{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:JQ3NRELGJBWCS4REIBPJCFHSKW","short_pith_number":"pith:JQ3NRELG","schema_version":"1.0","canonical_sha256":"4c36d89166486c297224405e9114f255ac2d7fb3745b726553539a0b5d38566a","source":{"kind":"arxiv","id":"2312.14752","version":1},"attestation_state":"computed","paper":{"title":"Lagrangian Intersections and the spectral norm in convex-at-infinity symplectic manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Dylan Cant, Habib Alizadeh, Marcelo S. Atallah","submitted_at":"2023-12-22T15:07:57Z","abstract_excerpt":"Given a compact Lagrangian $L$ in a semipositive convex-at-infinity symplectic manifold $W$, we establish a cup-length estimate for the action values of $L$ associated to a Hamiltonian isotopy whose spectral norm is smaller than some $\\hbar(L)$. When $L$ is rational, this implies a cup-length estimate on the number of intersection points. This Chekanov-type result generalizes a theorem of Kislev and Shelukhin proving non-displaceability in the case when $W$ is closed and monotone. The method of proof is to deform the pair-of-pants product on Hamiltonian Floer cohomology using the Lagrangian $L"},"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":"2312.14752","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2023-12-22T15:07:57Z","cross_cats_sorted":[],"title_canon_sha256":"c0665c17c54e1f236891b37f216ca582eb5d460711e4b6c4e136f6562b1c0adb","abstract_canon_sha256":"57389787f4129dc8fda11cd83c38322bc6b0f8cfba71e5220efbcc68a312c843"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:27:19.453201Z","signature_b64":"7F+B5HlS7y4iIengEtH9WfQ3rkCxkAOUCbKR7CFhJY1N/1ytYyseosvp6NFNT/TN90lNOePdLcFpmz9tKQuZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4c36d89166486c297224405e9114f255ac2d7fb3745b726553539a0b5d38566a","last_reissued_at":"2026-07-05T07:27:19.452789Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:27:19.452789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lagrangian Intersections and the spectral norm in convex-at-infinity symplectic manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Dylan Cant, Habib Alizadeh, Marcelo S. Atallah","submitted_at":"2023-12-22T15:07:57Z","abstract_excerpt":"Given a compact Lagrangian $L$ in a semipositive convex-at-infinity symplectic manifold $W$, we establish a cup-length estimate for the action values of $L$ associated to a Hamiltonian isotopy whose spectral norm is smaller than some $\\hbar(L)$. When $L$ is rational, this implies a cup-length estimate on the number of intersection points. This Chekanov-type result generalizes a theorem of Kislev and Shelukhin proving non-displaceability in the case when $W$ is closed and monotone. The method of proof is to deform the pair-of-pants product on Hamiltonian Floer cohomology using the Lagrangian $L"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2312.14752","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2312.14752/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":"2312.14752","created_at":"2026-07-05T07:27:19.452853+00:00"},{"alias_kind":"arxiv_version","alias_value":"2312.14752v1","created_at":"2026-07-05T07:27:19.452853+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2312.14752","created_at":"2026-07-05T07:27:19.452853+00:00"},{"alias_kind":"pith_short_12","alias_value":"JQ3NRELGJBWC","created_at":"2026-07-05T07:27:19.452853+00:00"},{"alias_kind":"pith_short_16","alias_value":"JQ3NRELGJBWCS4RE","created_at":"2026-07-05T07:27:19.452853+00:00"},{"alias_kind":"pith_short_8","alias_value":"JQ3NRELG","created_at":"2026-07-05T07:27:19.452853+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2504.15207","citing_title":"Parametric Gromov width of Liouville domains","ref_index":1,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/JQ3NRELGJBWCS4REIBPJCFHSKW","json":"https://pith.science/pith/JQ3NRELGJBWCS4REIBPJCFHSKW.json","graph_json":"https://pith.science/api/pith-number/JQ3NRELGJBWCS4REIBPJCFHSKW/graph.json","events_json":"https://pith.science/api/pith-number/JQ3NRELGJBWCS4REIBPJCFHSKW/events.json","paper":"https://pith.science/paper/JQ3NRELG"},"agent_actions":{"view_html":"https://pith.science/pith/JQ3NRELGJBWCS4REIBPJCFHSKW","download_json":"https://pith.science/pith/JQ3NRELGJBWCS4REIBPJCFHSKW.json","view_paper":"https://pith.science/paper/JQ3NRELG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2312.14752&json=true","fetch_graph":"https://pith.science/api/pith-number/JQ3NRELGJBWCS4REIBPJCFHSKW/graph.json","fetch_events":"https://pith.science/api/pith-number/JQ3NRELGJBWCS4REIBPJCFHSKW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/JQ3NRELGJBWCS4REIBPJCFHSKW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/JQ3NRELGJBWCS4REIBPJCFHSKW/action/storage_attestation","attest_author":"https://pith.science/pith/JQ3NRELGJBWCS4REIBPJCFHSKW/action/author_attestation","sign_citation":"https://pith.science/pith/JQ3NRELGJBWCS4REIBPJCFHSKW/action/citation_signature","submit_replication":"https://pith.science/pith/JQ3NRELGJBWCS4REIBPJCFHSKW/action/replication_record"}},"created_at":"2026-07-05T07:27:19.452853+00:00","updated_at":"2026-07-05T07:27:19.452853+00:00"}