{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:RT2TYFEHBFKG43I2O5VIVNSSU2","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":"b8faac4bb7b288224a7851def104e7428ce77b1e7d0eada9e93a3602b19a12d6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-12T08:48:50Z","title_canon_sha256":"50511212f4aa13ea48812c81f439d654e219fb592d2bfe87cf9d1fb4ac03a2fd"},"schema_version":"1.0","source":{"id":"1804.04377","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1804.04377","created_at":"2026-05-17T23:47:40Z"},{"alias_kind":"arxiv_version","alias_value":"1804.04377v2","created_at":"2026-05-17T23:47:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1804.04377","created_at":"2026-05-17T23:47:40Z"},{"alias_kind":"pith_short_12","alias_value":"RT2TYFEHBFKG","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"RT2TYFEHBFKG43I2","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"RT2TYFEH","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:87546aec567d8ef6b9a8449e694c94b0a611e63d1182df0ed29d510e076ee130","target":"graph","created_at":"2026-05-17T23:47:40Z","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":"We examine the structure of gauge transformations in extended geometry, the framework unifying double geometry, exceptional geometry, etc. This is done by giving the variations of the ghosts in a Batalin-Vilkovisky framework, or equivalently, an $L_\\infty$ algebra. The $L_\\infty$ brackets are given as derived brackets constructed using an underlying Borcherds superalgebra ${\\scr B}({\\mathfrak g}_{r+1})$, which is a double extension of the structure algebra ${\\mathfrak g}_r$. The construction includes a set of \"ancillary\" ghosts. All brackets involving the infinite sequence of ghosts are given ","authors_text":"Jakob Palmkvist, Martin Cederwall","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-12T08:48:50Z","title":"$L_\\infty$ algebras for extended geometry from Borcherds superalgebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1804.04377","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":"sha256:3623462f9ae29fcd40ea2d8f91951ab816745f0498eca55377b8c81ac2e2aed0","target":"record","created_at":"2026-05-17T23:47:40Z","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":"b8faac4bb7b288224a7851def104e7428ce77b1e7d0eada9e93a3602b19a12d6","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-04-12T08:48:50Z","title_canon_sha256":"50511212f4aa13ea48812c81f439d654e219fb592d2bfe87cf9d1fb4ac03a2fd"},"schema_version":"1.0","source":{"id":"1804.04377","kind":"arxiv","version":2}},"canonical_sha256":"8cf53c148709546e6d1a776a8ab652a69017f843ade36821e397ff0d830d3b69","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8cf53c148709546e6d1a776a8ab652a69017f843ade36821e397ff0d830d3b69","first_computed_at":"2026-05-17T23:47:40.063485Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:40.063485Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s22J4qoougjeh1XdsXHMTeEJSiogaYVfX/qWa07GvhhP1kQFhDqmCSu1eF5DG/45+qpYRU4471B+bJx+3vfLAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:40.063944Z","signed_message":"canonical_sha256_bytes"},"source_id":"1804.04377","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3623462f9ae29fcd40ea2d8f91951ab816745f0498eca55377b8c81ac2e2aed0","sha256:87546aec567d8ef6b9a8449e694c94b0a611e63d1182df0ed29d510e076ee130"],"state_sha256":"9e366ed1e7aed0187ea2b85a7d9e8d297ba3a65ea1db8f64699a0ec1b118083d"}