{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:2TNOAAHPKCXNSSU2FUA73DQZAD","short_pith_number":"pith:2TNOAAHP","canonical_record":{"source":{"id":"1004.2118","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-13T07:30:45Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"0d305842648dc5d0cca6bae668b675cbe14f02a84af7d7ad7c8bc79c00faf92d","abstract_canon_sha256":"4310f0ea5c956d7996480f2609ee6a12ddec0ac4fae3f008f84faeaa3f427e48"},"schema_version":"1.0"},"canonical_sha256":"d4dae000ef50aed94a9a2d01fd8e1900fa2bd9090ab501d1e52bed53880fd239","source":{"kind":"arxiv","id":"1004.2118","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.2118","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"arxiv_version","alias_value":"1004.2118v4","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.2118","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"pith_short_12","alias_value":"2TNOAAHPKCXN","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2TNOAAHPKCXNSSU2","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2TNOAAHP","created_at":"2026-05-18T12:26:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:2TNOAAHPKCXNSSU2FUA73DQZAD","target":"record","payload":{"canonical_record":{"source":{"id":"1004.2118","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-13T07:30:45Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"0d305842648dc5d0cca6bae668b675cbe14f02a84af7d7ad7c8bc79c00faf92d","abstract_canon_sha256":"4310f0ea5c956d7996480f2609ee6a12ddec0ac4fae3f008f84faeaa3f427e48"},"schema_version":"1.0"},"canonical_sha256":"d4dae000ef50aed94a9a2d01fd8e1900fa2bd9090ab501d1e52bed53880fd239","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:33:34.403847Z","signature_b64":"+dJoc3GnaNDZI3GQ3vFRS8PeKQlYFejUmyXRDnNqD4FfbIFUzVf3wFyI4UfUII+rr0p0nXFplfnOwSfQzkVbDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d4dae000ef50aed94a9a2d01fd8e1900fa2bd9090ab501d1e52bed53880fd239","last_reissued_at":"2026-05-18T02:33:34.403423Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:33:34.403423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.2118","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:33:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4xD+oJTqVlgXRvC+brkdzyt1SJQlHZVc0u39/mJXJNP8yWLRgUwSInMGPo37eN0rCiNAu5iB3t0KiviErXvIBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:50:55.153838Z"},"content_sha256":"af81acc31a239150914da234026c9f62b139243f5d0824134415854b390b9fbb","schema_version":"1.0","event_id":"sha256:af81acc31a239150914da234026c9f62b139243f5d0824134415854b390b9fbb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:2TNOAAHPKCXNSSU2FUA73DQZAD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"SL(2,C) gravity on noncommutative space with Poisson structure","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Shao-Jun Zhang, Yan-Gang Miao","submitted_at":"2010-04-13T07:30:45Z","abstract_excerpt":"The Einstein's gravity theory can be formulated as an SL(2,C) gauge theory in terms of spinor notations. In this paper, we consider a noncommutative space with the Poisson structure and construct an SL(2,C) formulation of gravity on such a space. Using the covariant coordinate technique, we build a gauge invariant action in which, according to the Seiberg-Witten map, the physical degrees of freedom are expressed in terms of their commutative counterparts up to the first order in noncommutative parameters."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.2118","kind":"arxiv","version":4},"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":"2026-05-18T02:33:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3f+pTMcgiLbxzFJ5PRdfvaHPI7eNm+f32+gVouIohRIYAy0+/JO6vUJuncSaWEWyuJtt907KheLpkWfYDRsgBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T02:50:55.154539Z"},"content_sha256":"6b687a4b9e0370b583d04f7e9122cce5d9b52d40b35bad8e12d0f42d2e3ef9e2","schema_version":"1.0","event_id":"sha256:6b687a4b9e0370b583d04f7e9122cce5d9b52d40b35bad8e12d0f42d2e3ef9e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2TNOAAHPKCXNSSU2FUA73DQZAD/bundle.json","state_url":"https://pith.science/pith/2TNOAAHPKCXNSSU2FUA73DQZAD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2TNOAAHPKCXNSSU2FUA73DQZAD/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":"2026-05-26T02:50:55Z","links":{"resolver":"https://pith.science/pith/2TNOAAHPKCXNSSU2FUA73DQZAD","bundle":"https://pith.science/pith/2TNOAAHPKCXNSSU2FUA73DQZAD/bundle.json","state":"https://pith.science/pith/2TNOAAHPKCXNSSU2FUA73DQZAD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2TNOAAHPKCXNSSU2FUA73DQZAD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2TNOAAHPKCXNSSU2FUA73DQZAD","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":"4310f0ea5c956d7996480f2609ee6a12ddec0ac4fae3f008f84faeaa3f427e48","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-13T07:30:45Z","title_canon_sha256":"0d305842648dc5d0cca6bae668b675cbe14f02a84af7d7ad7c8bc79c00faf92d"},"schema_version":"1.0","source":{"id":"1004.2118","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.2118","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"arxiv_version","alias_value":"1004.2118v4","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.2118","created_at":"2026-05-18T02:33:34Z"},{"alias_kind":"pith_short_12","alias_value":"2TNOAAHPKCXN","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2TNOAAHPKCXNSSU2","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2TNOAAHP","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:6b687a4b9e0370b583d04f7e9122cce5d9b52d40b35bad8e12d0f42d2e3ef9e2","target":"graph","created_at":"2026-05-18T02:33:34Z","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":"The Einstein's gravity theory can be formulated as an SL(2,C) gauge theory in terms of spinor notations. In this paper, we consider a noncommutative space with the Poisson structure and construct an SL(2,C) formulation of gravity on such a space. Using the covariant coordinate technique, we build a gauge invariant action in which, according to the Seiberg-Witten map, the physical degrees of freedom are expressed in terms of their commutative counterparts up to the first order in noncommutative parameters.","authors_text":"Shao-Jun Zhang, Yan-Gang Miao","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-13T07:30:45Z","title":"SL(2,C) gravity on noncommutative space with Poisson structure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.2118","kind":"arxiv","version":4},"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:af81acc31a239150914da234026c9f62b139243f5d0824134415854b390b9fbb","target":"record","created_at":"2026-05-18T02:33:34Z","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":"4310f0ea5c956d7996480f2609ee6a12ddec0ac4fae3f008f84faeaa3f427e48","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-04-13T07:30:45Z","title_canon_sha256":"0d305842648dc5d0cca6bae668b675cbe14f02a84af7d7ad7c8bc79c00faf92d"},"schema_version":"1.0","source":{"id":"1004.2118","kind":"arxiv","version":4}},"canonical_sha256":"d4dae000ef50aed94a9a2d01fd8e1900fa2bd9090ab501d1e52bed53880fd239","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d4dae000ef50aed94a9a2d01fd8e1900fa2bd9090ab501d1e52bed53880fd239","first_computed_at":"2026-05-18T02:33:34.403423Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:34.403423Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+dJoc3GnaNDZI3GQ3vFRS8PeKQlYFejUmyXRDnNqD4FfbIFUzVf3wFyI4UfUII+rr0p0nXFplfnOwSfQzkVbDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:34.403847Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.2118","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:af81acc31a239150914da234026c9f62b139243f5d0824134415854b390b9fbb","sha256:6b687a4b9e0370b583d04f7e9122cce5d9b52d40b35bad8e12d0f42d2e3ef9e2"],"state_sha256":"f2760c522880783e6257e5d0a9f7001c5c1e6e9696ee4a0466a01404541e36f5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xZ7fZFB0bdyiw4B6B1WcLiPkpg6ZaasfWhaGGRCuF2hft+9RnLetKyWNJb3BvQQVY8KNcpzPRhlUnvRQyzUqDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T02:50:55.158182Z","bundle_sha256":"e3721c039f320c3a8324c73389f66c22f41ba73881f9b33971df99310e9eedb6"}}