{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:EEWG5RXPO2B44QUTAJMONSFT74","short_pith_number":"pith:EEWG5RXP","schema_version":"1.0","canonical_sha256":"212c6ec6ef7683ce42930258e6c8b3ff1f89708998752ff2645db8ce3e4e55c3","source":{"kind":"arxiv","id":"1308.6788","version":3},"attestation_state":"computed","paper":{"title":"Donagi-Markman cubic for the generalised Hitchin system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Peter Dalakov, Ugo Bruzzo","submitted_at":"2013-08-30T16:29:04Z","abstract_excerpt":"Donagi and Markman (1993) have shown that the infinitesimal period map for an algebraic completely integrable Hamiltonian system is encoded in a section of the third symmetric power of the cotangent bundle to the base of the system. For the ordinary Hitchin system the cubic is given by a formula of Balduzzi and Pantev. We prove that the Balduzzi--Pantev formula holds along maximal rank symplectic leaves of the G-generalised Hitchin system."},"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":"1308.6788","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2013-08-30T16:29:04Z","cross_cats_sorted":["math.SG"],"title_canon_sha256":"9550f3334c6e9b0c0b55a6dee4db17440972dca2b17ffd8871e23251680bef28","abstract_canon_sha256":"c43d23b64ab198643bd3e2d5ff7207f2413f146ebad8fc79dc7bb6d025611e42"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:54:21.316577Z","signature_b64":"Y4DvhmUvLUz/le423uS/LSvRFHQBmGG740LDr/8ovTtpyfr+Gb7DEFYMv3f8cLGSG8Ysf/30pbVNOD4srjXpAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"212c6ec6ef7683ce42930258e6c8b3ff1f89708998752ff2645db8ce3e4e55c3","last_reissued_at":"2026-05-18T02:54:21.316141Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:54:21.316141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Donagi-Markman cubic for the generalised Hitchin system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.SG"],"primary_cat":"math.AG","authors_text":"Peter Dalakov, Ugo Bruzzo","submitted_at":"2013-08-30T16:29:04Z","abstract_excerpt":"Donagi and Markman (1993) have shown that the infinitesimal period map for an algebraic completely integrable Hamiltonian system is encoded in a section of the third symmetric power of the cotangent bundle to the base of the system. For the ordinary Hitchin system the cubic is given by a formula of Balduzzi and Pantev. We prove that the Balduzzi--Pantev formula holds along maximal rank symplectic leaves of the G-generalised Hitchin system."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6788","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":"1308.6788","created_at":"2026-05-18T02:54:21.316215+00:00"},{"alias_kind":"arxiv_version","alias_value":"1308.6788v3","created_at":"2026-05-18T02:54:21.316215+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6788","created_at":"2026-05-18T02:54:21.316215+00:00"},{"alias_kind":"pith_short_12","alias_value":"EEWG5RXPO2B4","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"EEWG5RXPO2B44QUT","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"EEWG5RXP","created_at":"2026-05-18T12:27:43.054852+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/EEWG5RXPO2B44QUTAJMONSFT74","json":"https://pith.science/pith/EEWG5RXPO2B44QUTAJMONSFT74.json","graph_json":"https://pith.science/api/pith-number/EEWG5RXPO2B44QUTAJMONSFT74/graph.json","events_json":"https://pith.science/api/pith-number/EEWG5RXPO2B44QUTAJMONSFT74/events.json","paper":"https://pith.science/paper/EEWG5RXP"},"agent_actions":{"view_html":"https://pith.science/pith/EEWG5RXPO2B44QUTAJMONSFT74","download_json":"https://pith.science/pith/EEWG5RXPO2B44QUTAJMONSFT74.json","view_paper":"https://pith.science/paper/EEWG5RXP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1308.6788&json=true","fetch_graph":"https://pith.science/api/pith-number/EEWG5RXPO2B44QUTAJMONSFT74/graph.json","fetch_events":"https://pith.science/api/pith-number/EEWG5RXPO2B44QUTAJMONSFT74/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/EEWG5RXPO2B44QUTAJMONSFT74/action/timestamp_anchor","attest_storage":"https://pith.science/pith/EEWG5RXPO2B44QUTAJMONSFT74/action/storage_attestation","attest_author":"https://pith.science/pith/EEWG5RXPO2B44QUTAJMONSFT74/action/author_attestation","sign_citation":"https://pith.science/pith/EEWG5RXPO2B44QUTAJMONSFT74/action/citation_signature","submit_replication":"https://pith.science/pith/EEWG5RXPO2B44QUTAJMONSFT74/action/replication_record"}},"created_at":"2026-05-18T02:54:21.316215+00:00","updated_at":"2026-05-18T02:54:21.316215+00:00"}