{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:NMYS7UAYN3UC6LN2L3QQ33TZRY","short_pith_number":"pith:NMYS7UAY","schema_version":"1.0","canonical_sha256":"6b312fd0186ee82f2dba5ee10dee798e0b1970fa2982872ab97358cb17096fd5","source":{"kind":"arxiv","id":"0806.0642","version":2},"attestation_state":"computed","paper":{"title":"Thermodynamics of k-essence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Neven Bilic","submitted_at":"2008-06-03T21:59:26Z","abstract_excerpt":"We discuss thermodynamic properties of dark energy using the formalism of field theory at finite temperature. In particular, we apply our formalism to a purely kinetic type of k-essence. We show quite generally that the entropy associated with dark-energy is always equal or greater than zero. Hence, contrary to often stated claims, a violation of the null energy condition (phantom dark energy) does not necessarily yield a negative entropy. In addition, we find that the thermal fluctuations of a k-essence field may be represented by a free boson gas with an effective number of degrees of freedo"},"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":"0806.0642","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2008-06-03T21:59:26Z","cross_cats_sorted":["astro-ph","hep-th"],"title_canon_sha256":"5656374fd535719a51f0d6f6c3ce908a446508fe652af8d77040e7247bc6b403","abstract_canon_sha256":"5adb1fa7a14694416ec474af780a032c9ef02e6e9037386b94a2615fa5b1f947"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:34:08.365804Z","signature_b64":"wcrJ6H+OQ1ZerL5Va10lwN5G6XzZqfzRe1FsJyprE+bjmHKpPsjjzq9jjYiHSv4I3Qr/BO9R2Qd9oCxpse8RBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6b312fd0186ee82f2dba5ee10dee798e0b1970fa2982872ab97358cb17096fd5","last_reissued_at":"2026-07-04T15:34:08.365195Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:34:08.365195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Thermodynamics of k-essence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph","hep-th"],"primary_cat":"gr-qc","authors_text":"Neven Bilic","submitted_at":"2008-06-03T21:59:26Z","abstract_excerpt":"We discuss thermodynamic properties of dark energy using the formalism of field theory at finite temperature. In particular, we apply our formalism to a purely kinetic type of k-essence. We show quite generally that the entropy associated with dark-energy is always equal or greater than zero. Hence, contrary to often stated claims, a violation of the null energy condition (phantom dark energy) does not necessarily yield a negative entropy. In addition, we find that the thermal fluctuations of a k-essence field may be represented by a free boson gas with an effective number of degrees of freedo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0806.0642","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/0806.0642/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":"0806.0642","created_at":"2026-07-04T15:34:08.365260+00:00"},{"alias_kind":"arxiv_version","alias_value":"0806.0642v2","created_at":"2026-07-04T15:34:08.365260+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0806.0642","created_at":"2026-07-04T15:34:08.365260+00:00"},{"alias_kind":"pith_short_12","alias_value":"NMYS7UAYN3UC","created_at":"2026-07-04T15:34:08.365260+00:00"},{"alias_kind":"pith_short_16","alias_value":"NMYS7UAYN3UC6LN2","created_at":"2026-07-04T15:34:08.365260+00:00"},{"alias_kind":"pith_short_8","alias_value":"NMYS7UAY","created_at":"2026-07-04T15:34:08.365260+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1909.05710","citing_title":"The role of the chemical potential in coupling superfluid dark matter to baryons","ref_index":26,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/NMYS7UAYN3UC6LN2L3QQ33TZRY","json":"https://pith.science/pith/NMYS7UAYN3UC6LN2L3QQ33TZRY.json","graph_json":"https://pith.science/api/pith-number/NMYS7UAYN3UC6LN2L3QQ33TZRY/graph.json","events_json":"https://pith.science/api/pith-number/NMYS7UAYN3UC6LN2L3QQ33TZRY/events.json","paper":"https://pith.science/paper/NMYS7UAY"},"agent_actions":{"view_html":"https://pith.science/pith/NMYS7UAYN3UC6LN2L3QQ33TZRY","download_json":"https://pith.science/pith/NMYS7UAYN3UC6LN2L3QQ33TZRY.json","view_paper":"https://pith.science/paper/NMYS7UAY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0806.0642&json=true","fetch_graph":"https://pith.science/api/pith-number/NMYS7UAYN3UC6LN2L3QQ33TZRY/graph.json","fetch_events":"https://pith.science/api/pith-number/NMYS7UAYN3UC6LN2L3QQ33TZRY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/NMYS7UAYN3UC6LN2L3QQ33TZRY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/NMYS7UAYN3UC6LN2L3QQ33TZRY/action/storage_attestation","attest_author":"https://pith.science/pith/NMYS7UAYN3UC6LN2L3QQ33TZRY/action/author_attestation","sign_citation":"https://pith.science/pith/NMYS7UAYN3UC6LN2L3QQ33TZRY/action/citation_signature","submit_replication":"https://pith.science/pith/NMYS7UAYN3UC6LN2L3QQ33TZRY/action/replication_record"}},"created_at":"2026-07-04T15:34:08.365260+00:00","updated_at":"2026-07-04T15:34:08.365260+00:00"}