{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:2DYYFDNQN3PRVMXRKL444KUGN3","short_pith_number":"pith:2DYYFDNQ","schema_version":"1.0","canonical_sha256":"d0f1828db06edf1ab2f152f9ce2a866edc6cf49da423673f1d1b8fb333585f02","source":{"kind":"arxiv","id":"hep-ph/0304023","version":1},"attestation_state":"computed","paper":{"title":"Angular intricacies in hot gauge field theories","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Thierry Grandou","submitted_at":"2003-04-02T17:22:27Z","abstract_excerpt":"It is argued that in hot gauge field theories, \"Hard Thermal Loops\" leading order calculations call for a definite sequence of angular averages and discontinuity (or Imaginary part prescription) operations, and run otherwise into incorrect results. The ten years old collinear singularity problem of hot $QCD$, provides a striking illustration of that fate."},"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/0304023","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2003-04-02T17:22:27Z","cross_cats_sorted":[],"title_canon_sha256":"7dd9af806b20e4b8a69f4af71014da58ea4d818e3b78bc41e9117a5c47f2fae1","abstract_canon_sha256":"58952e123fa46a740f6202ba3ac7416509cee844f91ff36c94b120acd72486ca"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:06.767847Z","signature_b64":"99bCF/re24BRe/QW9H4AgjtUzhdDxLvQeHv/2KYcXhxtKwGRaGqYoLL50klWisACLEqAeXYBP/6VWf75FEieBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d0f1828db06edf1ab2f152f9ce2a866edc6cf49da423673f1d1b8fb333585f02","last_reissued_at":"2026-05-18T01:39:06.767346Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:06.767346Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Angular intricacies in hot gauge field theories","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Thierry Grandou","submitted_at":"2003-04-02T17:22:27Z","abstract_excerpt":"It is argued that in hot gauge field theories, \"Hard Thermal Loops\" leading order calculations call for a definite sequence of angular averages and discontinuity (or Imaginary part prescription) operations, and run otherwise into incorrect results. The ten years old collinear singularity problem of hot $QCD$, provides a striking illustration of that fate."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0304023","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":"hep-ph/0304023","created_at":"2026-05-18T01:39:06.767413+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0304023v1","created_at":"2026-05-18T01:39:06.767413+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0304023","created_at":"2026-05-18T01:39:06.767413+00:00"},{"alias_kind":"pith_short_12","alias_value":"2DYYFDNQN3PR","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"2DYYFDNQN3PRVMXR","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"2DYYFDNQ","created_at":"2026-05-18T12:25:51.375804+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2DYYFDNQN3PRVMXRKL444KUGN3","json":"https://pith.science/pith/2DYYFDNQN3PRVMXRKL444KUGN3.json","graph_json":"https://pith.science/api/pith-number/2DYYFDNQN3PRVMXRKL444KUGN3/graph.json","events_json":"https://pith.science/api/pith-number/2DYYFDNQN3PRVMXRKL444KUGN3/events.json","paper":"https://pith.science/paper/2DYYFDNQ"},"agent_actions":{"view_html":"https://pith.science/pith/2DYYFDNQN3PRVMXRKL444KUGN3","download_json":"https://pith.science/pith/2DYYFDNQN3PRVMXRKL444KUGN3.json","view_paper":"https://pith.science/paper/2DYYFDNQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/0304023&json=true","fetch_graph":"https://pith.science/api/pith-number/2DYYFDNQN3PRVMXRKL444KUGN3/graph.json","fetch_events":"https://pith.science/api/pith-number/2DYYFDNQN3PRVMXRKL444KUGN3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2DYYFDNQN3PRVMXRKL444KUGN3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2DYYFDNQN3PRVMXRKL444KUGN3/action/storage_attestation","attest_author":"https://pith.science/pith/2DYYFDNQN3PRVMXRKL444KUGN3/action/author_attestation","sign_citation":"https://pith.science/pith/2DYYFDNQN3PRVMXRKL444KUGN3/action/citation_signature","submit_replication":"https://pith.science/pith/2DYYFDNQN3PRVMXRKL444KUGN3/action/replication_record"}},"created_at":"2026-05-18T01:39:06.767413+00:00","updated_at":"2026-05-18T01:39:06.767413+00:00"}