{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:OAWJDFL7M2J2TTHWPOKDWTG6XP","short_pith_number":"pith:OAWJDFL7","canonical_record":{"source":{"id":"1010.2632","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-10-13T11:24:26Z","cross_cats_sorted":[],"title_canon_sha256":"aa7141f107e5e99aec27fa18cc56889f959fb6fb0715ef3ae4d7171a79b09806","abstract_canon_sha256":"60866287f745541aa90a060d812fe2ef15a3bd92dbb6f4d6c3fba54b76fabf3f"},"schema_version":"1.0"},"canonical_sha256":"702c91957f6693a9ccf67b943b4cdebbc7d21c561dce18882c00469b59ddc3c1","source":{"kind":"arxiv","id":"1010.2632","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2632","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2632v2","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2632","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"pith_short_12","alias_value":"OAWJDFL7M2J2","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OAWJDFL7M2J2TTHW","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OAWJDFL7","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:OAWJDFL7M2J2TTHWPOKDWTG6XP","target":"record","payload":{"canonical_record":{"source":{"id":"1010.2632","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-10-13T11:24:26Z","cross_cats_sorted":[],"title_canon_sha256":"aa7141f107e5e99aec27fa18cc56889f959fb6fb0715ef3ae4d7171a79b09806","abstract_canon_sha256":"60866287f745541aa90a060d812fe2ef15a3bd92dbb6f4d6c3fba54b76fabf3f"},"schema_version":"1.0"},"canonical_sha256":"702c91957f6693a9ccf67b943b4cdebbc7d21c561dce18882c00469b59ddc3c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:43.692122Z","signature_b64":"8U1OCrI3mWRVGA+RbOHIM9c9K2cBUrabtHWGCTfZSqvYCp0wFy+ttscNOWJOPcJ+2sGkN57usjOwdf6rO6W5Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"702c91957f6693a9ccf67b943b4cdebbc7d21c561dce18882c00469b59ddc3c1","last_reissued_at":"2026-05-18T04:24:43.691725Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:43.691725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.2632","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":"2026-05-18T04:24:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B/CPZKkrpieda5uDZBwqOrqGJmzg9Zw1i2qyOVXMXkE95D4TFdUNFoj87hCX/7V8VHr5OU+bjyvqyZzPA2N0AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T04:19:43.910801Z"},"content_sha256":"449b86738e0e97ded3207a431d2cb64e90254d5bf8a363cc8276ec9706b99e73","schema_version":"1.0","event_id":"sha256:449b86738e0e97ded3207a431d2cb64e90254d5bf8a363cc8276ec9706b99e73"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:OAWJDFL7M2J2TTHWPOKDWTG6XP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spinorial geometry and Killing spinor equations of 6-D supergravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"George Papadopoulos, Mehmet Akyol","submitted_at":"2010-10-13T11:24:26Z","abstract_excerpt":"We solve the Killing spinor equations of 6-dimensional (1,0)-supergravity coupled to any number of tensor, vector and scalar multiplets in all cases. The isotropy groups of Killing spinors are $Sp(1)\\cdot Sp(1)\\ltimes \\bH (1)$, $U(1)\\cdot Sp(1)\\ltimes \\bH (2)$, $Sp(1)\\ltimes \\bH (3,4)$, $Sp(1) (2)$, $U(1) (4)$ and $\\{1\\} (8)$, where in parenthesis is the number of supersymmetries preserved in each case. If the isotropy group is non-compact, the spacetime admits a parallel null 1-form with respect to a connection with torsion the 3-form field strength of the gravitational multiplet. The associa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2632","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":"2026-05-18T04:24:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WypHTKXLQ65torm9bELQpWBOigEZLuJ5KVGjgWtXUpw8aE7l+YT4s/yNeJKGHhZsi/ASQBYMdpATcdCOfnguAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T04:19:43.911149Z"},"content_sha256":"308048d71f0780ff96b2aaa2289fb4f268e9555745fbe97724ecea4a38d7bfaa","schema_version":"1.0","event_id":"sha256:308048d71f0780ff96b2aaa2289fb4f268e9555745fbe97724ecea4a38d7bfaa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OAWJDFL7M2J2TTHWPOKDWTG6XP/bundle.json","state_url":"https://pith.science/pith/OAWJDFL7M2J2TTHWPOKDWTG6XP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OAWJDFL7M2J2TTHWPOKDWTG6XP/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":"2026-06-12T04:19:43Z","links":{"resolver":"https://pith.science/pith/OAWJDFL7M2J2TTHWPOKDWTG6XP","bundle":"https://pith.science/pith/OAWJDFL7M2J2TTHWPOKDWTG6XP/bundle.json","state":"https://pith.science/pith/OAWJDFL7M2J2TTHWPOKDWTG6XP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OAWJDFL7M2J2TTHWPOKDWTG6XP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OAWJDFL7M2J2TTHWPOKDWTG6XP","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":"60866287f745541aa90a060d812fe2ef15a3bd92dbb6f4d6c3fba54b76fabf3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-10-13T11:24:26Z","title_canon_sha256":"aa7141f107e5e99aec27fa18cc56889f959fb6fb0715ef3ae4d7171a79b09806"},"schema_version":"1.0","source":{"id":"1010.2632","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.2632","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"arxiv_version","alias_value":"1010.2632v2","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.2632","created_at":"2026-05-18T04:24:43Z"},{"alias_kind":"pith_short_12","alias_value":"OAWJDFL7M2J2","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OAWJDFL7M2J2TTHW","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OAWJDFL7","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:308048d71f0780ff96b2aaa2289fb4f268e9555745fbe97724ecea4a38d7bfaa","target":"graph","created_at":"2026-05-18T04:24:43Z","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 solve the Killing spinor equations of 6-dimensional (1,0)-supergravity coupled to any number of tensor, vector and scalar multiplets in all cases. The isotropy groups of Killing spinors are $Sp(1)\\cdot Sp(1)\\ltimes \\bH (1)$, $U(1)\\cdot Sp(1)\\ltimes \\bH (2)$, $Sp(1)\\ltimes \\bH (3,4)$, $Sp(1) (2)$, $U(1) (4)$ and $\\{1\\} (8)$, where in parenthesis is the number of supersymmetries preserved in each case. If the isotropy group is non-compact, the spacetime admits a parallel null 1-form with respect to a connection with torsion the 3-form field strength of the gravitational multiplet. The associa","authors_text":"George Papadopoulos, Mehmet Akyol","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-10-13T11:24:26Z","title":"Spinorial geometry and Killing spinor equations of 6-D supergravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.2632","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":"sha256:449b86738e0e97ded3207a431d2cb64e90254d5bf8a363cc8276ec9706b99e73","target":"record","created_at":"2026-05-18T04:24:43Z","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":"60866287f745541aa90a060d812fe2ef15a3bd92dbb6f4d6c3fba54b76fabf3f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-10-13T11:24:26Z","title_canon_sha256":"aa7141f107e5e99aec27fa18cc56889f959fb6fb0715ef3ae4d7171a79b09806"},"schema_version":"1.0","source":{"id":"1010.2632","kind":"arxiv","version":2}},"canonical_sha256":"702c91957f6693a9ccf67b943b4cdebbc7d21c561dce18882c00469b59ddc3c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"702c91957f6693a9ccf67b943b4cdebbc7d21c561dce18882c00469b59ddc3c1","first_computed_at":"2026-05-18T04:24:43.691725Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:43.691725Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8U1OCrI3mWRVGA+RbOHIM9c9K2cBUrabtHWGCTfZSqvYCp0wFy+ttscNOWJOPcJ+2sGkN57usjOwdf6rO6W5Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:43.692122Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.2632","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:449b86738e0e97ded3207a431d2cb64e90254d5bf8a363cc8276ec9706b99e73","sha256:308048d71f0780ff96b2aaa2289fb4f268e9555745fbe97724ecea4a38d7bfaa"],"state_sha256":"49fff591df46342492410f7453c56c44b7b77b85808eaa475f847e2915d71ed9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DBzPHEXfSGaYd8jku8XXhwGcSxeTaZw2I7EaxRvRK8mLC6ThWlFnjxNVJpcsso0r2XFt6TMOtjOfhsmBfc6BCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T04:19:43.913099Z","bundle_sha256":"81af1339acac211e29dca4711018b0950ee62dd114c34fe73c46ce1137e6940c"}}