{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:B7BJAP3IKS2P7FG4G4W6M44RCB","short_pith_number":"pith:B7BJAP3I","schema_version":"1.0","canonical_sha256":"0fc2903f6854b4ff94dc372de6739110615b95d6ec5577bdb03f0e921a2eff11","source":{"kind":"arxiv","id":"1407.5652","version":1},"attestation_state":"computed","paper":{"title":"Supersymmetry of AdS and flat backgrounds in M-theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"G. Papadopoulos, J. B. Gutowski","submitted_at":"2014-07-21T20:13:56Z","abstract_excerpt":"We give a systematic description of all warped $AdS_n$ and ${\\mathbb{R}}^{n-1,1}$ backgrounds of M-theory and identify the a priori number of supersymmetries that these backgrounds preserve. In particular, we show that $AdS_n$ backgrounds preserve $N= 2^{[{n\\over2}]} k$ for $n\\leq4$ and $N= 2^{[{n\\over2}]+1} k$ for $4<n\\leq 7$ supersymmetries while ${\\mathbb{R}}^{n-1,1}$ backgrounds preserve $N= 2^{[{n\\over2}]} k$ for $n\\leq4$ and $N= 2^{[{n+1\\over2}]} k$ for $4<n\\leq7$, supersymmetries. Furthermore for $AdS_n$ backgrounds that satisfy the requirements for the maximum principle to hold, we sho"},"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":"1407.5652","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-07-21T20:13:56Z","cross_cats_sorted":[],"title_canon_sha256":"a72bebda9579db5dc166153172beb8e41cfe21ddc525f9a8eeac5ebd9c57d2bf","abstract_canon_sha256":"f6bb714694baf7dfd2c2ae6a32b290932083b7e6a671f253c2446d5a868897b3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:33.385480Z","signature_b64":"B7dyiukwdc5xfcPXEioCTTgZDGvfO9NrK04pbqNid8fSBPfSv+M1qTOpnau1tQ2MIGDMR4U8svpPx5UABPDICQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0fc2903f6854b4ff94dc372de6739110615b95d6ec5577bdb03f0e921a2eff11","last_reissued_at":"2026-05-18T01:42:33.384984Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:33.384984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Supersymmetry of AdS and flat backgrounds in M-theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"G. Papadopoulos, J. B. Gutowski","submitted_at":"2014-07-21T20:13:56Z","abstract_excerpt":"We give a systematic description of all warped $AdS_n$ and ${\\mathbb{R}}^{n-1,1}$ backgrounds of M-theory and identify the a priori number of supersymmetries that these backgrounds preserve. In particular, we show that $AdS_n$ backgrounds preserve $N= 2^{[{n\\over2}]} k$ for $n\\leq4$ and $N= 2^{[{n\\over2}]+1} k$ for $4<n\\leq 7$ supersymmetries while ${\\mathbb{R}}^{n-1,1}$ backgrounds preserve $N= 2^{[{n\\over2}]} k$ for $n\\leq4$ and $N= 2^{[{n+1\\over2}]} k$ for $4<n\\leq7$, supersymmetries. Furthermore for $AdS_n$ backgrounds that satisfy the requirements for the maximum principle to hold, we sho"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.5652","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":"1407.5652","created_at":"2026-05-18T01:42:33.385066+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.5652v1","created_at":"2026-05-18T01:42:33.385066+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.5652","created_at":"2026-05-18T01:42:33.385066+00:00"},{"alias_kind":"pith_short_12","alias_value":"B7BJAP3IKS2P","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"B7BJAP3IKS2P7FG4","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"B7BJAP3I","created_at":"2026-05-18T12:28:22.404517+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/B7BJAP3IKS2P7FG4G4W6M44RCB","json":"https://pith.science/pith/B7BJAP3IKS2P7FG4G4W6M44RCB.json","graph_json":"https://pith.science/api/pith-number/B7BJAP3IKS2P7FG4G4W6M44RCB/graph.json","events_json":"https://pith.science/api/pith-number/B7BJAP3IKS2P7FG4G4W6M44RCB/events.json","paper":"https://pith.science/paper/B7BJAP3I"},"agent_actions":{"view_html":"https://pith.science/pith/B7BJAP3IKS2P7FG4G4W6M44RCB","download_json":"https://pith.science/pith/B7BJAP3IKS2P7FG4G4W6M44RCB.json","view_paper":"https://pith.science/paper/B7BJAP3I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.5652&json=true","fetch_graph":"https://pith.science/api/pith-number/B7BJAP3IKS2P7FG4G4W6M44RCB/graph.json","fetch_events":"https://pith.science/api/pith-number/B7BJAP3IKS2P7FG4G4W6M44RCB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/B7BJAP3IKS2P7FG4G4W6M44RCB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/B7BJAP3IKS2P7FG4G4W6M44RCB/action/storage_attestation","attest_author":"https://pith.science/pith/B7BJAP3IKS2P7FG4G4W6M44RCB/action/author_attestation","sign_citation":"https://pith.science/pith/B7BJAP3IKS2P7FG4G4W6M44RCB/action/citation_signature","submit_replication":"https://pith.science/pith/B7BJAP3IKS2P7FG4G4W6M44RCB/action/replication_record"}},"created_at":"2026-05-18T01:42:33.385066+00:00","updated_at":"2026-05-18T01:42:33.385066+00:00"}