{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:5P5CPEKBUOR6JEUVOSUNASDJON","short_pith_number":"pith:5P5CPEKB","schema_version":"1.0","canonical_sha256":"ebfa279141a3a3e4929574a8d048697374d08e959cba11455ce6b8680796b8a4","source":{"kind":"arxiv","id":"1805.02767","version":2},"attestation_state":"computed","paper":{"title":"Kinetic theory and classical limit for real scalar quantum field in curved space-time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Pavel Friedrich, Tomislav Prokopec","submitted_at":"2018-05-07T22:09:01Z","abstract_excerpt":"Starting from a real scalar quantum field theory with quartic self-interactions and non-minimal coupling to classical gravity, we define four equal-time, spatially covariant phase-space operators through a Wigner transformation of spatially translated canonical operators within a 3+1 decomposition. A subset of these operators can be interpreted as fluctuating particle densities in phase-space whenever the quantum state of the system allows for a classical limit. We come to this conclusion by expressing hydrodynamic variables through the expectation values of these operators and moreover, by de"},"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":"1805.02767","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-07T22:09:01Z","cross_cats_sorted":["astro-ph.CO","hep-th"],"title_canon_sha256":"c0099d2e3a7e83ad493e3df272c698193c1668a8c636e6e2b79a9a339fad759e","abstract_canon_sha256":"031f5d85b3e1cffd41385bf8cd1ee9464cba8f3997b7d15086de30bfbc61fc0e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:10:44.587583Z","signature_b64":"clHnEt+W9WKKDTslbtpmHihoM+z/h5gmHxtET8inUuFU3xoHB+J2eNmJl96XRwi5QAmGcfatr6Ky7i3yfkVxDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ebfa279141a3a3e4929574a8d048697374d08e959cba11455ce6b8680796b8a4","last_reissued_at":"2026-05-18T00:10:44.587201Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:10:44.587201Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Kinetic theory and classical limit for real scalar quantum field in curved space-time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","hep-th"],"primary_cat":"gr-qc","authors_text":"Pavel Friedrich, Tomislav Prokopec","submitted_at":"2018-05-07T22:09:01Z","abstract_excerpt":"Starting from a real scalar quantum field theory with quartic self-interactions and non-minimal coupling to classical gravity, we define four equal-time, spatially covariant phase-space operators through a Wigner transformation of spatially translated canonical operators within a 3+1 decomposition. A subset of these operators can be interpreted as fluctuating particle densities in phase-space whenever the quantum state of the system allows for a classical limit. We come to this conclusion by expressing hydrodynamic variables through the expectation values of these operators and moreover, by de"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.02767","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":"1805.02767","created_at":"2026-05-18T00:10:44.587254+00:00"},{"alias_kind":"arxiv_version","alias_value":"1805.02767v2","created_at":"2026-05-18T00:10:44.587254+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.02767","created_at":"2026-05-18T00:10:44.587254+00:00"},{"alias_kind":"pith_short_12","alias_value":"5P5CPEKBUOR6","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_16","alias_value":"5P5CPEKBUOR6JEUV","created_at":"2026-05-18T12:32:08.215937+00:00"},{"alias_kind":"pith_short_8","alias_value":"5P5CPEKB","created_at":"2026-05-18T12:32:08.215937+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/5P5CPEKBUOR6JEUVOSUNASDJON","json":"https://pith.science/pith/5P5CPEKBUOR6JEUVOSUNASDJON.json","graph_json":"https://pith.science/api/pith-number/5P5CPEKBUOR6JEUVOSUNASDJON/graph.json","events_json":"https://pith.science/api/pith-number/5P5CPEKBUOR6JEUVOSUNASDJON/events.json","paper":"https://pith.science/paper/5P5CPEKB"},"agent_actions":{"view_html":"https://pith.science/pith/5P5CPEKBUOR6JEUVOSUNASDJON","download_json":"https://pith.science/pith/5P5CPEKBUOR6JEUVOSUNASDJON.json","view_paper":"https://pith.science/paper/5P5CPEKB","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1805.02767&json=true","fetch_graph":"https://pith.science/api/pith-number/5P5CPEKBUOR6JEUVOSUNASDJON/graph.json","fetch_events":"https://pith.science/api/pith-number/5P5CPEKBUOR6JEUVOSUNASDJON/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5P5CPEKBUOR6JEUVOSUNASDJON/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5P5CPEKBUOR6JEUVOSUNASDJON/action/storage_attestation","attest_author":"https://pith.science/pith/5P5CPEKBUOR6JEUVOSUNASDJON/action/author_attestation","sign_citation":"https://pith.science/pith/5P5CPEKBUOR6JEUVOSUNASDJON/action/citation_signature","submit_replication":"https://pith.science/pith/5P5CPEKBUOR6JEUVOSUNASDJON/action/replication_record"}},"created_at":"2026-05-18T00:10:44.587254+00:00","updated_at":"2026-05-18T00:10:44.587254+00:00"}