{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:AZQKXEB3WTUOIHQRHLKG7TZP4Y","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":"7758aa668edf748a6fd976007ff3566b415aafaa31847d356ffa07fd37dc8f48","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-09-19T16:36:40Z","title_canon_sha256":"4f2f954f00712b13334804adbd594e9481b6faa0826ec38dd4298a7d645a4e05"},"schema_version":"1.0","source":{"id":"1109.4083","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.4083","created_at":"2026-05-18T04:05:59Z"},{"alias_kind":"arxiv_version","alias_value":"1109.4083v2","created_at":"2026-05-18T04:05:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.4083","created_at":"2026-05-18T04:05:59Z"},{"alias_kind":"pith_short_12","alias_value":"AZQKXEB3WTUO","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"AZQKXEB3WTUOIHQR","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"AZQKXEB3","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:3cad57a9dca97a2d5d9ba4038f8522eb58de8dd37ab107d6c0af70a200fd4768","target":"graph","created_at":"2026-05-18T04:05:59Z","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":"The electric permittivity and magnetic permeability for the quark-gluon plasma (QGP) is calculated within the hard-thermal-loop (HTL) perturbation theory. The refractive indices in the magnetizable and non-magnetizable plasmas are calculated. In a magnetizable plasma, there is a frequency pole $\\omega_{mp}$ in the magnetic permeability and the refractive index. The refractive index becomes negative in the range $\\omega\\in[k,\\omega_{mp}]$, where $k$ is the wave number, but no propagating modes are found. In a non-magnetizable plasma, the magnetic permeability and the refractive index are always","authors_text":"Hao-jie Xu, Juan Liu, M. J. Luo, Qun Wang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-09-19T16:36:40Z","title":"Refractive Index of Light in the Quark-Gluon Plasma with the Hard-Thermal-Loop Perturbation Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.4083","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":"sha256:0b31a5c1671370396c4ec544b83622f01cd00ba92eddec26a5f76323f409cede","target":"record","created_at":"2026-05-18T04:05:59Z","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":"7758aa668edf748a6fd976007ff3566b415aafaa31847d356ffa07fd37dc8f48","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-09-19T16:36:40Z","title_canon_sha256":"4f2f954f00712b13334804adbd594e9481b6faa0826ec38dd4298a7d645a4e05"},"schema_version":"1.0","source":{"id":"1109.4083","kind":"arxiv","version":2}},"canonical_sha256":"0660ab903bb4e8e41e113ad46fcf2fe6066f425ce16f6b895891b7733e7259c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0660ab903bb4e8e41e113ad46fcf2fe6066f425ce16f6b895891b7733e7259c4","first_computed_at":"2026-05-18T04:05:59.033470Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:59.033470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aHbXCpjh0pAdb+IqyQ1Z1K4b3WSiKMzV1V5uBcjJjp6Q8dOSRwUf/EY2ceNz2929KiAA9ENt53QEgzV/rP7LBA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:59.034086Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.4083","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b31a5c1671370396c4ec544b83622f01cd00ba92eddec26a5f76323f409cede","sha256:3cad57a9dca97a2d5d9ba4038f8522eb58de8dd37ab107d6c0af70a200fd4768"],"state_sha256":"e393ac1db1b4c4af66d564171c7c320a03462b6cf7ad0fbf00ec4a0d928ba319"}