{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:3UZ4YSCN5B4ZPCU2XONRR7NLI4","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":"1c0369024a9f26e66888e5d1bcce26f5fad999317bdf72a3084b9794b0d86d4d","cross_cats_sorted":["math.DG","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-06-06T00:13:41Z","title_canon_sha256":"1d679fdf83b6b8f0582bec62ce7fda1b6283bc91d031727c26a713c19c1e7eff"},"schema_version":"1.0","source":{"id":"1806.01967","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1806.01967","created_at":"2026-05-18T00:14:03Z"},{"alias_kind":"arxiv_version","alias_value":"1806.01967v1","created_at":"2026-05-18T00:14:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1806.01967","created_at":"2026-05-18T00:14:03Z"},{"alias_kind":"pith_short_12","alias_value":"3UZ4YSCN5B4Z","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_16","alias_value":"3UZ4YSCN5B4ZPCU2","created_at":"2026-05-18T12:32:05Z"},{"alias_kind":"pith_short_8","alias_value":"3UZ4YSCN","created_at":"2026-05-18T12:32:05Z"}],"graph_snapshots":[{"event_id":"sha256:0cc8efc52f5a96f8b005907f5b178050d2d286c1ea24e70526c8a0d24f6d3360","target":"graph","created_at":"2026-05-18T00:14:03Z","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":"If a contact form on a (2n+1)-dimensional closed contact manifold admits closed Reeb orbits, then its systolic ration is defined to be the quotient of (n+1)th power of the shortest period of Reeb orbits by the contact volume. We prove that every co-orientable contact structure on any closed contact manifold admits a contact form with arbitrarily large systolic ratio. This statement generalizes the recent result of Abbondandolo et al. in dimension three to higher dimensions. We extend the plug construction of Abbondandolo et. al. to any dimension, by means of generalizing the hamiltonian disc m","authors_text":"Murat Sa\\u{g}lam","cross_cats":["math.DG","math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-06-06T00:13:41Z","title":"Contact forms with large systolic ratio in arbitrary dimensions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1806.01967","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:a9783f37c14db7b0777465beb71046e938561bbddbf78f15a8ccf780d28a7add","target":"record","created_at":"2026-05-18T00:14:03Z","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":"1c0369024a9f26e66888e5d1bcce26f5fad999317bdf72a3084b9794b0d86d4d","cross_cats_sorted":["math.DG","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2018-06-06T00:13:41Z","title_canon_sha256":"1d679fdf83b6b8f0582bec62ce7fda1b6283bc91d031727c26a713c19c1e7eff"},"schema_version":"1.0","source":{"id":"1806.01967","kind":"arxiv","version":1}},"canonical_sha256":"dd33cc484de879978a9abb9b18fdab472cabad44460854c39d196b00898cd6e8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dd33cc484de879978a9abb9b18fdab472cabad44460854c39d196b00898cd6e8","first_computed_at":"2026-05-18T00:14:03.241352Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:14:03.241352Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Zi/E9kGRiyHMtl54AN4+NkrKY8fu7HELVzxkoENzggOOkY5aEMk+dz/T/MIxkVafK8GZmSv+pgJL03HfvowwCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:14:03.242032Z","signed_message":"canonical_sha256_bytes"},"source_id":"1806.01967","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a9783f37c14db7b0777465beb71046e938561bbddbf78f15a8ccf780d28a7add","sha256:0cc8efc52f5a96f8b005907f5b178050d2d286c1ea24e70526c8a0d24f6d3360"],"state_sha256":"5616fe69334256698ee8ba16abe0e9ff09dede200000754c8991f395f563ee2b"}