{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:7KE2QMTI6P4T25CTZFLA2CBO54","short_pith_number":"pith:7KE2QMTI","canonical_record":{"source":{"id":"1403.7723","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-03-30T09:20:00Z","cross_cats_sorted":[],"title_canon_sha256":"7dd9c621bfd598f70305b5f83ce28ab7f20f7d906b05ff72aab71c45ec5c81b3","abstract_canon_sha256":"95aedcd899377080b1c26d91507e6b4e738e63c4db690771c468dd28c3a8934b"},"schema_version":"1.0"},"canonical_sha256":"fa89a83268f3f93d7453c9560d082eef2773defd283fad5b90c4335a7584e09b","source":{"kind":"arxiv","id":"1403.7723","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7723","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7723v1","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7723","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"pith_short_12","alias_value":"7KE2QMTI6P4T","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7KE2QMTI6P4T25CT","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7KE2QMTI","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:7KE2QMTI6P4T25CTZFLA2CBO54","target":"record","payload":{"canonical_record":{"source":{"id":"1403.7723","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-03-30T09:20:00Z","cross_cats_sorted":[],"title_canon_sha256":"7dd9c621bfd598f70305b5f83ce28ab7f20f7d906b05ff72aab71c45ec5c81b3","abstract_canon_sha256":"95aedcd899377080b1c26d91507e6b4e738e63c4db690771c468dd28c3a8934b"},"schema_version":"1.0"},"canonical_sha256":"fa89a83268f3f93d7453c9560d082eef2773defd283fad5b90c4335a7584e09b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:55:12.559100Z","signature_b64":"iG1pMqGLrSuHLOcCtL8AoY1raQkhjEkVo8BdBTGCHLtPoabaGJzbeTZp5kGah8jWOVU+Nk3OWmUmNdBGgtToCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fa89a83268f3f93d7453c9560d082eef2773defd283fad5b90c4335a7584e09b","last_reissued_at":"2026-05-18T02:55:12.558706Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:55:12.558706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.7723","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":"2026-05-18T02:55:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mx+RZeLcUF4p0zsnCF5ehip+cjxg1N/jIS5LHY2Ncg67ZHIr6xhnCe8QPYbzOI7R5BNhQUYCZOyT4qqg58NDAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T17:10:58.654249Z"},"content_sha256":"0e821be3350c7035800601a0408bd6cb43a69cde7d0aeae94c339736d2f14735","schema_version":"1.0","event_id":"sha256:0e821be3350c7035800601a0408bd6cb43a69cde7d0aeae94c339736d2f14735"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:7KE2QMTI6P4T25CTZFLA2CBO54","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Energy-momentum tensors for non-commutative Abelian Proca field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"F. Darabi, F. Naderi","submitted_at":"2014-03-30T09:20:00Z","abstract_excerpt":"We study two different possibilities of constructing the energy-momentum tensors for non-commutative Abelian Proca field, by using (i) general Noether theorem and (ii) coupling to a weak external gravitational field. Both energy-momentum tensors are not traceless due to the violation of Lorentz invariance in non-commutative spaces. In particular, we show that the obtained energy density of the latter case coincides exactly with that of obtained by Dirac quantization method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7723","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":"2026-05-18T02:55:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q2+8lBHflRoq/XiGX+e7dTPb2Fn55RSqsGX7XRVlGvnxCtpzhCL6RBwi7TIjGxVJ8U2cwP3Dk/q/HMgOGKiZCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T17:10:58.654627Z"},"content_sha256":"bcfc5b5ff209c5fab1ea9faf33f0e4e2457336bff03194ee668f5401a1a1a106","schema_version":"1.0","event_id":"sha256:bcfc5b5ff209c5fab1ea9faf33f0e4e2457336bff03194ee668f5401a1a1a106"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7KE2QMTI6P4T25CTZFLA2CBO54/bundle.json","state_url":"https://pith.science/pith/7KE2QMTI6P4T25CTZFLA2CBO54/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7KE2QMTI6P4T25CTZFLA2CBO54/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":"2026-05-30T17:10:58Z","links":{"resolver":"https://pith.science/pith/7KE2QMTI6P4T25CTZFLA2CBO54","bundle":"https://pith.science/pith/7KE2QMTI6P4T25CTZFLA2CBO54/bundle.json","state":"https://pith.science/pith/7KE2QMTI6P4T25CTZFLA2CBO54/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7KE2QMTI6P4T25CTZFLA2CBO54/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7KE2QMTI6P4T25CTZFLA2CBO54","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":"95aedcd899377080b1c26d91507e6b4e738e63c4db690771c468dd28c3a8934b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-03-30T09:20:00Z","title_canon_sha256":"7dd9c621bfd598f70305b5f83ce28ab7f20f7d906b05ff72aab71c45ec5c81b3"},"schema_version":"1.0","source":{"id":"1403.7723","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7723","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7723v1","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7723","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"pith_short_12","alias_value":"7KE2QMTI6P4T","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7KE2QMTI6P4T25CT","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7KE2QMTI","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:bcfc5b5ff209c5fab1ea9faf33f0e4e2457336bff03194ee668f5401a1a1a106","target":"graph","created_at":"2026-05-18T02:55:12Z","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 study two different possibilities of constructing the energy-momentum tensors for non-commutative Abelian Proca field, by using (i) general Noether theorem and (ii) coupling to a weak external gravitational field. Both energy-momentum tensors are not traceless due to the violation of Lorentz invariance in non-commutative spaces. In particular, we show that the obtained energy density of the latter case coincides exactly with that of obtained by Dirac quantization method.","authors_text":"F. Darabi, F. Naderi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-03-30T09:20:00Z","title":"Energy-momentum tensors for non-commutative Abelian Proca field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7723","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":"sha256:0e821be3350c7035800601a0408bd6cb43a69cde7d0aeae94c339736d2f14735","target":"record","created_at":"2026-05-18T02:55:12Z","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":"95aedcd899377080b1c26d91507e6b4e738e63c4db690771c468dd28c3a8934b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-03-30T09:20:00Z","title_canon_sha256":"7dd9c621bfd598f70305b5f83ce28ab7f20f7d906b05ff72aab71c45ec5c81b3"},"schema_version":"1.0","source":{"id":"1403.7723","kind":"arxiv","version":1}},"canonical_sha256":"fa89a83268f3f93d7453c9560d082eef2773defd283fad5b90c4335a7584e09b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fa89a83268f3f93d7453c9560d082eef2773defd283fad5b90c4335a7584e09b","first_computed_at":"2026-05-18T02:55:12.558706Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:12.558706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iG1pMqGLrSuHLOcCtL8AoY1raQkhjEkVo8BdBTGCHLtPoabaGJzbeTZp5kGah8jWOVU+Nk3OWmUmNdBGgtToCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:12.559100Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7723","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e821be3350c7035800601a0408bd6cb43a69cde7d0aeae94c339736d2f14735","sha256:bcfc5b5ff209c5fab1ea9faf33f0e4e2457336bff03194ee668f5401a1a1a106"],"state_sha256":"7f164eeb73128bac6a3ff8fad6fa5b3023b3f9b8cd59e57b62d207cf3e597335"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P8i6SqTIHYwVXevuiwTR/vEI0t0O0FSStmAuJZEC0MjDBv6zV/cqfWbn6QDtHGm1H1bg89aD5S6TIf4GBAOeCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T17:10:58.657210Z","bundle_sha256":"113ba92c5bc36d0f1592655344db99c01647d25ea0122558d861eb939da57d00"}}