{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:YWJ3YZG34GGS6HITR4D47D6UDH","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":"9f910501bf7cf0958c44a1529d2b3826a0e6911d1860e2a2d5e90e0c60eee592","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-12-30T18:30:25Z","title_canon_sha256":"56ba6aa0090939c52b29d48a282d47acb54bb91e326d492909a0cdd0a8d2f81c"},"schema_version":"1.0","source":{"id":"1212.6762","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.6762","created_at":"2026-05-18T03:37:30Z"},{"alias_kind":"arxiv_version","alias_value":"1212.6762v1","created_at":"2026-05-18T03:37:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6762","created_at":"2026-05-18T03:37:30Z"},{"alias_kind":"pith_short_12","alias_value":"YWJ3YZG34GGS","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"YWJ3YZG34GGS6HIT","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"YWJ3YZG3","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:f6d452094462c52c7151ce0615e712faef444c7600fe17767907da7ba256eadd","target":"graph","created_at":"2026-05-18T03:37:30Z","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":"The generalization of the n-dimensional cube, an n-dimensional chain, the exterior derivative and the integral of a differential n-form on it are introduced and investigated. The analogue of Stokes theorem for the differential space is given.","authors_text":"Diana Dziewa-Dawidczyk, Zbigniew Pasternak-Winiarski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-12-30T18:30:25Z","title":"Integration on differential spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6762","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:ee3c74248493d080f97c4d1492df0e2756684426568b2f47b3c48597f20fe04c","target":"record","created_at":"2026-05-18T03:37:30Z","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":"9f910501bf7cf0958c44a1529d2b3826a0e6911d1860e2a2d5e90e0c60eee592","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-12-30T18:30:25Z","title_canon_sha256":"56ba6aa0090939c52b29d48a282d47acb54bb91e326d492909a0cdd0a8d2f81c"},"schema_version":"1.0","source":{"id":"1212.6762","kind":"arxiv","version":1}},"canonical_sha256":"c593bc64dbe18d2f1d138f07cf8fd419f56e04ad79426dd0634ba1cf3057534b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c593bc64dbe18d2f1d138f07cf8fd419f56e04ad79426dd0634ba1cf3057534b","first_computed_at":"2026-05-18T03:37:30.996691Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:30.996691Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LEdyktUX175nMgvrM8kJZAKPry+WcM1LkHETk/1DzVpx3Of2iZqAJx3GlMZ/aA+U3wnBMZyvJd3Ok3Kf4M4dCw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:30.997367Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.6762","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ee3c74248493d080f97c4d1492df0e2756684426568b2f47b3c48597f20fe04c","sha256:f6d452094462c52c7151ce0615e712faef444c7600fe17767907da7ba256eadd"],"state_sha256":"aa973e569fb8f822e988bf509acc12b7cfc041bb84022f9a41bbc4e433064eca"}