{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:NRHQ2EDHOWALYINMC5KGIODMGA","short_pith_number":"pith:NRHQ2EDH","canonical_record":{"source":{"id":"hep-th/0606197","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-06-20T17:23:04Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"d924d6ed1a2dc1250dcd032c149da2e22c385bd45b09e899dc5b44f8b8a4b48d","abstract_canon_sha256":"d763b6b93dfcb3784a9246e5f3f327c693b4e5f5f568f48342510ae00123d435"},"schema_version":"1.0"},"canonical_sha256":"6c4f0d10677580bc21ac175464386c3027ef8e1da1fc50ffdd4ebc7ebfa8b1aa","source":{"kind":"arxiv","id":"hep-th/0606197","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0606197","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0606197v2","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0606197","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"NRHQ2EDHOWAL","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"pith_short_16","alias_value":"NRHQ2EDHOWALYINM","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"pith_short_8","alias_value":"NRHQ2EDH","created_at":"2026-07-04T15:22:40Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:NRHQ2EDHOWALYINMC5KGIODMGA","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0606197","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-06-20T17:23:04Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"d924d6ed1a2dc1250dcd032c149da2e22c385bd45b09e899dc5b44f8b8a4b48d","abstract_canon_sha256":"d763b6b93dfcb3784a9246e5f3f327c693b4e5f5f568f48342510ae00123d435"},"schema_version":"1.0"},"canonical_sha256":"6c4f0d10677580bc21ac175464386c3027ef8e1da1fc50ffdd4ebc7ebfa8b1aa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:22:40.532569Z","signature_b64":"yUtLDg0TxHNnCRzx6+EfAX0ZCivpqGaZC/da/JK4+TLOmZhi0tptYSRVGGJLQlv/zUF/RvMjIStISU9UaxDnCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c4f0d10677580bc21ac175464386c3027ef8e1da1fc50ffdd4ebc7ebfa8b1aa","last_reissued_at":"2026-07-04T15:22:40.532129Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:22:40.532129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0606197","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":"2026-07-04T15:22:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"54wdj7rRaHA1DK8uAvzLxrTlfAEy/ySXKQEZoVbhQbi8G70OaDUl+zDEZvGIl2k1AInScXOAruWWoglohOs6DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T02:13:27.860720Z"},"content_sha256":"f5674779b378830fcbe91cde910ad2d86999d3e5eb50196b2c2130b7880165d1","schema_version":"1.0","event_id":"sha256:f5674779b378830fcbe91cde910ad2d86999d3e5eb50196b2c2130b7880165d1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:NRHQ2EDHOWALYINMC5KGIODMGA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Drinfeld Twist and General Relativity with Fuzzy Spaces","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Christian Saemann, Seckin Kurkcuoglu","submitted_at":"2006-06-20T17:23:04Z","abstract_excerpt":"We give a simplified formula for the star product on CP^n_L, which enables us to define a twist element suited for discussing a Drinfeld twist like structure on fuzzy complex projective spaces. The existence of such a twist will have several consequences for field theories on fuzzy spaces, some of which we discuss in the present paper. As expected, we find that the twist of the coproduct is trivial for the generators of isometries on CP^n_L. Furthermore, the twist allows us to define a covariant tensor calculus on CP^n_L from the perspective of the standard embedding of CP^n in flat Euclidean "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0606197","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0606197/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T15:22:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9XR7E2QfclxlSMClnQSajDAErni4LEeLWQdtdr1Sc2BZoiQL5Jk3siwxa44UvIwTl2kWp3t5opk0xFXUz6TrDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T02:13:27.861099Z"},"content_sha256":"e9b7f4df3368af0e7450429f8d78af8a18c549279ae11fa22e6e24c23feaa364","schema_version":"1.0","event_id":"sha256:e9b7f4df3368af0e7450429f8d78af8a18c549279ae11fa22e6e24c23feaa364"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NRHQ2EDHOWALYINMC5KGIODMGA/bundle.json","state_url":"https://pith.science/pith/NRHQ2EDHOWALYINMC5KGIODMGA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NRHQ2EDHOWALYINMC5KGIODMGA/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":"2026-07-05T02:13:27Z","links":{"resolver":"https://pith.science/pith/NRHQ2EDHOWALYINMC5KGIODMGA","bundle":"https://pith.science/pith/NRHQ2EDHOWALYINMC5KGIODMGA/bundle.json","state":"https://pith.science/pith/NRHQ2EDHOWALYINMC5KGIODMGA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NRHQ2EDHOWALYINMC5KGIODMGA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:NRHQ2EDHOWALYINMC5KGIODMGA","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":"d763b6b93dfcb3784a9246e5f3f327c693b4e5f5f568f48342510ae00123d435","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2006-06-20T17:23:04Z","title_canon_sha256":"d924d6ed1a2dc1250dcd032c149da2e22c385bd45b09e899dc5b44f8b8a4b48d"},"schema_version":"1.0","source":{"id":"hep-th/0606197","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0606197","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0606197v2","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0606197","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"pith_short_12","alias_value":"NRHQ2EDHOWAL","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"pith_short_16","alias_value":"NRHQ2EDHOWALYINM","created_at":"2026-07-04T15:22:40Z"},{"alias_kind":"pith_short_8","alias_value":"NRHQ2EDH","created_at":"2026-07-04T15:22:40Z"}],"graph_snapshots":[{"event_id":"sha256:e9b7f4df3368af0e7450429f8d78af8a18c549279ae11fa22e6e24c23feaa364","target":"graph","created_at":"2026-07-04T15:22:40Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/0606197/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We give a simplified formula for the star product on CP^n_L, which enables us to define a twist element suited for discussing a Drinfeld twist like structure on fuzzy complex projective spaces. The existence of such a twist will have several consequences for field theories on fuzzy spaces, some of which we discuss in the present paper. As expected, we find that the twist of the coproduct is trivial for the generators of isometries on CP^n_L. Furthermore, the twist allows us to define a covariant tensor calculus on CP^n_L from the perspective of the standard embedding of CP^n in flat Euclidean ","authors_text":"Christian Saemann, Seckin Kurkcuoglu","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-06-20T17:23:04Z","title":"Drinfeld Twist and General Relativity with Fuzzy Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0606197","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:f5674779b378830fcbe91cde910ad2d86999d3e5eb50196b2c2130b7880165d1","target":"record","created_at":"2026-07-04T15:22:40Z","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":"d763b6b93dfcb3784a9246e5f3f327c693b4e5f5f568f48342510ae00123d435","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2006-06-20T17:23:04Z","title_canon_sha256":"d924d6ed1a2dc1250dcd032c149da2e22c385bd45b09e899dc5b44f8b8a4b48d"},"schema_version":"1.0","source":{"id":"hep-th/0606197","kind":"arxiv","version":2}},"canonical_sha256":"6c4f0d10677580bc21ac175464386c3027ef8e1da1fc50ffdd4ebc7ebfa8b1aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c4f0d10677580bc21ac175464386c3027ef8e1da1fc50ffdd4ebc7ebfa8b1aa","first_computed_at":"2026-07-04T15:22:40.532129Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:22:40.532129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yUtLDg0TxHNnCRzx6+EfAX0ZCivpqGaZC/da/JK4+TLOmZhi0tptYSRVGGJLQlv/zUF/RvMjIStISU9UaxDnCA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:22:40.532569Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0606197","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f5674779b378830fcbe91cde910ad2d86999d3e5eb50196b2c2130b7880165d1","sha256:e9b7f4df3368af0e7450429f8d78af8a18c549279ae11fa22e6e24c23feaa364"],"state_sha256":"458f1dc18549180f93c04bf0b68eed457e044c5aa300e637352fc419e9fcd45d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DyG5qFYBx5xOArmqyvcJh+YDIor8FtXhHiElOqOlCF3AGK6X1OQ/YlFzu8AoB/cILdQBGVcDog8mb1BpTHv3Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T02:13:27.863463Z","bundle_sha256":"b7628c98482f21a70e7ba02ce335429c90f3216e4d4a6d5dc557fc4793dc1a56"}}