{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:52OVWWL6CIS34ARW7732DURSO2","short_pith_number":"pith:52OVWWL6","canonical_record":{"source":{"id":"1504.05557","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-21T19:15:48Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"title_canon_sha256":"5e769a9d1d84a9f3e2d6a24830b4d4676a1fb02f26bb88392d3b0a3988653c0d","abstract_canon_sha256":"e100e59b524aa9c6ff0e3a6b3372035a3842b15e1a37b139e29a8a810ec9e484"},"schema_version":"1.0"},"canonical_sha256":"ee9d5b597e1225be0236fff7a1d23276996064d2f97d108b37795d6cb7284a46","source":{"kind":"arxiv","id":"1504.05557","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05557","created_at":"2026-05-18T01:34:23Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05557v1","created_at":"2026-05-18T01:34:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05557","created_at":"2026-05-18T01:34:23Z"},{"alias_kind":"pith_short_12","alias_value":"52OVWWL6CIS3","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"52OVWWL6CIS34ARW","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"52OVWWL6","created_at":"2026-05-18T12:29:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:52OVWWL6CIS34ARW7732DURSO2","target":"record","payload":{"canonical_record":{"source":{"id":"1504.05557","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-21T19:15:48Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"title_canon_sha256":"5e769a9d1d84a9f3e2d6a24830b4d4676a1fb02f26bb88392d3b0a3988653c0d","abstract_canon_sha256":"e100e59b524aa9c6ff0e3a6b3372035a3842b15e1a37b139e29a8a810ec9e484"},"schema_version":"1.0"},"canonical_sha256":"ee9d5b597e1225be0236fff7a1d23276996064d2f97d108b37795d6cb7284a46","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:23.455339Z","signature_b64":"WG8XSCBMjBKLiOCweZCIZZTxhv7TUXfgotB5fAEgImekU4ksO0EOMEdLTcR7zuGA/AUQ8n198be0ckwovcFUCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ee9d5b597e1225be0236fff7a1d23276996064d2f97d108b37795d6cb7284a46","last_reissued_at":"2026-05-18T01:34:23.454774Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:23.454774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1504.05557","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:34:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g4p/jf8daIpAllw9K6aL+LNd1Mkvn7Qap+AQDSfWOBGTMaqSxRNNgSfZl/KBk4KhN6+Nl4JotrYQMeffFfq6BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:25:42.287885Z"},"content_sha256":"0c46902683fa4794e38e9393ea9f523594a2fff8b36f18940c80e841466b83ae","schema_version":"1.0","event_id":"sha256:0c46902683fa4794e38e9393ea9f523594a2fff8b36f18940c80e841466b83ae"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:52OVWWL6CIS34ARW7732DURSO2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Hyperbolic Geometry of Cosmological Attractors","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.CO","gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Andrei Linde, Diederik Roest, John Joseph M. Carrasco, Renata Kallosh","submitted_at":"2015-04-21T19:15:48Z","abstract_excerpt":"Cosmological alpha-attractors give a natural explanation for the spectral index n_s of inflation as measured by Planck while predicting a range for the tensor-to-scalar ratio r, consistent with all observations, to be measured more precisely in future detection of gravity waves. Their embedding into supergravity exploits the hyperbolic geometry of the Poincare disk or half-plane. These geometries are isometric under Mobius transformations, which include the shift symmetry of the inflaton field. We introduce a new Kahler potential frame that explicitly preserves this symmetry, enabling the infl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05557","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:34:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"doFHj0YTGbxqXC+bNl+N07vTo/PtSPsINMBdhw2u6whuLoYTNwdYZhcNiTVkZt37MH2E72956bxhvNkoR/6IAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T05:25:42.288514Z"},"content_sha256":"50f920b0d423e1d13c2c90b34d254c4ee155101c2b626e2f9a8a493a3b4ceb03","schema_version":"1.0","event_id":"sha256:50f920b0d423e1d13c2c90b34d254c4ee155101c2b626e2f9a8a493a3b4ceb03"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/52OVWWL6CIS34ARW7732DURSO2/bundle.json","state_url":"https://pith.science/pith/52OVWWL6CIS34ARW7732DURSO2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/52OVWWL6CIS34ARW7732DURSO2/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-10T05:25:42Z","links":{"resolver":"https://pith.science/pith/52OVWWL6CIS34ARW7732DURSO2","bundle":"https://pith.science/pith/52OVWWL6CIS34ARW7732DURSO2/bundle.json","state":"https://pith.science/pith/52OVWWL6CIS34ARW7732DURSO2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/52OVWWL6CIS34ARW7732DURSO2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:52OVWWL6CIS34ARW7732DURSO2","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":"e100e59b524aa9c6ff0e3a6b3372035a3842b15e1a37b139e29a8a810ec9e484","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-21T19:15:48Z","title_canon_sha256":"5e769a9d1d84a9f3e2d6a24830b4d4676a1fb02f26bb88392d3b0a3988653c0d"},"schema_version":"1.0","source":{"id":"1504.05557","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1504.05557","created_at":"2026-05-18T01:34:23Z"},{"alias_kind":"arxiv_version","alias_value":"1504.05557v1","created_at":"2026-05-18T01:34:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.05557","created_at":"2026-05-18T01:34:23Z"},{"alias_kind":"pith_short_12","alias_value":"52OVWWL6CIS3","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_16","alias_value":"52OVWWL6CIS34ARW","created_at":"2026-05-18T12:29:05Z"},{"alias_kind":"pith_short_8","alias_value":"52OVWWL6","created_at":"2026-05-18T12:29:05Z"}],"graph_snapshots":[{"event_id":"sha256:50f920b0d423e1d13c2c90b34d254c4ee155101c2b626e2f9a8a493a3b4ceb03","target":"graph","created_at":"2026-05-18T01:34:23Z","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":"Cosmological alpha-attractors give a natural explanation for the spectral index n_s of inflation as measured by Planck while predicting a range for the tensor-to-scalar ratio r, consistent with all observations, to be measured more precisely in future detection of gravity waves. Their embedding into supergravity exploits the hyperbolic geometry of the Poincare disk or half-plane. These geometries are isometric under Mobius transformations, which include the shift symmetry of the inflaton field. We introduce a new Kahler potential frame that explicitly preserves this symmetry, enabling the infl","authors_text":"Andrei Linde, Diederik Roest, John Joseph M. Carrasco, Renata Kallosh","cross_cats":["astro-ph.CO","gr-qc","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-21T19:15:48Z","title":"The Hyperbolic Geometry of Cosmological Attractors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.05557","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":"sha256:0c46902683fa4794e38e9393ea9f523594a2fff8b36f18940c80e841466b83ae","target":"record","created_at":"2026-05-18T01:34:23Z","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":"e100e59b524aa9c6ff0e3a6b3372035a3842b15e1a37b139e29a8a810ec9e484","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-04-21T19:15:48Z","title_canon_sha256":"5e769a9d1d84a9f3e2d6a24830b4d4676a1fb02f26bb88392d3b0a3988653c0d"},"schema_version":"1.0","source":{"id":"1504.05557","kind":"arxiv","version":1}},"canonical_sha256":"ee9d5b597e1225be0236fff7a1d23276996064d2f97d108b37795d6cb7284a46","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ee9d5b597e1225be0236fff7a1d23276996064d2f97d108b37795d6cb7284a46","first_computed_at":"2026-05-18T01:34:23.454774Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:23.454774Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WG8XSCBMjBKLiOCweZCIZZTxhv7TUXfgotB5fAEgImekU4ksO0EOMEdLTcR7zuGA/AUQ8n198be0ckwovcFUCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:23.455339Z","signed_message":"canonical_sha256_bytes"},"source_id":"1504.05557","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c46902683fa4794e38e9393ea9f523594a2fff8b36f18940c80e841466b83ae","sha256:50f920b0d423e1d13c2c90b34d254c4ee155101c2b626e2f9a8a493a3b4ceb03"],"state_sha256":"fdf1840c50acdeead0795e07ecbe02e801794e1b20128fbf18c3748c389ccad5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"opCgpcI8u48KkgT4MvLsPJYMEvv1yXCK7Hn55CxgOYksYrQnZ5r4aVQnpSAK+wKrPZqppwiL3Op9LdatTLY6Ag==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T05:25:42.292947Z","bundle_sha256":"9c964d123f91c1eb9edc2017d79dd9d8d8f491bbbcf694b343cfdec6c93c0fe7"}}