{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:2E56OYOARQZOX6J44DQXKXLYLO","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":"938aba88ecdd2dee3e823cfc639eb6d5ed11d35a9696543758bb38918f9ec1a2","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"math.DG","submitted_at":"2004-09-08T15:37:13Z","title_canon_sha256":"0b3bc5d3bd97101baea03086c4a125a8c178cac584ca9b4fcb2361a0f83edab8"},"schema_version":"1.0","source":{"id":"math/0409137","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0409137","created_at":"2026-05-18T03:53:18Z"},{"alias_kind":"arxiv_version","alias_value":"math/0409137v1","created_at":"2026-05-18T03:53:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0409137","created_at":"2026-05-18T03:53:18Z"},{"alias_kind":"pith_short_12","alias_value":"2E56OYOARQZO","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"2E56OYOARQZOX6J4","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"2E56OYOA","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:812a3be9e5f9a63338da2ee8079d8286cf42b5c477508524f8ccc2ca9a37d14d","target":"graph","created_at":"2026-05-18T03:53:18Z","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":"Starting from a 6-dimensional nilpotent Lie group N endowed with an invariant SU(3) structure, we construct a homogeneous conformally parallel G_2-metric on an associated solvmanifold. We classify all half-flat SU(3) structures that endow the rank-one solvable extension of N with a conformally parallel G_2 structure. By suitably deforming the SU(3) structures obtained, we are able to describe the corresponding non-homogeneous Ricci-flat metrics with holonomy contained in G_2. In the process we also find a new metric with exceptional holonomy.","authors_text":"Anna Fino, Simon G. Chiossi","cross_cats":["hep-th"],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2004-09-08T15:37:13Z","title":"Conformally parallel G_2 structures on a class of solvmanifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0409137","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":"sha256:9b5a85d08f922d939445042f5bbc36d30788d7a6f248cf9275bbd71a160f33fe","target":"record","created_at":"2026-05-18T03:53:18Z","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":"938aba88ecdd2dee3e823cfc639eb6d5ed11d35a9696543758bb38918f9ec1a2","cross_cats_sorted":["hep-th"],"license":"","primary_cat":"math.DG","submitted_at":"2004-09-08T15:37:13Z","title_canon_sha256":"0b3bc5d3bd97101baea03086c4a125a8c178cac584ca9b4fcb2361a0f83edab8"},"schema_version":"1.0","source":{"id":"math/0409137","kind":"arxiv","version":1}},"canonical_sha256":"d13be761c08c32ebf93ce0e1755d785b81f96c4ba02e7f8d2b06762d86f01249","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d13be761c08c32ebf93ce0e1755d785b81f96c4ba02e7f8d2b06762d86f01249","first_computed_at":"2026-05-18T03:53:18.040405Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:53:18.040405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZjNluntPaOfRv87dCWxRGXM+0deVvNXgqv66pArI6DHyn4suAXAtEb4JNBBfzVTWeJc4uJfyeibqqtONmr7rBw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:53:18.041189Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0409137","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b5a85d08f922d939445042f5bbc36d30788d7a6f248cf9275bbd71a160f33fe","sha256:812a3be9e5f9a63338da2ee8079d8286cf42b5c477508524f8ccc2ca9a37d14d"],"state_sha256":"7c7ecf2d724c0ae58c176a2f2b39c044fc5052a1e67f5461e7eb7caec7d6de10"}