{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:3E5N62WIKU74UE5Q43HZZ45X5L","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":"60e0d41c58c37fa3b2a9775a23f4adba7357a2d1bd4790b1caeb2d525621bff3","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2008-11-23T20:26:54Z","title_canon_sha256":"64aea461b703b9e9552122960181604f9a0d3feed9f16a3ceed5057a30074b59"},"schema_version":"1.0","source":{"id":"0811.3715","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.3715","created_at":"2026-05-18T03:46:32Z"},{"alias_kind":"arxiv_version","alias_value":"0811.3715v2","created_at":"2026-05-18T03:46:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.3715","created_at":"2026-05-18T03:46:32Z"},{"alias_kind":"pith_short_12","alias_value":"3E5N62WIKU74","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"3E5N62WIKU74UE5Q","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"3E5N62WI","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:1849997dcb05f23b685d02b10ee1cc5b67c87adfa120f55f343e593da0b56af3","target":"graph","created_at":"2026-05-18T03:46:32Z","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":"Let $(M,\\omega)$ be a geometrically bounded symplectic manifold, $N\\subseteq M$ a closed, regular (i.e. \"fibering\") coisotropic submanifold, and $\\phi:M\\to M$ a Hamiltonian diffeomorphism. The main result of this article is that the number of leafwise fixed points of $\\phi$ is bounded below by the sum of the $Z_2$-Betti numbers of $N$, provided that the Hofer distance between $\\phi$ and the identity is small enough and the pair $(N,\\phi)$ is non-degenerate. The bound is optimal if there exists a $Z_2$-perfect Morse function on $N$. A version of the Arnol'd-Givental conjecture for coisotropic s","authors_text":"Fabian Ziltener","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2008-11-23T20:26:54Z","title":"Coisotropic Submanifolds, Leafwise Fixed Points, and Presymplectic Embeddings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.3715","kind":"arxiv","version":2},"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":"sha256:0404bcc9323ba029cedc7d868754628cf8ef2e46c50314cb14cd6e2efa33f5f2","target":"record","created_at":"2026-05-18T03:46:32Z","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":"60e0d41c58c37fa3b2a9775a23f4adba7357a2d1bd4790b1caeb2d525621bff3","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2008-11-23T20:26:54Z","title_canon_sha256":"64aea461b703b9e9552122960181604f9a0d3feed9f16a3ceed5057a30074b59"},"schema_version":"1.0","source":{"id":"0811.3715","kind":"arxiv","version":2}},"canonical_sha256":"d93adf6ac8553fca13b0e6cf9cf3b7ead521b6bd58affe32c82f497be3c15db5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d93adf6ac8553fca13b0e6cf9cf3b7ead521b6bd58affe32c82f497be3c15db5","first_computed_at":"2026-05-18T03:46:32.230350Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:46:32.230350Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hv3g9+R06uhflPeD7S9q5F3AQBOHx1OzzxY5fTQFxIdiDnkc2UmnJQRnV1XNVPcuNfBpCOntHLZcrcPud+RADA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:46:32.231067Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.3715","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0404bcc9323ba029cedc7d868754628cf8ef2e46c50314cb14cd6e2efa33f5f2","sha256:1849997dcb05f23b685d02b10ee1cc5b67c87adfa120f55f343e593da0b56af3"],"state_sha256":"76368db6dafbe35dbf4afc3eeea6d264b48b68e0e61d67b13620703609e29a0d"}