{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2007:TVRH6GO3KR2KBH6HJCYSCYWPVC","short_pith_number":"pith:TVRH6GO3","schema_version":"1.0","canonical_sha256":"9d627f19db5474a09fc748b12162cfa8ab57ab724b948966457437c154ca7625","source":{"kind":"arxiv","id":"0708.2167","version":1},"attestation_state":"computed","paper":{"title":"Thompson's renormalization group method applied to QCD at high energy scale","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Claudio Nassif, J. A. Helayel-Neto, P. R. Silva","submitted_at":"2007-08-16T10:35:16Z","abstract_excerpt":"We use a renormalization group method to treat QCD-vacuum behavior specially closer to the regime of asymptotic freedom. QCD-vacuum behaves effectively like a \"paramagnetic system\" of a classical theory in the sense that virtual color charges (gluons) emerges in it as a spin effect of a paramagnetic material when a magnetic field aligns their microscopic magnetic dipoles. Due to that strong classical analogy with the paramagnetism of Landau's theory,we will be able to use a certain Landau effective action without temperature and phase transition for just representing QCD-vacuum behavior at hig"},"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":"0708.2167","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2007-08-16T10:35:16Z","cross_cats_sorted":[],"title_canon_sha256":"70b3fd24f2b2948af6f9cc9e58cb3af657a726faba517861c66c4bb9011b34e9","abstract_canon_sha256":"b7520af0d5a37f88536f87673ce9ea777ede7eebc49ad8e569c694cd35575acb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:38.287287Z","signature_b64":"DDkcZI7JNsbxZ6Bnq0Njd6aYF4YjI6yG7Adtbx3Fge1mjy6QSuclXuRhwUzPhbKlsjYMeTD7hsm3pc6iOqD7Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9d627f19db5474a09fc748b12162cfa8ab57ab724b948966457437c154ca7625","last_reissued_at":"2026-05-18T01:17:38.286724Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:38.286724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thompson's renormalization group method applied to QCD at high energy scale","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Claudio Nassif, J. A. Helayel-Neto, P. R. Silva","submitted_at":"2007-08-16T10:35:16Z","abstract_excerpt":"We use a renormalization group method to treat QCD-vacuum behavior specially closer to the regime of asymptotic freedom. QCD-vacuum behaves effectively like a \"paramagnetic system\" of a classical theory in the sense that virtual color charges (gluons) emerges in it as a spin effect of a paramagnetic material when a magnetic field aligns their microscopic magnetic dipoles. Due to that strong classical analogy with the paramagnetism of Landau's theory,we will be able to use a certain Landau effective action without temperature and phase transition for just representing QCD-vacuum behavior at hig"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0708.2167","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":"0708.2167","created_at":"2026-05-18T01:17:38.286819+00:00"},{"alias_kind":"arxiv_version","alias_value":"0708.2167v1","created_at":"2026-05-18T01:17:38.286819+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0708.2167","created_at":"2026-05-18T01:17:38.286819+00:00"},{"alias_kind":"pith_short_12","alias_value":"TVRH6GO3KR2K","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_16","alias_value":"TVRH6GO3KR2KBH6H","created_at":"2026-05-18T12:25:56.245647+00:00"},{"alias_kind":"pith_short_8","alias_value":"TVRH6GO3","created_at":"2026-05-18T12:25:56.245647+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/TVRH6GO3KR2KBH6HJCYSCYWPVC","json":"https://pith.science/pith/TVRH6GO3KR2KBH6HJCYSCYWPVC.json","graph_json":"https://pith.science/api/pith-number/TVRH6GO3KR2KBH6HJCYSCYWPVC/graph.json","events_json":"https://pith.science/api/pith-number/TVRH6GO3KR2KBH6HJCYSCYWPVC/events.json","paper":"https://pith.science/paper/TVRH6GO3"},"agent_actions":{"view_html":"https://pith.science/pith/TVRH6GO3KR2KBH6HJCYSCYWPVC","download_json":"https://pith.science/pith/TVRH6GO3KR2KBH6HJCYSCYWPVC.json","view_paper":"https://pith.science/paper/TVRH6GO3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0708.2167&json=true","fetch_graph":"https://pith.science/api/pith-number/TVRH6GO3KR2KBH6HJCYSCYWPVC/graph.json","fetch_events":"https://pith.science/api/pith-number/TVRH6GO3KR2KBH6HJCYSCYWPVC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TVRH6GO3KR2KBH6HJCYSCYWPVC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TVRH6GO3KR2KBH6HJCYSCYWPVC/action/storage_attestation","attest_author":"https://pith.science/pith/TVRH6GO3KR2KBH6HJCYSCYWPVC/action/author_attestation","sign_citation":"https://pith.science/pith/TVRH6GO3KR2KBH6HJCYSCYWPVC/action/citation_signature","submit_replication":"https://pith.science/pith/TVRH6GO3KR2KBH6HJCYSCYWPVC/action/replication_record"}},"created_at":"2026-05-18T01:17:38.286819+00:00","updated_at":"2026-05-18T01:17:38.286819+00:00"}