{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:YVIGY3BF5U45PUFLD2MD6NVTWD","short_pith_number":"pith:YVIGY3BF","canonical_record":{"source":{"id":"1402.2513","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-02-11T15:01:19Z","cross_cats_sorted":[],"title_canon_sha256":"6094cf9259f646cfe748c3b913b4070f71c09afbf92505e7bb415679ca0562c5","abstract_canon_sha256":"fa1317293e0830a1e9e1e230757717690e73c6dd6afcfd93fb5f697fc3280e4d"},"schema_version":"1.0"},"canonical_sha256":"c5506c6c25ed39d7d0ab1e983f36b3b0feb247ec0dff3df14952caeab3876933","source":{"kind":"arxiv","id":"1402.2513","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2513","created_at":"2026-05-18T01:44:45Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2513v2","created_at":"2026-05-18T01:44:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2513","created_at":"2026-05-18T01:44:45Z"},{"alias_kind":"pith_short_12","alias_value":"YVIGY3BF5U45","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"YVIGY3BF5U45PUFL","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"YVIGY3BF","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:YVIGY3BF5U45PUFLD2MD6NVTWD","target":"record","payload":{"canonical_record":{"source":{"id":"1402.2513","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-02-11T15:01:19Z","cross_cats_sorted":[],"title_canon_sha256":"6094cf9259f646cfe748c3b913b4070f71c09afbf92505e7bb415679ca0562c5","abstract_canon_sha256":"fa1317293e0830a1e9e1e230757717690e73c6dd6afcfd93fb5f697fc3280e4d"},"schema_version":"1.0"},"canonical_sha256":"c5506c6c25ed39d7d0ab1e983f36b3b0feb247ec0dff3df14952caeab3876933","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:44:45.345661Z","signature_b64":"dwqHt3txRPrJCLU6+usuFXSGIDu5NtkyT6sgwUojeSkXoaR8AAh8wafGy5KHlqUvGjDH1+/9OEp2MzpeFabJCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5506c6c25ed39d7d0ab1e983f36b3b0feb247ec0dff3df14952caeab3876933","last_reissued_at":"2026-05-18T01:44:45.344977Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:44:45.344977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1402.2513","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:44:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1mDTAHiXG9wGADG23DGAc+q2gZowqR0I75T+TlLO79/3CKt+25bL6FiXs4Msmj+3nHVhlFqt2AHu2I5ssA+lAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T19:43:03.142231Z"},"content_sha256":"93cd27fa1aed76de2eec5e1757885f2defeec7a31ef3ec931094e8dbda53cef6","schema_version":"1.0","event_id":"sha256:93cd27fa1aed76de2eec5e1757885f2defeec7a31ef3ec931094e8dbda53cef6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:YVIGY3BF5U45PUFLD2MD6NVTWD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The geometry behind double geometry","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Martin Cederwall","submitted_at":"2014-02-11T15:01:19Z","abstract_excerpt":"Generalised diffeomorphisms in double field theory rely on an O(d,d) structure defined on tangent space. We show that any (pseudo-)Riemannian metric on the doubled space defines such a structure, in the sense that the generalised diffeomorphisms defined using such a metric form an algebra, provided a covariant section condition is fulfilled. Consistent solutions of the section condition gives further restrictions. The case previously considered corresponds to a flat metric. The construction makes it possible to apply double geometry to a larger class of manifolds. Examples of curved defining m"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2513","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:44:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9dkLPLFMljWlBmjovPph4FnbvHn5Vf3GXGr8myUtzQ31AqE4LotbngrXf/apGrro5MiQVUY74RFDtCSkBcKuCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T19:43:03.142801Z"},"content_sha256":"1a91845468fd3d041bb5de73c44cca458ae607dc30bd07d558f44904cc9ef95f","schema_version":"1.0","event_id":"sha256:1a91845468fd3d041bb5de73c44cca458ae607dc30bd07d558f44904cc9ef95f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YVIGY3BF5U45PUFLD2MD6NVTWD/bundle.json","state_url":"https://pith.science/pith/YVIGY3BF5U45PUFLD2MD6NVTWD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YVIGY3BF5U45PUFLD2MD6NVTWD/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":"2026-08-18T19:43:03Z","links":{"resolver":"https://pith.science/pith/YVIGY3BF5U45PUFLD2MD6NVTWD","bundle":"https://pith.science/pith/YVIGY3BF5U45PUFLD2MD6NVTWD/bundle.json","state":"https://pith.science/pith/YVIGY3BF5U45PUFLD2MD6NVTWD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YVIGY3BF5U45PUFLD2MD6NVTWD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YVIGY3BF5U45PUFLD2MD6NVTWD","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":"fa1317293e0830a1e9e1e230757717690e73c6dd6afcfd93fb5f697fc3280e4d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-02-11T15:01:19Z","title_canon_sha256":"6094cf9259f646cfe748c3b913b4070f71c09afbf92505e7bb415679ca0562c5"},"schema_version":"1.0","source":{"id":"1402.2513","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.2513","created_at":"2026-05-18T01:44:45Z"},{"alias_kind":"arxiv_version","alias_value":"1402.2513v2","created_at":"2026-05-18T01:44:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.2513","created_at":"2026-05-18T01:44:45Z"},{"alias_kind":"pith_short_12","alias_value":"YVIGY3BF5U45","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"YVIGY3BF5U45PUFL","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"YVIGY3BF","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:1a91845468fd3d041bb5de73c44cca458ae607dc30bd07d558f44904cc9ef95f","target":"graph","created_at":"2026-05-18T01:44:45Z","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":"Generalised diffeomorphisms in double field theory rely on an O(d,d) structure defined on tangent space. We show that any (pseudo-)Riemannian metric on the doubled space defines such a structure, in the sense that the generalised diffeomorphisms defined using such a metric form an algebra, provided a covariant section condition is fulfilled. Consistent solutions of the section condition gives further restrictions. The case previously considered corresponds to a flat metric. The construction makes it possible to apply double geometry to a larger class of manifolds. Examples of curved defining m","authors_text":"Martin Cederwall","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-02-11T15:01:19Z","title":"The geometry behind double geometry"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.2513","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":"sha256:93cd27fa1aed76de2eec5e1757885f2defeec7a31ef3ec931094e8dbda53cef6","target":"record","created_at":"2026-05-18T01:44:45Z","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":"fa1317293e0830a1e9e1e230757717690e73c6dd6afcfd93fb5f697fc3280e4d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-02-11T15:01:19Z","title_canon_sha256":"6094cf9259f646cfe748c3b913b4070f71c09afbf92505e7bb415679ca0562c5"},"schema_version":"1.0","source":{"id":"1402.2513","kind":"arxiv","version":2}},"canonical_sha256":"c5506c6c25ed39d7d0ab1e983f36b3b0feb247ec0dff3df14952caeab3876933","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5506c6c25ed39d7d0ab1e983f36b3b0feb247ec0dff3df14952caeab3876933","first_computed_at":"2026-05-18T01:44:45.344977Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:44:45.344977Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dwqHt3txRPrJCLU6+usuFXSGIDu5NtkyT6sgwUojeSkXoaR8AAh8wafGy5KHlqUvGjDH1+/9OEp2MzpeFabJCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:44:45.345661Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.2513","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93cd27fa1aed76de2eec5e1757885f2defeec7a31ef3ec931094e8dbda53cef6","sha256:1a91845468fd3d041bb5de73c44cca458ae607dc30bd07d558f44904cc9ef95f"],"state_sha256":"3b0e4ac8bf1fffa717117a00076d661f0de8f9f49bbcaf3271935069d4d6cd46"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eT/FU2OA3Bl1N5qHFUVo22OMBbNSnFB1Dr8qW437bILo36TlpFq3eSeZqrPnILEGLIz8wn2EUrW7ZO2CpUKOAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T19:43:03.148614Z","bundle_sha256":"5408848f031105fb6247fd9302fb4cbe4e48e17af89918c4b6eb1d97e3d2915b"}}