{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PSA4X4FDJP2L3HPALXE364SRKA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"d4f124ec5a680eff8513678d00307d6a399ad0a3db18a23ed11fc9e913368f4f","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-12-18T21:49:54Z","title_canon_sha256":"7074beab20b8916cee7ed9751a25b90dc029341fc56472624a40d3c4daa9ee1a"},"schema_version":"1.0","source":{"id":"1612.05999","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.05999","created_at":"2026-05-18T00:48:00Z"},{"alias_kind":"arxiv_version","alias_value":"1612.05999v2","created_at":"2026-05-18T00:48:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.05999","created_at":"2026-05-18T00:48:00Z"},{"alias_kind":"pith_short_12","alias_value":"PSA4X4FDJP2L","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PSA4X4FDJP2L3HPA","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PSA4X4FD","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:e4a0a677a1812dcc9df95c49b75acf3f8e0442b161009980b7304a038a83bc49","target":"graph","created_at":"2026-05-18T00:48:00Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We discuss the energy density,temperature and entropy of dark matter (DM) and dark energy (DE) as functions of the scale factor $a$ in an expanding universe. In a model of non-interacting dark components we repeat a derivation from thermodynamics of the well-known relations between the energy density,entropy and temperature. In particular, the entropy is constant as a consequence of the energy conservation. We consider a model of the DM/DE interaction where DM energy density increase is proportional to the particle density. In such a model the dependence of the energy density and the temperatu","authors_text":"Z. Haba","cross_cats":["hep-th","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-12-18T21:49:54Z","title":"Thermodynamics of diffusive DM/DE systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.05999","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7f0cf4b6277ea2c870e4643cdfdedd49b9d6be8134b08ac2cbab69f8ba4d9ae2","target":"record","created_at":"2026-05-18T00:48:00Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"d4f124ec5a680eff8513678d00307d6a399ad0a3db18a23ed11fc9e913368f4f","cross_cats_sorted":["hep-th","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2016-12-18T21:49:54Z","title_canon_sha256":"7074beab20b8916cee7ed9751a25b90dc029341fc56472624a40d3c4daa9ee1a"},"schema_version":"1.0","source":{"id":"1612.05999","kind":"arxiv","version":2}},"canonical_sha256":"7c81cbf0a34bf4bd9de05dc9bf72515009a2155a1ff119a2c7adf1c9d7332ece","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c81cbf0a34bf4bd9de05dc9bf72515009a2155a1ff119a2c7adf1c9d7332ece","first_computed_at":"2026-05-18T00:48:00.801833Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:00.801833Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ELszWaD/bqMHFYz0YuOHE+wjiQNNWpKfq2uptJBYXaQhHFA91Uo6N2uLh6VfPqAd5wuRezP2cO+sl3p4sGtCAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:00.802394Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.05999","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7f0cf4b6277ea2c870e4643cdfdedd49b9d6be8134b08ac2cbab69f8ba4d9ae2","sha256:e4a0a677a1812dcc9df95c49b75acf3f8e0442b161009980b7304a038a83bc49"],"state_sha256":"9f443b548fd14ebc5dc0906af42c2f7dc69f5cbbf777fee6790d58736fd89baa"}