{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:VLFRRJZFR2RK672AEGAV3N6BKF","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":"68d2cb6f889048683f6d012f62f9f21ac2039b189900c3b6514c0e43eac4c2fa","cross_cats_sorted":["astro-ph","hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"2007-07-25T20:55:02Z","title_canon_sha256":"03b232fafe3e84128aff4c56cc19a61b25e4094ad1f8fe3fb0011de5560b4146"},"schema_version":"1.0","source":{"id":"0707.3826","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0707.3826","created_at":"2026-07-04T15:24:30Z"},{"alias_kind":"arxiv_version","alias_value":"0707.3826v2","created_at":"2026-07-04T15:24:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0707.3826","created_at":"2026-07-04T15:24:30Z"},{"alias_kind":"pith_short_12","alias_value":"VLFRRJZFR2RK","created_at":"2026-07-04T15:24:30Z"},{"alias_kind":"pith_short_16","alias_value":"VLFRRJZFR2RK672A","created_at":"2026-07-04T15:24:30Z"},{"alias_kind":"pith_short_8","alias_value":"VLFRRJZF","created_at":"2026-07-04T15:24:30Z"}],"graph_snapshots":[{"event_id":"sha256:dd0cb173555be56232bc61fa505f731fcba5cb5d304dc6d6645bca4b38c8b11a","target":"graph","created_at":"2026-07-04T15:24:30Z","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/0707.3826/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Using analytic expressions, we explore the parameter space for hilltop inflation models with a potential of the form $V_0\\pm m^2\\phi^2 -a\\phi^p$. With the positive sign and p>2 this converts the original hybrid inflation model into a hilltop model, allowing the spectral index to agree with the observed value n=0.95. In some cases the observed value is theoretically favored, while in others there is only the generic prediction $|n-1|\\lsim 1$.","authors_text":"Chia-Min Lin, David H. Lyth, Kazunori Kohri","cross_cats":["astro-ph","hep-th"],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2007-07-25T20:55:02Z","title":"More hilltop inflation models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0707.3826","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":"sha256:99968f92626175cc87925a037f549921d66717b356610f73208ba02083d5cd18","target":"record","created_at":"2026-07-04T15:24:30Z","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":"68d2cb6f889048683f6d012f62f9f21ac2039b189900c3b6514c0e43eac4c2fa","cross_cats_sorted":["astro-ph","hep-th"],"license":"","primary_cat":"hep-ph","submitted_at":"2007-07-25T20:55:02Z","title_canon_sha256":"03b232fafe3e84128aff4c56cc19a61b25e4094ad1f8fe3fb0011de5560b4146"},"schema_version":"1.0","source":{"id":"0707.3826","kind":"arxiv","version":2}},"canonical_sha256":"aacb18a7258ea2af7f4021815db7c151675b1e3d43f8cd3613acd6ba4634eab3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aacb18a7258ea2af7f4021815db7c151675b1e3d43f8cd3613acd6ba4634eab3","first_computed_at":"2026-07-04T15:24:30.382928Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:24:30.382928Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"54ysCyUjE/J1jHdQIkAJqnIyyumHaJAjJkZ9//YKMyKAPZn+tqTvgk2W3u1CFQZn2DhCqybBldLhROHq9qpeDg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:24:30.383342Z","signed_message":"canonical_sha256_bytes"},"source_id":"0707.3826","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:99968f92626175cc87925a037f549921d66717b356610f73208ba02083d5cd18","sha256:dd0cb173555be56232bc61fa505f731fcba5cb5d304dc6d6645bca4b38c8b11a"],"state_sha256":"778e98097ad7073bbe33a133ad1085b81b73efdd24bdf7f9f98b62d04d9b18e8"}