{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:YC4XUGPBD6QJHHLEHY6FIEKQXE","short_pith_number":"pith:YC4XUGPB","schema_version":"1.0","canonical_sha256":"c0b97a19e11fa0939d643e3c541150b92cc073c9cfc5db0d250d81e0a8132e11","source":{"kind":"arxiv","id":"hep-ph/0304092","version":2},"attestation_state":"computed","paper":{"title":"Collective Modes of an Anisotropic Quark-Gluon Plasma","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Michael Strickland, Paul Romatschke","submitted_at":"2003-04-09T15:16:29Z","abstract_excerpt":"We analyze the collective modes of high-temperature QCD in the case when there is an anisotropy in the momentum-space distribution function for the gluons. We perform a tensor decomposition of the gluon self-energy and solve the dispersion relations for both stable and unstable modes. Results are presented for a class of anisotropic distribution functions which can be obtained by stretching or squeezing an isotropic distribution function along one direction in momentum space. We find that there are three stable modes and either one or two unstable modes depending on whether the distribution fu"},"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/0304092","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2003-04-09T15:16:29Z","cross_cats_sorted":[],"title_canon_sha256":"d6afaa877a14855e4c3712bed79e0fd7cb817bfc1e2c68996a889c0d87b64c96","abstract_canon_sha256":"efdefb103d6ba2cac197d8e56948c65c8c7d36f6c8aaca7502370eefd1d8bcbe"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:17:39.926811Z","signature_b64":"EUUD8Gk70trJcA7vGVhU4RACykDUq3fjPxTpEvKf7m7dbT1fCD0EskyL1lkq0/7yptqHEp4G3gxwOhD3RLt/Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0b97a19e11fa0939d643e3c541150b92cc073c9cfc5db0d250d81e0a8132e11","last_reissued_at":"2026-07-04T15:17:39.926440Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:17:39.926440Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Collective Modes of an Anisotropic Quark-Gluon Plasma","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Michael Strickland, Paul Romatschke","submitted_at":"2003-04-09T15:16:29Z","abstract_excerpt":"We analyze the collective modes of high-temperature QCD in the case when there is an anisotropy in the momentum-space distribution function for the gluons. We perform a tensor decomposition of the gluon self-energy and solve the dispersion relations for both stable and unstable modes. Results are presented for a class of anisotropic distribution functions which can be obtained by stretching or squeezing an isotropic distribution function along one direction in momentum space. We find that there are three stable modes and either one or two unstable modes depending on whether the distribution fu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0304092","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/0304092/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/0304092","created_at":"2026-07-04T15:17:39.926491+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0304092v2","created_at":"2026-07-04T15:17:39.926491+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0304092","created_at":"2026-07-04T15:17:39.926491+00:00"},{"alias_kind":"pith_short_12","alias_value":"YC4XUGPBD6QJ","created_at":"2026-07-04T15:17:39.926491+00:00"},{"alias_kind":"pith_short_16","alias_value":"YC4XUGPBD6QJHHLE","created_at":"2026-07-04T15:17:39.926491+00:00"},{"alias_kind":"pith_short_8","alias_value":"YC4XUGPB","created_at":"2026-07-04T15:17:39.926491+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":3,"sample":[{"citing_arxiv_id":"2607.06138","citing_title":"Vector-Meson Spin Alignment from Anisotropic Quark or Hadron Coalescence","ref_index":36,"is_internal_anchor":true},{"citing_arxiv_id":"2606.02723","citing_title":"Magnetized bottom-up thermalization in heavy-ion collisions","ref_index":6,"is_internal_anchor":true},{"citing_arxiv_id":"2509.24316","citing_title":"Energy loss of heavy-flavor quarks in color string medium","ref_index":107,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/YC4XUGPBD6QJHHLEHY6FIEKQXE","json":"https://pith.science/pith/YC4XUGPBD6QJHHLEHY6FIEKQXE.json","graph_json":"https://pith.science/api/pith-number/YC4XUGPBD6QJHHLEHY6FIEKQXE/graph.json","events_json":"https://pith.science/api/pith-number/YC4XUGPBD6QJHHLEHY6FIEKQXE/events.json","paper":"https://pith.science/paper/YC4XUGPB"},"agent_actions":{"view_html":"https://pith.science/pith/YC4XUGPBD6QJHHLEHY6FIEKQXE","download_json":"https://pith.science/pith/YC4XUGPBD6QJHHLEHY6FIEKQXE.json","view_paper":"https://pith.science/paper/YC4XUGPB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0304092&json=true","fetch_graph":"https://pith.science/api/pith-number/YC4XUGPBD6QJHHLEHY6FIEKQXE/graph.json","fetch_events":"https://pith.science/api/pith-number/YC4XUGPBD6QJHHLEHY6FIEKQXE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YC4XUGPBD6QJHHLEHY6FIEKQXE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YC4XUGPBD6QJHHLEHY6FIEKQXE/action/storage_attestation","attest_author":"https://pith.science/pith/YC4XUGPBD6QJHHLEHY6FIEKQXE/action/author_attestation","sign_citation":"https://pith.science/pith/YC4XUGPBD6QJHHLEHY6FIEKQXE/action/citation_signature","submit_replication":"https://pith.science/pith/YC4XUGPBD6QJHHLEHY6FIEKQXE/action/replication_record"}},"created_at":"2026-07-04T15:17:39.926491+00:00","updated_at":"2026-07-04T15:17:39.926491+00:00"}