{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:W736QTB4ZB2UOA74AT35W7IHP6","short_pith_number":"pith:W736QTB4","schema_version":"1.0","canonical_sha256":"b7f7e84c3cc8754703fc04f7db7d077fbe210fd39e927d7c055f34416c1aea05","source":{"kind":"arxiv","id":"1106.4947","version":1},"attestation_state":"computed","paper":{"title":"Einstein four-manifolds with skew torsion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Ana Cristina Ferreira","submitted_at":"2011-06-24T12:10:41Z","abstract_excerpt":"We develop a notion of Einstein manifolds with skew torsion on compact, orientable Riemannian manifolds of dimension four. We prove an analogue of the Hitchin-Thorpe inequality and study the case of equality. We use the link with self-duality to study the moduli space of 1-instantons on the 4-sphere for a family of metrics defined by Bonneau."},"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":"1106.4947","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-06-24T12:10:41Z","cross_cats_sorted":[],"title_canon_sha256":"9f26f5d5069811744d857e8537eeed10f1d1b300d83419c96d1e250425df326b","abstract_canon_sha256":"0ccd59fe90708b5b5fb0274042ce7059d82e1b43715af4b90ff854c8eaa6fb34"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:31.128518Z","signature_b64":"uK6MD5ifHw0kdVlXWVk2GdzZlkMbqZpVTJGbiMpJxvF45XhPD3djkKgo/SyxPXR5KyrpcCfvYTKXQCGhwJcqBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7f7e84c3cc8754703fc04f7db7d077fbe210fd39e927d7c055f34416c1aea05","last_reissued_at":"2026-05-18T02:01:31.127983Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:31.127983Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Einstein four-manifolds with skew torsion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Ana Cristina Ferreira","submitted_at":"2011-06-24T12:10:41Z","abstract_excerpt":"We develop a notion of Einstein manifolds with skew torsion on compact, orientable Riemannian manifolds of dimension four. We prove an analogue of the Hitchin-Thorpe inequality and study the case of equality. We use the link with self-duality to study the moduli space of 1-instantons on the 4-sphere for a family of metrics defined by Bonneau."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4947","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":"1106.4947","created_at":"2026-05-18T02:01:31.128069+00:00"},{"alias_kind":"arxiv_version","alias_value":"1106.4947v1","created_at":"2026-05-18T02:01:31.128069+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4947","created_at":"2026-05-18T02:01:31.128069+00:00"},{"alias_kind":"pith_short_12","alias_value":"W736QTB4ZB2U","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_16","alias_value":"W736QTB4ZB2UOA74","created_at":"2026-05-18T12:26:44.992195+00:00"},{"alias_kind":"pith_short_8","alias_value":"W736QTB4","created_at":"2026-05-18T12:26:44.992195+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/W736QTB4ZB2UOA74AT35W7IHP6","json":"https://pith.science/pith/W736QTB4ZB2UOA74AT35W7IHP6.json","graph_json":"https://pith.science/api/pith-number/W736QTB4ZB2UOA74AT35W7IHP6/graph.json","events_json":"https://pith.science/api/pith-number/W736QTB4ZB2UOA74AT35W7IHP6/events.json","paper":"https://pith.science/paper/W736QTB4"},"agent_actions":{"view_html":"https://pith.science/pith/W736QTB4ZB2UOA74AT35W7IHP6","download_json":"https://pith.science/pith/W736QTB4ZB2UOA74AT35W7IHP6.json","view_paper":"https://pith.science/paper/W736QTB4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1106.4947&json=true","fetch_graph":"https://pith.science/api/pith-number/W736QTB4ZB2UOA74AT35W7IHP6/graph.json","fetch_events":"https://pith.science/api/pith-number/W736QTB4ZB2UOA74AT35W7IHP6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/W736QTB4ZB2UOA74AT35W7IHP6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/W736QTB4ZB2UOA74AT35W7IHP6/action/storage_attestation","attest_author":"https://pith.science/pith/W736QTB4ZB2UOA74AT35W7IHP6/action/author_attestation","sign_citation":"https://pith.science/pith/W736QTB4ZB2UOA74AT35W7IHP6/action/citation_signature","submit_replication":"https://pith.science/pith/W736QTB4ZB2UOA74AT35W7IHP6/action/replication_record"}},"created_at":"2026-05-18T02:01:31.128069+00:00","updated_at":"2026-05-18T02:01:31.128069+00:00"}