{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:KU5KOORHVNSLF76XSVAO6T4ULZ","short_pith_number":"pith:KU5KOORH","canonical_record":{"source":{"id":"1310.7407","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-10-28T13:23:13Z","cross_cats_sorted":["math.CT","math.LO"],"title_canon_sha256":"d374459ff6553bd1a7a2cf8db2659a9b5d2990829f3d111f2bce18e6d18ec005","abstract_canon_sha256":"e4ee4d166707798a65b1d25d3e788c97bbc742aef256757bc34cb8a9f5cc1754"},"schema_version":"1.0"},"canonical_sha256":"553aa73a27ab64b2ffd79540ef4f945e696757aa8fa245a845b6d6a277f92f9f","source":{"kind":"arxiv","id":"1310.7407","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.7407","created_at":"2026-05-18T03:08:45Z"},{"alias_kind":"arxiv_version","alias_value":"1310.7407v1","created_at":"2026-05-18T03:08:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.7407","created_at":"2026-05-18T03:08:45Z"},{"alias_kind":"pith_short_12","alias_value":"KU5KOORHVNSL","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KU5KOORHVNSLF76X","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KU5KOORH","created_at":"2026-05-18T12:27:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:KU5KOORHVNSLF76XSVAO6T4ULZ","target":"record","payload":{"canonical_record":{"source":{"id":"1310.7407","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-10-28T13:23:13Z","cross_cats_sorted":["math.CT","math.LO"],"title_canon_sha256":"d374459ff6553bd1a7a2cf8db2659a9b5d2990829f3d111f2bce18e6d18ec005","abstract_canon_sha256":"e4ee4d166707798a65b1d25d3e788c97bbc742aef256757bc34cb8a9f5cc1754"},"schema_version":"1.0"},"canonical_sha256":"553aa73a27ab64b2ffd79540ef4f945e696757aa8fa245a845b6d6a277f92f9f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:08:45.418237Z","signature_b64":"7ZLWYFOVmacD0IIPnMmbJHm36Xh08wk4Tbfht0cx1+9os8drkULmzoqbnavxIts7tVtHgDcB/gYrdXMioV5XBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"553aa73a27ab64b2ffd79540ef4f945e696757aa8fa245a845b6d6a277f92f9f","last_reissued_at":"2026-05-18T03:08:45.417584Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:08:45.417584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1310.7407","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:08:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T8kRJhWA9mtys5kc0uLfpDmw7eTq9KaXR9GCXKnW3PFBAzKyQknSkd977X8zuCPszhnt/GTdlK4Cypzi/dOcDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:41:54.384593Z"},"content_sha256":"cf9cf63126e4908503a6e7a9bec0fbb994016d05d2375dcff2f31df648cd0d61","schema_version":"1.0","event_id":"sha256:cf9cf63126e4908503a6e7a9bec0fbb994016d05d2375dcff2f31df648cd0d61"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:KU5KOORHVNSLF76XSVAO6T4ULZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cosimplicial C-infinity rings and the de Rham complex of Euclidean space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT","math.LO"],"primary_cat":"math.DG","authors_text":"Herman Stel","submitted_at":"2013-10-28T13:23:13Z","abstract_excerpt":"A C-infinity ring is a set equipped with n-ary operations corresponding to smooth n-ary functions on the real line (satisfying natural axioms). We prove that the cosimplicial abelian group associated to the de Rham complex of Euclidean space has the structure of a cosimplicial C-infinity ring. We also analyse the notion of R-module (following Quillen) for a (co-)simplicial C-infinity ring R."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7407","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:08:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6qdXoPHmG948/G2VnC9FqNFvi/8a+qB268hGKUboS7qYHf/NtOIc7YC8KuyAhgZA0BiKaB/ia9npPr0fxlahBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T00:41:54.385057Z"},"content_sha256":"17a007bcade2c2b5b9131ed8e46f14f884404b1702aa7b33a8e242814e2b1bb8","schema_version":"1.0","event_id":"sha256:17a007bcade2c2b5b9131ed8e46f14f884404b1702aa7b33a8e242814e2b1bb8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KU5KOORHVNSLF76XSVAO6T4ULZ/bundle.json","state_url":"https://pith.science/pith/KU5KOORHVNSLF76XSVAO6T4ULZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KU5KOORHVNSLF76XSVAO6T4ULZ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T00:41:54Z","links":{"resolver":"https://pith.science/pith/KU5KOORHVNSLF76XSVAO6T4ULZ","bundle":"https://pith.science/pith/KU5KOORHVNSLF76XSVAO6T4ULZ/bundle.json","state":"https://pith.science/pith/KU5KOORHVNSLF76XSVAO6T4ULZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KU5KOORHVNSLF76XSVAO6T4ULZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:KU5KOORHVNSLF76XSVAO6T4ULZ","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":"e4ee4d166707798a65b1d25d3e788c97bbc742aef256757bc34cb8a9f5cc1754","cross_cats_sorted":["math.CT","math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-10-28T13:23:13Z","title_canon_sha256":"d374459ff6553bd1a7a2cf8db2659a9b5d2990829f3d111f2bce18e6d18ec005"},"schema_version":"1.0","source":{"id":"1310.7407","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.7407","created_at":"2026-05-18T03:08:45Z"},{"alias_kind":"arxiv_version","alias_value":"1310.7407v1","created_at":"2026-05-18T03:08:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.7407","created_at":"2026-05-18T03:08:45Z"},{"alias_kind":"pith_short_12","alias_value":"KU5KOORHVNSL","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_16","alias_value":"KU5KOORHVNSLF76X","created_at":"2026-05-18T12:27:51Z"},{"alias_kind":"pith_short_8","alias_value":"KU5KOORH","created_at":"2026-05-18T12:27:51Z"}],"graph_snapshots":[{"event_id":"sha256:17a007bcade2c2b5b9131ed8e46f14f884404b1702aa7b33a8e242814e2b1bb8","target":"graph","created_at":"2026-05-18T03:08:45Z","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":"A C-infinity ring is a set equipped with n-ary operations corresponding to smooth n-ary functions on the real line (satisfying natural axioms). We prove that the cosimplicial abelian group associated to the de Rham complex of Euclidean space has the structure of a cosimplicial C-infinity ring. We also analyse the notion of R-module (following Quillen) for a (co-)simplicial C-infinity ring R.","authors_text":"Herman Stel","cross_cats":["math.CT","math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-10-28T13:23:13Z","title":"Cosimplicial C-infinity rings and the de Rham complex of Euclidean space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.7407","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:cf9cf63126e4908503a6e7a9bec0fbb994016d05d2375dcff2f31df648cd0d61","target":"record","created_at":"2026-05-18T03:08:45Z","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":"e4ee4d166707798a65b1d25d3e788c97bbc742aef256757bc34cb8a9f5cc1754","cross_cats_sorted":["math.CT","math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2013-10-28T13:23:13Z","title_canon_sha256":"d374459ff6553bd1a7a2cf8db2659a9b5d2990829f3d111f2bce18e6d18ec005"},"schema_version":"1.0","source":{"id":"1310.7407","kind":"arxiv","version":1}},"canonical_sha256":"553aa73a27ab64b2ffd79540ef4f945e696757aa8fa245a845b6d6a277f92f9f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"553aa73a27ab64b2ffd79540ef4f945e696757aa8fa245a845b6d6a277f92f9f","first_computed_at":"2026-05-18T03:08:45.417584Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:08:45.417584Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7ZLWYFOVmacD0IIPnMmbJHm36Xh08wk4Tbfht0cx1+9os8drkULmzoqbnavxIts7tVtHgDcB/gYrdXMioV5XBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:08:45.418237Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.7407","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf9cf63126e4908503a6e7a9bec0fbb994016d05d2375dcff2f31df648cd0d61","sha256:17a007bcade2c2b5b9131ed8e46f14f884404b1702aa7b33a8e242814e2b1bb8"],"state_sha256":"d47d02a4a689dee5cfd94c12a3d62ffad896132216f33075123dde6a2e2477f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0oDKrk1HzmRBQH9CLlC0qYUeOx45wbHuiYqmbtqCYCICK9b9zHOtIlsYHLKISiPGyjIwFVtr1UTOzrD7njy3CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T00:41:54.388387Z","bundle_sha256":"8754a7152ebd408747a34bbcd9d3d06dcedd8036b2fcd45886ca8591e0087755"}}