{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:5AEMD34GWVF2XMGKJK2DPI4OFQ","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":"927fcb402158584b7365a7898ef4ca26b0ab1ce45f5bf545765f594be5534b0e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2025-11-06T19:00:03Z","title_canon_sha256":"19d3e0a1918fd2b28a7d3d3c19284de17af00841e26e36b9492f44ac35590d7b"},"schema_version":"1.0","source":{"id":"2511.04743","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2511.04743","created_at":"2026-06-10T01:09:46Z"},{"alias_kind":"arxiv_version","alias_value":"2511.04743v2","created_at":"2026-06-10T01:09:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2511.04743","created_at":"2026-06-10T01:09:46Z"},{"alias_kind":"pith_short_12","alias_value":"5AEMD34GWVF2","created_at":"2026-06-10T01:09:46Z"},{"alias_kind":"pith_short_16","alias_value":"5AEMD34GWVF2XMGK","created_at":"2026-06-10T01:09:46Z"},{"alias_kind":"pith_short_8","alias_value":"5AEMD34G","created_at":"2026-06-10T01:09:46Z"}],"graph_snapshots":[{"event_id":"sha256:390218809ab5377d83e95b823688ef46b317ab3816655533f2f46a9e1e74e13a","target":"graph","created_at":"2026-06-10T01:09:46Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2511.04743/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We introduce the Courant algebroid lift, a new construction that takes a Courant algebroid together with a vector bundle connection and produces, when the connection is flat in the image of the anchor, a Courant algebroid. In general, this lift produces a Courant-like structure that we call a curved Courant algebroid. We start by establishing a hierarchy of Courant algebroid properties and their associated structures. In this setting, we introduce curved Courant algebroids, which we show to be related to connections with torsion and curved differential graded Lie algebras. We use this to provi","authors_text":"Filip Mou\\v{c}ka, Roberto Rubio","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2025-11-06T19:00:03Z","title":"Courant algebroid lifts and curved Courant algebroids"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2511.04743","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":"sha256:2d5599594af57499e1abb6206f793ef468d33444517c4849b61bd203634d0343","target":"record","created_at":"2026-06-10T01:09:46Z","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":"927fcb402158584b7365a7898ef4ca26b0ab1ce45f5bf545765f594be5534b0e","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2025-11-06T19:00:03Z","title_canon_sha256":"19d3e0a1918fd2b28a7d3d3c19284de17af00841e26e36b9492f44ac35590d7b"},"schema_version":"1.0","source":{"id":"2511.04743","kind":"arxiv","version":2}},"canonical_sha256":"e808c1ef86b54babb0ca4ab437a38e2c066e220021603aab47eab173d90e4506","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e808c1ef86b54babb0ca4ab437a38e2c066e220021603aab47eab173d90e4506","first_computed_at":"2026-06-10T01:09:46.495825Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-10T01:09:46.495825Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HSlg+mwCsBLKP4ysHjv6hVQhLFFwr+jZeV8x861Udq1G98ZINFT7Ek3cKyNyhA8zgURunR2rcYtlE0XMAtOAAQ==","signature_status":"signed_v1","signed_at":"2026-06-10T01:09:46.496825Z","signed_message":"canonical_sha256_bytes"},"source_id":"2511.04743","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d5599594af57499e1abb6206f793ef468d33444517c4849b61bd203634d0343","sha256:390218809ab5377d83e95b823688ef46b317ab3816655533f2f46a9e1e74e13a"],"state_sha256":"d15c8fdff3dcf413bb371dfac1661eaa74f604409df7ac5f6f1c0ba6f3ee6f55"}