{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:MJMZKWKZFD5YUYEEW5TGKEVNDI","short_pith_number":"pith:MJMZKWKZ","canonical_record":{"source":{"id":"1812.01383","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-04T12:44:20Z","cross_cats_sorted":[],"title_canon_sha256":"e722318f74f976bf7e21e1974d4fb12ccf28f8ef08e803cb61c479b198e5457d","abstract_canon_sha256":"d74e54a9792be8424abea278b9acc79c9820c9ae652a752b4245cecffe2cf995"},"schema_version":"1.0"},"canonical_sha256":"625995595928fb8a6084b7666512ad1a1a21d1939fce5ed7bd5ea00370f2bb60","source":{"kind":"arxiv","id":"1812.01383","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.01383","created_at":"2026-05-17T23:45:32Z"},{"alias_kind":"arxiv_version","alias_value":"1812.01383v1","created_at":"2026-05-17T23:45:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.01383","created_at":"2026-05-17T23:45:32Z"},{"alias_kind":"pith_short_12","alias_value":"MJMZKWKZFD5Y","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MJMZKWKZFD5YUYEE","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MJMZKWKZ","created_at":"2026-05-18T12:32:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:MJMZKWKZFD5YUYEEW5TGKEVNDI","target":"record","payload":{"canonical_record":{"source":{"id":"1812.01383","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-04T12:44:20Z","cross_cats_sorted":[],"title_canon_sha256":"e722318f74f976bf7e21e1974d4fb12ccf28f8ef08e803cb61c479b198e5457d","abstract_canon_sha256":"d74e54a9792be8424abea278b9acc79c9820c9ae652a752b4245cecffe2cf995"},"schema_version":"1.0"},"canonical_sha256":"625995595928fb8a6084b7666512ad1a1a21d1939fce5ed7bd5ea00370f2bb60","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:32.360297Z","signature_b64":"abVfl8ZZlJ/qqWea2ZBUYLqvA6pNG7Rs1iQ1nGQloJuZQvcxICjWumm7snMlThXTIgNivl0agM9k43zwQPdBBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"625995595928fb8a6084b7666512ad1a1a21d1939fce5ed7bd5ea00370f2bb60","last_reissued_at":"2026-05-17T23:45:32.359556Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:32.359556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.01383","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:45:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pgmno+Sjn09agKWyehdCWgBL3zozp8/qMdMxqmbW/lSX5pD1zDuer2F/Pwq82X2KvwH6wEF+Qh2KQf/nr3zTDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:07:44.400292Z"},"content_sha256":"086d534565dada71f088b43fd7af002548761fb70b267359b861aa7849b008e6","schema_version":"1.0","event_id":"sha256:086d534565dada71f088b43fd7af002548761fb70b267359b861aa7849b008e6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:MJMZKWKZFD5YUYEEW5TGKEVNDI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$L_\\infty$ algebras for extended geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jakob Palmkvist, Martin Cederwall","submitted_at":"2018-12-04T12:44:20Z","abstract_excerpt":"Extended geometry provides a unified framework for double geometry, exceptional geometry, etc., i.e., for the geometrisations of the string theory and M-theory dualities. In this talk, we will explain the structure of gauge transformations (generalised diffeomorphisms) in these models. They are generically infinitely reducible, and arise as derived brackets from an underlying Borcherds superalgebra or tensor hierarchy algebra. The infinite reducibility gives rise to an $L_\\infty$ structure, the brackets of which have universal expressions in terms of the underlying superalgebra."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.01383","kind":"arxiv","version":1},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:45:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jnLhuWGQu+EVIHnP/eVe/fGP2qsyudqHAq2pi0o0yiTwmxRXPMgAX49sGKA2fdhVq/oKlx4sq9bmBVUQobzTDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:07:44.400675Z"},"content_sha256":"ce35f653a24874a3cb4e54af6b94f2606d7ec6076c88cbe28fb21d1818fa2a11","schema_version":"1.0","event_id":"sha256:ce35f653a24874a3cb4e54af6b94f2606d7ec6076c88cbe28fb21d1818fa2a11"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MJMZKWKZFD5YUYEEW5TGKEVNDI/bundle.json","state_url":"https://pith.science/pith/MJMZKWKZFD5YUYEEW5TGKEVNDI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MJMZKWKZFD5YUYEEW5TGKEVNDI/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T14:07:44Z","links":{"resolver":"https://pith.science/pith/MJMZKWKZFD5YUYEEW5TGKEVNDI","bundle":"https://pith.science/pith/MJMZKWKZFD5YUYEEW5TGKEVNDI/bundle.json","state":"https://pith.science/pith/MJMZKWKZFD5YUYEEW5TGKEVNDI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MJMZKWKZFD5YUYEEW5TGKEVNDI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MJMZKWKZFD5YUYEEW5TGKEVNDI","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":"d74e54a9792be8424abea278b9acc79c9820c9ae652a752b4245cecffe2cf995","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-04T12:44:20Z","title_canon_sha256":"e722318f74f976bf7e21e1974d4fb12ccf28f8ef08e803cb61c479b198e5457d"},"schema_version":"1.0","source":{"id":"1812.01383","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.01383","created_at":"2026-05-17T23:45:32Z"},{"alias_kind":"arxiv_version","alias_value":"1812.01383v1","created_at":"2026-05-17T23:45:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.01383","created_at":"2026-05-17T23:45:32Z"},{"alias_kind":"pith_short_12","alias_value":"MJMZKWKZFD5Y","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"MJMZKWKZFD5YUYEE","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"MJMZKWKZ","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:ce35f653a24874a3cb4e54af6b94f2606d7ec6076c88cbe28fb21d1818fa2a11","target":"graph","created_at":"2026-05-17T23:45:32Z","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":"Extended geometry provides a unified framework for double geometry, exceptional geometry, etc., i.e., for the geometrisations of the string theory and M-theory dualities. In this talk, we will explain the structure of gauge transformations (generalised diffeomorphisms) in these models. They are generically infinitely reducible, and arise as derived brackets from an underlying Borcherds superalgebra or tensor hierarchy algebra. The infinite reducibility gives rise to an $L_\\infty$ structure, the brackets of which have universal expressions in terms of the underlying superalgebra.","authors_text":"Jakob Palmkvist, Martin Cederwall","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-04T12:44:20Z","title":"$L_\\infty$ algebras for extended geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.01383","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":"sha256:086d534565dada71f088b43fd7af002548761fb70b267359b861aa7849b008e6","target":"record","created_at":"2026-05-17T23:45:32Z","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":"d74e54a9792be8424abea278b9acc79c9820c9ae652a752b4245cecffe2cf995","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-12-04T12:44:20Z","title_canon_sha256":"e722318f74f976bf7e21e1974d4fb12ccf28f8ef08e803cb61c479b198e5457d"},"schema_version":"1.0","source":{"id":"1812.01383","kind":"arxiv","version":1}},"canonical_sha256":"625995595928fb8a6084b7666512ad1a1a21d1939fce5ed7bd5ea00370f2bb60","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"625995595928fb8a6084b7666512ad1a1a21d1939fce5ed7bd5ea00370f2bb60","first_computed_at":"2026-05-17T23:45:32.359556Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:45:32.359556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"abVfl8ZZlJ/qqWea2ZBUYLqvA6pNG7Rs1iQ1nGQloJuZQvcxICjWumm7snMlThXTIgNivl0agM9k43zwQPdBBQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:45:32.360297Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.01383","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:086d534565dada71f088b43fd7af002548761fb70b267359b861aa7849b008e6","sha256:ce35f653a24874a3cb4e54af6b94f2606d7ec6076c88cbe28fb21d1818fa2a11"],"state_sha256":"2e14235e5fade4a7990c091ac9837e57f5d745d92ebe119134a892f809052aee"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z5Lkw756ZScSjhKjbcHUmSRelMLxjqVzdWFcSSL+T9YyppaYUKdjlGfTtg4niTNsvkZCchJ0ndipk4zpAUiGBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T14:07:44.402480Z","bundle_sha256":"678dbf7fc941d7b6b2a3a3e37c921c7902d6d83d3c3675b1c94c12c818673863"}}