{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:DIY52YFCXIKJTTLPCBMMI73QMC","short_pith_number":"pith:DIY52YFC","schema_version":"1.0","canonical_sha256":"1a31dd60a2ba1499cd6f1058c47f70608eadb46dd29d709904efe9fb789e9fb6","source":{"kind":"arxiv","id":"1511.08737","version":2},"attestation_state":"computed","paper":{"title":"Spencer cohomology and eleven-dimensional supergravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.RT"],"primary_cat":"hep-th","authors_text":"Andrea Santi, Jos\\'e Figueroa-O'Farrill","submitted_at":"2015-11-27T16:48:59Z","abstract_excerpt":"We recover the classification of the maximally supersymmetric bosonic backgrounds of eleven-dimensional supergravity by Lie algebraic means. We classify all filtered deformations of the $\\mathbb Z$-graded subalgebras $\\mathfrak{h}=\\mathfrak{h}_{-2}\\oplus\\mathfrak{h}_{-1}\\oplus\\mathfrak{h}_{0}$ of the Poincar\\'e superalgebra $\\mathfrak{g}=\\mathfrak{g}_{-2}\\oplus\\mathfrak{g}_{-1}\\oplus\\mathfrak{g}_{0}=V\\oplus S\\oplus \\mathfrak{so}(V)$ which differ only in zero degree, that is $\\mathfrak{h}_0\\subset\\mathfrak{g}_0$ and $\\mathfrak{h}_j=\\mathfrak{g}_j$ for $j<0$. Aside from the Poincar\\'e superalgeb"},"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":"1511.08737","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-11-27T16:48:59Z","cross_cats_sorted":["math.DG","math.RT"],"title_canon_sha256":"9a126841931e07cd9e78c4ede29ad5bc9f67a5aa7607c32707db234dd1e80c6b","abstract_canon_sha256":"14ce18c6e6d66a40aaf17d3d68dc85a5ce5013178644a6e7c5366025a8cb8542"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:46:53.752506Z","signature_b64":"msYb/gpc0OKZRn3LOeNkHLXhIEdrrEdkVu7N2nEe23ua/V4M7yPMJlPuQfUgePnCU3mM3kzLPxbXK4BfVFz3Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a31dd60a2ba1499cd6f1058c47f70608eadb46dd29d709904efe9fb789e9fb6","last_reissued_at":"2026-05-18T00:46:53.751973Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:46:53.751973Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Spencer cohomology and eleven-dimensional supergravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.RT"],"primary_cat":"hep-th","authors_text":"Andrea Santi, Jos\\'e Figueroa-O'Farrill","submitted_at":"2015-11-27T16:48:59Z","abstract_excerpt":"We recover the classification of the maximally supersymmetric bosonic backgrounds of eleven-dimensional supergravity by Lie algebraic means. We classify all filtered deformations of the $\\mathbb Z$-graded subalgebras $\\mathfrak{h}=\\mathfrak{h}_{-2}\\oplus\\mathfrak{h}_{-1}\\oplus\\mathfrak{h}_{0}$ of the Poincar\\'e superalgebra $\\mathfrak{g}=\\mathfrak{g}_{-2}\\oplus\\mathfrak{g}_{-1}\\oplus\\mathfrak{g}_{0}=V\\oplus S\\oplus \\mathfrak{so}(V)$ which differ only in zero degree, that is $\\mathfrak{h}_0\\subset\\mathfrak{g}_0$ and $\\mathfrak{h}_j=\\mathfrak{g}_j$ for $j<0$. Aside from the Poincar\\'e superalgeb"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.08737","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":"1511.08737","created_at":"2026-05-18T00:46:53.752044+00:00"},{"alias_kind":"arxiv_version","alias_value":"1511.08737v2","created_at":"2026-05-18T00:46:53.752044+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.08737","created_at":"2026-05-18T00:46:53.752044+00:00"},{"alias_kind":"pith_short_12","alias_value":"DIY52YFCXIKJ","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"DIY52YFCXIKJTTLP","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"DIY52YFC","created_at":"2026-05-18T12:29:17.054201+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/DIY52YFCXIKJTTLPCBMMI73QMC","json":"https://pith.science/pith/DIY52YFCXIKJTTLPCBMMI73QMC.json","graph_json":"https://pith.science/api/pith-number/DIY52YFCXIKJTTLPCBMMI73QMC/graph.json","events_json":"https://pith.science/api/pith-number/DIY52YFCXIKJTTLPCBMMI73QMC/events.json","paper":"https://pith.science/paper/DIY52YFC"},"agent_actions":{"view_html":"https://pith.science/pith/DIY52YFCXIKJTTLPCBMMI73QMC","download_json":"https://pith.science/pith/DIY52YFCXIKJTTLPCBMMI73QMC.json","view_paper":"https://pith.science/paper/DIY52YFC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1511.08737&json=true","fetch_graph":"https://pith.science/api/pith-number/DIY52YFCXIKJTTLPCBMMI73QMC/graph.json","fetch_events":"https://pith.science/api/pith-number/DIY52YFCXIKJTTLPCBMMI73QMC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DIY52YFCXIKJTTLPCBMMI73QMC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DIY52YFCXIKJTTLPCBMMI73QMC/action/storage_attestation","attest_author":"https://pith.science/pith/DIY52YFCXIKJTTLPCBMMI73QMC/action/author_attestation","sign_citation":"https://pith.science/pith/DIY52YFCXIKJTTLPCBMMI73QMC/action/citation_signature","submit_replication":"https://pith.science/pith/DIY52YFCXIKJTTLPCBMMI73QMC/action/replication_record"}},"created_at":"2026-05-18T00:46:53.752044+00:00","updated_at":"2026-05-18T00:46:53.752044+00:00"}