{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:MQJA3BLBCOA47WTJOT6BYLNIWA","short_pith_number":"pith:MQJA3BLB","schema_version":"1.0","canonical_sha256":"64120d85611381cfda6974fc1c2da8b00638d5d1d9f8ac1a3529b89e2f787565","source":{"kind":"arxiv","id":"1409.0695","version":1},"attestation_state":"computed","paper":{"title":"Poly-symplectic groupoids and poly-Poisson structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.SG","authors_text":"Nicolas Martinez Alba","submitted_at":"2014-09-02T13:08:07Z","abstract_excerpt":"We introduce poly-symplectic groupoids, which are natural extensions of symplectic groupoids to the context of poly-symplectic geometry, and define poly-Poisson structures as their infinitesimal counterparts. We present equivalent descriptions of poly-Poisson structures, including one related with AV-Dirac structures. We also discuss symmetries and reduction in the setting of poly-symplectic groupoids and poly-Poisson structures, and use our viewpoint to revisit results and develop new aspects of the theory initiated by D.Iglesias, J.C Marrero and M. Vaquero."},"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":"1409.0695","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.SG","submitted_at":"2014-09-02T13:08:07Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"565d51d6875cc2a17a3734d23655ae39462d3f2ad1c48581d03c9b819e2b94fd","abstract_canon_sha256":"9e725c56c30b937158c4d4e224296df102434c33e2d4ce468d8411b0f05f48bc"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:46.331767Z","signature_b64":"UnEK5XZHWUaLnqeIMbx+S3yu/wQihvc38bhbAmxTVWU44cw/EnIXkI9L4la5eIs4wcLExKy2XX/6cayir9IJAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"64120d85611381cfda6974fc1c2da8b00638d5d1d9f8ac1a3529b89e2f787565","last_reissued_at":"2026-05-18T02:43:46.331391Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:46.331391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Poly-symplectic groupoids and poly-Poisson structures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.SG","authors_text":"Nicolas Martinez Alba","submitted_at":"2014-09-02T13:08:07Z","abstract_excerpt":"We introduce poly-symplectic groupoids, which are natural extensions of symplectic groupoids to the context of poly-symplectic geometry, and define poly-Poisson structures as their infinitesimal counterparts. We present equivalent descriptions of poly-Poisson structures, including one related with AV-Dirac structures. We also discuss symmetries and reduction in the setting of poly-symplectic groupoids and poly-Poisson structures, and use our viewpoint to revisit results and develop new aspects of the theory initiated by D.Iglesias, J.C Marrero and M. Vaquero."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0695","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":"1409.0695","created_at":"2026-05-18T02:43:46.331452+00:00"},{"alias_kind":"arxiv_version","alias_value":"1409.0695v1","created_at":"2026-05-18T02:43:46.331452+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0695","created_at":"2026-05-18T02:43:46.331452+00:00"},{"alias_kind":"pith_short_12","alias_value":"MQJA3BLBCOA4","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_16","alias_value":"MQJA3BLBCOA47WTJ","created_at":"2026-05-18T12:28:38.356838+00:00"},{"alias_kind":"pith_short_8","alias_value":"MQJA3BLB","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/MQJA3BLBCOA47WTJOT6BYLNIWA","json":"https://pith.science/pith/MQJA3BLBCOA47WTJOT6BYLNIWA.json","graph_json":"https://pith.science/api/pith-number/MQJA3BLBCOA47WTJOT6BYLNIWA/graph.json","events_json":"https://pith.science/api/pith-number/MQJA3BLBCOA47WTJOT6BYLNIWA/events.json","paper":"https://pith.science/paper/MQJA3BLB"},"agent_actions":{"view_html":"https://pith.science/pith/MQJA3BLBCOA47WTJOT6BYLNIWA","download_json":"https://pith.science/pith/MQJA3BLBCOA47WTJOT6BYLNIWA.json","view_paper":"https://pith.science/paper/MQJA3BLB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1409.0695&json=true","fetch_graph":"https://pith.science/api/pith-number/MQJA3BLBCOA47WTJOT6BYLNIWA/graph.json","fetch_events":"https://pith.science/api/pith-number/MQJA3BLBCOA47WTJOT6BYLNIWA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MQJA3BLBCOA47WTJOT6BYLNIWA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MQJA3BLBCOA47WTJOT6BYLNIWA/action/storage_attestation","attest_author":"https://pith.science/pith/MQJA3BLBCOA47WTJOT6BYLNIWA/action/author_attestation","sign_citation":"https://pith.science/pith/MQJA3BLBCOA47WTJOT6BYLNIWA/action/citation_signature","submit_replication":"https://pith.science/pith/MQJA3BLBCOA47WTJOT6BYLNIWA/action/replication_record"}},"created_at":"2026-05-18T02:43:46.331452+00:00","updated_at":"2026-05-18T02:43:46.331452+00:00"}