{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:TKJCAQT6YESUOF5NQS7WGTFQCE","short_pith_number":"pith:TKJCAQT6","schema_version":"1.0","canonical_sha256":"9a9220427ec1254717ad84bf634cb0113a15e3eb269224558e0c4d736924f0b6","source":{"kind":"arxiv","id":"1111.4125","version":4},"attestation_state":"computed","paper":{"title":"Symplectic half-flat solvmanifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Antonio Otal, Luis Ugarte, Marisa Fern\\'andez, V\\'ictor Manero","submitted_at":"2011-11-17T15:20:09Z","abstract_excerpt":"We classify solvable Lie groups admitting left invariant symplectic half-flat structure. When the Lie group has a compact quotient by a lattice, we show that these structures provide solutions of supersymmetric equations of type IIA."},"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":"1111.4125","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-11-17T15:20:09Z","cross_cats_sorted":[],"title_canon_sha256":"f12f96e909b84c4173e354690abb029e8110310cd61d2afa74167f28796f8d30","abstract_canon_sha256":"dc8e68f59f282777f5b369b9a01a7378b28969d9f0a1d4be439bbc5b8988a0fe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:50:21.955364Z","signature_b64":"0aDxQtgyCL2Poy6AAGpPgLAEr3Jyqg2BsmV5vbr/tg+zwQcPFOB/UYxfOQecA9j4APQq1YZta4ZqzkIpYYDlBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a9220427ec1254717ad84bf634cb0113a15e3eb269224558e0c4d736924f0b6","last_reissued_at":"2026-05-18T03:50:21.954441Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:50:21.954441Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Symplectic half-flat solvmanifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Antonio Otal, Luis Ugarte, Marisa Fern\\'andez, V\\'ictor Manero","submitted_at":"2011-11-17T15:20:09Z","abstract_excerpt":"We classify solvable Lie groups admitting left invariant symplectic half-flat structure. When the Lie group has a compact quotient by a lattice, we show that these structures provide solutions of supersymmetric equations of type IIA."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.4125","kind":"arxiv","version":4},"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":"1111.4125","created_at":"2026-05-18T03:50:21.954598+00:00"},{"alias_kind":"arxiv_version","alias_value":"1111.4125v4","created_at":"2026-05-18T03:50:21.954598+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.4125","created_at":"2026-05-18T03:50:21.954598+00:00"},{"alias_kind":"pith_short_12","alias_value":"TKJCAQT6YESU","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_16","alias_value":"TKJCAQT6YESUOF5N","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_8","alias_value":"TKJCAQT6","created_at":"2026-05-18T12:26:42.757692+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/TKJCAQT6YESUOF5NQS7WGTFQCE","json":"https://pith.science/pith/TKJCAQT6YESUOF5NQS7WGTFQCE.json","graph_json":"https://pith.science/api/pith-number/TKJCAQT6YESUOF5NQS7WGTFQCE/graph.json","events_json":"https://pith.science/api/pith-number/TKJCAQT6YESUOF5NQS7WGTFQCE/events.json","paper":"https://pith.science/paper/TKJCAQT6"},"agent_actions":{"view_html":"https://pith.science/pith/TKJCAQT6YESUOF5NQS7WGTFQCE","download_json":"https://pith.science/pith/TKJCAQT6YESUOF5NQS7WGTFQCE.json","view_paper":"https://pith.science/paper/TKJCAQT6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1111.4125&json=true","fetch_graph":"https://pith.science/api/pith-number/TKJCAQT6YESUOF5NQS7WGTFQCE/graph.json","fetch_events":"https://pith.science/api/pith-number/TKJCAQT6YESUOF5NQS7WGTFQCE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TKJCAQT6YESUOF5NQS7WGTFQCE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TKJCAQT6YESUOF5NQS7WGTFQCE/action/storage_attestation","attest_author":"https://pith.science/pith/TKJCAQT6YESUOF5NQS7WGTFQCE/action/author_attestation","sign_citation":"https://pith.science/pith/TKJCAQT6YESUOF5NQS7WGTFQCE/action/citation_signature","submit_replication":"https://pith.science/pith/TKJCAQT6YESUOF5NQS7WGTFQCE/action/replication_record"}},"created_at":"2026-05-18T03:50:21.954598+00:00","updated_at":"2026-05-18T03:50:21.954598+00:00"}