{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:BK5EHVF6VFZGBJOY4MFR57R5LS","short_pith_number":"pith:BK5EHVF6","canonical_record":{"source":{"id":"hep-th/0607115","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-07-17T17:50:11Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"99f01a70f9a69605679ff72c371e91e63ced9ed55364ee74694aac95ec1c5532","abstract_canon_sha256":"f12552dadc15303dd5b84b16094a9c3e8560b3eb8aef882e37bf651281824752"},"schema_version":"1.0"},"canonical_sha256":"0aba43d4bea97260a5d8e30b1efe3d5caa3e090f5136cda3b0de016e381460ce","source":{"kind":"arxiv","id":"hep-th/0607115","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0607115","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0607115v3","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0607115","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"pith_short_12","alias_value":"BK5EHVF6VFZG","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"pith_short_16","alias_value":"BK5EHVF6VFZGBJOY","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"pith_short_8","alias_value":"BK5EHVF6","created_at":"2026-07-04T17:02:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:BK5EHVF6VFZGBJOY4MFR57R5LS","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0607115","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2006-07-17T17:50:11Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"99f01a70f9a69605679ff72c371e91e63ced9ed55364ee74694aac95ec1c5532","abstract_canon_sha256":"f12552dadc15303dd5b84b16094a9c3e8560b3eb8aef882e37bf651281824752"},"schema_version":"1.0"},"canonical_sha256":"0aba43d4bea97260a5d8e30b1efe3d5caa3e090f5136cda3b0de016e381460ce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:02:02.868444Z","signature_b64":"2LXIvLHplHmbMLjYpd5ogOndG8LSQvWXrjY9CTk3dBDms/eO7i3ChgLiKJJO72d3R8s1DxLFh/fvSWtnLYNdCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0aba43d4bea97260a5d8e30b1efe3d5caa3e090f5136cda3b0de016e381460ce","last_reissued_at":"2026-07-04T17:02:02.868041Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:02:02.868041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0607115","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":"2026-07-04T17:02:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lxbsOHfDyc2AeTUpAbjirxmOKb+aBeo27UY2tWVf/iu+mDv9DOqacUQ+m5k5F8QS0bd2qfG3H4ph2j/CKSwrAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T03:31:24.812005Z"},"content_sha256":"d00c2438e64b28d36c6081423758806bc29f49ec18694e232bade8574a138035","schema_version":"1.0","event_id":"sha256:d00c2438e64b28d36c6081423758806bc29f49ec18694e232bade8574a138035"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:BK5EHVF6VFZGBJOY4MFR57R5LS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noncommutative Gravity","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"E. Harikumar, Victor O. Rivelles","submitted_at":"2006-07-17T17:50:11Z","abstract_excerpt":"We consider simple extensions of noncommutativity from flat to curved spacetime. One possibility is to have a generalization of the Moyal product with a covariantly constant noncommutative tensor $\\theta^{\\mu\\nu}$. In this case the spacetime symmetry is restricted to volume preserving diffeomorphisms which also preserve $\\theta^{\\mu\\nu}$. Another possibility is an extension of the Kontsevich product to curved spacetime. In both cases the noncommutative product is nonassociative. We find the the order $\\theta^2$ noncommutative correction to the Newtonian potential in the case of a covariantly c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0607115","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0607115/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":"2026-07-04T17:02:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F3kYuce3Rbxzwe2R86gsVT4mUgJD/Ooylk9uIN4df7mm05NcxP7sws77nR/f9WBZKQfIfQqU0NhgM2d3DYwKCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T03:31:24.812895Z"},"content_sha256":"e29f2e1e1a77b163cdafef52a63b3d0828fd8799dcb83db5e2445567d47e90d8","schema_version":"1.0","event_id":"sha256:e29f2e1e1a77b163cdafef52a63b3d0828fd8799dcb83db5e2445567d47e90d8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BK5EHVF6VFZGBJOY4MFR57R5LS/bundle.json","state_url":"https://pith.science/pith/BK5EHVF6VFZGBJOY4MFR57R5LS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BK5EHVF6VFZGBJOY4MFR57R5LS/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":"2026-08-06T03:31:24Z","links":{"resolver":"https://pith.science/pith/BK5EHVF6VFZGBJOY4MFR57R5LS","bundle":"https://pith.science/pith/BK5EHVF6VFZGBJOY4MFR57R5LS/bundle.json","state":"https://pith.science/pith/BK5EHVF6VFZGBJOY4MFR57R5LS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BK5EHVF6VFZGBJOY4MFR57R5LS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:BK5EHVF6VFZGBJOY4MFR57R5LS","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":"f12552dadc15303dd5b84b16094a9c3e8560b3eb8aef882e37bf651281824752","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2006-07-17T17:50:11Z","title_canon_sha256":"99f01a70f9a69605679ff72c371e91e63ced9ed55364ee74694aac95ec1c5532"},"schema_version":"1.0","source":{"id":"hep-th/0607115","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0607115","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0607115v3","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0607115","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"pith_short_12","alias_value":"BK5EHVF6VFZG","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"pith_short_16","alias_value":"BK5EHVF6VFZGBJOY","created_at":"2026-07-04T17:02:02Z"},{"alias_kind":"pith_short_8","alias_value":"BK5EHVF6","created_at":"2026-07-04T17:02:02Z"}],"graph_snapshots":[{"event_id":"sha256:e29f2e1e1a77b163cdafef52a63b3d0828fd8799dcb83db5e2445567d47e90d8","target":"graph","created_at":"2026-07-04T17:02:02Z","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/0607115/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider simple extensions of noncommutativity from flat to curved spacetime. One possibility is to have a generalization of the Moyal product with a covariantly constant noncommutative tensor $\\theta^{\\mu\\nu}$. In this case the spacetime symmetry is restricted to volume preserving diffeomorphisms which also preserve $\\theta^{\\mu\\nu}$. Another possibility is an extension of the Kontsevich product to curved spacetime. In both cases the noncommutative product is nonassociative. We find the the order $\\theta^2$ noncommutative correction to the Newtonian potential in the case of a covariantly c","authors_text":"E. Harikumar, Victor O. Rivelles","cross_cats":["gr-qc"],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2006-07-17T17:50:11Z","title":"Noncommutative Gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0607115","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:d00c2438e64b28d36c6081423758806bc29f49ec18694e232bade8574a138035","target":"record","created_at":"2026-07-04T17:02:02Z","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":"f12552dadc15303dd5b84b16094a9c3e8560b3eb8aef882e37bf651281824752","cross_cats_sorted":["gr-qc"],"license":"","primary_cat":"hep-th","submitted_at":"2006-07-17T17:50:11Z","title_canon_sha256":"99f01a70f9a69605679ff72c371e91e63ced9ed55364ee74694aac95ec1c5532"},"schema_version":"1.0","source":{"id":"hep-th/0607115","kind":"arxiv","version":3}},"canonical_sha256":"0aba43d4bea97260a5d8e30b1efe3d5caa3e090f5136cda3b0de016e381460ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0aba43d4bea97260a5d8e30b1efe3d5caa3e090f5136cda3b0de016e381460ce","first_computed_at":"2026-07-04T17:02:02.868041Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:02:02.868041Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2LXIvLHplHmbMLjYpd5ogOndG8LSQvWXrjY9CTk3dBDms/eO7i3ChgLiKJJO72d3R8s1DxLFh/fvSWtnLYNdCQ==","signature_status":"signed_v1","signed_at":"2026-07-04T17:02:02.868444Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0607115","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d00c2438e64b28d36c6081423758806bc29f49ec18694e232bade8574a138035","sha256:e29f2e1e1a77b163cdafef52a63b3d0828fd8799dcb83db5e2445567d47e90d8"],"state_sha256":"9092ca5bb19fba2f32a9201944a4b1bd2f03683d61e24c379771fb0623ef9229"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"492kFHK6u1mNrHq1RTelxRhlpYMvJxpvsbVldzkE++Gbb+iKIBY7egmV2/qHwR9V4dvt8mdFk1u76ry9Aw+LCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T03:31:24.817791Z","bundle_sha256":"dd6a5fdfa15ce565462634542cb9c27eb58ddeff21694d91a83c1b2b72ddd827"}}