{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:QMVWFG45BVCSBDHP6OCEQXNNLO","short_pith_number":"pith:QMVWFG45","schema_version":"1.0","canonical_sha256":"832b629b9d0d45208ceff384485dad5bbcbdcae2a47d1b720ce403d8ceaf6a56","source":{"kind":"arxiv","id":"1303.7444","version":1},"attestation_state":"computed","paper":{"title":"Cocalibrated G_2-manifolds with Ricci flat characteristic connection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Thomas Friedrich","submitted_at":"2013-03-29T17:34:57Z","abstract_excerpt":"Any 7-dimensional cocalibrated G_2-manifold admits a unique connection $\\nabla$ with skew symmetric torsion. We study these manifolds under the additional condition that the $\\nabla$-Ricci tensor vanishes. In particular, we describe their geometry in case of a maximal number of $\\nabla$-parallel vector fields."},"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":"1303.7444","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-03-29T17:34:57Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"16c8c9a3c658fbd22dfdb9e5d987bc644c0b4a0af718500bc1e134e4b838b225","abstract_canon_sha256":"3f148fea62fbbb4a2c151af743f7da0a61d05a3008a1bd0d17839ab18f9f685a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:28.390013Z","signature_b64":"1i80ecYcDSOUX23z9pI5aEnnroYauPUzN60OgAUHisaeyXmmrc0cHhiQWaUFfBoOip0LMBZvy3Dvon1dUgExAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"832b629b9d0d45208ceff384485dad5bbcbdcae2a47d1b720ce403d8ceaf6a56","last_reissued_at":"2026-05-18T03:29:28.389361Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:28.389361Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cocalibrated G_2-manifolds with Ricci flat characteristic connection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Thomas Friedrich","submitted_at":"2013-03-29T17:34:57Z","abstract_excerpt":"Any 7-dimensional cocalibrated G_2-manifold admits a unique connection $\\nabla$ with skew symmetric torsion. We study these manifolds under the additional condition that the $\\nabla$-Ricci tensor vanishes. In particular, we describe their geometry in case of a maximal number of $\\nabla$-parallel vector fields."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.7444","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":"1303.7444","created_at":"2026-05-18T03:29:28.389463+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.7444v1","created_at":"2026-05-18T03:29:28.389463+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.7444","created_at":"2026-05-18T03:29:28.389463+00:00"},{"alias_kind":"pith_short_12","alias_value":"QMVWFG45BVCS","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_16","alias_value":"QMVWFG45BVCSBDHP","created_at":"2026-05-18T12:27:57.521954+00:00"},{"alias_kind":"pith_short_8","alias_value":"QMVWFG45","created_at":"2026-05-18T12:27:57.521954+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/QMVWFG45BVCSBDHP6OCEQXNNLO","json":"https://pith.science/pith/QMVWFG45BVCSBDHP6OCEQXNNLO.json","graph_json":"https://pith.science/api/pith-number/QMVWFG45BVCSBDHP6OCEQXNNLO/graph.json","events_json":"https://pith.science/api/pith-number/QMVWFG45BVCSBDHP6OCEQXNNLO/events.json","paper":"https://pith.science/paper/QMVWFG45"},"agent_actions":{"view_html":"https://pith.science/pith/QMVWFG45BVCSBDHP6OCEQXNNLO","download_json":"https://pith.science/pith/QMVWFG45BVCSBDHP6OCEQXNNLO.json","view_paper":"https://pith.science/paper/QMVWFG45","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.7444&json=true","fetch_graph":"https://pith.science/api/pith-number/QMVWFG45BVCSBDHP6OCEQXNNLO/graph.json","fetch_events":"https://pith.science/api/pith-number/QMVWFG45BVCSBDHP6OCEQXNNLO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QMVWFG45BVCSBDHP6OCEQXNNLO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QMVWFG45BVCSBDHP6OCEQXNNLO/action/storage_attestation","attest_author":"https://pith.science/pith/QMVWFG45BVCSBDHP6OCEQXNNLO/action/author_attestation","sign_citation":"https://pith.science/pith/QMVWFG45BVCSBDHP6OCEQXNNLO/action/citation_signature","submit_replication":"https://pith.science/pith/QMVWFG45BVCSBDHP6OCEQXNNLO/action/replication_record"}},"created_at":"2026-05-18T03:29:28.389463+00:00","updated_at":"2026-05-18T03:29:28.389463+00:00"}