{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:5XBDOJE5CPQ7XUFNAUUFHROGYL","short_pith_number":"pith:5XBDOJE5","schema_version":"1.0","canonical_sha256":"edc237249d13e1fbd0ad052853c5c6c2cef32485210d5605fd9fe24efcff6e0d","source":{"kind":"arxiv","id":"1707.06385","version":1},"attestation_state":"computed","paper":{"title":"Moduli Spaces of Affine Homogeneous Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Gregor Weingart","submitted_at":"2017-07-20T06:20:55Z","abstract_excerpt":"Apart from global topological problems an affine homogeneous space is locally described by its curvature, its torsion and a slightly less tangible object called its connection in a given base point. Using this description of the local geometry of an affine homogeneous space we construct an algebraic variety $\\mathfrak{M}(\\mathfrak{gl}\\,V)$, which serves as a coarse moduli space for the local isometry classes of affine homogeneous spaces of dimension dim V. Moreover we associate a $\\mathrm{Sym}V^*$-comodule to a point in $\\mathfrak{M}(\\mathfrak{gl}\\,V\\,)$ and use its Spencer cohomology in order"},"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":"1707.06385","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-07-20T06:20:55Z","cross_cats_sorted":[],"title_canon_sha256":"fe7583812e1323287468d4523ca71435370cda525d761134e7d534a677139f9a","abstract_canon_sha256":"f3670cb4b456d92cbaef2e6021db6a0f118504b7db1777a815e6fdf6d35f6fff"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:39:53.921476Z","signature_b64":"q1+JTzWzIrT2VBfU2aLtltlqVABR9To6P7G/iUV14euMJ//5sz8myhcYTz2oUjIJCGvjSo0a1WjMXA/Yh0adCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"edc237249d13e1fbd0ad052853c5c6c2cef32485210d5605fd9fe24efcff6e0d","last_reissued_at":"2026-05-18T00:39:53.920813Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:39:53.920813Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Moduli Spaces of Affine Homogeneous Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Gregor Weingart","submitted_at":"2017-07-20T06:20:55Z","abstract_excerpt":"Apart from global topological problems an affine homogeneous space is locally described by its curvature, its torsion and a slightly less tangible object called its connection in a given base point. Using this description of the local geometry of an affine homogeneous space we construct an algebraic variety $\\mathfrak{M}(\\mathfrak{gl}\\,V)$, which serves as a coarse moduli space for the local isometry classes of affine homogeneous spaces of dimension dim V. Moreover we associate a $\\mathrm{Sym}V^*$-comodule to a point in $\\mathfrak{M}(\\mathfrak{gl}\\,V\\,)$ and use its Spencer cohomology in order"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.06385","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":"1707.06385","created_at":"2026-05-18T00:39:53.920911+00:00"},{"alias_kind":"arxiv_version","alias_value":"1707.06385v1","created_at":"2026-05-18T00:39:53.920911+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.06385","created_at":"2026-05-18T00:39:53.920911+00:00"},{"alias_kind":"pith_short_12","alias_value":"5XBDOJE5CPQ7","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_16","alias_value":"5XBDOJE5CPQ7XUFN","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_8","alias_value":"5XBDOJE5","created_at":"2026-05-18T12:31:03.183658+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/5XBDOJE5CPQ7XUFNAUUFHROGYL","json":"https://pith.science/pith/5XBDOJE5CPQ7XUFNAUUFHROGYL.json","graph_json":"https://pith.science/api/pith-number/5XBDOJE5CPQ7XUFNAUUFHROGYL/graph.json","events_json":"https://pith.science/api/pith-number/5XBDOJE5CPQ7XUFNAUUFHROGYL/events.json","paper":"https://pith.science/paper/5XBDOJE5"},"agent_actions":{"view_html":"https://pith.science/pith/5XBDOJE5CPQ7XUFNAUUFHROGYL","download_json":"https://pith.science/pith/5XBDOJE5CPQ7XUFNAUUFHROGYL.json","view_paper":"https://pith.science/paper/5XBDOJE5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1707.06385&json=true","fetch_graph":"https://pith.science/api/pith-number/5XBDOJE5CPQ7XUFNAUUFHROGYL/graph.json","fetch_events":"https://pith.science/api/pith-number/5XBDOJE5CPQ7XUFNAUUFHROGYL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5XBDOJE5CPQ7XUFNAUUFHROGYL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5XBDOJE5CPQ7XUFNAUUFHROGYL/action/storage_attestation","attest_author":"https://pith.science/pith/5XBDOJE5CPQ7XUFNAUUFHROGYL/action/author_attestation","sign_citation":"https://pith.science/pith/5XBDOJE5CPQ7XUFNAUUFHROGYL/action/citation_signature","submit_replication":"https://pith.science/pith/5XBDOJE5CPQ7XUFNAUUFHROGYL/action/replication_record"}},"created_at":"2026-05-18T00:39:53.920911+00:00","updated_at":"2026-05-18T00:39:53.920911+00:00"}