{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:F73F525JUI2KLVKPQ6ZIIVHQ6D","short_pith_number":"pith:F73F525J","schema_version":"1.0","canonical_sha256":"2ff65eeba9a234a5d54f87b28454f0f0e121d116e838df507303297b5b916f66","source":{"kind":"arxiv","id":"1109.0875","version":2},"attestation_state":"computed","paper":{"title":"Conformal Courant Algebroids and Orientifold T-duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"David Baraglia","submitted_at":"2011-09-05T12:40:36Z","abstract_excerpt":"We introduce conformal Courant algebroids, a mild generalization of Courant algebroids in which only a conformal structure rather than a bilinear form is assumed. We introduce exact conformal Courant algebroids and show they are classified by pairs $(L,H)$ with $L$ a flat line bundle and $H \\in H^3(M,L)$ a degree 3 class with coefficients in $L$. As a special case gerbes for the crossed module $({\\rm U}(1) \\to \\mathbb{Z}_2)$ can be used to twist $TM \\oplus T^*M$ into a conformal Courant algebroid. In the exact case there is a twisted cohomology which is 4-periodic if $L^2 = 1$. The structure o"},"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":"1109.0875","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-09-05T12:40:36Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"8b2015e5743781b7a28ab15551e285e4e34d3b3e37ba7b8587158404e7c434a8","abstract_canon_sha256":"7b13595649fc00c813c03888725139d45888c5d8068e59b41d8972ee5f77c34d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:15:06.808594Z","signature_b64":"eWSR3JOJULr79RDgWdzwD45XDTckWvRyfcGkSRBpjHNWMmH4OKaJasKggJNN3GjxvKdHLiK0+k11l+XfuAR7Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2ff65eeba9a234a5d54f87b28454f0f0e121d116e838df507303297b5b916f66","last_reissued_at":"2026-05-18T03:15:06.807734Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:15:06.807734Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Conformal Courant Algebroids and Orientifold T-duality","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"David Baraglia","submitted_at":"2011-09-05T12:40:36Z","abstract_excerpt":"We introduce conformal Courant algebroids, a mild generalization of Courant algebroids in which only a conformal structure rather than a bilinear form is assumed. We introduce exact conformal Courant algebroids and show they are classified by pairs $(L,H)$ with $L$ a flat line bundle and $H \\in H^3(M,L)$ a degree 3 class with coefficients in $L$. As a special case gerbes for the crossed module $({\\rm U}(1) \\to \\mathbb{Z}_2)$ can be used to twist $TM \\oplus T^*M$ into a conformal Courant algebroid. In the exact case there is a twisted cohomology which is 4-periodic if $L^2 = 1$. The structure o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.0875","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1109.0875","created_at":"2026-05-18T03:15:06.807861+00:00"},{"alias_kind":"arxiv_version","alias_value":"1109.0875v2","created_at":"2026-05-18T03:15:06.807861+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.0875","created_at":"2026-05-18T03:15:06.807861+00:00"},{"alias_kind":"pith_short_12","alias_value":"F73F525JUI2K","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"F73F525JUI2KLVKP","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"F73F525J","created_at":"2026-05-18T12:26:28.662955+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/F73F525JUI2KLVKPQ6ZIIVHQ6D","json":"https://pith.science/pith/F73F525JUI2KLVKPQ6ZIIVHQ6D.json","graph_json":"https://pith.science/api/pith-number/F73F525JUI2KLVKPQ6ZIIVHQ6D/graph.json","events_json":"https://pith.science/api/pith-number/F73F525JUI2KLVKPQ6ZIIVHQ6D/events.json","paper":"https://pith.science/paper/F73F525J"},"agent_actions":{"view_html":"https://pith.science/pith/F73F525JUI2KLVKPQ6ZIIVHQ6D","download_json":"https://pith.science/pith/F73F525JUI2KLVKPQ6ZIIVHQ6D.json","view_paper":"https://pith.science/paper/F73F525J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1109.0875&json=true","fetch_graph":"https://pith.science/api/pith-number/F73F525JUI2KLVKPQ6ZIIVHQ6D/graph.json","fetch_events":"https://pith.science/api/pith-number/F73F525JUI2KLVKPQ6ZIIVHQ6D/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F73F525JUI2KLVKPQ6ZIIVHQ6D/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F73F525JUI2KLVKPQ6ZIIVHQ6D/action/storage_attestation","attest_author":"https://pith.science/pith/F73F525JUI2KLVKPQ6ZIIVHQ6D/action/author_attestation","sign_citation":"https://pith.science/pith/F73F525JUI2KLVKPQ6ZIIVHQ6D/action/citation_signature","submit_replication":"https://pith.science/pith/F73F525JUI2KLVKPQ6ZIIVHQ6D/action/replication_record"}},"created_at":"2026-05-18T03:15:06.807861+00:00","updated_at":"2026-05-18T03:15:06.807861+00:00"}