{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:GZCKKJ53DOOIQ4KFSVX3QDZQTK","short_pith_number":"pith:GZCKKJ53","schema_version":"1.0","canonical_sha256":"3644a527bb1b9c887145956fb80f309a8081ddd8b2ba32dfc157355dcae7cae7","source":{"kind":"arxiv","id":"1307.7235","version":3},"attestation_state":"computed","paper":{"title":"Categorification of Seidel's representation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Fran\\c{c}ois Charette, Octav Cornea","submitted_at":"2013-07-27T08:20:53Z","abstract_excerpt":"Two natural symplectic constructions, the Lagrangian suspension and Seidel's quantum representation of the fundamental group of the group of Hamiltonian diffeomorphisms, Ham(M), with (M,\\omega) a monotone symplectic manifold, admit categorifications as actions of the fundamental groupoid \\Pi(Ham(M)) on a cobordism category recently introduced in \\cite{Bi-Co:cob2} and, respectively, on a monotone variant of the derived Fukaya category. We show that the functor constructed in \\cite{Bi-Co:cob2} that maps the cobordism category to the derived Fukaya category is equivariant with respect to these ac"},"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":"1307.7235","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2013-07-27T08:20:53Z","cross_cats_sorted":[],"title_canon_sha256":"66e5547ec285e617d8116782a63ac3868dfd89691d112ff0c67786f7c8b7335c","abstract_canon_sha256":"c83108738d6210b03f5bce476b074a5093a1f1a65657d1d3716beb966b8f73b2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:32.402935Z","signature_b64":"eKcl+YfChojtXID3UMuWYlFEwLC22Pt9tDzM/prf8rfokl4Q/ltjkNwotH+WdR6df2BwaQanh5/7CnMkbes1AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3644a527bb1b9c887145956fb80f309a8081ddd8b2ba32dfc157355dcae7cae7","last_reissued_at":"2026-05-18T02:29:32.402425Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:32.402425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Categorification of Seidel's representation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.SG","authors_text":"Fran\\c{c}ois Charette, Octav Cornea","submitted_at":"2013-07-27T08:20:53Z","abstract_excerpt":"Two natural symplectic constructions, the Lagrangian suspension and Seidel's quantum representation of the fundamental group of the group of Hamiltonian diffeomorphisms, Ham(M), with (M,\\omega) a monotone symplectic manifold, admit categorifications as actions of the fundamental groupoid \\Pi(Ham(M)) on a cobordism category recently introduced in \\cite{Bi-Co:cob2} and, respectively, on a monotone variant of the derived Fukaya category. We show that the functor constructed in \\cite{Bi-Co:cob2} that maps the cobordism category to the derived Fukaya category is equivariant with respect to these ac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7235","kind":"arxiv","version":3},"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":"1307.7235","created_at":"2026-05-18T02:29:32.402509+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.7235v3","created_at":"2026-05-18T02:29:32.402509+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7235","created_at":"2026-05-18T02:29:32.402509+00:00"},{"alias_kind":"pith_short_12","alias_value":"GZCKKJ53DOOI","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_16","alias_value":"GZCKKJ53DOOIQ4KF","created_at":"2026-05-18T12:27:46.883200+00:00"},{"alias_kind":"pith_short_8","alias_value":"GZCKKJ53","created_at":"2026-05-18T12:27:46.883200+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/GZCKKJ53DOOIQ4KFSVX3QDZQTK","json":"https://pith.science/pith/GZCKKJ53DOOIQ4KFSVX3QDZQTK.json","graph_json":"https://pith.science/api/pith-number/GZCKKJ53DOOIQ4KFSVX3QDZQTK/graph.json","events_json":"https://pith.science/api/pith-number/GZCKKJ53DOOIQ4KFSVX3QDZQTK/events.json","paper":"https://pith.science/paper/GZCKKJ53"},"agent_actions":{"view_html":"https://pith.science/pith/GZCKKJ53DOOIQ4KFSVX3QDZQTK","download_json":"https://pith.science/pith/GZCKKJ53DOOIQ4KFSVX3QDZQTK.json","view_paper":"https://pith.science/paper/GZCKKJ53","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.7235&json=true","fetch_graph":"https://pith.science/api/pith-number/GZCKKJ53DOOIQ4KFSVX3QDZQTK/graph.json","fetch_events":"https://pith.science/api/pith-number/GZCKKJ53DOOIQ4KFSVX3QDZQTK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GZCKKJ53DOOIQ4KFSVX3QDZQTK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GZCKKJ53DOOIQ4KFSVX3QDZQTK/action/storage_attestation","attest_author":"https://pith.science/pith/GZCKKJ53DOOIQ4KFSVX3QDZQTK/action/author_attestation","sign_citation":"https://pith.science/pith/GZCKKJ53DOOIQ4KFSVX3QDZQTK/action/citation_signature","submit_replication":"https://pith.science/pith/GZCKKJ53DOOIQ4KFSVX3QDZQTK/action/replication_record"}},"created_at":"2026-05-18T02:29:32.402509+00:00","updated_at":"2026-05-18T02:29:32.402509+00:00"}