{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:2CICWAK63ELGHXPFDBLQG7YOX4","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":"79326c39b62796e39cd16e9d90f9fa547b20ff12f1c5ee9829aaef7b3fc6baed","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-05-18T18:00:13Z","title_canon_sha256":"66d10efdf8a632a46b49251f4e9d63cb8e207607851f34b20b526d865f400c1c"},"schema_version":"1.0","source":{"id":"2605.18965","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.18965","created_at":"2026-05-20T00:06:39Z"},{"alias_kind":"arxiv_version","alias_value":"2605.18965v1","created_at":"2026-05-20T00:06:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.18965","created_at":"2026-05-20T00:06:39Z"},{"alias_kind":"pith_short_12","alias_value":"2CICWAK63ELG","created_at":"2026-05-20T00:06:39Z"},{"alias_kind":"pith_short_16","alias_value":"2CICWAK63ELGHXPF","created_at":"2026-05-20T00:06:39Z"},{"alias_kind":"pith_short_8","alias_value":"2CICWAK6","created_at":"2026-05-20T00:06:39Z"}],"graph_snapshots":[{"event_id":"sha256:d345035dd7aa7b8c1de8fe016acaa4fdc9f35946037663e142b21e2e28416c6d","target":"graph","created_at":"2026-05-20T00:06:39Z","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/2605.18965/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the relation between geodesic completeness, the averaged null energy condition (ANEC), and spatial curvature in Friedmann--Robertson--Walker (FRW) cosmology within classical general relativity. Using the affinely parameterized ANEC along radial null geodesics, we prove that non-static flat or open FRW spacetimes in the regular classes considered here cannot be both null geodesically complete and ANEC-satisfying. Bounded oscillatory or cyclic flat/open models do not circumvent the obstruction: the negative affine-ANEC bulk term accumulates over infinitely many cycles, giving \\(I_{\\rm A","authors_text":"Damien A. Easson, Nathan L. Burwig","cross_cats":["astro-ph.CO","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-05-18T18:00:13Z","title":"Affine ANEC selects the closed FRW branch for geodesically complete cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.18965","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":"sha256:5e8986267e6be93654baae6a26df3a8a2b54144b80ac3fb7c5255e601cc417d6","target":"record","created_at":"2026-05-20T00:06:39Z","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":"79326c39b62796e39cd16e9d90f9fa547b20ff12f1c5ee9829aaef7b3fc6baed","cross_cats_sorted":["astro-ph.CO","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"gr-qc","submitted_at":"2026-05-18T18:00:13Z","title_canon_sha256":"66d10efdf8a632a46b49251f4e9d63cb8e207607851f34b20b526d865f400c1c"},"schema_version":"1.0","source":{"id":"2605.18965","kind":"arxiv","version":1}},"canonical_sha256":"d0902b015ed91663dde51857037f0ebf1f23ff75c299c66148749a1a0c7b40fb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0902b015ed91663dde51857037f0ebf1f23ff75c299c66148749a1a0c7b40fb","first_computed_at":"2026-05-20T00:06:39.487384Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:06:39.487384Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3hYLmuC9LiR1VdEplKUtzzpr9uCisIzrqmeR0OhBdDKC6wqV31a4j+/eMPtyU3kZNe70SrB+SVC9fRbHso3GDg==","signature_status":"signed_v1","signed_at":"2026-05-20T00:06:39.488070Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.18965","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5e8986267e6be93654baae6a26df3a8a2b54144b80ac3fb7c5255e601cc417d6","sha256:d345035dd7aa7b8c1de8fe016acaa4fdc9f35946037663e142b21e2e28416c6d"],"state_sha256":"79ef236f906760022c18aefd02c9b179610ae8f5a7bbf741b9f6e3a8ee8e7222"}