{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:3WPX72UWFRLHI2PZYPCEMIBTFI","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":"ad722ac2eeec50f8711329b7f561d4ce8e00555d8546e08d564f805eac0d8549","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-02-21T17:49:38Z","title_canon_sha256":"2c94a2573900db5b6f27692d6752ad9d9cc6ab23d0129eb94a82837148973ad1"},"schema_version":"1.0","source":{"id":"1502.06118","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06118","created_at":"2026-05-18T02:26:38Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06118v1","created_at":"2026-05-18T02:26:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06118","created_at":"2026-05-18T02:26:38Z"},{"alias_kind":"pith_short_12","alias_value":"3WPX72UWFRLH","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_16","alias_value":"3WPX72UWFRLHI2PZ","created_at":"2026-05-18T12:29:02Z"},{"alias_kind":"pith_short_8","alias_value":"3WPX72UW","created_at":"2026-05-18T12:29:02Z"}],"graph_snapshots":[{"event_id":"sha256:5d0250f336f933e6d43002b2f70a072313e1055b74887d4c51fcb3d55cfeb189","target":"graph","created_at":"2026-05-18T02:26:38Z","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 construct a contact 5-manifold supported by infinitely many distinct open books with the identity monodromy and pairwise exotic Stein pages (i.e. pages are pairwise homeomorphic but non-diffeomorphic Stein fillings of a fixed contact 3-manifold), moreover we describe a process of generating infinitely many such examples. In contrast to this result, on each of $\\#_{n} S^{2}\\times S^{3}$ and $\\#_{n} S^{2}\\tilde{\\times} S^{3}$ $(n\\geq 2)$ we construct infinitely many open books with pairwise exotic Stein pages (and identity monodromy) supporting mutually distinct contact structures.","authors_text":"Kouichi Yasui, Selman Akbulut","cross_cats":["math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-02-21T17:49:38Z","title":"Contact 5-manifolds admitting open books with exotic pages"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06118","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:fee81c294af63ea71fac0fbfd0cb46cae24a9432f93385bc4ddfde564f9f792c","target":"record","created_at":"2026-05-18T02:26:38Z","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":"ad722ac2eeec50f8711329b7f561d4ce8e00555d8546e08d564f805eac0d8549","cross_cats_sorted":["math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2015-02-21T17:49:38Z","title_canon_sha256":"2c94a2573900db5b6f27692d6752ad9d9cc6ab23d0129eb94a82837148973ad1"},"schema_version":"1.0","source":{"id":"1502.06118","kind":"arxiv","version":1}},"canonical_sha256":"dd9f7fea962c567469f9c3c44620332a19425df5fe56ba0860e2c70400cb1888","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd9f7fea962c567469f9c3c44620332a19425df5fe56ba0860e2c70400cb1888","first_computed_at":"2026-05-18T02:26:38.011893Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:38.011893Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qFPUd9dBUYehWg3X6upQgA/pPvbpgzc0BjhD8tgOqdgw2kcbL4lcVXAZ5MLdVb9UckD9BTxtdnd9xmRJT3qCDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:38.012329Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.06118","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fee81c294af63ea71fac0fbfd0cb46cae24a9432f93385bc4ddfde564f9f792c","sha256:5d0250f336f933e6d43002b2f70a072313e1055b74887d4c51fcb3d55cfeb189"],"state_sha256":"628dfa8a82828c6dfcea90e1106b75f46622ccc09228c8ba1fe0f39d00f711f9"}