{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:CWKTAR2LQ3EUYGLBSM3HSB3WEP","short_pith_number":"pith:CWKTAR2L","schema_version":"1.0","canonical_sha256":"159530474b86c94c1961933679077623c4f8d09eeb88f98e92ba304afbb4aa54","source":{"kind":"arxiv","id":"2604.27103","version":2},"attestation_state":"computed","paper":{"title":"Geodesically Complete Curvature-Bounce Inflation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Positive spatial curvature permits a nonsingular bounce followed by standard inflation using one scalar field in general relativity.","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Damien A. Easson","submitted_at":"2026-04-29T18:47:37Z","abstract_excerpt":"The early universe need not be described by an incomplete inflationary phase connected to a separate, more exotic prehistory. Recent results show that, within non-static FRW cosmology, only positive spatial curvature permits a nonsingular, geodesically complete universe with ANEC-respecting matter. We construct a geodesically complete closed $k=+1$ bounce-plus-inflation cosmology in ordinary general relativity, sourced by a single canonical scalar field with a positive vacuum offset. The bounce is supported by curvature rather than exotic stress energy: the matter content satisfies the NEC thr"},"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":"2604.27103","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2026-04-29T18:47:37Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"e2c017b6547c3c2ce7be9d4dd80395a20c6a7f97726bc6c564e35201b2b4207e","abstract_canon_sha256":"400ece1a4d9dfa546ba34053a8cd1998e3218cd65c2376fedfaa87142e1334df"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-08T00:03:39.311229Z","signature_b64":"Qis7XNxBJZeipIH9lb5/KSPLHbXfDbmM1OhCcrHTpeTpEyttzJLNBFXlwpigCUVgMLtJxeFauH21H7rBRks+AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"159530474b86c94c1961933679077623c4f8d09eeb88f98e92ba304afbb4aa54","last_reissued_at":"2026-06-08T00:03:39.310259Z","signature_status":"signed_v1","first_computed_at":"2026-06-08T00:03:39.310259Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geodesically Complete Curvature-Bounce Inflation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Positive spatial curvature permits a nonsingular bounce followed by standard inflation using one scalar field in general relativity.","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Damien A. Easson","submitted_at":"2026-04-29T18:47:37Z","abstract_excerpt":"The early universe need not be described by an incomplete inflationary phase connected to a separate, more exotic prehistory. Recent results show that, within non-static FRW cosmology, only positive spatial curvature permits a nonsingular, geodesically complete universe with ANEC-respecting matter. We construct a geodesically complete closed $k=+1$ bounce-plus-inflation cosmology in ordinary general relativity, sourced by a single canonical scalar field with a positive vacuum offset. The bounce is supported by curvature rather than exotic stress energy: the matter content satisfies the NEC thr"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"We construct a geodesically complete closed k=+1 bounce-plus-inflation cosmology in ordinary general relativity, sourced by a single canonical scalar field with a positive vacuum offset. The solved branch remains sub-Planckian and evolves onto a curvature-diluted slow-roll phase with inflationary observables consistent with current constraints.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"That only positive spatial curvature permits a nonsingular, geodesically complete universe with ANEC-respecting matter in non-static FRW cosmology, and that a suitable scalar potential with positive vacuum offset can be chosen to realize the bounce while keeping the entire evolution sub-Planckian and NEC-compliant.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A closed k=+1 FRW universe with curvature-driven bounce and canonical scalar inflation remains sub-Planckian, satisfies the null energy condition, and produces ns=0.9617-0.9650 and r=0.0037-0.0045 consistent with data.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Positive spatial curvature permits a nonsingular bounce followed by standard inflation using one scalar field in general relativity.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"2e3cd32c4d42a3d8611b350f5cf00f757de6ba6a96a8ce80c4bda731ad8a5dbf"},"source":{"id":"2604.27103","kind":"arxiv","version":2},"verdict":{"id":"dc6e4774-151d-4b91-b745-5c65cc34cb01","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-07T08:44:19.573912Z","strongest_claim":"We construct a geodesically complete closed k=+1 bounce-plus-inflation cosmology in ordinary general relativity, sourced by a single canonical scalar field with a positive vacuum offset. The solved branch remains sub-Planckian and evolves onto a curvature-diluted slow-roll phase with inflationary observables consistent with current constraints.","one_line_summary":"A closed k=+1 FRW universe with curvature-driven bounce and canonical scalar inflation remains sub-Planckian, satisfies the null energy condition, and produces ns=0.9617-0.9650 and r=0.0037-0.0045 consistent with data.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"That only positive spatial curvature permits a nonsingular, geodesically complete universe with ANEC-respecting matter in non-static FRW cosmology, and that a suitable scalar potential with positive vacuum offset can be chosen to realize the bounce while keeping the entire evolution sub-Planckian and NEC-compliant.","pith_extraction_headline":"Positive spatial curvature permits a nonsingular bounce followed by standard inflation using one scalar field in general relativity."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2604.27103/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"ai_meta_artifact","ran_at":"2026-05-20T22:44:18.571736Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T19:34:25.698892Z","status":"completed","version":"1.0.0","findings_count":0}],"snapshot_sha256":"74a3d99edd8b6088c1d194c19017235e757bff4dd2c9acf9452edbd4bd1da55c"},"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":"2604.27103","created_at":"2026-06-08T00:03:39.310387+00:00"},{"alias_kind":"arxiv_version","alias_value":"2604.27103v2","created_at":"2026-06-08T00:03:39.310387+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2604.27103","created_at":"2026-06-08T00:03:39.310387+00:00"},{"alias_kind":"pith_short_12","alias_value":"CWKTAR2LQ3EU","created_at":"2026-06-08T00:03:39.310387+00:00"},{"alias_kind":"pith_short_16","alias_value":"CWKTAR2LQ3EUYGLB","created_at":"2026-06-08T00:03:39.310387+00:00"},{"alias_kind":"pith_short_8","alias_value":"CWKTAR2L","created_at":"2026-06-08T00:03:39.310387+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.18965","citing_title":"Affine ANEC selects the closed FRW branch for geodesically complete cosmology","ref_index":39,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CWKTAR2LQ3EUYGLBSM3HSB3WEP","json":"https://pith.science/pith/CWKTAR2LQ3EUYGLBSM3HSB3WEP.json","graph_json":"https://pith.science/api/pith-number/CWKTAR2LQ3EUYGLBSM3HSB3WEP/graph.json","events_json":"https://pith.science/api/pith-number/CWKTAR2LQ3EUYGLBSM3HSB3WEP/events.json","paper":"https://pith.science/paper/CWKTAR2L"},"agent_actions":{"view_html":"https://pith.science/pith/CWKTAR2LQ3EUYGLBSM3HSB3WEP","download_json":"https://pith.science/pith/CWKTAR2LQ3EUYGLBSM3HSB3WEP.json","view_paper":"https://pith.science/paper/CWKTAR2L","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2604.27103&json=true","fetch_graph":"https://pith.science/api/pith-number/CWKTAR2LQ3EUYGLBSM3HSB3WEP/graph.json","fetch_events":"https://pith.science/api/pith-number/CWKTAR2LQ3EUYGLBSM3HSB3WEP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CWKTAR2LQ3EUYGLBSM3HSB3WEP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CWKTAR2LQ3EUYGLBSM3HSB3WEP/action/storage_attestation","attest_author":"https://pith.science/pith/CWKTAR2LQ3EUYGLBSM3HSB3WEP/action/author_attestation","sign_citation":"https://pith.science/pith/CWKTAR2LQ3EUYGLBSM3HSB3WEP/action/citation_signature","submit_replication":"https://pith.science/pith/CWKTAR2LQ3EUYGLBSM3HSB3WEP/action/replication_record"}},"created_at":"2026-06-08T00:03:39.310387+00:00","updated_at":"2026-06-08T00:03:39.310387+00:00"}