{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:3P3HNIHTCHN3ZHF2R6COWRLXLW","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":"b65b67ed89691312241406387efd1894d689e1baf1c35db32fea2403b5548cc9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-04-17T19:24:11Z","title_canon_sha256":"1ad22317cc7a5902cdfa138dd8bc2c3a38f53f8e989df2a4ddd2ac65b1061119"},"schema_version":"1.0","source":{"id":"1404.4614","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1404.4614","created_at":"2026-05-18T01:43:28Z"},{"alias_kind":"arxiv_version","alias_value":"1404.4614v2","created_at":"2026-05-18T01:43:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1404.4614","created_at":"2026-05-18T01:43:28Z"},{"alias_kind":"pith_short_12","alias_value":"3P3HNIHTCHN3","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_16","alias_value":"3P3HNIHTCHN3ZHF2","created_at":"2026-05-18T12:28:11Z"},{"alias_kind":"pith_short_8","alias_value":"3P3HNIHT","created_at":"2026-05-18T12:28:11Z"}],"graph_snapshots":[{"event_id":"sha256:a8152cb8193b5f7d9712caf99593eb0113ab471961a511870c93aff218810485","target":"graph","created_at":"2026-05-18T01:43:28Z","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"},"paper":{"abstract_excerpt":"Current data from the Planck satellite and the BICEP2 telescope favor, at around the $2 \\sigma$ level, negative running of the spectral index of curvature perturbations from inflation. We show that for negative running $\\alpha < 0$, the curvature perturbation amplitude has a maximum on scales larger than our current horizon size. A condition for the absence of eternal inflation is that the curvature perturbation amplitude always remain below unity on superhorizon scales. For current bounds on $n_{\\rm S}$ from Planck, this corresponds to an upper bound of the running $\\alpha < - 4 \\times 10^{-5","authors_text":"Katherine Freese (Univ. of Michigan), SUNY), William H. Kinney (Univ. at Buffalo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-04-17T19:24:11Z","title":"Negative running prevents eternal inflation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1404.4614","kind":"arxiv","version":2},"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:aaadcb2ca8edd9269a2c892a34424a0032b8a5e8a6edc583e058a4cf3ddaefba","target":"record","created_at":"2026-05-18T01:43:28Z","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":"b65b67ed89691312241406387efd1894d689e1baf1c35db32fea2403b5548cc9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-04-17T19:24:11Z","title_canon_sha256":"1ad22317cc7a5902cdfa138dd8bc2c3a38f53f8e989df2a4ddd2ac65b1061119"},"schema_version":"1.0","source":{"id":"1404.4614","kind":"arxiv","version":2}},"canonical_sha256":"dbf676a0f311dbbc9cba8f84eb45775d968d08b8e91827bd739c033eb03ebe90","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dbf676a0f311dbbc9cba8f84eb45775d968d08b8e91827bd739c033eb03ebe90","first_computed_at":"2026-05-18T01:43:28.804572Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:28.804572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WOroyAeyVYVDPu9VvXuxGdvdqGvOKSN5WZP8rIPBQrXG+THrw3Hr2+Uo8E3oAaduvwon597w5z515kmM0YeODQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:28.805332Z","signed_message":"canonical_sha256_bytes"},"source_id":"1404.4614","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aaadcb2ca8edd9269a2c892a34424a0032b8a5e8a6edc583e058a4cf3ddaefba","sha256:a8152cb8193b5f7d9712caf99593eb0113ab471961a511870c93aff218810485"],"state_sha256":"35e3c3e50dbaba00304cc2065ea1a6d1226dbb9d5de70300ad76c5d4d9858b0d"}