{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:GWVPHEPTEG4P3DJFGBUQHKYFOR","short_pith_number":"pith:GWVPHEPT","canonical_record":{"source":{"id":"1105.2774","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-13T16:49:11Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"4c0b4469288662d9ab1b07e50e84c8bd11a44e4719f2309c7823a489ec0e8c10","abstract_canon_sha256":"f4dec6c3a8a27e63ba736ab20793e46c264e5db4ebefc1ba6b928cfbcf0ed6fa"},"schema_version":"1.0"},"canonical_sha256":"35aaf391f321b8fd8d25306903ab05747ae9a84c3675deeebc579e43e80c3055","source":{"kind":"arxiv","id":"1105.2774","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2774","created_at":"2026-05-18T02:01:58Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2774v2","created_at":"2026-05-18T02:01:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2774","created_at":"2026-05-18T02:01:58Z"},{"alias_kind":"pith_short_12","alias_value":"GWVPHEPTEG4P","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GWVPHEPTEG4P3DJF","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GWVPHEPT","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:GWVPHEPTEG4P3DJFGBUQHKYFOR","target":"record","payload":{"canonical_record":{"source":{"id":"1105.2774","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-13T16:49:11Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"4c0b4469288662d9ab1b07e50e84c8bd11a44e4719f2309c7823a489ec0e8c10","abstract_canon_sha256":"f4dec6c3a8a27e63ba736ab20793e46c264e5db4ebefc1ba6b928cfbcf0ed6fa"},"schema_version":"1.0"},"canonical_sha256":"35aaf391f321b8fd8d25306903ab05747ae9a84c3675deeebc579e43e80c3055","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:58.492095Z","signature_b64":"REB7COwhR2u2RtpnknOaFyqcTG6kEd41RaIxM5K4/QFWoOIFOpc+S1GCHuCGNoR2oNF/Flq1I2/oQF+5k88wAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"35aaf391f321b8fd8d25306903ab05747ae9a84c3675deeebc579e43e80c3055","last_reissued_at":"2026-05-18T02:01:58.491603Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:58.491603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1105.2774","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":"2026-05-18T02:01:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hDVKmfWRB4l5fbGK/94VQkB68SKxeQ+Tzk2iDvo8u94lPrQJ4MnRMCq2Zuj856rLjzQRu8QyNj8YHjQOcY/ABQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T08:20:03.414416Z"},"content_sha256":"9d42a408315a0ad4922491b2defa5956b7da25f43101b75bfaa1872e7db38752","schema_version":"1.0","event_id":"sha256:9d42a408315a0ad4922491b2defa5956b7da25f43101b75bfaa1872e7db38752"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:GWVPHEPTEG4P3DJFGBUQHKYFOR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Phase-Space Noncommutativity and the Dirac Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Orfeu Bertolami, Raquel Queiroz","submitted_at":"2011-05-13T16:49:11Z","abstract_excerpt":"We consider full phase-space noncommutativity in the Dirac equation, and find that in order to preserve gauge invariance, configuration space noncommutativity must be dropped. The resulting space structure gives rise to a constant magnetic field background and this effect is explicitly seen on the spectrum of the hydrogen atom. Computing this spectrum we find a bound on the momentum noncommutative parameter $\\eta$, $\\sqrt{\\eta}\\lsim2.26\\mu eV/c$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2774","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":""},"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":"2026-05-18T02:01:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bMk/YLc7sh7PN8sAjGxNxbenHRNz2QvPkuFrj6k/4qIywiygBHf9Yv0HBvPYlyb9iEB/SgBZhoPor3Lzal2+Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T08:20:03.430845Z"},"content_sha256":"a5ab3bd3b93815d278878c3868b993fcef0dea1fc03424926e3e78b82cc7df6f","schema_version":"1.0","event_id":"sha256:a5ab3bd3b93815d278878c3868b993fcef0dea1fc03424926e3e78b82cc7df6f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GWVPHEPTEG4P3DJFGBUQHKYFOR/bundle.json","state_url":"https://pith.science/pith/GWVPHEPTEG4P3DJFGBUQHKYFOR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GWVPHEPTEG4P3DJFGBUQHKYFOR/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":"2026-06-08T08:20:03Z","links":{"resolver":"https://pith.science/pith/GWVPHEPTEG4P3DJFGBUQHKYFOR","bundle":"https://pith.science/pith/GWVPHEPTEG4P3DJFGBUQHKYFOR/bundle.json","state":"https://pith.science/pith/GWVPHEPTEG4P3DJFGBUQHKYFOR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GWVPHEPTEG4P3DJFGBUQHKYFOR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:GWVPHEPTEG4P3DJFGBUQHKYFOR","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":"f4dec6c3a8a27e63ba736ab20793e46c264e5db4ebefc1ba6b928cfbcf0ed6fa","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-13T16:49:11Z","title_canon_sha256":"4c0b4469288662d9ab1b07e50e84c8bd11a44e4719f2309c7823a489ec0e8c10"},"schema_version":"1.0","source":{"id":"1105.2774","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1105.2774","created_at":"2026-05-18T02:01:58Z"},{"alias_kind":"arxiv_version","alias_value":"1105.2774v2","created_at":"2026-05-18T02:01:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1105.2774","created_at":"2026-05-18T02:01:58Z"},{"alias_kind":"pith_short_12","alias_value":"GWVPHEPTEG4P","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"GWVPHEPTEG4P3DJF","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"GWVPHEPT","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:a5ab3bd3b93815d278878c3868b993fcef0dea1fc03424926e3e78b82cc7df6f","target":"graph","created_at":"2026-05-18T02:01:58Z","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 consider full phase-space noncommutativity in the Dirac equation, and find that in order to preserve gauge invariance, configuration space noncommutativity must be dropped. The resulting space structure gives rise to a constant magnetic field background and this effect is explicitly seen on the spectrum of the hydrogen atom. Computing this spectrum we find a bound on the momentum noncommutative parameter $\\eta$, $\\sqrt{\\eta}\\lsim2.26\\mu eV/c$.","authors_text":"Orfeu Bertolami, Raquel Queiroz","cross_cats":["gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-13T16:49:11Z","title":"Phase-Space Noncommutativity and the Dirac Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1105.2774","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":"sha256:9d42a408315a0ad4922491b2defa5956b7da25f43101b75bfaa1872e7db38752","target":"record","created_at":"2026-05-18T02:01:58Z","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":"f4dec6c3a8a27e63ba736ab20793e46c264e5db4ebefc1ba6b928cfbcf0ed6fa","cross_cats_sorted":["gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-05-13T16:49:11Z","title_canon_sha256":"4c0b4469288662d9ab1b07e50e84c8bd11a44e4719f2309c7823a489ec0e8c10"},"schema_version":"1.0","source":{"id":"1105.2774","kind":"arxiv","version":2}},"canonical_sha256":"35aaf391f321b8fd8d25306903ab05747ae9a84c3675deeebc579e43e80c3055","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35aaf391f321b8fd8d25306903ab05747ae9a84c3675deeebc579e43e80c3055","first_computed_at":"2026-05-18T02:01:58.491603Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:58.491603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"REB7COwhR2u2RtpnknOaFyqcTG6kEd41RaIxM5K4/QFWoOIFOpc+S1GCHuCGNoR2oNF/Flq1I2/oQF+5k88wAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:58.492095Z","signed_message":"canonical_sha256_bytes"},"source_id":"1105.2774","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d42a408315a0ad4922491b2defa5956b7da25f43101b75bfaa1872e7db38752","sha256:a5ab3bd3b93815d278878c3868b993fcef0dea1fc03424926e3e78b82cc7df6f"],"state_sha256":"63ee5038aaaa4f3bfaca1ac9fc71806bdf216990a0ba023cbb79080f642808cb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2GCqWeX2od2nXGfJv03vygLUxexfn3MFx4o24qYYquDZIWyH2fAkSnhTRhTlzdqCn/N6Yv6GE/dY64xrFSDNBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T08:20:03.509385Z","bundle_sha256":"3e828eee7836b17643ff62ef822f64529259dcddf03667116a61c40a08565b64"}}