{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:7F4ENBAD7Q5GVEW52B62IO55GJ","short_pith_number":"pith:7F4ENBAD","schema_version":"1.0","canonical_sha256":"f978468403fc3a6a92ddd07da43bbd3253298411b6c3d5d4dc7da66b4996e428","source":{"kind":"arxiv","id":"1405.3698","version":3},"attestation_state":"computed","paper":{"title":"Spin(7)-manifolds in compactifications to four dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"hep-th","authors_text":"C. S. Shahbazi, Marco Zambon, Mariana Gra\\~na","submitted_at":"2014-05-14T21:39:44Z","abstract_excerpt":"We describe off-shell $\\mathcal{N}=1$ M-theory compactifications down to four dimensions in terms of eight-dimensional manifolds equipped with a topological $Spin(7)$-structure. Motivated by the exceptionally generalized geometry formulation of M-theory compactifications, we consider an eight-dimensional manifold $\\mathcal{M}_{8}$ equipped with a particular set of tensors $\\mathfrak{S}$ that allow to naturally embed in $\\mathcal{M}_{8}$ a family of $G_{2}$-structure seven-dimensional manifolds as the leaves of a codimension-one foliation. Under a different set of assumptions, $\\mathfrak{S}$ al"},"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":"1405.3698","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-05-14T21:39:44Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"2253b0b79780132b8d28cf653d36d3041d56af0319b443b341dc144291c635c1","abstract_canon_sha256":"3e110988d8f008e1779314e7688bfbac00d6b8c85c513ca1eba948587683e969"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:56:26.385613Z","signature_b64":"KIMh+TSiBe5d0QcL2x+rAV/h12mkayEMe/8/lAv5jW34rLSrP1gVkWJSKgoO9T3QKFA8rA+gigYaIbzigZkuDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f978468403fc3a6a92ddd07da43bbd3253298411b6c3d5d4dc7da66b4996e428","last_reissued_at":"2026-05-18T00:56:26.384930Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:56:26.384930Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spin(7)-manifolds in compactifications to four dimensions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"hep-th","authors_text":"C. S. Shahbazi, Marco Zambon, Mariana Gra\\~na","submitted_at":"2014-05-14T21:39:44Z","abstract_excerpt":"We describe off-shell $\\mathcal{N}=1$ M-theory compactifications down to four dimensions in terms of eight-dimensional manifolds equipped with a topological $Spin(7)$-structure. Motivated by the exceptionally generalized geometry formulation of M-theory compactifications, we consider an eight-dimensional manifold $\\mathcal{M}_{8}$ equipped with a particular set of tensors $\\mathfrak{S}$ that allow to naturally embed in $\\mathcal{M}_{8}$ a family of $G_{2}$-structure seven-dimensional manifolds as the leaves of a codimension-one foliation. Under a different set of assumptions, $\\mathfrak{S}$ al"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.3698","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":"1405.3698","created_at":"2026-05-18T00:56:26.385019+00:00"},{"alias_kind":"arxiv_version","alias_value":"1405.3698v3","created_at":"2026-05-18T00:56:26.385019+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.3698","created_at":"2026-05-18T00:56:26.385019+00:00"},{"alias_kind":"pith_short_12","alias_value":"7F4ENBAD7Q5G","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_16","alias_value":"7F4ENBAD7Q5GVEW5","created_at":"2026-05-18T12:28:16.859392+00:00"},{"alias_kind":"pith_short_8","alias_value":"7F4ENBAD","created_at":"2026-05-18T12:28:16.859392+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/7F4ENBAD7Q5GVEW52B62IO55GJ","json":"https://pith.science/pith/7F4ENBAD7Q5GVEW52B62IO55GJ.json","graph_json":"https://pith.science/api/pith-number/7F4ENBAD7Q5GVEW52B62IO55GJ/graph.json","events_json":"https://pith.science/api/pith-number/7F4ENBAD7Q5GVEW52B62IO55GJ/events.json","paper":"https://pith.science/paper/7F4ENBAD"},"agent_actions":{"view_html":"https://pith.science/pith/7F4ENBAD7Q5GVEW52B62IO55GJ","download_json":"https://pith.science/pith/7F4ENBAD7Q5GVEW52B62IO55GJ.json","view_paper":"https://pith.science/paper/7F4ENBAD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1405.3698&json=true","fetch_graph":"https://pith.science/api/pith-number/7F4ENBAD7Q5GVEW52B62IO55GJ/graph.json","fetch_events":"https://pith.science/api/pith-number/7F4ENBAD7Q5GVEW52B62IO55GJ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7F4ENBAD7Q5GVEW52B62IO55GJ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7F4ENBAD7Q5GVEW52B62IO55GJ/action/storage_attestation","attest_author":"https://pith.science/pith/7F4ENBAD7Q5GVEW52B62IO55GJ/action/author_attestation","sign_citation":"https://pith.science/pith/7F4ENBAD7Q5GVEW52B62IO55GJ/action/citation_signature","submit_replication":"https://pith.science/pith/7F4ENBAD7Q5GVEW52B62IO55GJ/action/replication_record"}},"created_at":"2026-05-18T00:56:26.385019+00:00","updated_at":"2026-05-18T00:56:26.385019+00:00"}