulting contact manifolds can be thought of as Boothby-Wang orbibundles over symplectic orbifolds. Using the mean Euler characteristic of equivariant symplectic homology we can distinguish these contact manifolds and hence show that some fibered Dehn twists are not symplectically isotopic to the identity relative to the boundary. This complements results of Biran and Giroux."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.0201","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":"2026-05-18T00:01:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CYu5LOcvK1JSX7EuLGXQoLCqQhpoxb6ebn4KDWjE4woO5Birt8IDVRLe9lv/lt8dIc1NwITt9SZw4UX3t3HjAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T22:41:11.053115Z"},"content_sha256":"7e822813eee97aa68c0967f859737113091a1803f31bd727fb0c0efb87f320b8","schema_version":"1.0","event_id":"sha256:7e822813eee97aa68c0967f859737113091a1803f31bd727fb0c0efb87f320b8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OCKPAHSVL7DLVNQR35E7AC2HGB/bundle.json","state_url":"https://pith.science/pith/OCKPAHSVL7DLVNQR35E7AC2HGB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OCKPAHSVL7DLVNQR35E7AC2HGB/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":"2026-05-27T22:41:11Z","links":{"resolver":"https://pith.science/pith/OCKPAHSVL7DLVNQR35E7AC2HGB","bundle":"https://pith.science/pith/OCKPAHSVL7DLVNQR35E7AC2HGB/bundle.json","state":"https://pith.science/pith/OCKPAHSVL7DLVNQR35E7AC2HGB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OCKPAHSVL7DLVNQR35E7AC2HGB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OCKPAHSVL7DLVNQR35E7AC2HGB","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":"94f4d046d047aea5d9a87d23f17f326737a1676d5ac694983156b45ab6b3e353","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-11-01T15:17:58Z","title_canon_sha256":"4ebdec3e41b2d3bf9cda69da958bb5d99ae39ec79c7795122593bc1134606d24"},"schema_version":"1.0","source":{"id":"1211.0201","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1211.0201","created_at":"2026-05-18T00:01:23Z"},{"alias_kind":"arxiv_version","alias_value":"1211.0201v1","created_at":"2026-05-18T00:01:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.0201","created_at":"2026-05-18T00:01:23Z"},{"alias_kind":"pith_short_12","alias_value":"OCKPAHSVL7DL","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OCKPAHSVL7DLVNQR","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OCKPAHSV","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:7e822813eee97aa68c0967f859737113091a1803f31bd727fb0c0efb87f320b8","target":"graph","created_at":"2026-05-18T00:01:23Z","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 examine open books with powers of fibered Dehn twists as monodromy. The resulting contact manifolds can be thought of as Boothby-Wang orbibundles over symplectic orbifolds. Using the mean Euler characteristic of equivariant symplectic homology we can distinguish these contact manifolds and hence show that some fibered Dehn twists are not symplectically isotopic to the identity relative to the boundary. This complements results of Biran and Giroux.","authors_text":"Fan Ding, Otto van Koert, River Chiang","cross_cats":["math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-11-01T15:17:58Z","title":"Open books for Boothby-Wang bundles, fibered Dehn twists and the mean Euler characteristic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.0201","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":"sha256:1dfbb330a1a9e8235da85027d243fd12cef05f84a1c3b4c5a7e26c2d624f0065","target":"record","created_at":"2026-05-18T00:01:23Z","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":"94f4d046d047aea5d9a87d23f17f326737a1676d5ac694983156b45ab6b3e353","cross_cats_sorted":["math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2012-11-01T15:17:58Z","title_canon_sha256":"4ebdec3e41b2d3bf9cda69da958bb5d99ae39ec79c7795122593bc1134606d24"},"schema_version":"1.0","source":{"id":"1211.0201","kind":"arxiv","version":1}},"canonical_sha256":"7094f01e555fc6bab611df49f00b47304db4da3cf3bd70639eb77a4dd804c8cc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7094f01e555fc6bab611df49f00b47304db4da3cf3bd70639eb77a4dd804c8cc","first_computed_at":"2026-05-18T00:01:23.854346Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:01:23.854346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fLXSa0R64ZmcYjb4Ggg29phhusqpqp7lus9uSQYMydRm21JsiAlpo+9XANvnC45OMBLOB7oITypbtZ2DHRkuDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:01:23.854838Z","signed_message":"canonical_sha256_bytes"},"source_id":"1211.0201","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1dfbb330a1a9e8235da85027d243fd12cef05f84a1c3b4c5a7e26c2d624f0065","sha256:7e822813eee97aa68c0967f859737113091a1803f31bd727fb0c0efb87f320b8"],"state_sha256":"6ea718a5df66ac706b12ecf654f5432c57f141239963eb40863a47fc3b2e2865"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nvm/PjgKq0SZfIVvcFF6YvoIsi90m3mXV2CacoT+q4iBgcyGRmFfPODAkma7ohu57r1O3542mWcnFEf9uykqDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T22:41:11.057161Z","bundle_sha256":"e2865c6bd2fbc17f6bcd843786f2741a1a241552b9f97b97ddce9f12ea9287f1"}}