{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1997:VPLRLQSOJ6PQAUC25DVDMBS5YW","short_pith_number":"pith:VPLRLQSO","schema_version":"1.0","canonical_sha256":"abd715c24e4f9f00505ae8ea36065dc59bb3fd61297b0593fa528ec73ca3a20c","source":{"kind":"arxiv","id":"hep-ph/9712506","version":1},"attestation_state":"computed","paper":{"title":"Renormalization of nonequilibrium dynamics at large N and finite temperature","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Carsten Patzold (Dortmund University), Juergen Baacke, Katrin Heitmann","submitted_at":"1997-12-23T15:08:43Z","abstract_excerpt":"We generalize a previously proposed renormalization and computation scheme for nonequilibrium dynamics to include finite temperature and one-loop selfconsistency as arising in the large-N limit. Since such a scheme amounts essentially to tadpole summation, it also includes, at high temperature, the hard mass corrections proportional to T^2. We present some numerical examples at T=0 and at finite temperature; the results reproduce the essential features of other groups. Especially, we can confirm a recently discovered sum rule for the late time behaviour."},"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/9712506","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1997-12-23T15:08:43Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"069078fc1090063752dc3a3c091a44468cc476e9f14027d89bd78eabc9161b99","abstract_canon_sha256":"5b4202e161eb26a06f2b9fb7b90c7e190a08a8c95cffe266d3905b3ffd85275c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:08:04.771305Z","signature_b64":"ePSYlJWhIy4Ey04Iv8ig+d1IiGveKMGwIKZ0lCp3cze+fXM3Ih3bokp36kLEVHA8inQXzy1OCP8cCMbWJJMTDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"abd715c24e4f9f00505ae8ea36065dc59bb3fd61297b0593fa528ec73ca3a20c","last_reissued_at":"2026-05-18T01:08:04.770917Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:08:04.770917Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Renormalization of nonequilibrium dynamics at large N and finite temperature","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Carsten Patzold (Dortmund University), Juergen Baacke, Katrin Heitmann","submitted_at":"1997-12-23T15:08:43Z","abstract_excerpt":"We generalize a previously proposed renormalization and computation scheme for nonequilibrium dynamics to include finite temperature and one-loop selfconsistency as arising in the large-N limit. Since such a scheme amounts essentially to tadpole summation, it also includes, at high temperature, the hard mass corrections proportional to T^2. We present some numerical examples at T=0 and at finite temperature; the results reproduce the essential features of other groups. Especially, we can confirm a recently discovered sum rule for the late time behaviour."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9712506","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/9712506","created_at":"2026-05-18T01:08:04.770973+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9712506v1","created_at":"2026-05-18T01:08:04.770973+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9712506","created_at":"2026-05-18T01:08:04.770973+00:00"},{"alias_kind":"pith_short_12","alias_value":"VPLRLQSOJ6PQ","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_16","alias_value":"VPLRLQSOJ6PQAUC2","created_at":"2026-05-18T12:25:48.327863+00:00"},{"alias_kind":"pith_short_8","alias_value":"VPLRLQSO","created_at":"2026-05-18T12:25:48.327863+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/VPLRLQSOJ6PQAUC25DVDMBS5YW","json":"https://pith.science/pith/VPLRLQSOJ6PQAUC25DVDMBS5YW.json","graph_json":"https://pith.science/api/pith-number/VPLRLQSOJ6PQAUC25DVDMBS5YW/graph.json","events_json":"https://pith.science/api/pith-number/VPLRLQSOJ6PQAUC25DVDMBS5YW/events.json","paper":"https://pith.science/paper/VPLRLQSO"},"agent_actions":{"view_html":"https://pith.science/pith/VPLRLQSOJ6PQAUC25DVDMBS5YW","download_json":"https://pith.science/pith/VPLRLQSOJ6PQAUC25DVDMBS5YW.json","view_paper":"https://pith.science/paper/VPLRLQSO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/9712506&json=true","fetch_graph":"https://pith.science/api/pith-number/VPLRLQSOJ6PQAUC25DVDMBS5YW/graph.json","fetch_events":"https://pith.science/api/pith-number/VPLRLQSOJ6PQAUC25DVDMBS5YW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VPLRLQSOJ6PQAUC25DVDMBS5YW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VPLRLQSOJ6PQAUC25DVDMBS5YW/action/storage_attestation","attest_author":"https://pith.science/pith/VPLRLQSOJ6PQAUC25DVDMBS5YW/action/author_attestation","sign_citation":"https://pith.science/pith/VPLRLQSOJ6PQAUC25DVDMBS5YW/action/citation_signature","submit_replication":"https://pith.science/pith/VPLRLQSOJ6PQAUC25DVDMBS5YW/action/replication_record"}},"created_at":"2026-05-18T01:08:04.770973+00:00","updated_at":"2026-05-18T01:08:04.770973+00:00"}