{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:XCS4DQJTUIEMBS6FVLJCZVYYBD","short_pith_number":"pith:XCS4DQJT","canonical_record":{"source":{"id":"1511.03460","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-11-11T11:29:15Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"51504df3acb08f41541f322d9f352fd635fc8c443da85d92e7269ab6ed11bf54","abstract_canon_sha256":"c74d92cf27130f0abc152e032d23639929a8b3ad304de6ee298a2707a5f874b0"},"schema_version":"1.0"},"canonical_sha256":"b8a5c1c133a208c0cbc5aad22cd71808c1412d85ab17d359ecd8d41f35a9cee0","source":{"kind":"arxiv","id":"1511.03460","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.03460","created_at":"2026-05-18T01:16:17Z"},{"alias_kind":"arxiv_version","alias_value":"1511.03460v1","created_at":"2026-05-18T01:16:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03460","created_at":"2026-05-18T01:16:17Z"},{"alias_kind":"pith_short_12","alias_value":"XCS4DQJTUIEM","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XCS4DQJTUIEMBS6F","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XCS4DQJT","created_at":"2026-05-18T12:29:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:XCS4DQJTUIEMBS6FVLJCZVYYBD","target":"record","payload":{"canonical_record":{"source":{"id":"1511.03460","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-11-11T11:29:15Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"51504df3acb08f41541f322d9f352fd635fc8c443da85d92e7269ab6ed11bf54","abstract_canon_sha256":"c74d92cf27130f0abc152e032d23639929a8b3ad304de6ee298a2707a5f874b0"},"schema_version":"1.0"},"canonical_sha256":"b8a5c1c133a208c0cbc5aad22cd71808c1412d85ab17d359ecd8d41f35a9cee0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:17.241411Z","signature_b64":"KFKjAZQPv3MqJZZDF3iH/lovTq97FsJTXPc9+wKVO0/UpwsXIJQM7i9gpSWzuZAYr3NrvYU6L0IxMIAfes4XDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8a5c1c133a208c0cbc5aad22cd71808c1412d85ab17d359ecd8d41f35a9cee0","last_reissued_at":"2026-05-18T01:16:17.240662Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:17.240662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1511.03460","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:16:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/E04+TqHu4WaHMkWdg9fM9R9U4HWLLpUSShulpaJCm8iVkID1/yYn/Pjwa2HGCqtS4X5Jecl5UBKE/sSxNzXAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T03:21:51.158339Z"},"content_sha256":"22dd53cc02aae607eec9816ee1b1ac94f9db7ebeadb609f6c0d4659ac545ccc9","schema_version":"1.0","event_id":"sha256:22dd53cc02aae607eec9816ee1b1ac94f9db7ebeadb609f6c0d4659ac545ccc9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:XCS4DQJTUIEMBS6FVLJCZVYYBD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sasakian manifolds and M-theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"math.DG","authors_text":"Andrea Santi, Jos\\'e Figueroa-O'Farrill","submitted_at":"2015-11-11T11:29:15Z","abstract_excerpt":"We extend the link between Einstein Sasakian manifolds and Killing spinors to a class of $\\eta$-Einstein Sasakian manifolds, both in Riemannian and Lorentzian settings, characterising them in terms of generalised Killing spinors. We propose a definition of supersymmetric M-theory backgrounds on such a geometry and find a new class of such backgrounds, extending previous work of Haupt, Lukas and Stelle."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03460","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:16:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BT1LNYqQnR8lpK+F4JW7Lz6iolp9swzyl5Pl6u1Xk2Yc+OyhFkmurvAHxiLJqwLyknIXaXeelpz2kCyrOtqlDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T03:21:51.158690Z"},"content_sha256":"7f7b41a3c70e8cb0d9c5edc1dbf634cf47adb289927e6619765aa0136a413ae0","schema_version":"1.0","event_id":"sha256:7f7b41a3c70e8cb0d9c5edc1dbf634cf47adb289927e6619765aa0136a413ae0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XCS4DQJTUIEMBS6FVLJCZVYYBD/bundle.json","state_url":"https://pith.science/pith/XCS4DQJTUIEMBS6FVLJCZVYYBD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XCS4DQJTUIEMBS6FVLJCZVYYBD/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":"2026-06-03T03:21:51Z","links":{"resolver":"https://pith.science/pith/XCS4DQJTUIEMBS6FVLJCZVYYBD","bundle":"https://pith.science/pith/XCS4DQJTUIEMBS6FVLJCZVYYBD/bundle.json","state":"https://pith.science/pith/XCS4DQJTUIEMBS6FVLJCZVYYBD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XCS4DQJTUIEMBS6FVLJCZVYYBD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:XCS4DQJTUIEMBS6FVLJCZVYYBD","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":"c74d92cf27130f0abc152e032d23639929a8b3ad304de6ee298a2707a5f874b0","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-11-11T11:29:15Z","title_canon_sha256":"51504df3acb08f41541f322d9f352fd635fc8c443da85d92e7269ab6ed11bf54"},"schema_version":"1.0","source":{"id":"1511.03460","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1511.03460","created_at":"2026-05-18T01:16:17Z"},{"alias_kind":"arxiv_version","alias_value":"1511.03460v1","created_at":"2026-05-18T01:16:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1511.03460","created_at":"2026-05-18T01:16:17Z"},{"alias_kind":"pith_short_12","alias_value":"XCS4DQJTUIEM","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XCS4DQJTUIEMBS6F","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XCS4DQJT","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:7f7b41a3c70e8cb0d9c5edc1dbf634cf47adb289927e6619765aa0136a413ae0","target":"graph","created_at":"2026-05-18T01:16:17Z","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 extend the link between Einstein Sasakian manifolds and Killing spinors to a class of $\\eta$-Einstein Sasakian manifolds, both in Riemannian and Lorentzian settings, characterising them in terms of generalised Killing spinors. We propose a definition of supersymmetric M-theory backgrounds on such a geometry and find a new class of such backgrounds, extending previous work of Haupt, Lukas and Stelle.","authors_text":"Andrea Santi, Jos\\'e Figueroa-O'Farrill","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-11-11T11:29:15Z","title":"Sasakian manifolds and M-theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1511.03460","kind":"arxiv","version":1},"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":"sha256:22dd53cc02aae607eec9816ee1b1ac94f9db7ebeadb609f6c0d4659ac545ccc9","target":"record","created_at":"2026-05-18T01:16:17Z","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":"c74d92cf27130f0abc152e032d23639929a8b3ad304de6ee298a2707a5f874b0","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-11-11T11:29:15Z","title_canon_sha256":"51504df3acb08f41541f322d9f352fd635fc8c443da85d92e7269ab6ed11bf54"},"schema_version":"1.0","source":{"id":"1511.03460","kind":"arxiv","version":1}},"canonical_sha256":"b8a5c1c133a208c0cbc5aad22cd71808c1412d85ab17d359ecd8d41f35a9cee0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8a5c1c133a208c0cbc5aad22cd71808c1412d85ab17d359ecd8d41f35a9cee0","first_computed_at":"2026-05-18T01:16:17.240662Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:17.240662Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KFKjAZQPv3MqJZZDF3iH/lovTq97FsJTXPc9+wKVO0/UpwsXIJQM7i9gpSWzuZAYr3NrvYU6L0IxMIAfes4XDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:17.241411Z","signed_message":"canonical_sha256_bytes"},"source_id":"1511.03460","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22dd53cc02aae607eec9816ee1b1ac94f9db7ebeadb609f6c0d4659ac545ccc9","sha256:7f7b41a3c70e8cb0d9c5edc1dbf634cf47adb289927e6619765aa0136a413ae0"],"state_sha256":"9f087fa05891a25886863d5f459a88946fffd0ec79a9066ec9089197503b5694"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hpVXMPihMTvXf1ozyJiPQ1HZeQG3Z7Iv3qABQbiP77hp1lO30njlA6XpgR7W5VnGfY9JLXfxuQomdLpeYyzMCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T03:21:51.160602Z","bundle_sha256":"6053e8f4068b5799074afddc8803bf95f0abf4f155f92f6a03866cc1af72dadf"}}