{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:U7JSYKQYNT32NAX272DRF5QF77","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":"4ee823b74f184ee92b9e7a0bcd40245ac2055ed87a5d715609e3baefbbb6447e","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-11-12T05:00:31Z","title_canon_sha256":"5e192bd0ff5b1d74b906e4b0d10cd8e06c110750fc610295fe06241a1ba825a9"},"schema_version":"1.0","source":{"id":"2411.07552","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2411.07552","created_at":"2026-07-05T09:34:25Z"},{"alias_kind":"arxiv_version","alias_value":"2411.07552v1","created_at":"2026-07-05T09:34:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2411.07552","created_at":"2026-07-05T09:34:25Z"},{"alias_kind":"pith_short_12","alias_value":"U7JSYKQYNT32","created_at":"2026-07-05T09:34:25Z"},{"alias_kind":"pith_short_16","alias_value":"U7JSYKQYNT32NAX2","created_at":"2026-07-05T09:34:25Z"},{"alias_kind":"pith_short_8","alias_value":"U7JSYKQY","created_at":"2026-07-05T09:34:25Z"}],"graph_snapshots":[{"event_id":"sha256:e49d2e0ea9f73eef9a7d84bfc810201bd62bb6bae72404b0bdc37b67120eb02a","target":"graph","created_at":"2026-07-05T09:34:25Z","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/2411.07552/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate the global structure of the recently discovered family of $SL(2,\\mathbb{Z})$-invariant potentials describing inflationary $\\alpha$-attractors. These potentials have an inflationary plateau consisting of the fundamental domain and its images fully covering the upper part of the Poincar\\'e half-plane. Meanwhile, the lower part of the half-plane is covered by an infinitely large number of ridges, which, at first glance, are too sharp to support inflation. However, we show that this apparent sharpness is just an illusion created by hyperbolic geometry, and each of these ridges is ph","authors_text":"Andrei Linde, Renata Kallosh","cross_cats":["astro-ph.CO","gr-qc","hep-ph","math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-11-12T05:00:31Z","title":"Landscape of Modular Cosmology"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2411.07552","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":"sha256:2e6aac874ddc822a3275f4c247703fdd5f3a89e3cfb190a0744e2346d8cbb977","target":"record","created_at":"2026-07-05T09:34:25Z","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":"4ee823b74f184ee92b9e7a0bcd40245ac2055ed87a5d715609e3baefbbb6447e","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph","math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-11-12T05:00:31Z","title_canon_sha256":"5e192bd0ff5b1d74b906e4b0d10cd8e06c110750fc610295fe06241a1ba825a9"},"schema_version":"1.0","source":{"id":"2411.07552","kind":"arxiv","version":1}},"canonical_sha256":"a7d32c2a186cf7a682fafe8712f605ffeb591272a84185df39aa056420f2ace0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7d32c2a186cf7a682fafe8712f605ffeb591272a84185df39aa056420f2ace0","first_computed_at":"2026-07-05T09:34:25.342097Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:34:25.342097Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BAnJ8dSC16ByjLmBys2qo3o3qpH9Ue1eD0/b4pA5NiOTrIYz5EzSAtFvzh+kCJwfqO394sJZoKLmnfaz3DRmAg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:34:25.342586Z","signed_message":"canonical_sha256_bytes"},"source_id":"2411.07552","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e6aac874ddc822a3275f4c247703fdd5f3a89e3cfb190a0744e2346d8cbb977","sha256:e49d2e0ea9f73eef9a7d84bfc810201bd62bb6bae72404b0bdc37b67120eb02a"],"state_sha256":"4f7684f25379f0189a619b77dba3d8c115c668dffd2b5be7bf85461c57cd6047"}