{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:QJJZZ2SBGJU7DWDCH4XEG2AWF4","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":"f64242247594282cf62260e94ba722c2c51ef5baf28d85141a2cc963a278aeb5","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-07-04T21:00:02Z","title_canon_sha256":"c75aa9c70b8daca4fd925aa5a0912412dce6f7cd8c1a72419850552f4412fb98"},"schema_version":"1.0","source":{"id":"2507.03808","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.03808","created_at":"2026-07-05T11:33:06Z"},{"alias_kind":"arxiv_version","alias_value":"2507.03808v1","created_at":"2026-07-05T11:33:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.03808","created_at":"2026-07-05T11:33:06Z"},{"alias_kind":"pith_short_12","alias_value":"QJJZZ2SBGJU7","created_at":"2026-07-05T11:33:06Z"},{"alias_kind":"pith_short_16","alias_value":"QJJZZ2SBGJU7DWDC","created_at":"2026-07-05T11:33:06Z"},{"alias_kind":"pith_short_8","alias_value":"QJJZZ2SB","created_at":"2026-07-05T11:33:06Z"}],"graph_snapshots":[{"event_id":"sha256:849f4fe77be4e261301cfb03c5842233aee86b66224aaddd659a93494492f01e","target":"graph","created_at":"2026-07-05T11:33:06Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2507.03808/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate a generalized power-law dark energy equation of state of the form $p = w\\rho - \\beta\\rho^m$ in a flat FLRW universe, analyzing its dynamical stability and thermodynamic consistency. The model exhibits a rich phase space structure, with an effective cosmological constant $\\rho^* = [(1+w)/\\beta]^{1/(m-1)}$ emerging as a stable attractor for $(w < -1,~ m > 1)$. Notably, the universe evolves from an early de Sitter phase ($w \\to -1$) to a late-time de Sitter-like one with phantom crossing ($w(z) < -1$), aligning with DESI observations. Dynamical analysis reveals that the $m > 1$ reg","authors_text":"A. R. Amani, E. Yusofi, M. A. Ramzanpour, S. Kazemi","cross_cats":["astro-ph.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-07-04T21:00:02Z","title":"Stability and Thermodynamics of a Generalized Power-Law Dark Energy Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.03808","kind":"arxiv","version":1},"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":"sha256:8f2fd1abb70b214005e308b6245ef1832c764fd12d756be3b41930e398be8096","target":"record","created_at":"2026-07-05T11:33:06Z","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":"f64242247594282cf62260e94ba722c2c51ef5baf28d85141a2cc963a278aeb5","cross_cats_sorted":["astro-ph.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2025-07-04T21:00:02Z","title_canon_sha256":"c75aa9c70b8daca4fd925aa5a0912412dce6f7cd8c1a72419850552f4412fb98"},"schema_version":"1.0","source":{"id":"2507.03808","kind":"arxiv","version":1}},"canonical_sha256":"82539cea413269f1d8623f2e4368162f124d121ede0e61d027bd343a34724d2e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82539cea413269f1d8623f2e4368162f124d121ede0e61d027bd343a34724d2e","first_computed_at":"2026-07-05T11:33:06.165432Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:33:06.165432Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tDn0kJZcX2pcpWCdaNBsusiwRpIqAhr2c7UPyHzh3y2TbvfzkA5nyd0dggYzl08Lw0Q0GU6Yu5EqKkexThf+BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:33:06.165920Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.03808","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f2fd1abb70b214005e308b6245ef1832c764fd12d756be3b41930e398be8096","sha256:849f4fe77be4e261301cfb03c5842233aee86b66224aaddd659a93494492f01e"],"state_sha256":"e7f1ac0decdce107c6e8370bab96e274371e6de6ebae1845881228d1dca313ea"}