{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2004:FMGMIL6UPFWG2VCD2XY4CXM4LY","short_pith_number":"pith:FMGMIL6U","schema_version":"1.0","canonical_sha256":"2b0cc42fd4796c6d5443d5f1c15d9c5e09f68fb6d627c2d6d5d677874ff7a500","source":{"kind":"arxiv","id":"math/0404554","version":1},"attestation_state":"computed","paper":{"title":"G_2-structures with torsion from half-integrable nilmanifolds","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"math.DG","authors_text":"Andrew Swann, Simon Chiossi","submitted_at":"2004-04-30T13:46:52Z","abstract_excerpt":"The equations for a G_2-structure with torsion on a product M^7 = N^6 x S^1 are studied in relation to the induced SU(3)-structure on N^6. All solutions are found in the case when the Lee-form of the G_2-structure is non-zero and N^6 is a six-dimensional nilmanifold with half-integrable SU(3)-structure. Special properties of the torsion of these solutions are discussed."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"math/0404554","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.DG","submitted_at":"2004-04-30T13:46:52Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c7a0d7d2e1042812ffe30a757a058dfef5d1d3dfab9f606b99c7bd47afc7e909","abstract_canon_sha256":"51ab0dfaf3638e65e8a0646c9e8486a1b94636474b5e5c895d847e965aa17207"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:16.784049Z","signature_b64":"GQPjs9GpXcSg4nrQEu28ssT1dbU5oIamObftqJqN6qbnBF9wroSLn9wKlkNrNT+nyuNBXsfxj7BfEKz8Zo49Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2b0cc42fd4796c6d5443d5f1c15d9c5e09f68fb6d627c2d6d5d677874ff7a500","last_reissued_at":"2026-05-18T04:05:16.783430Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:16.783430Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"G_2-structures with torsion from half-integrable nilmanifolds","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"math.DG","authors_text":"Andrew Swann, Simon Chiossi","submitted_at":"2004-04-30T13:46:52Z","abstract_excerpt":"The equations for a G_2-structure with torsion on a product M^7 = N^6 x S^1 are studied in relation to the induced SU(3)-structure on N^6. All solutions are found in the case when the Lee-form of the G_2-structure is non-zero and N^6 is a six-dimensional nilmanifold with half-integrable SU(3)-structure. Special properties of the torsion of these solutions are discussed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0404554","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"math/0404554","created_at":"2026-05-18T04:05:16.783526+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0404554v1","created_at":"2026-05-18T04:05:16.783526+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0404554","created_at":"2026-05-18T04:05:16.783526+00:00"},{"alias_kind":"pith_short_12","alias_value":"FMGMIL6UPFWG","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_16","alias_value":"FMGMIL6UPFWG2VCD","created_at":"2026-05-18T12:25:52.687210+00:00"},{"alias_kind":"pith_short_8","alias_value":"FMGMIL6U","created_at":"2026-05-18T12:25:52.687210+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/FMGMIL6UPFWG2VCD2XY4CXM4LY","json":"https://pith.science/pith/FMGMIL6UPFWG2VCD2XY4CXM4LY.json","graph_json":"https://pith.science/api/pith-number/FMGMIL6UPFWG2VCD2XY4CXM4LY/graph.json","events_json":"https://pith.science/api/pith-number/FMGMIL6UPFWG2VCD2XY4CXM4LY/events.json","paper":"https://pith.science/paper/FMGMIL6U"},"agent_actions":{"view_html":"https://pith.science/pith/FMGMIL6UPFWG2VCD2XY4CXM4LY","download_json":"https://pith.science/pith/FMGMIL6UPFWG2VCD2XY4CXM4LY.json","view_paper":"https://pith.science/paper/FMGMIL6U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0404554&json=true","fetch_graph":"https://pith.science/api/pith-number/FMGMIL6UPFWG2VCD2XY4CXM4LY/graph.json","fetch_events":"https://pith.science/api/pith-number/FMGMIL6UPFWG2VCD2XY4CXM4LY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/FMGMIL6UPFWG2VCD2XY4CXM4LY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/FMGMIL6UPFWG2VCD2XY4CXM4LY/action/storage_attestation","attest_author":"https://pith.science/pith/FMGMIL6UPFWG2VCD2XY4CXM4LY/action/author_attestation","sign_citation":"https://pith.science/pith/FMGMIL6UPFWG2VCD2XY4CXM4LY/action/citation_signature","submit_replication":"https://pith.science/pith/FMGMIL6UPFWG2VCD2XY4CXM4LY/action/replication_record"}},"created_at":"2026-05-18T04:05:16.783526+00:00","updated_at":"2026-05-18T04:05:16.783526+00:00"}