{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:XHNQUSPC3MCQNDXOCOIW7LVVKH","short_pith_number":"pith:XHNQUSPC","schema_version":"1.0","canonical_sha256":"b9db0a49e2db05068eee13916faeb551c0da805e3de76fa71297ad56e08c6094","source":{"kind":"arxiv","id":"hep-ph/0702123","version":2},"attestation_state":"computed","paper":{"title":"The Stueckelberg $Z'$ Extension with Kinetic Mixing and Milli-Charged Dark Matter From the Hidden Sector","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Daniel Feldman, Pran Nath, Zuowei Liu","submitted_at":"2007-02-12T19:29:29Z","abstract_excerpt":"An analysis is given of the Stueckelberg extension of the Standard Model with a hidden sector gauge group $U(1)_X$ where the mass growth for the extra gauge boson occurs via the Stueckelberg mechanism, and where the kinetic mixing in the $U(1)_X\\times U(1)_Y$ sector is included. Such a kinetic mixing is generic in a broad class of supergravity and string models. We carry out a detailed global fit of the model with the precision LEP data on and off the $Z$ pole, with $\\chi^2$ within 1% of the $\\chi^2$ of the Standard Model fit. Further, it is shown that in the absence of matter in the hidden se"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"hep-ph/0702123","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-02-12T19:29:29Z","cross_cats_sorted":[],"title_canon_sha256":"622c15387eb11c8595259598ca07e25041f993c51279a0b509489dbe38a43573","abstract_canon_sha256":"5fe20484270d8215bf7fe07b6357c6b4113f6ae43df8ed3067f77de232b8dcbe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:27:07.153803Z","signature_b64":"LD0FoAVyQ/rq0Qc8bSFsEwPvzU846HnUHSE4is8oQMSce7gxoxKQFD0wh4SAwxX4h3LN4FAjQnn0UsoBucXcBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9db0a49e2db05068eee13916faeb551c0da805e3de76fa71297ad56e08c6094","last_reissued_at":"2026-07-04T17:27:07.153405Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:27:07.153405Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Stueckelberg $Z'$ Extension with Kinetic Mixing and Milli-Charged Dark Matter From the Hidden Sector","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Daniel Feldman, Pran Nath, Zuowei Liu","submitted_at":"2007-02-12T19:29:29Z","abstract_excerpt":"An analysis is given of the Stueckelberg extension of the Standard Model with a hidden sector gauge group $U(1)_X$ where the mass growth for the extra gauge boson occurs via the Stueckelberg mechanism, and where the kinetic mixing in the $U(1)_X\\times U(1)_Y$ sector is included. Such a kinetic mixing is generic in a broad class of supergravity and string models. We carry out a detailed global fit of the model with the precision LEP data on and off the $Z$ pole, with $\\chi^2$ within 1% of the $\\chi^2$ of the Standard Model fit. Further, it is shown that in the absence of matter in the hidden se"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0702123","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/0702123/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0702123","created_at":"2026-07-04T17:27:07.153466+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0702123v2","created_at":"2026-07-04T17:27:07.153466+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0702123","created_at":"2026-07-04T17:27:07.153466+00:00"},{"alias_kind":"pith_short_12","alias_value":"XHNQUSPC3MCQ","created_at":"2026-07-04T17:27:07.153466+00:00"},{"alias_kind":"pith_short_16","alias_value":"XHNQUSPC3MCQNDXO","created_at":"2026-07-04T17:27:07.153466+00:00"},{"alias_kind":"pith_short_8","alias_value":"XHNQUSPC","created_at":"2026-07-04T17:27:07.153466+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":8,"internal_anchor_count":7,"sample":[{"citing_arxiv_id":"2606.11310","citing_title":"Direct Detection of Millicharged Particles from Supernovae","ref_index":6,"is_internal_anchor":true},{"citing_arxiv_id":"2606.08487","citing_title":"Probing Dark Photons from Nuclear De-excitation in Reactor Neutrino Experiment","ref_index":52,"is_internal_anchor":true},{"citing_arxiv_id":"2606.13597","citing_title":"Natural Supercooling and Reheating along Supersymmetric Flat Directions and Observable Gravitational Waves at the Einstein Telescope and the Cosmic Explorer","ref_index":52,"is_internal_anchor":true},{"citing_arxiv_id":"2005.01515","citing_title":"The Dark Photon","ref_index":18,"is_internal_anchor":true},{"citing_arxiv_id":"2507.11376","citing_title":"GeV-scale thermal dark matter from dark photons: tightly constrained, yet allowed","ref_index":18,"is_internal_anchor":true},{"citing_arxiv_id":"2510.13770","citing_title":"Gauge-independent Gravitational Waves from Cogenesis in a $B-L$ Conserving Universe","ref_index":65,"is_internal_anchor":true},{"citing_arxiv_id":"2512.05380","citing_title":"Illuminating sequential freeze-in dark matter with dark photon signal at the CERN SHiP experiment","ref_index":5,"is_internal_anchor":true},{"citing_arxiv_id":"2605.09686","citing_title":"Asymmetric Reheating of Dark QED","ref_index":30,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/XHNQUSPC3MCQNDXOCOIW7LVVKH","json":"https://pith.science/pith/XHNQUSPC3MCQNDXOCOIW7LVVKH.json","graph_json":"https://pith.science/api/pith-number/XHNQUSPC3MCQNDXOCOIW7LVVKH/graph.json","events_json":"https://pith.science/api/pith-number/XHNQUSPC3MCQNDXOCOIW7LVVKH/events.json","paper":"https://pith.science/paper/XHNQUSPC"},"agent_actions":{"view_html":"https://pith.science/pith/XHNQUSPC3MCQNDXOCOIW7LVVKH","download_json":"https://pith.science/pith/XHNQUSPC3MCQNDXOCOIW7LVVKH.json","view_paper":"https://pith.science/paper/XHNQUSPC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0702123&json=true","fetch_graph":"https://pith.science/api/pith-number/XHNQUSPC3MCQNDXOCOIW7LVVKH/graph.json","fetch_events":"https://pith.science/api/pith-number/XHNQUSPC3MCQNDXOCOIW7LVVKH/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XHNQUSPC3MCQNDXOCOIW7LVVKH/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XHNQUSPC3MCQNDXOCOIW7LVVKH/action/storage_attestation","attest_author":"https://pith.science/pith/XHNQUSPC3MCQNDXOCOIW7LVVKH/action/author_attestation","sign_citation":"https://pith.science/pith/XHNQUSPC3MCQNDXOCOIW7LVVKH/action/citation_signature","submit_replication":"https://pith.science/pith/XHNQUSPC3MCQNDXOCOIW7LVVKH/action/replication_record"}},"created_at":"2026-07-04T17:27:07.153466+00:00","updated_at":"2026-07-04T17:27:07.153466+00:00"}