{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:DIM7UZKS2XMSG5G6ZPL5LCIVCG","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":"88ac09f8bed00a6225a11bfc0fa2f5bfbda34512532e09f01ab390a5a2a0d13a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-18T21:00:18Z","title_canon_sha256":"1d887fd877696a7c46b0486feabbf0d681858127cafe32d53083819f77f2e956"},"schema_version":"1.0","source":{"id":"1601.04716","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.04716","created_at":"2026-05-18T01:20:18Z"},{"alias_kind":"arxiv_version","alias_value":"1601.04716v2","created_at":"2026-05-18T01:20:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.04716","created_at":"2026-05-18T01:20:18Z"},{"alias_kind":"pith_short_12","alias_value":"DIM7UZKS2XMS","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_16","alias_value":"DIM7UZKS2XMSG5G6","created_at":"2026-05-18T12:30:12Z"},{"alias_kind":"pith_short_8","alias_value":"DIM7UZKS","created_at":"2026-05-18T12:30:12Z"}],"graph_snapshots":[{"event_id":"sha256:814719e0a2a0879424c2bfb76c98e37bc8c05aad328567a0cac8638816705139","target":"graph","created_at":"2026-05-18T01:20:18Z","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":"Taking [math/0606786] as an inspiration, we study the intrinsic torsion of a SU(2) structure manifold in six dimensions to give a formula for the Ricci scalar in terms of torsion classes. The derivation is founded on the SU(3) result coming from the aforementioned paper.","authors_text":"Gautier Solard","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-18T21:00:18Z","title":"A note on the Ricci scalar of six dimensional manifold with SU(2) structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.04716","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":"sha256:6c9e44545d6f29b660b1846bfa5d36dbe5b7a3bb54183df2b9faff72f21e24f1","target":"record","created_at":"2026-05-18T01:20:18Z","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":"88ac09f8bed00a6225a11bfc0fa2f5bfbda34512532e09f01ab390a5a2a0d13a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-18T21:00:18Z","title_canon_sha256":"1d887fd877696a7c46b0486feabbf0d681858127cafe32d53083819f77f2e956"},"schema_version":"1.0","source":{"id":"1601.04716","kind":"arxiv","version":2}},"canonical_sha256":"1a19fa6552d5d92374decbd7d5891511a619051e03af550557654981fefb013a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a19fa6552d5d92374decbd7d5891511a619051e03af550557654981fefb013a","first_computed_at":"2026-05-18T01:20:18.788333Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:18.788333Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"77iSmudrKSh6YAihFUHQQxOnR54W/dYwDXC1ScvR3eSNFLm/2m5ho4bd9I+6TyAxniotxP2PtWWWG5n+LR4/AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:18.788885Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.04716","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c9e44545d6f29b660b1846bfa5d36dbe5b7a3bb54183df2b9faff72f21e24f1","sha256:814719e0a2a0879424c2bfb76c98e37bc8c05aad328567a0cac8638816705139"],"state_sha256":"94878984604d4d25f18511194f2aefebd4f86871bab70d1dbfb6c2ff7d774321"}