{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:OVAEH3ZWEBNATGHXAK6E2GAZ4T","short_pith_number":"pith:OVAEH3ZW","canonical_record":{"source":{"id":"1002.0541","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-02T17:17:17Z","cross_cats_sorted":[],"title_canon_sha256":"2c38dc02e5073d65239882f72a1eb006c9b64f0fa886e2c8fc0dfa65b0899be2","abstract_canon_sha256":"ab57696f88c7f72ffd5505c4d5b67fdff31f4e060adc17c88a6bac24d991937b"},"schema_version":"1.0"},"canonical_sha256":"754043ef36205a0998f702bc4d1819e4ed32725f79bd6c4d26b4d7b2c4fbf76d","source":{"kind":"arxiv","id":"1002.0541","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.0541","created_at":"2026-05-18T03:10:14Z"},{"alias_kind":"arxiv_version","alias_value":"1002.0541v3","created_at":"2026-05-18T03:10:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0541","created_at":"2026-05-18T03:10:14Z"},{"alias_kind":"pith_short_12","alias_value":"OVAEH3ZWEBNA","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OVAEH3ZWEBNATGHX","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OVAEH3ZW","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:OVAEH3ZWEBNATGHXAK6E2GAZ4T","target":"record","payload":{"canonical_record":{"source":{"id":"1002.0541","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-02T17:17:17Z","cross_cats_sorted":[],"title_canon_sha256":"2c38dc02e5073d65239882f72a1eb006c9b64f0fa886e2c8fc0dfa65b0899be2","abstract_canon_sha256":"ab57696f88c7f72ffd5505c4d5b67fdff31f4e060adc17c88a6bac24d991937b"},"schema_version":"1.0"},"canonical_sha256":"754043ef36205a0998f702bc4d1819e4ed32725f79bd6c4d26b4d7b2c4fbf76d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:14.820152Z","signature_b64":"PWKM8g7w04/JBauONx4oq1OsZiWU7W5Aqhjo7p5bCoGFUKTOzChmBADB6O9qbytxgccYg8r/j11uA9yRORdYCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"754043ef36205a0998f702bc4d1819e4ed32725f79bd6c4d26b4d7b2c4fbf76d","last_reissued_at":"2026-05-18T03:10:14.819606Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:14.819606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1002.0541","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:10:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3l3AOZGDBEklpDVXMEEWBQPV3Z1YHZHOBpySO3D1IWDKWq0X/Gd1pJXp6nWz8WlUt6boDIMj+l9IwGz78ohwCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:03:56.096357Z"},"content_sha256":"586cb27279e18924eecc1081ae23e5845b5e614ba88d4f24827f6abe40f574f6","schema_version":"1.0","event_id":"sha256:586cb27279e18924eecc1081ae23e5845b5e614ba88d4f24827f6abe40f574f6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:OVAEH3ZWEBNATGHXAK6E2GAZ4T","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravity with de Sitter and Unitary Tangent Groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ali H. Chamseddine, Viatcheslav Mukhanov","submitted_at":"2010-02-02T17:17:17Z","abstract_excerpt":"Einstein Gravity can be formulated as a gauge theory with the tangent space respecting the Lorentz symmetry. In this paper we show that the dimension of the tangent space can be larger than the dimension of the manifold and by requiring the invariance of the theory with respect to 5d Lorentz group (de Sitter group) Einstein theory is reproduced unambiguously. The other possibility is to have unitary symmetry on a complex tangent space of the same dimension as the manifold. In this case the resultant theory is Einstein-Strauss Hermitian gravity. The tangent group is important for matter couplin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0541","kind":"arxiv","version":3},"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":"2026-05-18T03:10:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B07QbLmSomzjiqg1+MfCCkClD/HCmADvVS4DZZYzslJJq+ywFoDslKmD5xjC8dYaNtFjGkaOi3zhTgiaEfmUDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:03:56.096726Z"},"content_sha256":"c5a24a90282dee3ed29389f69fbb5181f82c72779b38c48d705fdd85b1d686bc","schema_version":"1.0","event_id":"sha256:c5a24a90282dee3ed29389f69fbb5181f82c72779b38c48d705fdd85b1d686bc"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OVAEH3ZWEBNATGHXAK6E2GAZ4T/bundle.json","state_url":"https://pith.science/pith/OVAEH3ZWEBNATGHXAK6E2GAZ4T/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OVAEH3ZWEBNATGHXAK6E2GAZ4T/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":"2026-06-02T05:03:56Z","links":{"resolver":"https://pith.science/pith/OVAEH3ZWEBNATGHXAK6E2GAZ4T","bundle":"https://pith.science/pith/OVAEH3ZWEBNATGHXAK6E2GAZ4T/bundle.json","state":"https://pith.science/pith/OVAEH3ZWEBNATGHXAK6E2GAZ4T/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OVAEH3ZWEBNATGHXAK6E2GAZ4T/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:OVAEH3ZWEBNATGHXAK6E2GAZ4T","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":"ab57696f88c7f72ffd5505c4d5b67fdff31f4e060adc17c88a6bac24d991937b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-02T17:17:17Z","title_canon_sha256":"2c38dc02e5073d65239882f72a1eb006c9b64f0fa886e2c8fc0dfa65b0899be2"},"schema_version":"1.0","source":{"id":"1002.0541","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1002.0541","created_at":"2026-05-18T03:10:14Z"},{"alias_kind":"arxiv_version","alias_value":"1002.0541v3","created_at":"2026-05-18T03:10:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1002.0541","created_at":"2026-05-18T03:10:14Z"},{"alias_kind":"pith_short_12","alias_value":"OVAEH3ZWEBNA","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"OVAEH3ZWEBNATGHX","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"OVAEH3ZW","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:c5a24a90282dee3ed29389f69fbb5181f82c72779b38c48d705fdd85b1d686bc","target":"graph","created_at":"2026-05-18T03:10:14Z","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":"Einstein Gravity can be formulated as a gauge theory with the tangent space respecting the Lorentz symmetry. In this paper we show that the dimension of the tangent space can be larger than the dimension of the manifold and by requiring the invariance of the theory with respect to 5d Lorentz group (de Sitter group) Einstein theory is reproduced unambiguously. The other possibility is to have unitary symmetry on a complex tangent space of the same dimension as the manifold. In this case the resultant theory is Einstein-Strauss Hermitian gravity. The tangent group is important for matter couplin","authors_text":"Ali H. Chamseddine, Viatcheslav Mukhanov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-02T17:17:17Z","title":"Gravity with de Sitter and Unitary Tangent Groups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1002.0541","kind":"arxiv","version":3},"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":"sha256:586cb27279e18924eecc1081ae23e5845b5e614ba88d4f24827f6abe40f574f6","target":"record","created_at":"2026-05-18T03:10:14Z","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":"ab57696f88c7f72ffd5505c4d5b67fdff31f4e060adc17c88a6bac24d991937b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-02-02T17:17:17Z","title_canon_sha256":"2c38dc02e5073d65239882f72a1eb006c9b64f0fa886e2c8fc0dfa65b0899be2"},"schema_version":"1.0","source":{"id":"1002.0541","kind":"arxiv","version":3}},"canonical_sha256":"754043ef36205a0998f702bc4d1819e4ed32725f79bd6c4d26b4d7b2c4fbf76d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"754043ef36205a0998f702bc4d1819e4ed32725f79bd6c4d26b4d7b2c4fbf76d","first_computed_at":"2026-05-18T03:10:14.819606Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:14.819606Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PWKM8g7w04/JBauONx4oq1OsZiWU7W5Aqhjo7p5bCoGFUKTOzChmBADB6O9qbytxgccYg8r/j11uA9yRORdYCA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:14.820152Z","signed_message":"canonical_sha256_bytes"},"source_id":"1002.0541","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:586cb27279e18924eecc1081ae23e5845b5e614ba88d4f24827f6abe40f574f6","sha256:c5a24a90282dee3ed29389f69fbb5181f82c72779b38c48d705fdd85b1d686bc"],"state_sha256":"9e8ab768872cb22ee09c9955442284081c63ccb0650fb0db8feee438a6c042f4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zut/CVUf3TWrIryVFsNigJzlVkMNpi3F5F9IBmc9mcafmmteWapoCwL09DBRDxvZWnMcIljVqMrLqbZ1YmYlDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T05:03:56.098865Z","bundle_sha256":"f3a0a4fcdfc9056172e857a962a31f29c674fc88f557869d8311b27e4a06e274"}}