{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:QOW6RF7RPQEMJ7BP67N44VZG6G","short_pith_number":"pith:QOW6RF7R","canonical_record":{"source":{"id":"1005.3269","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-05-18T17:57:11Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"a95c760c6edafeb02b22f7b70efc64c3a3a027e3f3c530b215d1220c666efe5d","abstract_canon_sha256":"9c2371a986a7e3cd505ad0b516b991e72028a2d41dd2b20aeb1d23a992b5c979"},"schema_version":"1.0"},"canonical_sha256":"83ade897f17c08c4fc2ff7dbce5726f1bdbe5d293a71779ccf02713352376202","source":{"kind":"arxiv","id":"1005.3269","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.3269","created_at":"2026-05-18T04:32:12Z"},{"alias_kind":"arxiv_version","alias_value":"1005.3269v1","created_at":"2026-05-18T04:32:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.3269","created_at":"2026-05-18T04:32:12Z"},{"alias_kind":"pith_short_12","alias_value":"QOW6RF7RPQEM","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"QOW6RF7RPQEMJ7BP","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"QOW6RF7R","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:QOW6RF7RPQEMJ7BP67N44VZG6G","target":"record","payload":{"canonical_record":{"source":{"id":"1005.3269","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-05-18T17:57:11Z","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"title_canon_sha256":"a95c760c6edafeb02b22f7b70efc64c3a3a027e3f3c530b215d1220c666efe5d","abstract_canon_sha256":"9c2371a986a7e3cd505ad0b516b991e72028a2d41dd2b20aeb1d23a992b5c979"},"schema_version":"1.0"},"canonical_sha256":"83ade897f17c08c4fc2ff7dbce5726f1bdbe5d293a71779ccf02713352376202","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:32:12.005441Z","signature_b64":"SzbIJR7xTNDAH10+/DhGAgLtQ7kBydaBglg32uoYQ0YyXRxNqsI6EltpdvqyJ+a9dMdA2xrxCXYfPwutyuAcCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"83ade897f17c08c4fc2ff7dbce5726f1bdbe5d293a71779ccf02713352376202","last_reissued_at":"2026-05-18T04:32:12.004951Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:32:12.004951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1005.3269","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:32:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iajDtPguSmaAGEmC/Nj4DpCZE1E8kPCIwVnhvKTPo/Z733nnlMB7DwgxJwzFSUHq/TDKHZLHKew8WX8k2+trAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T02:36:47.630564Z"},"content_sha256":"40fa2889a8773e3954fd1d032eb7668f202fa9a171361a18e5ff0078188b2b54","schema_version":"1.0","event_id":"sha256:40fa2889a8773e3954fd1d032eb7668f202fa9a171361a18e5ff0078188b2b54"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:QOW6RF7RPQEMJ7BP67N44VZG6G","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A note on the implementation of Poincar\\'e symmetry in noncommutative field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Ignacio Cortese, J. Antonio Garc\\'ia","submitted_at":"2010-05-18T17:57:11Z","abstract_excerpt":"We argue that Poincar\\'e symmetry can be implemented in NCFT if we allow the parameter of noncommutitive deformation $\\theta^{\\mu\\nu}$ to change as a two-tensor under the corresponding space-time symmetry. The implementation is consistent with the definition of $\\theta^{\\mu\\nu}$ in terms of space-time coordinates and with the Moyal star product. Inspired from the standard definition of a variational symmetry we found a universal way to correct the implementation of the Poincar\\'e symmetry by a term proportional to the variation of $\\theta^{\\mu\\nu}$ in such a way that the new transformation def"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.3269","kind":"arxiv","version":1},"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":"2026-05-18T04:32:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oGJ5tnl04tkiwEYC+1NEtA5aHgusy9PlRaKSYOiFsZ/jGcRmFujY8/iopw2U1q7zaoFtvWeVufL+v+TFqGyxDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T02:36:47.630906Z"},"content_sha256":"4feab149f975cfa58a70f1483eaf03327949e9f2409ae1b753c304f89f791fed","schema_version":"1.0","event_id":"sha256:4feab149f975cfa58a70f1483eaf03327949e9f2409ae1b753c304f89f791fed"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QOW6RF7RPQEMJ7BP67N44VZG6G/bundle.json","state_url":"https://pith.science/pith/QOW6RF7RPQEMJ7BP67N44VZG6G/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QOW6RF7RPQEMJ7BP67N44VZG6G/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":"2026-07-03T02:36:47Z","links":{"resolver":"https://pith.science/pith/QOW6RF7RPQEMJ7BP67N44VZG6G","bundle":"https://pith.science/pith/QOW6RF7RPQEMJ7BP67N44VZG6G/bundle.json","state":"https://pith.science/pith/QOW6RF7RPQEMJ7BP67N44VZG6G/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QOW6RF7RPQEMJ7BP67N44VZG6G/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:QOW6RF7RPQEMJ7BP67N44VZG6G","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":"9c2371a986a7e3cd505ad0b516b991e72028a2d41dd2b20aeb1d23a992b5c979","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-05-18T17:57:11Z","title_canon_sha256":"a95c760c6edafeb02b22f7b70efc64c3a3a027e3f3c530b215d1220c666efe5d"},"schema_version":"1.0","source":{"id":"1005.3269","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1005.3269","created_at":"2026-05-18T04:32:12Z"},{"alias_kind":"arxiv_version","alias_value":"1005.3269v1","created_at":"2026-05-18T04:32:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1005.3269","created_at":"2026-05-18T04:32:12Z"},{"alias_kind":"pith_short_12","alias_value":"QOW6RF7RPQEM","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"QOW6RF7RPQEMJ7BP","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"QOW6RF7R","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:4feab149f975cfa58a70f1483eaf03327949e9f2409ae1b753c304f89f791fed","target":"graph","created_at":"2026-05-18T04:32:12Z","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":"We argue that Poincar\\'e symmetry can be implemented in NCFT if we allow the parameter of noncommutitive deformation $\\theta^{\\mu\\nu}$ to change as a two-tensor under the corresponding space-time symmetry. The implementation is consistent with the definition of $\\theta^{\\mu\\nu}$ in terms of space-time coordinates and with the Moyal star product. Inspired from the standard definition of a variational symmetry we found a universal way to correct the implementation of the Poincar\\'e symmetry by a term proportional to the variation of $\\theta^{\\mu\\nu}$ in such a way that the new transformation def","authors_text":"Ignacio Cortese, J. Antonio Garc\\'ia","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-05-18T17:57:11Z","title":"A note on the implementation of Poincar\\'e symmetry in noncommutative field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1005.3269","kind":"arxiv","version":1},"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":"sha256:40fa2889a8773e3954fd1d032eb7668f202fa9a171361a18e5ff0078188b2b54","target":"record","created_at":"2026-05-18T04:32:12Z","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":"9c2371a986a7e3cd505ad0b516b991e72028a2d41dd2b20aeb1d23a992b5c979","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-05-18T17:57:11Z","title_canon_sha256":"a95c760c6edafeb02b22f7b70efc64c3a3a027e3f3c530b215d1220c666efe5d"},"schema_version":"1.0","source":{"id":"1005.3269","kind":"arxiv","version":1}},"canonical_sha256":"83ade897f17c08c4fc2ff7dbce5726f1bdbe5d293a71779ccf02713352376202","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"83ade897f17c08c4fc2ff7dbce5726f1bdbe5d293a71779ccf02713352376202","first_computed_at":"2026-05-18T04:32:12.004951Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:32:12.004951Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SzbIJR7xTNDAH10+/DhGAgLtQ7kBydaBglg32uoYQ0YyXRxNqsI6EltpdvqyJ+a9dMdA2xrxCXYfPwutyuAcCw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:32:12.005441Z","signed_message":"canonical_sha256_bytes"},"source_id":"1005.3269","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:40fa2889a8773e3954fd1d032eb7668f202fa9a171361a18e5ff0078188b2b54","sha256:4feab149f975cfa58a70f1483eaf03327949e9f2409ae1b753c304f89f791fed"],"state_sha256":"775bc46eb82ea50fae54c36f3382eed284bbf5c7b2d58da9dab6e137e7868148"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D72Yv50l6v0ovMq73KFkbQTV6wRP+ngU8Uu8UzdoUrl20JrSaQ4cukvvgDxY8upXTtV6KTTWLgMQHpiv8Jo/Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T02:36:47.632766Z","bundle_sha256":"6e373fe0a0fd8a982e5638add0fb4a917e53cef34ec1c4a21c53e6cb81484db8"}}