{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:QKNLKCJSXNT7JUDHEXMBWVMSAA","short_pith_number":"pith:QKNLKCJS","schema_version":"1.0","canonical_sha256":"829ab50932bb67f4d06725d81b559200388a88915492c01fb94bd9cf9a5d2136","source":{"kind":"arxiv","id":"1411.3497","version":2},"attestation_state":"computed","paper":{"title":"Singular foliations for M-theory compactification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"hep-th","authors_text":"Calin Iuliu Lazaroiu, Elena Mirela Babalic","submitted_at":"2014-11-13T10:54:07Z","abstract_excerpt":"We use the theory of singular foliations to study ${\\cal N}=1$ compactifications of eleven-dimensional supergravity on eight-manifolds $M$ down to $\\mathrm{AdS}_3$ spaces, allowing for the possibility that the internal part $\\xi$ of the supersymmetry generator is chiral on some locus ${\\cal W}$ which does not coincide with $M$. We show that the complement $M\\setminus {\\cal W}$ must be a dense open subset of $M$ and that $M$ admits a singular foliation ${\\bar {\\cal F}}$ endowed with a longitudinal $G_2$ structure and defined by a closed one-form $\\boldsymbol{\\omega}$, whose geometry is determin"},"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":"1411.3497","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-13T10:54:07Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"55e68dde91901264694b06612afdffd84431160ce65d33b3962901b8fa76476f","abstract_canon_sha256":"e545b4259b29f04b8445549e73a7bbbf0d64c31169891b1839bcc8765486e432"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:20:19.686928Z","signature_b64":"zuYAgSIHxFOQ6yrzyLm/oq8QIOr4rvnHvBN7ttfBVJHFSqdzGLH+eLrytevg+36DZoXrwJxwifMzG10k89mEAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"829ab50932bb67f4d06725d81b559200388a88915492c01fb94bd9cf9a5d2136","last_reissued_at":"2026-05-18T02:20:19.686286Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:20:19.686286Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Singular foliations for M-theory compactification","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"hep-th","authors_text":"Calin Iuliu Lazaroiu, Elena Mirela Babalic","submitted_at":"2014-11-13T10:54:07Z","abstract_excerpt":"We use the theory of singular foliations to study ${\\cal N}=1$ compactifications of eleven-dimensional supergravity on eight-manifolds $M$ down to $\\mathrm{AdS}_3$ spaces, allowing for the possibility that the internal part $\\xi$ of the supersymmetry generator is chiral on some locus ${\\cal W}$ which does not coincide with $M$. We show that the complement $M\\setminus {\\cal W}$ must be a dense open subset of $M$ and that $M$ admits a singular foliation ${\\bar {\\cal F}}$ endowed with a longitudinal $G_2$ structure and defined by a closed one-form $\\boldsymbol{\\omega}$, whose geometry is determin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.3497","kind":"arxiv","version":2},"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":"1411.3497","created_at":"2026-05-18T02:20:19.686377+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.3497v2","created_at":"2026-05-18T02:20:19.686377+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.3497","created_at":"2026-05-18T02:20:19.686377+00:00"},{"alias_kind":"pith_short_12","alias_value":"QKNLKCJSXNT7","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_16","alias_value":"QKNLKCJSXNT7JUDH","created_at":"2026-05-18T12:28:46.137349+00:00"},{"alias_kind":"pith_short_8","alias_value":"QKNLKCJS","created_at":"2026-05-18T12:28:46.137349+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/QKNLKCJSXNT7JUDHEXMBWVMSAA","json":"https://pith.science/pith/QKNLKCJSXNT7JUDHEXMBWVMSAA.json","graph_json":"https://pith.science/api/pith-number/QKNLKCJSXNT7JUDHEXMBWVMSAA/graph.json","events_json":"https://pith.science/api/pith-number/QKNLKCJSXNT7JUDHEXMBWVMSAA/events.json","paper":"https://pith.science/paper/QKNLKCJS"},"agent_actions":{"view_html":"https://pith.science/pith/QKNLKCJSXNT7JUDHEXMBWVMSAA","download_json":"https://pith.science/pith/QKNLKCJSXNT7JUDHEXMBWVMSAA.json","view_paper":"https://pith.science/paper/QKNLKCJS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.3497&json=true","fetch_graph":"https://pith.science/api/pith-number/QKNLKCJSXNT7JUDHEXMBWVMSAA/graph.json","fetch_events":"https://pith.science/api/pith-number/QKNLKCJSXNT7JUDHEXMBWVMSAA/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QKNLKCJSXNT7JUDHEXMBWVMSAA/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QKNLKCJSXNT7JUDHEXMBWVMSAA/action/storage_attestation","attest_author":"https://pith.science/pith/QKNLKCJSXNT7JUDHEXMBWVMSAA/action/author_attestation","sign_citation":"https://pith.science/pith/QKNLKCJSXNT7JUDHEXMBWVMSAA/action/citation_signature","submit_replication":"https://pith.science/pith/QKNLKCJSXNT7JUDHEXMBWVMSAA/action/replication_record"}},"created_at":"2026-05-18T02:20:19.686377+00:00","updated_at":"2026-05-18T02:20:19.686377+00:00"}