{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:UL5L4K2QEECXID2RWH6NEQ5YQJ","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":"3977422ee206e91053bc785d9c23d874c584187b5921852e740dbcdfb16c46de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-09T14:24:56Z","title_canon_sha256":"0f67cdbdf0eb6ff948cdf8407ad894b8ee05bc2b10e18d22de181a9b27125c99"},"schema_version":"1.0","source":{"id":"1807.03190","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.03190","created_at":"2026-05-18T00:11:12Z"},{"alias_kind":"arxiv_version","alias_value":"1807.03190v1","created_at":"2026-05-18T00:11:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.03190","created_at":"2026-05-18T00:11:12Z"},{"alias_kind":"pith_short_12","alias_value":"UL5L4K2QEECX","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_16","alias_value":"UL5L4K2QEECXID2R","created_at":"2026-05-18T12:32:56Z"},{"alias_kind":"pith_short_8","alias_value":"UL5L4K2Q","created_at":"2026-05-18T12:32:56Z"}],"graph_snapshots":[{"event_id":"sha256:b36faad0bdba5c6a1aaee2ef618cc81c855d2e3ac0c82f1f365bf4581b6b8758","target":"graph","created_at":"2026-05-18T00:11:12Z","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":"This article is devoted to the study of a higher-dimensional generalisation of de Rham epsilon lines. To a holonomic $D$-module $M$ on a smooth variety $X$ and a generic tuple of $1$-form $(\\nu_1,\\dots,\\nu_n)$, we associate a point of the $K$-theory space $K(X,Z)$. If $X$ is proper this $K$-theory class is related to the de Rham cohomology $R\\Gamma_{dR}(X,M)$. The novel feature of our construction is that $Z$ is allowed to be of dimension $0$. Furthermore, we allow the tuple of $1$-forms to vary in families, and observe that this leads naturally to a crystal akin to the epsilon connection for ","authors_text":"Michael Groechenig","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-09T14:24:56Z","title":"Higher de Rham epsilon factors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.03190","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":"sha256:21786e28a7de3b5889a64e3ef3cd9c94eb5e69de8a85564b36cbd87fe2ff272d","target":"record","created_at":"2026-05-18T00:11:12Z","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":"3977422ee206e91053bc785d9c23d874c584187b5921852e740dbcdfb16c46de","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-07-09T14:24:56Z","title_canon_sha256":"0f67cdbdf0eb6ff948cdf8407ad894b8ee05bc2b10e18d22de181a9b27125c99"},"schema_version":"1.0","source":{"id":"1807.03190","kind":"arxiv","version":1}},"canonical_sha256":"a2fabe2b502105740f51b1fcd243b8827a46aca45ceb81bbbbc39bedeef2de75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2fabe2b502105740f51b1fcd243b8827a46aca45ceb81bbbbc39bedeef2de75","first_computed_at":"2026-05-18T00:11:12.425033Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:12.425033Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xC+fbkIOvHO0lQodlT9HoAtIRp/lZmXvX4KdqNamV8MQPgthKkxc/jsYMmIeFhe4gMWLebRPNLDKEYpvO/gHDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:12.425768Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.03190","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:21786e28a7de3b5889a64e3ef3cd9c94eb5e69de8a85564b36cbd87fe2ff272d","sha256:b36faad0bdba5c6a1aaee2ef618cc81c855d2e3ac0c82f1f365bf4581b6b8758"],"state_sha256":"cba6c6e6845927c28bed59358e036a0a6f85bdb9391f6ba3f069ad593db09d72"}