{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:F3AHCJBLMDZYTIY36ZOXOI2H63","short_pith_number":"pith:F3AHCJBL","canonical_record":{"source":{"id":"1312.7509","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-29T08:03:58Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"21ee39d7138019be9d4ace8db0d2a9c4e40150d61bfbdbb29f8400cbe8b82033","abstract_canon_sha256":"90682774c87efcd6ce768dd658e0886a4ac1d6a79c59777bca5dda16a78d0c9f"},"schema_version":"1.0"},"canonical_sha256":"2ec071242b60f389a31bf65d772347f6c4d9bfd23b15153df24ed87d98486088","source":{"kind":"arxiv","id":"1312.7509","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7509","created_at":"2026-05-18T02:21:51Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7509v1","created_at":"2026-05-18T02:21:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7509","created_at":"2026-05-18T02:21:51Z"},{"alias_kind":"pith_short_12","alias_value":"F3AHCJBLMDZY","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"F3AHCJBLMDZYTIY3","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"F3AHCJBL","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:F3AHCJBLMDZYTIY36ZOXOI2H63","target":"record","payload":{"canonical_record":{"source":{"id":"1312.7509","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-29T08:03:58Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"21ee39d7138019be9d4ace8db0d2a9c4e40150d61bfbdbb29f8400cbe8b82033","abstract_canon_sha256":"90682774c87efcd6ce768dd658e0886a4ac1d6a79c59777bca5dda16a78d0c9f"},"schema_version":"1.0"},"canonical_sha256":"2ec071242b60f389a31bf65d772347f6c4d9bfd23b15153df24ed87d98486088","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:51.948152Z","signature_b64":"UFiIqf6psrKJ+XcJoaPE7zmJxCK5duiDjuB63IdzzRmjcP8e6aWI01abFaySWidDhoNE0Jeamw4dNinG9WtMDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ec071242b60f389a31bf65d772347f6c4d9bfd23b15153df24ed87d98486088","last_reissued_at":"2026-05-18T02:21:51.947577Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:51.947577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1312.7509","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":"2026-05-18T02:21:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aw59jnLspKD+f17zBgnVper3fRi9jt4xKs1MYtsikMQwrbCL/J+mMlz9WYtoL7KEzAZKtl+MfJM9wQuL380gAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T22:16:17.931897Z"},"content_sha256":"4cde8d7c83f84d4fc237a12c5b80c5bcb6414eadab8ae380ebe5bc6f5197f7f9","schema_version":"1.0","event_id":"sha256:4cde8d7c83f84d4fc237a12c5b80c5bcb6414eadab8ae380ebe5bc6f5197f7f9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:F3AHCJBLMDZYTIY36ZOXOI2H63","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The homogeneity theorem for supergravity backgrounds II: the six-dimensional theories","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, Noel Hustler","submitted_at":"2013-12-29T08:03:58Z","abstract_excerpt":"We prove that supersymmetry backgrounds of (1,0) and (2,0) six-dimensional supergravity theories preserving more than one half of the supersymmetry are locally homogeneous. As a byproduct we also establish that the Killing spinors of such a background generate a Lie superalgebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7509","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":"2026-05-18T02:21:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SVBC+sRS+ViYwL4TceUmIWpHYh6GI6UPdgjt3xT51s1SG1VECL392EU6ngtpBOZ3pp/XlcRR7P0wo6hQIOsnDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T22:16:17.932235Z"},"content_sha256":"c9142521847377bebe98dd52866885e188bcae3de4a878c78e5f91573e7a33b6","schema_version":"1.0","event_id":"sha256:c9142521847377bebe98dd52866885e188bcae3de4a878c78e5f91573e7a33b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F3AHCJBLMDZYTIY36ZOXOI2H63/bundle.json","state_url":"https://pith.science/pith/F3AHCJBLMDZYTIY36ZOXOI2H63/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F3AHCJBLMDZYTIY36ZOXOI2H63/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":"2026-06-29T22:16:17Z","links":{"resolver":"https://pith.science/pith/F3AHCJBLMDZYTIY36ZOXOI2H63","bundle":"https://pith.science/pith/F3AHCJBLMDZYTIY36ZOXOI2H63/bundle.json","state":"https://pith.science/pith/F3AHCJBLMDZYTIY36ZOXOI2H63/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F3AHCJBLMDZYTIY36ZOXOI2H63/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:F3AHCJBLMDZYTIY36ZOXOI2H63","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":"90682774c87efcd6ce768dd658e0886a4ac1d6a79c59777bca5dda16a78d0c9f","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-29T08:03:58Z","title_canon_sha256":"21ee39d7138019be9d4ace8db0d2a9c4e40150d61bfbdbb29f8400cbe8b82033"},"schema_version":"1.0","source":{"id":"1312.7509","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1312.7509","created_at":"2026-05-18T02:21:51Z"},{"alias_kind":"arxiv_version","alias_value":"1312.7509v1","created_at":"2026-05-18T02:21:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1312.7509","created_at":"2026-05-18T02:21:51Z"},{"alias_kind":"pith_short_12","alias_value":"F3AHCJBLMDZY","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"F3AHCJBLMDZYTIY3","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"F3AHCJBL","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:c9142521847377bebe98dd52866885e188bcae3de4a878c78e5f91573e7a33b6","target":"graph","created_at":"2026-05-18T02:21:51Z","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 prove that supersymmetry backgrounds of (1,0) and (2,0) six-dimensional supergravity theories preserving more than one half of the supersymmetry are locally homogeneous. As a byproduct we also establish that the Killing spinors of such a background generate a Lie superalgebra.","authors_text":"Jos\\'e Figueroa-O'Farrill, Noel Hustler","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-29T08:03:58Z","title":"The homogeneity theorem for supergravity backgrounds II: the six-dimensional theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1312.7509","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":"sha256:4cde8d7c83f84d4fc237a12c5b80c5bcb6414eadab8ae380ebe5bc6f5197f7f9","target":"record","created_at":"2026-05-18T02:21:51Z","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":"90682774c87efcd6ce768dd658e0886a4ac1d6a79c59777bca5dda16a78d0c9f","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-12-29T08:03:58Z","title_canon_sha256":"21ee39d7138019be9d4ace8db0d2a9c4e40150d61bfbdbb29f8400cbe8b82033"},"schema_version":"1.0","source":{"id":"1312.7509","kind":"arxiv","version":1}},"canonical_sha256":"2ec071242b60f389a31bf65d772347f6c4d9bfd23b15153df24ed87d98486088","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2ec071242b60f389a31bf65d772347f6c4d9bfd23b15153df24ed87d98486088","first_computed_at":"2026-05-18T02:21:51.947577Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:51.947577Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UFiIqf6psrKJ+XcJoaPE7zmJxCK5duiDjuB63IdzzRmjcP8e6aWI01abFaySWidDhoNE0Jeamw4dNinG9WtMDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:51.948152Z","signed_message":"canonical_sha256_bytes"},"source_id":"1312.7509","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4cde8d7c83f84d4fc237a12c5b80c5bcb6414eadab8ae380ebe5bc6f5197f7f9","sha256:c9142521847377bebe98dd52866885e188bcae3de4a878c78e5f91573e7a33b6"],"state_sha256":"6c599316d8c1937c08bf8f3d6f1fe71b2c5b299651c0ff15162f8132bb3df95c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UT91Ii4fZCg3M6ONADBA6SjZ6/PNz+f9qoW6RJbhudKLnJxIxFJHpY3CT/UWhgQJrL74kugdXjlL7ZZY8cR6BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T22:16:17.934088Z","bundle_sha256":"3b427c291cdd3db9673612c4e47c93b5344a722e1ce96658f8cce1ba936f4c57"}}