{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:2MY4TR6YZBYOML5UYQVZVEIUMN","short_pith_number":"pith:2MY4TR6Y","schema_version":"1.0","canonical_sha256":"d331c9c7d8c870e62fb4c42b9a91146346491a95232f048b18f3a672eac54d1b","source":{"kind":"arxiv","id":"1307.6766","version":1},"attestation_state":"computed","paper":{"title":"An integer optimization problem for non-Hamiltonian periodic flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"\\'Alvaro Pelayo, Silvia Sabatini","submitted_at":"2013-07-25T14:59:05Z","abstract_excerpt":"Let C be the class of compact 2n-dimensional symplectic manifolds M for which the first or (n-1) Chern class vanish. We point out an integer optimization problem to find a lower bound B(n) on the number of equilibrium points of non-Hamiltonian symplectic periodic flows on manifolds M in C. As a consequence, we confirm in dimensions 2n in {8,10,12,14,18,20, 22} a conjecture for unitary manifolds made by Kosniowski in 1979 for the subclass C."},"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":"1307.6766","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-07-25T14:59:05Z","cross_cats_sorted":[],"title_canon_sha256":"364c5be25e3b2c0db5fa18949ee6e6c9c206a002d4b5f7a9b2f8db9449f07f46","abstract_canon_sha256":"efa01eff1823836c49ee96fe480aaff0db6780b007b674ff5edba8c3f40b73c3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:17:34.722999Z","signature_b64":"WfnEFQTHNsXid4vef1aTCdc5tNruet/ZSWgXQQF8Ium1i7++jh3UcNLxaZ7o7dA/s3H94FAwbRB6KfJiYr5+Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d331c9c7d8c870e62fb4c42b9a91146346491a95232f048b18f3a672eac54d1b","last_reissued_at":"2026-05-18T03:17:34.722468Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:17:34.722468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An integer optimization problem for non-Hamiltonian periodic flows","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"\\'Alvaro Pelayo, Silvia Sabatini","submitted_at":"2013-07-25T14:59:05Z","abstract_excerpt":"Let C be the class of compact 2n-dimensional symplectic manifolds M for which the first or (n-1) Chern class vanish. We point out an integer optimization problem to find a lower bound B(n) on the number of equilibrium points of non-Hamiltonian symplectic periodic flows on manifolds M in C. As a consequence, we confirm in dimensions 2n in {8,10,12,14,18,20, 22} a conjecture for unitary manifolds made by Kosniowski in 1979 for the subclass C."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6766","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":""},"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":"1307.6766","created_at":"2026-05-18T03:17:34.722557+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.6766v1","created_at":"2026-05-18T03:17:34.722557+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.6766","created_at":"2026-05-18T03:17:34.722557+00:00"},{"alias_kind":"pith_short_12","alias_value":"2MY4TR6YZBYO","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_16","alias_value":"2MY4TR6YZBYOML5U","created_at":"2026-05-18T12:27:32.513160+00:00"},{"alias_kind":"pith_short_8","alias_value":"2MY4TR6Y","created_at":"2026-05-18T12:27:32.513160+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/2MY4TR6YZBYOML5UYQVZVEIUMN","json":"https://pith.science/pith/2MY4TR6YZBYOML5UYQVZVEIUMN.json","graph_json":"https://pith.science/api/pith-number/2MY4TR6YZBYOML5UYQVZVEIUMN/graph.json","events_json":"https://pith.science/api/pith-number/2MY4TR6YZBYOML5UYQVZVEIUMN/events.json","paper":"https://pith.science/paper/2MY4TR6Y"},"agent_actions":{"view_html":"https://pith.science/pith/2MY4TR6YZBYOML5UYQVZVEIUMN","download_json":"https://pith.science/pith/2MY4TR6YZBYOML5UYQVZVEIUMN.json","view_paper":"https://pith.science/paper/2MY4TR6Y","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.6766&json=true","fetch_graph":"https://pith.science/api/pith-number/2MY4TR6YZBYOML5UYQVZVEIUMN/graph.json","fetch_events":"https://pith.science/api/pith-number/2MY4TR6YZBYOML5UYQVZVEIUMN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2MY4TR6YZBYOML5UYQVZVEIUMN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2MY4TR6YZBYOML5UYQVZVEIUMN/action/storage_attestation","attest_author":"https://pith.science/pith/2MY4TR6YZBYOML5UYQVZVEIUMN/action/author_attestation","sign_citation":"https://pith.science/pith/2MY4TR6YZBYOML5UYQVZVEIUMN/action/citation_signature","submit_replication":"https://pith.science/pith/2MY4TR6YZBYOML5UYQVZVEIUMN/action/replication_record"}},"created_at":"2026-05-18T03:17:34.722557+00:00","updated_at":"2026-05-18T03:17:34.722557+00:00"}