{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:MKKC7YGZ3K3FAMXTK7WU3GZLIH","short_pith_number":"pith:MKKC7YGZ","schema_version":"1.0","canonical_sha256":"62942fe0d9dab65032f357ed4d9b2b41d1a52d9ea264e7dd0a5ec780a8424b08","source":{"kind":"arxiv","id":"2601.13455","version":1},"attestation_state":"computed","paper":{"title":"From multiplicative to additive geometry: Deformation theory and 2D TQFT","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.SG","authors_text":"Mohamed Moussadek Maiza","submitted_at":"2026-01-19T23:17:08Z","abstract_excerpt":"In this paper, we present a theory of Poisson deformation of Hamiltonian quasi-Poisson manifolds to Hamiltonian Poisson manifolds that include degenerate cases. More significantly, this theory extends to singular cases arising from symplectic implosion: we introduce a generalized Hamiltonian deformation theory and we show that the imploded cross section of the double $D(G)_\\imp$ deforms to the implosion of the cotangent bundle $T^*G_\\imp$ with applications to the master moduli space of $G$-flat connections.\\\\ In parallel, we construct a topological quantum field theory $\\N: \\text{Cob}_{2}\\to \\"},"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":"2601.13455","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.SG","submitted_at":"2026-01-19T23:17:08Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"caa840fb903ae7281c761e8d0d71bb26d3612bef7b1af0ee93c1bd60479bb310","abstract_canon_sha256":"3843de2d79fe38086875a3dd85a55c72085ef365dcdf9d1fe1fc590094d96805"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-29T01:25:33.460013Z","signature_b64":"Mz4e0yoM1WUatgkPiJ2fAOlGdiJbldTJJdEQ4JOa8Cky3SPalfjbjw2ctZD0HjdHVZ5A1xr5YqnVwLqkELVxBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"62942fe0d9dab65032f357ed4d9b2b41d1a52d9ea264e7dd0a5ec780a8424b08","last_reissued_at":"2026-07-29T01:25:33.458967Z","signature_status":"signed_v1","first_computed_at":"2026-07-29T01:25:33.458967Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From multiplicative to additive geometry: Deformation theory and 2D TQFT","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.SG","authors_text":"Mohamed Moussadek Maiza","submitted_at":"2026-01-19T23:17:08Z","abstract_excerpt":"In this paper, we present a theory of Poisson deformation of Hamiltonian quasi-Poisson manifolds to Hamiltonian Poisson manifolds that include degenerate cases. More significantly, this theory extends to singular cases arising from symplectic implosion: we introduce a generalized Hamiltonian deformation theory and we show that the imploded cross section of the double $D(G)_\\imp$ deforms to the implosion of the cotangent bundle $T^*G_\\imp$ with applications to the master moduli space of $G$-flat connections.\\\\ In parallel, we construct a topological quantum field theory $\\N: \\text{Cob}_{2}\\to \\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2601.13455","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/2601.13455/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":"2601.13455","created_at":"2026-07-29T01:25:33.459438+00:00"},{"alias_kind":"arxiv_version","alias_value":"2601.13455v1","created_at":"2026-07-29T01:25:33.459438+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2601.13455","created_at":"2026-07-29T01:25:33.459438+00:00"},{"alias_kind":"pith_short_12","alias_value":"MKKC7YGZ3K3F","created_at":"2026-07-29T01:25:33.459438+00:00"},{"alias_kind":"pith_short_16","alias_value":"MKKC7YGZ3K3FAMXT","created_at":"2026-07-29T01:25:33.459438+00:00"},{"alias_kind":"pith_short_8","alias_value":"MKKC7YGZ","created_at":"2026-07-29T01:25:33.459438+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.23369","citing_title":"Quasi-Poisson varieties from double quasi-Poisson algebras in types $B,C,D$","ref_index":21,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MKKC7YGZ3K3FAMXTK7WU3GZLIH","json":"https://pith.science/pith/MKKC7YGZ3K3FAMXTK7WU3GZLIH.json","graph_json":"https://pith.science/api/pith-number/MKKC7YGZ3K3FAMXTK7WU3GZLIH/graph.json","events_json":"https://pith.science/api/pith-number/MKKC7YGZ3K3FAMXTK7WU3GZLIH/events.json","paper":"https://pith.science/paper/MKKC7YGZ"},"agent_actions":{"view_html":"https://pith.science/pith/MKKC7YGZ3K3FAMXTK7WU3GZLIH","download_json":"https://pith.science/pith/MKKC7YGZ3K3FAMXTK7WU3GZLIH.json","view_paper":"https://pith.science/paper/MKKC7YGZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2601.13455&json=true","fetch_graph":"https://pith.science/api/pith-number/MKKC7YGZ3K3FAMXTK7WU3GZLIH/graph.json","fetch_events":"https://pith.science/api/pith-number/MKKC7YGZ3K3FAMXTK7WU3GZLIH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MKKC7YGZ3K3FAMXTK7WU3GZLIH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MKKC7YGZ3K3FAMXTK7WU3GZLIH/action/storage_attestation","attest_author":"https://pith.science/pith/MKKC7YGZ3K3FAMXTK7WU3GZLIH/action/author_attestation","sign_citation":"https://pith.science/pith/MKKC7YGZ3K3FAMXTK7WU3GZLIH/action/citation_signature","submit_replication":"https://pith.science/pith/MKKC7YGZ3K3FAMXTK7WU3GZLIH/action/replication_record"}},"created_at":"2026-07-29T01:25:33.459438+00:00","updated_at":"2026-07-29T01:25:33.459438+00:00"}