{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:POCQNSJVZYLAYB2HX3TVWZXOHT","short_pith_number":"pith:POCQNSJV","schema_version":"1.0","canonical_sha256":"7b8506c935ce160c0747bee75b66ee3cfd5a95e66d761c4dd5607155ca40866c","source":{"kind":"arxiv","id":"2607.28445","version":1},"attestation_state":"computed","paper":{"title":"Inflation, Open Universes, and Dark Energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Andrei Linde, Anton Chudaykin, Mikhail M. Ivanov, Oliver H. E. Philcox, Renata Kallosh, Yusuke Yamada","submitted_at":"2026-07-30T16:16:22Z","abstract_excerpt":"We study the impact of spatial curvature ($\\Omega_k$) and dynamical dark energy (parametrized by $w_0$ and $w_a$) on the spectral index $n_s$ using a combination of cosmic microwave background datasets (Planck, SPT, and ACT), and spectroscopic galaxy samples from DESI, including both BAO and full-shape clustering measurements. We show that a small negative curvature, $\\Omega_k\\simeq 3\\times 10^{-3}$, lowers the value of $n_s$, bringing it closer to predictions of the Starobinsky, Higgs, and simplest $\\alpha$-attractor inflationary models. In particular, we find $n_s= 0.9667\\pm0.0041$ (using Pl"},"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":"2607.28445","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-07-30T16:16:22Z","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"title_canon_sha256":"09bbaf28bd2c1a324f5022af37f5c9560bd31fc417afdc824de5df7f51560e3a","abstract_canon_sha256":"589bde36212c3c2b7191553d2324b5a82f06cce14869662a5a57be6682eb64b7"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7b8506c935ce160c0747bee75b66ee3cfd5a95e66d761c4dd5607155ca40866c","last_reissued_at":"2026-07-31T01:37:39.400343Z","signature_status":"unsigned_v0","first_computed_at":"2026-07-31T01:37:39.400343Z"},"graph_snapshot":{"paper":{"title":"Inflation, Open Universes, and Dark Energy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Andrei Linde, Anton Chudaykin, Mikhail M. Ivanov, Oliver H. E. Philcox, Renata Kallosh, Yusuke Yamada","submitted_at":"2026-07-30T16:16:22Z","abstract_excerpt":"We study the impact of spatial curvature ($\\Omega_k$) and dynamical dark energy (parametrized by $w_0$ and $w_a$) on the spectral index $n_s$ using a combination of cosmic microwave background datasets (Planck, SPT, and ACT), and spectroscopic galaxy samples from DESI, including both BAO and full-shape clustering measurements. We show that a small negative curvature, $\\Omega_k\\simeq 3\\times 10^{-3}$, lowers the value of $n_s$, bringing it closer to predictions of the Starobinsky, Higgs, and simplest $\\alpha$-attractor inflationary models. In particular, we find $n_s= 0.9667\\pm0.0041$ (using Pl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.28445","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/2607.28445/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":"2607.28445","created_at":"2026-07-31T01:37:39.403470+00:00"},{"alias_kind":"arxiv_version","alias_value":"2607.28445v1","created_at":"2026-07-31T01:37:39.403470+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.28445","created_at":"2026-07-31T01:37:39.403470+00:00"},{"alias_kind":"pith_short_12","alias_value":"POCQNSJVZYLA","created_at":"2026-07-31T01:37:39.403470+00:00"},{"alias_kind":"pith_short_16","alias_value":"POCQNSJVZYLAYB2H","created_at":"2026-07-31T01:37:39.403470+00:00"},{"alias_kind":"pith_short_8","alias_value":"POCQNSJV","created_at":"2026-07-31T01:37:39.403470+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/POCQNSJVZYLAYB2HX3TVWZXOHT","json":"https://pith.science/pith/POCQNSJVZYLAYB2HX3TVWZXOHT.json","graph_json":"https://pith.science/api/pith-number/POCQNSJVZYLAYB2HX3TVWZXOHT/graph.json","events_json":"https://pith.science/api/pith-number/POCQNSJVZYLAYB2HX3TVWZXOHT/events.json","paper":"https://pith.science/paper/POCQNSJV"},"agent_actions":{"view_html":"https://pith.science/pith/POCQNSJVZYLAYB2HX3TVWZXOHT","download_json":"https://pith.science/pith/POCQNSJVZYLAYB2HX3TVWZXOHT.json","view_paper":"https://pith.science/paper/POCQNSJV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2607.28445&json=true","fetch_graph":"https://pith.science/api/pith-number/POCQNSJVZYLAYB2HX3TVWZXOHT/graph.json","fetch_events":"https://pith.science/api/pith-number/POCQNSJVZYLAYB2HX3TVWZXOHT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/POCQNSJVZYLAYB2HX3TVWZXOHT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/POCQNSJVZYLAYB2HX3TVWZXOHT/action/storage_attestation","attest_author":"https://pith.science/pith/POCQNSJVZYLAYB2HX3TVWZXOHT/action/author_attestation","sign_citation":"https://pith.science/pith/POCQNSJVZYLAYB2HX3TVWZXOHT/action/citation_signature","submit_replication":"https://pith.science/pith/POCQNSJVZYLAYB2HX3TVWZXOHT/action/replication_record"}},"created_at":"2026-07-31T01:37:39.403470+00:00","updated_at":"2026-07-31T01:37:39.403470+00:00"}