{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:KCRCEKKSS6HTB6QHVPPFU5ZAQO","short_pith_number":"pith:KCRCEKKS","schema_version":"1.0","canonical_sha256":"50a2222952978f30fa07abde5a772083afcdfb004142e173ec801926a5a9997c","source":{"kind":"arxiv","id":"2507.13924","version":2},"attestation_state":"computed","paper":{"title":"More counterexamples to Lagrangian Poincar\\'e recurrence in dimension four","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.SG","authors_text":"Joel Schmitz","submitted_at":"2025-07-18T13:59:00Z","abstract_excerpt":"In earlier work, we constructed counterexamples to Lagrangian Poincar\\'e recurrence for many toric symplectic four manifolds. Here we provide a few more examples extending the family of counterexamples to include all non-monotone toric symplectic four manifolds.\n  This work has been incorporated into arXiv:2506.23754v2 Section 3.3"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2507.13924","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.SG","submitted_at":"2025-07-18T13:59:00Z","cross_cats_sorted":["math.DS"],"title_canon_sha256":"34a9d813434118ca36d2d3d2ca60a993a2537f7171fae29f40bc5ecc61aca222","abstract_canon_sha256":"d17fe6067a6325b1ea514ff283cf5b8f78c5b590a9b8c7551e7c7180e8f6d515"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:53:05.421306Z","signature_b64":"/YKLHFsWYN5uW+w+lbqSd6ncnNs+kr+D06QhrOW7QndJjLItiD5EkMkNBWhZGptQv7IrVOaktahhtFhzUlZFCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50a2222952978f30fa07abde5a772083afcdfb004142e173ec801926a5a9997c","last_reissued_at":"2026-07-05T11:53:05.420878Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:53:05.420878Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"More counterexamples to Lagrangian Poincar\\'e recurrence in dimension four","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math.DS"],"primary_cat":"math.SG","authors_text":"Joel Schmitz","submitted_at":"2025-07-18T13:59:00Z","abstract_excerpt":"In earlier work, we constructed counterexamples to Lagrangian Poincar\\'e recurrence for many toric symplectic four manifolds. Here we provide a few more examples extending the family of counterexamples to include all non-monotone toric symplectic four manifolds.\n  This work has been incorporated into arXiv:2506.23754v2 Section 3.3"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.13924","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.13924/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2507.13924","created_at":"2026-07-05T11:53:05.420933+00:00"},{"alias_kind":"arxiv_version","alias_value":"2507.13924v2","created_at":"2026-07-05T11:53:05.420933+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.13924","created_at":"2026-07-05T11:53:05.420933+00:00"},{"alias_kind":"pith_short_12","alias_value":"KCRCEKKSS6HT","created_at":"2026-07-05T11:53:05.420933+00:00"},{"alias_kind":"pith_short_16","alias_value":"KCRCEKKSS6HTB6QH","created_at":"2026-07-05T11:53:05.420933+00:00"},{"alias_kind":"pith_short_8","alias_value":"KCRCEKKS","created_at":"2026-07-05T11:53:05.420933+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/KCRCEKKSS6HTB6QHVPPFU5ZAQO","json":"https://pith.science/pith/KCRCEKKSS6HTB6QHVPPFU5ZAQO.json","graph_json":"https://pith.science/api/pith-number/KCRCEKKSS6HTB6QHVPPFU5ZAQO/graph.json","events_json":"https://pith.science/api/pith-number/KCRCEKKSS6HTB6QHVPPFU5ZAQO/events.json","paper":"https://pith.science/paper/KCRCEKKS"},"agent_actions":{"view_html":"https://pith.science/pith/KCRCEKKSS6HTB6QHVPPFU5ZAQO","download_json":"https://pith.science/pith/KCRCEKKSS6HTB6QHVPPFU5ZAQO.json","view_paper":"https://pith.science/paper/KCRCEKKS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2507.13924&json=true","fetch_graph":"https://pith.science/api/pith-number/KCRCEKKSS6HTB6QHVPPFU5ZAQO/graph.json","fetch_events":"https://pith.science/api/pith-number/KCRCEKKSS6HTB6QHVPPFU5ZAQO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KCRCEKKSS6HTB6QHVPPFU5ZAQO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KCRCEKKSS6HTB6QHVPPFU5ZAQO/action/storage_attestation","attest_author":"https://pith.science/pith/KCRCEKKSS6HTB6QHVPPFU5ZAQO/action/author_attestation","sign_citation":"https://pith.science/pith/KCRCEKKSS6HTB6QHVPPFU5ZAQO/action/citation_signature","submit_replication":"https://pith.science/pith/KCRCEKKSS6HTB6QHVPPFU5ZAQO/action/replication_record"}},"created_at":"2026-07-05T11:53:05.420933+00:00","updated_at":"2026-07-05T11:53:05.420933+00:00"}