{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:TO7CNCZM4XYFYFG2CHOU7MCVZI","short_pith_number":"pith:TO7CNCZM","schema_version":"1.0","canonical_sha256":"9bbe268b2ce5f05c14da11dd4fb055ca313c6ba87ad1145bf84765c9f8f6f5db","source":{"kind":"arxiv","id":"1408.1318","version":1},"attestation_state":"computed","paper":{"title":"Charged and neutral vector meson under magnetic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Hao Liu, Lang Yu, Mei Huang","submitted_at":"2014-08-06T15:17:43Z","abstract_excerpt":"The vector meson $\\rho$ in the presence of external magnetic field has been investigated in the framework of the Nambu--Jona-Lasinio model, where mesons are constructed by infinite sum of quark-loop chains by using random phase approximation. The $\\rho$ meson polarization function is calculated to the leading order of $1/N_c$ expansion. It is found that the constituent quark mass increases with magnetic field, the masses of the neutral vector meson $\\rho^{0}$ with spin component $s_z=0,\\,\\pm1$ and the charged vector meson $\\rho^{\\pm}$ with $s_z=0$ also increases with magnetic field. However, t"},"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":"1408.1318","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-08-06T15:17:43Z","cross_cats_sorted":["hep-lat","hep-th","nucl-th"],"title_canon_sha256":"f20494f50cdfce7700ff8db4fc10779a8f91c770eb6cef974340ac8f559c821d","abstract_canon_sha256":"e52edc13fd7384ed5390e848af3b581e139c44a6576309513d0c927ea0a43072"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:42:23.247654Z","signature_b64":"b9u2q9jPaFh/tgImwGMs2KMr4p3b87RueWf30e4JBYpX/xo3S/BvVauYFF5BU6nGlT2BlfUa1mZD1wU638OsDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9bbe268b2ce5f05c14da11dd4fb055ca313c6ba87ad1145bf84765c9f8f6f5db","last_reissued_at":"2026-05-18T01:42:23.247036Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:42:23.247036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Charged and neutral vector meson under magnetic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-lat","hep-th","nucl-th"],"primary_cat":"hep-ph","authors_text":"Hao Liu, Lang Yu, Mei Huang","submitted_at":"2014-08-06T15:17:43Z","abstract_excerpt":"The vector meson $\\rho$ in the presence of external magnetic field has been investigated in the framework of the Nambu--Jona-Lasinio model, where mesons are constructed by infinite sum of quark-loop chains by using random phase approximation. The $\\rho$ meson polarization function is calculated to the leading order of $1/N_c$ expansion. It is found that the constituent quark mass increases with magnetic field, the masses of the neutral vector meson $\\rho^{0}$ with spin component $s_z=0,\\,\\pm1$ and the charged vector meson $\\rho^{\\pm}$ with $s_z=0$ also increases with magnetic field. However, t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1318","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1408.1318","created_at":"2026-05-18T01:42:23.247128+00:00"},{"alias_kind":"arxiv_version","alias_value":"1408.1318v1","created_at":"2026-05-18T01:42:23.247128+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1318","created_at":"2026-05-18T01:42:23.247128+00:00"},{"alias_kind":"pith_short_12","alias_value":"TO7CNCZM4XYF","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"TO7CNCZM4XYFYFG2","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"TO7CNCZM","created_at":"2026-05-18T12:28:49.207871+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.24595","citing_title":"Mass spectra of charged mesons and the quenching of vector meson condensation via exact phase-space diagonalization","ref_index":77,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TO7CNCZM4XYFYFG2CHOU7MCVZI","json":"https://pith.science/pith/TO7CNCZM4XYFYFG2CHOU7MCVZI.json","graph_json":"https://pith.science/api/pith-number/TO7CNCZM4XYFYFG2CHOU7MCVZI/graph.json","events_json":"https://pith.science/api/pith-number/TO7CNCZM4XYFYFG2CHOU7MCVZI/events.json","paper":"https://pith.science/paper/TO7CNCZM"},"agent_actions":{"view_html":"https://pith.science/pith/TO7CNCZM4XYFYFG2CHOU7MCVZI","download_json":"https://pith.science/pith/TO7CNCZM4XYFYFG2CHOU7MCVZI.json","view_paper":"https://pith.science/paper/TO7CNCZM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1408.1318&json=true","fetch_graph":"https://pith.science/api/pith-number/TO7CNCZM4XYFYFG2CHOU7MCVZI/graph.json","fetch_events":"https://pith.science/api/pith-number/TO7CNCZM4XYFYFG2CHOU7MCVZI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TO7CNCZM4XYFYFG2CHOU7MCVZI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TO7CNCZM4XYFYFG2CHOU7MCVZI/action/storage_attestation","attest_author":"https://pith.science/pith/TO7CNCZM4XYFYFG2CHOU7MCVZI/action/author_attestation","sign_citation":"https://pith.science/pith/TO7CNCZM4XYFYFG2CHOU7MCVZI/action/citation_signature","submit_replication":"https://pith.science/pith/TO7CNCZM4XYFYFG2CHOU7MCVZI/action/replication_record"}},"created_at":"2026-05-18T01:42:23.247128+00:00","updated_at":"2026-05-18T01:42:23.247128+00:00"}