{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:PPSIXILKK5IUQLWZ43ACI2CTIO","short_pith_number":"pith:PPSIXILK","schema_version":"1.0","canonical_sha256":"7be48ba16a5751482ed9e6c0246853439b2daa0ff78cd98e353da6c8b331094d","source":{"kind":"arxiv","id":"2009.11909","version":3},"attestation_state":"computed","paper":{"title":"The character map in (twisted differential) non-abelian cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.DG","math.MP"],"primary_cat":"math.AT","authors_text":"Domenico Fiorenza, Hisham Sati, Urs Schreiber","submitted_at":"2020-09-24T19:07:41Z","abstract_excerpt":"We extend the Chern character on K-theory, in its generalization to the Chern-Dold character on generalized cohomology theories, further to (twisted, differential) non-abelian cohomology theories, where its target is a non-abelian de Rham cohomology of twisted L-infinity algebra valued differential forms. The construction amounts to leveraging the fundamental theorem of dg-algebraic rational homotopy theory to a twisted non-abelian generalization of the de Rham theorem. We show that the non-abelian character reproduces, besides the Chern-Dold character, also the Chern-Weil homomorphism as well"},"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":"2009.11909","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2020-09-24T19:07:41Z","cross_cats_sorted":["hep-th","math-ph","math.DG","math.MP"],"title_canon_sha256":"9a8e31b2e5cb91723de9dcdfc11057ffe458fb608a98a822caa37443f52a0a5d","abstract_canon_sha256":"fc25cd673452a1df4740f5d6e243fc528ed1f4d57294d4a79e105811c6bdf8c7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:16:29.784387Z","signature_b64":"zbSWxaZ0u6veTAW9s5BzACwuXHehUohouC8lHKyxVSS4fJpC92DYQK1IhqWqEBqwa9m2tXQ199DwEQ7FVD7MCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7be48ba16a5751482ed9e6c0246853439b2daa0ff78cd98e353da6c8b331094d","last_reissued_at":"2026-07-05T07:16:29.783982Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:16:29.783982Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The character map in (twisted differential) non-abelian cohomology","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.DG","math.MP"],"primary_cat":"math.AT","authors_text":"Domenico Fiorenza, Hisham Sati, Urs Schreiber","submitted_at":"2020-09-24T19:07:41Z","abstract_excerpt":"We extend the Chern character on K-theory, in its generalization to the Chern-Dold character on generalized cohomology theories, further to (twisted, differential) non-abelian cohomology theories, where its target is a non-abelian de Rham cohomology of twisted L-infinity algebra valued differential forms. The construction amounts to leveraging the fundamental theorem of dg-algebraic rational homotopy theory to a twisted non-abelian generalization of the de Rham theorem. We show that the non-abelian character reproduces, besides the Chern-Dold character, also the Chern-Weil homomorphism as well"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.11909","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2009.11909/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2009.11909","created_at":"2026-07-05T07:16:29.784030+00:00"},{"alias_kind":"arxiv_version","alias_value":"2009.11909v3","created_at":"2026-07-05T07:16:29.784030+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.11909","created_at":"2026-07-05T07:16:29.784030+00:00"},{"alias_kind":"pith_short_12","alias_value":"PPSIXILKK5IU","created_at":"2026-07-05T07:16:29.784030+00:00"},{"alias_kind":"pith_short_16","alias_value":"PPSIXILKK5IUQLWZ","created_at":"2026-07-05T07:16:29.784030+00:00"},{"alias_kind":"pith_short_8","alias_value":"PPSIXILK","created_at":"2026-07-05T07:16:29.784030+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/PPSIXILKK5IUQLWZ43ACI2CTIO","json":"https://pith.science/pith/PPSIXILKK5IUQLWZ43ACI2CTIO.json","graph_json":"https://pith.science/api/pith-number/PPSIXILKK5IUQLWZ43ACI2CTIO/graph.json","events_json":"https://pith.science/api/pith-number/PPSIXILKK5IUQLWZ43ACI2CTIO/events.json","paper":"https://pith.science/paper/PPSIXILK"},"agent_actions":{"view_html":"https://pith.science/pith/PPSIXILKK5IUQLWZ43ACI2CTIO","download_json":"https://pith.science/pith/PPSIXILKK5IUQLWZ43ACI2CTIO.json","view_paper":"https://pith.science/paper/PPSIXILK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2009.11909&json=true","fetch_graph":"https://pith.science/api/pith-number/PPSIXILKK5IUQLWZ43ACI2CTIO/graph.json","fetch_events":"https://pith.science/api/pith-number/PPSIXILKK5IUQLWZ43ACI2CTIO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PPSIXILKK5IUQLWZ43ACI2CTIO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PPSIXILKK5IUQLWZ43ACI2CTIO/action/storage_attestation","attest_author":"https://pith.science/pith/PPSIXILKK5IUQLWZ43ACI2CTIO/action/author_attestation","sign_citation":"https://pith.science/pith/PPSIXILKK5IUQLWZ43ACI2CTIO/action/citation_signature","submit_replication":"https://pith.science/pith/PPSIXILKK5IUQLWZ43ACI2CTIO/action/replication_record"}},"created_at":"2026-07-05T07:16:29.784030+00:00","updated_at":"2026-07-05T07:16:29.784030+00:00"}