{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:Y3ZKHB7YRROQ4WJGMCNDFIC3WU","short_pith_number":"pith:Y3ZKHB7Y","canonical_record":{"source":{"id":"1112.4967","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-21T09:52:28Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"761e7edd451c6ea557c6fa50b93ff9234d9f33f029d364e9defb50623627e7b6","abstract_canon_sha256":"f4fa7b8f5f0e96cff84e7c682ad98e5cbebf16d5e9edcd3e0d2e29d44ac6b590"},"schema_version":"1.0"},"canonical_sha256":"c6f2a387f88c5d0e5926609a32a05bb5246a93162761f2911d4a17248c962940","source":{"kind":"arxiv","id":"1112.4967","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.4967","created_at":"2026-05-18T01:59:04Z"},{"alias_kind":"arxiv_version","alias_value":"1112.4967v2","created_at":"2026-05-18T01:59:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4967","created_at":"2026-05-18T01:59:04Z"},{"alias_kind":"pith_short_12","alias_value":"Y3ZKHB7YRROQ","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Y3ZKHB7YRROQ4WJG","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Y3ZKHB7Y","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:Y3ZKHB7YRROQ4WJGMCNDFIC3WU","target":"record","payload":{"canonical_record":{"source":{"id":"1112.4967","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-21T09:52:28Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"761e7edd451c6ea557c6fa50b93ff9234d9f33f029d364e9defb50623627e7b6","abstract_canon_sha256":"f4fa7b8f5f0e96cff84e7c682ad98e5cbebf16d5e9edcd3e0d2e29d44ac6b590"},"schema_version":"1.0"},"canonical_sha256":"c6f2a387f88c5d0e5926609a32a05bb5246a93162761f2911d4a17248c962940","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:04.078481Z","signature_b64":"HsS3gIzwP/1XRBhAc5cnkUaeFnLzYFkCJdOu8BUL84uDRJSJHlp+q02RAifG19QcFYpOn77kxVFHuj02DyGSBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c6f2a387f88c5d0e5926609a32a05bb5246a93162761f2911d4a17248c962940","last_reissued_at":"2026-05-18T01:59:04.077699Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:04.077699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.4967","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:59:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MjUG3HQBHQWwElhHyX4md7Y7zZrZVSvaWe5HZdiKZa+3KFpjpToqCfK9T8i6iBx2MRA9NElap8EwvSfP2xx8CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T04:17:47.666098Z"},"content_sha256":"854f40bc01459c0684c20eaaccf42e55359b758c1e776f975c3e9e012863f4fd","schema_version":"1.0","event_id":"sha256:854f40bc01459c0684c20eaaccf42e55359b758c1e776f975c3e9e012863f4fd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:Y3ZKHB7YRROQ4WJGMCNDFIC3WU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetric M-Theory Backgrounds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"hep-th","authors_text":"Jos\\'e Figueroa-O'Farrill","submitted_at":"2011-12-21T09:52:28Z","abstract_excerpt":"We classify symmetric backgrounds of eleven-dimensional supergravity up to local isometry. In other words, we classify triples (M,g,F), where (M,g) is an eleven-dimensional lorentzian locally symmetric space and F is an invariant 4-form, satisfying the equations of motion of eleven-dimensional supergravity. The possible (M,g) are given either by (not necessarily nondegenerate) Cahen-Wallach spaces or by products AdS_d x M for 1 < d < 8 and M a not necessarily irreducible riemannian symmetric space of dimension 11-d. In most cases we determine the corresponding F-moduli spaces."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4967","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:59:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DWlSCc+YSp/g1sMQsGmAEXjflYLlT9KwyJzbo/ySrZstlu/AyatPNx1P2lLdaVU5FZtxJPmbh5yLopMGIhehBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T04:17:47.666576Z"},"content_sha256":"05c5c17e904b12af139d93fd76ee18e15e22906348a3980c56ec99910d620daa","schema_version":"1.0","event_id":"sha256:05c5c17e904b12af139d93fd76ee18e15e22906348a3980c56ec99910d620daa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Y3ZKHB7YRROQ4WJGMCNDFIC3WU/bundle.json","state_url":"https://pith.science/pith/Y3ZKHB7YRROQ4WJGMCNDFIC3WU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Y3ZKHB7YRROQ4WJGMCNDFIC3WU/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-18T04:17:47Z","links":{"resolver":"https://pith.science/pith/Y3ZKHB7YRROQ4WJGMCNDFIC3WU","bundle":"https://pith.science/pith/Y3ZKHB7YRROQ4WJGMCNDFIC3WU/bundle.json","state":"https://pith.science/pith/Y3ZKHB7YRROQ4WJGMCNDFIC3WU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Y3ZKHB7YRROQ4WJGMCNDFIC3WU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:Y3ZKHB7YRROQ4WJGMCNDFIC3WU","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"f4fa7b8f5f0e96cff84e7c682ad98e5cbebf16d5e9edcd3e0d2e29d44ac6b590","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-21T09:52:28Z","title_canon_sha256":"761e7edd451c6ea557c6fa50b93ff9234d9f33f029d364e9defb50623627e7b6"},"schema_version":"1.0","source":{"id":"1112.4967","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.4967","created_at":"2026-05-18T01:59:04Z"},{"alias_kind":"arxiv_version","alias_value":"1112.4967v2","created_at":"2026-05-18T01:59:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.4967","created_at":"2026-05-18T01:59:04Z"},{"alias_kind":"pith_short_12","alias_value":"Y3ZKHB7YRROQ","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"Y3ZKHB7YRROQ4WJG","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"Y3ZKHB7Y","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:05c5c17e904b12af139d93fd76ee18e15e22906348a3980c56ec99910d620daa","target":"graph","created_at":"2026-05-18T01:59:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We classify symmetric backgrounds of eleven-dimensional supergravity up to local isometry. In other words, we classify triples (M,g,F), where (M,g) is an eleven-dimensional lorentzian locally symmetric space and F is an invariant 4-form, satisfying the equations of motion of eleven-dimensional supergravity. The possible (M,g) are given either by (not necessarily nondegenerate) Cahen-Wallach spaces or by products AdS_d x M for 1 < d < 8 and M a not necessarily irreducible riemannian symmetric space of dimension 11-d. In most cases we determine the corresponding F-moduli spaces.","authors_text":"Jos\\'e Figueroa-O'Farrill","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-21T09:52:28Z","title":"Symmetric M-Theory Backgrounds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.4967","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:854f40bc01459c0684c20eaaccf42e55359b758c1e776f975c3e9e012863f4fd","target":"record","created_at":"2026-05-18T01:59:04Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"f4fa7b8f5f0e96cff84e7c682ad98e5cbebf16d5e9edcd3e0d2e29d44ac6b590","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-21T09:52:28Z","title_canon_sha256":"761e7edd451c6ea557c6fa50b93ff9234d9f33f029d364e9defb50623627e7b6"},"schema_version":"1.0","source":{"id":"1112.4967","kind":"arxiv","version":2}},"canonical_sha256":"c6f2a387f88c5d0e5926609a32a05bb5246a93162761f2911d4a17248c962940","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c6f2a387f88c5d0e5926609a32a05bb5246a93162761f2911d4a17248c962940","first_computed_at":"2026-05-18T01:59:04.077699Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:04.077699Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HsS3gIzwP/1XRBhAc5cnkUaeFnLzYFkCJdOu8BUL84uDRJSJHlp+q02RAifG19QcFYpOn77kxVFHuj02DyGSBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:04.078481Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.4967","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:854f40bc01459c0684c20eaaccf42e55359b758c1e776f975c3e9e012863f4fd","sha256:05c5c17e904b12af139d93fd76ee18e15e22906348a3980c56ec99910d620daa"],"state_sha256":"3fe5b4e2ae1d9f33cfefe33ee62730e33ad22c2eeb9c4408f8d01f0f00b5e36a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W89yUKxPS8jSCv3/3r1klP0h5wVheSy8zsfcWQ0DZZCPdzjKVIhoePqyh+68y5f31ME2p0yf26XQw9ptRestBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T04:17:47.673059Z","bundle_sha256":"a9bc3108dbfe7c5f58ae6c1a3b575e680b40157c28c2f6b4d09cef55643d37d1"}}