{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:47DY46NHP2N3I4SPKTAGIOS6TC","short_pith_number":"pith:47DY46NH","schema_version":"1.0","canonical_sha256":"e7c78e79a77e9bb4724f54c0643a5e988b57ca5acf3f5a0916528d3fa63c3811","source":{"kind":"arxiv","id":"2504.03470","version":1},"attestation_state":"computed","paper":{"title":"Generalized entropic dark energy with spatial curvature","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.HE","hep-th"],"primary_cat":"gr-qc","authors_text":"Sergei D. Odintsov, Simone D'Onofrio, Tanmoy Paul","submitted_at":"2025-04-04T14:22:32Z","abstract_excerpt":"In the realm of thermodynamics of apparent horizon, we construct a dark energy (DE) model from 4-parameter generalized entropy of apparent horizon in a spatially non-flat universe. In particular, considering a non-zero spatial curvature of the universe, we determine the dark energy fractional density and the dark energy equation of state (EoS) parameter (corresponding to the 4-parameter generalized entropy) in closed analytic forms. It turns out that the scenario can describe the correct thermal history of the universe, with the sequence of matter and dark energy epochs. Comparing with the $\\L"},"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":"2504.03470","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2025-04-04T14:22:32Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"0e45a40376043e2b97a20dbd926395b0660ac3b3b1e2932fa5523df3c12db859","abstract_canon_sha256":"7ea29743c1c463f47b12f697d8025db38a0d2fd3c0f5959ddc094d6fd2ab7cb4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:44:32.623394Z","signature_b64":"6GIMXxNuTbRG7TdxchJCtwLznGh+yeIoZ4Qwz+5x6jvuvZpi3vthNvOahbI15fNRolJQK6VwcYkBWB3F+yBqCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e7c78e79a77e9bb4724f54c0643a5e988b57ca5acf3f5a0916528d3fa63c3811","last_reissued_at":"2026-07-05T10:44:32.622902Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:44:32.622902Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Generalized entropic dark energy with spatial curvature","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.HE","hep-th"],"primary_cat":"gr-qc","authors_text":"Sergei D. Odintsov, Simone D'Onofrio, Tanmoy Paul","submitted_at":"2025-04-04T14:22:32Z","abstract_excerpt":"In the realm of thermodynamics of apparent horizon, we construct a dark energy (DE) model from 4-parameter generalized entropy of apparent horizon in a spatially non-flat universe. In particular, considering a non-zero spatial curvature of the universe, we determine the dark energy fractional density and the dark energy equation of state (EoS) parameter (corresponding to the 4-parameter generalized entropy) in closed analytic forms. It turns out that the scenario can describe the correct thermal history of the universe, with the sequence of matter and dark energy epochs. Comparing with the $\\L"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2504.03470","kind":"arxiv","version":1},"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/2504.03470/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":"2504.03470","created_at":"2026-07-05T10:44:32.622963+00:00"},{"alias_kind":"arxiv_version","alias_value":"2504.03470v1","created_at":"2026-07-05T10:44:32.622963+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2504.03470","created_at":"2026-07-05T10:44:32.622963+00:00"},{"alias_kind":"pith_short_12","alias_value":"47DY46NHP2N3","created_at":"2026-07-05T10:44:32.622963+00:00"},{"alias_kind":"pith_short_16","alias_value":"47DY46NHP2N3I4SP","created_at":"2026-07-05T10:44:32.622963+00:00"},{"alias_kind":"pith_short_8","alias_value":"47DY46NH","created_at":"2026-07-05T10:44:32.622963+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2507.15273","citing_title":"Dark energy era with a resolution of Hubble tension in generalized entropic cosmology","ref_index":36,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/47DY46NHP2N3I4SPKTAGIOS6TC","json":"https://pith.science/pith/47DY46NHP2N3I4SPKTAGIOS6TC.json","graph_json":"https://pith.science/api/pith-number/47DY46NHP2N3I4SPKTAGIOS6TC/graph.json","events_json":"https://pith.science/api/pith-number/47DY46NHP2N3I4SPKTAGIOS6TC/events.json","paper":"https://pith.science/paper/47DY46NH"},"agent_actions":{"view_html":"https://pith.science/pith/47DY46NHP2N3I4SPKTAGIOS6TC","download_json":"https://pith.science/pith/47DY46NHP2N3I4SPKTAGIOS6TC.json","view_paper":"https://pith.science/paper/47DY46NH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2504.03470&json=true","fetch_graph":"https://pith.science/api/pith-number/47DY46NHP2N3I4SPKTAGIOS6TC/graph.json","fetch_events":"https://pith.science/api/pith-number/47DY46NHP2N3I4SPKTAGIOS6TC/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/47DY46NHP2N3I4SPKTAGIOS6TC/action/timestamp_anchor","attest_storage":"https://pith.science/pith/47DY46NHP2N3I4SPKTAGIOS6TC/action/storage_attestation","attest_author":"https://pith.science/pith/47DY46NHP2N3I4SPKTAGIOS6TC/action/author_attestation","sign_citation":"https://pith.science/pith/47DY46NHP2N3I4SPKTAGIOS6TC/action/citation_signature","submit_replication":"https://pith.science/pith/47DY46NHP2N3I4SPKTAGIOS6TC/action/replication_record"}},"created_at":"2026-07-05T10:44:32.622963+00:00","updated_at":"2026-07-05T10:44:32.622963+00:00"}