{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:YFNEHWZN6C2CMV3UTSNQZFUZ2B","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":"baf40be26070377b5335aee7610ece34cab5f5678dfaf2abe3fdbfbda6cf9345","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"math.DG","submitted_at":"2005-11-09T18:58:01Z","title_canon_sha256":"2be3e8948a7f096da557b02ad3a3c3494fa9aa34ed68947b3a03423f1a071994"},"schema_version":"1.0","source":{"id":"math/0511242","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0511242","created_at":"2026-05-18T01:08:50Z"},{"alias_kind":"arxiv_version","alias_value":"math/0511242v2","created_at":"2026-05-18T01:08:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0511242","created_at":"2026-05-18T01:08:50Z"},{"alias_kind":"pith_short_12","alias_value":"YFNEHWZN6C2C","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"YFNEHWZN6C2CMV3U","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"YFNEHWZN","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:ceb47865303176bcb5a0a50a973dd33b3249b7d9e0b69bed24aabea1d0197612","target":"graph","created_at":"2026-05-18T01:08:50Z","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 construct geometric examples of N-differential graded algebras such as the algebra of differential forms of depth $N$ on an affine manifold, and $N$-flat covariant derivatives.","authors_text":"Mauricio Angel, Rafael D\\'iaz","cross_cats":["math-ph","math.MP"],"headline":"","license":"","primary_cat":"math.DG","submitted_at":"2005-11-09T18:58:01Z","title":"N-flat connections"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0511242","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":"sha256:3b86dcf9fdfafc5afb8cc8bd1c7aca1e2ad048af1b1f69dd011bdde63ba556fe","target":"record","created_at":"2026-05-18T01:08:50Z","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":"baf40be26070377b5335aee7610ece34cab5f5678dfaf2abe3fdbfbda6cf9345","cross_cats_sorted":["math-ph","math.MP"],"license":"","primary_cat":"math.DG","submitted_at":"2005-11-09T18:58:01Z","title_canon_sha256":"2be3e8948a7f096da557b02ad3a3c3494fa9aa34ed68947b3a03423f1a071994"},"schema_version":"1.0","source":{"id":"math/0511242","kind":"arxiv","version":2}},"canonical_sha256":"c15a43db2df0b42657749c9b0c9699d05bbce17b8b171e2b5f1652868d08fa13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c15a43db2df0b42657749c9b0c9699d05bbce17b8b171e2b5f1652868d08fa13","first_computed_at":"2026-05-18T01:08:50.788756Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:08:50.788756Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h/5ptkKfVBCQnBXHvFnkfCClBLMqBiMVmCxRtoQDGCGcNa+IFjQzrAuF/bheWoMBueYs1Dru3W3lPAXHQq0LDw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:08:50.789247Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0511242","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3b86dcf9fdfafc5afb8cc8bd1c7aca1e2ad048af1b1f69dd011bdde63ba556fe","sha256:ceb47865303176bcb5a0a50a973dd33b3249b7d9e0b69bed24aabea1d0197612"],"state_sha256":"cc1b68858bd4ec6a9cdc99982e04e85ab9fd48b8a6308f77d0a4b84ef5997c4c"}