{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:3JRTFENAYYXRW67CNATL7QYR4Z","short_pith_number":"pith:3JRTFENA","schema_version":"1.0","canonical_sha256":"da633291a0c62f1b7be26826bfc311e64fb2d4c5bf79da6c6f08b03a268d8526","source":{"kind":"arxiv","id":"1801.08097","version":2},"attestation_state":"computed","paper":{"title":"Bogoliubov transformation and the thermal operator representation in the real time formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ashok Das, Atri Deshamukhya, Pushpa Kalauni, S. Panda","submitted_at":"2018-01-24T17:48:52Z","abstract_excerpt":"It has been shown earlier \\cite{brandt,brandt1} that, in the mixed space, there is an unexpected simple relation between any finite temperature graph and its zero temperature counterpart through a multiplicative scalar operator (termed thermal operator) which carries the entire temperature dependence. This was shown to hold only in the imaginary time formalism and the closed time path ($\\sigma=0$) of the real time formalism (as well as for its conjugate $\\sigma=1$). We study the origin of this operator from the more fundamental Bogoliubov transformation which acts, in the momentum space, on th"},"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":"1801.08097","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-01-24T17:48:52Z","cross_cats_sorted":[],"title_canon_sha256":"f6bbba4be8a074266e87f21e5d4f1c3210fb2f4856942f20f241e987fd74e58c","abstract_canon_sha256":"5ed73165b45e892a473f801b26eb2fa31183b9a5e68b464559d8aee0cfb5c652"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:22.908010Z","signature_b64":"z/GiXmyKUdo99GqfYw6WfGa8VWOzHLVreiegOsl6QxlOOU35CPDTUmIXjpPEwwT9ChBO4NwERLGI7XILcr8mBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"da633291a0c62f1b7be26826bfc311e64fb2d4c5bf79da6c6f08b03a268d8526","last_reissued_at":"2026-05-18T00:22:22.907231Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:22.907231Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Bogoliubov transformation and the thermal operator representation in the real time formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Ashok Das, Atri Deshamukhya, Pushpa Kalauni, S. Panda","submitted_at":"2018-01-24T17:48:52Z","abstract_excerpt":"It has been shown earlier \\cite{brandt,brandt1} that, in the mixed space, there is an unexpected simple relation between any finite temperature graph and its zero temperature counterpart through a multiplicative scalar operator (termed thermal operator) which carries the entire temperature dependence. This was shown to hold only in the imaginary time formalism and the closed time path ($\\sigma=0$) of the real time formalism (as well as for its conjugate $\\sigma=1$). We study the origin of this operator from the more fundamental Bogoliubov transformation which acts, in the momentum space, on th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.08097","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":""},"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":"1801.08097","created_at":"2026-05-18T00:22:22.907360+00:00"},{"alias_kind":"arxiv_version","alias_value":"1801.08097v2","created_at":"2026-05-18T00:22:22.907360+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.08097","created_at":"2026-05-18T00:22:22.907360+00:00"},{"alias_kind":"pith_short_12","alias_value":"3JRTFENAYYXR","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_16","alias_value":"3JRTFENAYYXRW67C","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_8","alias_value":"3JRTFENA","created_at":"2026-05-18T12:32:02.567920+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/3JRTFENAYYXRW67CNATL7QYR4Z","json":"https://pith.science/pith/3JRTFENAYYXRW67CNATL7QYR4Z.json","graph_json":"https://pith.science/api/pith-number/3JRTFENAYYXRW67CNATL7QYR4Z/graph.json","events_json":"https://pith.science/api/pith-number/3JRTFENAYYXRW67CNATL7QYR4Z/events.json","paper":"https://pith.science/paper/3JRTFENA"},"agent_actions":{"view_html":"https://pith.science/pith/3JRTFENAYYXRW67CNATL7QYR4Z","download_json":"https://pith.science/pith/3JRTFENAYYXRW67CNATL7QYR4Z.json","view_paper":"https://pith.science/paper/3JRTFENA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1801.08097&json=true","fetch_graph":"https://pith.science/api/pith-number/3JRTFENAYYXRW67CNATL7QYR4Z/graph.json","fetch_events":"https://pith.science/api/pith-number/3JRTFENAYYXRW67CNATL7QYR4Z/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3JRTFENAYYXRW67CNATL7QYR4Z/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3JRTFENAYYXRW67CNATL7QYR4Z/action/storage_attestation","attest_author":"https://pith.science/pith/3JRTFENAYYXRW67CNATL7QYR4Z/action/author_attestation","sign_citation":"https://pith.science/pith/3JRTFENAYYXRW67CNATL7QYR4Z/action/citation_signature","submit_replication":"https://pith.science/pith/3JRTFENAYYXRW67CNATL7QYR4Z/action/replication_record"}},"created_at":"2026-05-18T00:22:22.907360+00:00","updated_at":"2026-05-18T00:22:22.907360+00:00"}