{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:M36MA72BBY2M4ZWKMCC2DQOXFI","short_pith_number":"pith:M36MA72B","schema_version":"1.0","canonical_sha256":"66fcc07f410e34ce66ca6085a1c1d72a32a46aef8fabb2afb6a86a1e66c83e4b","source":{"kind":"arxiv","id":"1412.2488","version":2},"attestation_state":"computed","paper":{"title":"Convexity for Hamiltonian torus actions on $b$-symplectic manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.SG","authors_text":"Ana Rita Pires, Eva Miranda, Geoffrey Scott, Victor Guillemin","submitted_at":"2014-12-08T09:14:40Z","abstract_excerpt":"In [GMPS] we proved that the moment map image of a $b$-symplectic toric manifold is a convex $b$-polytope. In this paper we obtain convexity results for the more general case of non-toric hamiltonian torus actions on $b$-symplectic manifolds. The modular weights of the action on the connected components of the exceptional hypersurface play a fundamental role: either they are all zero and the moment map behaves as in classic symplectic one, or they are all nonzero and the moment map behaves as in the toric $b$-symplectic case studied in [GMPS]."},"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":"1412.2488","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-12-08T09:14:40Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"b2cc0aa5a58b400e98a8d6a65c6ed50a69a55da3861e5d510f88cd41208707c9","abstract_canon_sha256":"274cf00facae6867dbe50e2a94a34c8897b5a1474ab0b4315447bf8032e090e7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:57.540959Z","signature_b64":"q8fOXcbZlUKT5FoP/mdCEMbUNaRvTq/sQedxakPQ8d4UIUm/tlcObB0j+2FccRPF4h6hsBsoa4t09fI2K+ifBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"66fcc07f410e34ce66ca6085a1c1d72a32a46aef8fabb2afb6a86a1e66c83e4b","last_reissued_at":"2026-05-18T00:23:57.540283Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:57.540283Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Convexity for Hamiltonian torus actions on $b$-symplectic manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.SG","authors_text":"Ana Rita Pires, Eva Miranda, Geoffrey Scott, Victor Guillemin","submitted_at":"2014-12-08T09:14:40Z","abstract_excerpt":"In [GMPS] we proved that the moment map image of a $b$-symplectic toric manifold is a convex $b$-polytope. In this paper we obtain convexity results for the more general case of non-toric hamiltonian torus actions on $b$-symplectic manifolds. The modular weights of the action on the connected components of the exceptional hypersurface play a fundamental role: either they are all zero and the moment map behaves as in classic symplectic one, or they are all nonzero and the moment map behaves as in the toric $b$-symplectic case studied in [GMPS]."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.2488","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":""},"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":"1412.2488","created_at":"2026-05-18T00:23:57.540399+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.2488v2","created_at":"2026-05-18T00:23:57.540399+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.2488","created_at":"2026-05-18T00:23:57.540399+00:00"},{"alias_kind":"pith_short_12","alias_value":"M36MA72BBY2M","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"M36MA72BBY2M4ZWK","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"M36MA72B","created_at":"2026-05-18T12:28:38.356838+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/M36MA72BBY2M4ZWKMCC2DQOXFI","json":"https://pith.science/pith/M36MA72BBY2M4ZWKMCC2DQOXFI.json","graph_json":"https://pith.science/api/pith-number/M36MA72BBY2M4ZWKMCC2DQOXFI/graph.json","events_json":"https://pith.science/api/pith-number/M36MA72BBY2M4ZWKMCC2DQOXFI/events.json","paper":"https://pith.science/paper/M36MA72B"},"agent_actions":{"view_html":"https://pith.science/pith/M36MA72BBY2M4ZWKMCC2DQOXFI","download_json":"https://pith.science/pith/M36MA72BBY2M4ZWKMCC2DQOXFI.json","view_paper":"https://pith.science/paper/M36MA72B","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.2488&json=true","fetch_graph":"https://pith.science/api/pith-number/M36MA72BBY2M4ZWKMCC2DQOXFI/graph.json","fetch_events":"https://pith.science/api/pith-number/M36MA72BBY2M4ZWKMCC2DQOXFI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/M36MA72BBY2M4ZWKMCC2DQOXFI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/M36MA72BBY2M4ZWKMCC2DQOXFI/action/storage_attestation","attest_author":"https://pith.science/pith/M36MA72BBY2M4ZWKMCC2DQOXFI/action/author_attestation","sign_citation":"https://pith.science/pith/M36MA72BBY2M4ZWKMCC2DQOXFI/action/citation_signature","submit_replication":"https://pith.science/pith/M36MA72BBY2M4ZWKMCC2DQOXFI/action/replication_record"}},"created_at":"2026-05-18T00:23:57.540399+00:00","updated_at":"2026-05-18T00:23:57.540399+00:00"}