{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:L7QQSS25F4WB5ZNJ6OUE7DKEWF","short_pith_number":"pith:L7QQSS25","schema_version":"1.0","canonical_sha256":"5fe1094b5d2f2c1ee5a9f3a84f8d44b175a1c10bb148d37f2f952bb229d8bee8","source":{"kind":"arxiv","id":"2411.02498","version":2},"attestation_state":"computed","paper":{"title":"Introduction to Thermal Field Theory: From First Principles to Applications","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"hep-ph","authors_text":"Alberto Salvio","submitted_at":"2024-11-04T19:00:02Z","abstract_excerpt":"This review article provides the basics and discusses some important applications of thermal field theory, namely the combination of statistical mechanics and relativistic quantum field theory. In a first part the fundamentals are covered: the density matrix, the corresponding averages and the treatment of fields of various spin in a medium. A second part is dedicated to the computation of thermal Green's function for scalars, vectors and fermions with path-integral methods. These functions play a crucial role in thermal field theory, as explained here. A more applicative part of the review is"},"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":"2411.02498","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2024-11-04T19:00:02Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"fe5e9f17e8156c3e29b53c96a5339c7051c6108be8e40f860df66da0e38fe108","abstract_canon_sha256":"31f93a5a8dc7b6116b910b007143c7f3979bc6e7cb2e4f358a5c053aa791af0d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:01:17.495437Z","signature_b64":"Qol9MmWAElqpXU+ptJKYhUyv4xr02WlTK0FGh57O3+o7z+7bBTeGKteP8ZLS6LbQOyOP7k8UCGfI3o3Wys1wBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fe1094b5d2f2c1ee5a9f3a84f8d44b175a1c10bb148d37f2f952bb229d8bee8","last_reissued_at":"2026-07-05T10:01:17.494910Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:01:17.494910Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Introduction to Thermal Field Theory: From First Principles to Applications","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"hep-ph","authors_text":"Alberto Salvio","submitted_at":"2024-11-04T19:00:02Z","abstract_excerpt":"This review article provides the basics and discusses some important applications of thermal field theory, namely the combination of statistical mechanics and relativistic quantum field theory. In a first part the fundamentals are covered: the density matrix, the corresponding averages and the treatment of fields of various spin in a medium. A second part is dedicated to the computation of thermal Green's function for scalars, vectors and fermions with path-integral methods. These functions play a crucial role in thermal field theory, as explained here. A more applicative part of the review is"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.02498","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/2411.02498/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":"2411.02498","created_at":"2026-07-05T10:01:17.494969+00:00"},{"alias_kind":"arxiv_version","alias_value":"2411.02498v2","created_at":"2026-07-05T10:01:17.494969+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.02498","created_at":"2026-07-05T10:01:17.494969+00:00"},{"alias_kind":"pith_short_12","alias_value":"L7QQSS25F4WB","created_at":"2026-07-05T10:01:17.494969+00:00"},{"alias_kind":"pith_short_16","alias_value":"L7QQSS25F4WB5ZNJ","created_at":"2026-07-05T10:01:17.494969+00:00"},{"alias_kind":"pith_short_8","alias_value":"L7QQSS25","created_at":"2026-07-05T10:01:17.494969+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2509.03656","citing_title":"Loops Outside a Black Hole","ref_index":78,"is_internal_anchor":false},{"citing_arxiv_id":"2601.02458","citing_title":"Cosmic Collider Gravitational Waves sourced by Right-handed Neutrino production from Bubbles: Testing Seesaw, Leptogenesis and Dark Matter","ref_index":203,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/L7QQSS25F4WB5ZNJ6OUE7DKEWF","json":"https://pith.science/pith/L7QQSS25F4WB5ZNJ6OUE7DKEWF.json","graph_json":"https://pith.science/api/pith-number/L7QQSS25F4WB5ZNJ6OUE7DKEWF/graph.json","events_json":"https://pith.science/api/pith-number/L7QQSS25F4WB5ZNJ6OUE7DKEWF/events.json","paper":"https://pith.science/paper/L7QQSS25"},"agent_actions":{"view_html":"https://pith.science/pith/L7QQSS25F4WB5ZNJ6OUE7DKEWF","download_json":"https://pith.science/pith/L7QQSS25F4WB5ZNJ6OUE7DKEWF.json","view_paper":"https://pith.science/paper/L7QQSS25","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2411.02498&json=true","fetch_graph":"https://pith.science/api/pith-number/L7QQSS25F4WB5ZNJ6OUE7DKEWF/graph.json","fetch_events":"https://pith.science/api/pith-number/L7QQSS25F4WB5ZNJ6OUE7DKEWF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/L7QQSS25F4WB5ZNJ6OUE7DKEWF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/L7QQSS25F4WB5ZNJ6OUE7DKEWF/action/storage_attestation","attest_author":"https://pith.science/pith/L7QQSS25F4WB5ZNJ6OUE7DKEWF/action/author_attestation","sign_citation":"https://pith.science/pith/L7QQSS25F4WB5ZNJ6OUE7DKEWF/action/citation_signature","submit_replication":"https://pith.science/pith/L7QQSS25F4WB5ZNJ6OUE7DKEWF/action/replication_record"}},"created_at":"2026-07-05T10:01:17.494969+00:00","updated_at":"2026-07-05T10:01:17.494969+00:00"}