{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:ULTUAGAZGTDJ3VEFETF7BIVOO2","short_pith_number":"pith:ULTUAGAZ","canonical_record":{"source":{"id":"1408.6839","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-08-28T20:00:07Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"title_canon_sha256":"1e9ba4d2f0dbabaa7f74136dce057b7edb4daaedec4f94efc87d3ef797cb6be5","abstract_canon_sha256":"de76902f70a2bf8ce05493cca99da63651da74811f1be30f0b51fedbc796de3a"},"schema_version":"1.0"},"canonical_sha256":"a2e740181934c69dd48524cbf0a2ae76979a841ff9553d8edaa331c0b5914115","source":{"kind":"arxiv","id":"1408.6839","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.6839","created_at":"2026-05-18T02:29:52Z"},{"alias_kind":"arxiv_version","alias_value":"1408.6839v2","created_at":"2026-05-18T02:29:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6839","created_at":"2026-05-18T02:29:52Z"},{"alias_kind":"pith_short_12","alias_value":"ULTUAGAZGTDJ","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"ULTUAGAZGTDJ3VEF","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"ULTUAGAZ","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:ULTUAGAZGTDJ3VEFETF7BIVOO2","target":"record","payload":{"canonical_record":{"source":{"id":"1408.6839","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-08-28T20:00:07Z","cross_cats_sorted":["astro-ph.CO","gr-qc","hep-ph"],"title_canon_sha256":"1e9ba4d2f0dbabaa7f74136dce057b7edb4daaedec4f94efc87d3ef797cb6be5","abstract_canon_sha256":"de76902f70a2bf8ce05493cca99da63651da74811f1be30f0b51fedbc796de3a"},"schema_version":"1.0"},"canonical_sha256":"a2e740181934c69dd48524cbf0a2ae76979a841ff9553d8edaa331c0b5914115","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:29:52.899373Z","signature_b64":"pjLWVPu/fLJKSgWeMxeTZov8uK4DbqTNiwHncJ8NoGqMassSqrF43PtzcYsr6l1ApDWIk0kH+evOOpYbdt++Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a2e740181934c69dd48524cbf0a2ae76979a841ff9553d8edaa331c0b5914115","last_reissued_at":"2026-05-18T02:29:52.898925Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:29:52.898925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1408.6839","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:29:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S8bsEZUpWLztrFXSGyKn1aJqqwCrfXLXk+zVPKpS8pVr2gLfLJnQ7ww/X7IZGch8joPc8TkVW8MuI5dfF32TBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:53:23.869107Z"},"content_sha256":"72e711537d4fda4feaf2cd495ccc33f92a2fc020798006d0aec3c57b39414137","schema_version":"1.0","event_id":"sha256:72e711537d4fda4feaf2cd495ccc33f92a2fc020798006d0aec3c57b39414137"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:ULTUAGAZGTDJ3VEFETF7BIVOO2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Lyth Bound of Inflation with a Tilt","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":"Diederik Roest, Ivonne Zavala, Juan Garcia-Bellido, Marco Scalisi","submitted_at":"2014-08-28T20:00:07Z","abstract_excerpt":"We provide strong evidence for universality of the inflationary field range: given an accurate measurement of $(n_s,r)$, one can infer $\\Delta \\phi$ in a model-independent way in the sub-Planckian regime for a range of universality classes of inflationary models. Both the tensor-to-scalar ratio as well as the spectral tilt are essential for the field range. Given the Planck constraints on $n_s$, the Lyth bound is strengthened by two orders of magnitude: whereas the original bound gives a sub-Planckian field range for $r \\lesssim 2 \\cdot 10^{-3}$, we find that $n=0.96$ brings this down to $r \\l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6839","kind":"arxiv","version":2},"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":"2026-05-18T02:29:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fk+N6fLEvObP7UJF8vdz2mFjn7MVGtNdI9mnnPP7i4g5ztYaOw5tpptsicU2o74leCgIMZGvoRpml1sfKmvMCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T07:53:23.869576Z"},"content_sha256":"7e215ee88d12e74eb6b00f3bc775aae5edf1a701a3c4be7f435a0dc640731f12","schema_version":"1.0","event_id":"sha256:7e215ee88d12e74eb6b00f3bc775aae5edf1a701a3c4be7f435a0dc640731f12"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ULTUAGAZGTDJ3VEFETF7BIVOO2/bundle.json","state_url":"https://pith.science/pith/ULTUAGAZGTDJ3VEFETF7BIVOO2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ULTUAGAZGTDJ3VEFETF7BIVOO2/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":"2026-05-26T07:53:23Z","links":{"resolver":"https://pith.science/pith/ULTUAGAZGTDJ3VEFETF7BIVOO2","bundle":"https://pith.science/pith/ULTUAGAZGTDJ3VEFETF7BIVOO2/bundle.json","state":"https://pith.science/pith/ULTUAGAZGTDJ3VEFETF7BIVOO2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ULTUAGAZGTDJ3VEFETF7BIVOO2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ULTUAGAZGTDJ3VEFETF7BIVOO2","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":"de76902f70a2bf8ce05493cca99da63651da74811f1be30f0b51fedbc796de3a","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":"2014-08-28T20:00:07Z","title_canon_sha256":"1e9ba4d2f0dbabaa7f74136dce057b7edb4daaedec4f94efc87d3ef797cb6be5"},"schema_version":"1.0","source":{"id":"1408.6839","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.6839","created_at":"2026-05-18T02:29:52Z"},{"alias_kind":"arxiv_version","alias_value":"1408.6839v2","created_at":"2026-05-18T02:29:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.6839","created_at":"2026-05-18T02:29:52Z"},{"alias_kind":"pith_short_12","alias_value":"ULTUAGAZGTDJ","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"ULTUAGAZGTDJ3VEF","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"ULTUAGAZ","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:7e215ee88d12e74eb6b00f3bc775aae5edf1a701a3c4be7f435a0dc640731f12","target":"graph","created_at":"2026-05-18T02:29:52Z","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":"We provide strong evidence for universality of the inflationary field range: given an accurate measurement of $(n_s,r)$, one can infer $\\Delta \\phi$ in a model-independent way in the sub-Planckian regime for a range of universality classes of inflationary models. Both the tensor-to-scalar ratio as well as the spectral tilt are essential for the field range. Given the Planck constraints on $n_s$, the Lyth bound is strengthened by two orders of magnitude: whereas the original bound gives a sub-Planckian field range for $r \\lesssim 2 \\cdot 10^{-3}$, we find that $n=0.96$ brings this down to $r \\l","authors_text":"Diederik Roest, Ivonne Zavala, Juan Garcia-Bellido, Marco Scalisi","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":"2014-08-28T20:00:07Z","title":"The Lyth Bound of Inflation with a Tilt"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.6839","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":"sha256:72e711537d4fda4feaf2cd495ccc33f92a2fc020798006d0aec3c57b39414137","target":"record","created_at":"2026-05-18T02:29:52Z","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":"de76902f70a2bf8ce05493cca99da63651da74811f1be30f0b51fedbc796de3a","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":"2014-08-28T20:00:07Z","title_canon_sha256":"1e9ba4d2f0dbabaa7f74136dce057b7edb4daaedec4f94efc87d3ef797cb6be5"},"schema_version":"1.0","source":{"id":"1408.6839","kind":"arxiv","version":2}},"canonical_sha256":"a2e740181934c69dd48524cbf0a2ae76979a841ff9553d8edaa331c0b5914115","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a2e740181934c69dd48524cbf0a2ae76979a841ff9553d8edaa331c0b5914115","first_computed_at":"2026-05-18T02:29:52.898925Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:29:52.898925Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pjLWVPu/fLJKSgWeMxeTZov8uK4DbqTNiwHncJ8NoGqMassSqrF43PtzcYsr6l1ApDWIk0kH+evOOpYbdt++Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:29:52.899373Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.6839","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72e711537d4fda4feaf2cd495ccc33f92a2fc020798006d0aec3c57b39414137","sha256:7e215ee88d12e74eb6b00f3bc775aae5edf1a701a3c4be7f435a0dc640731f12"],"state_sha256":"b8899c61eb5ff251601d4e87186f94cf377ac1aa784ed0ab8bff38a97a2dc390"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ngytvg/cp5awUFW+YQKgCl/vF2kofdIbp4xHbiGjOko7o8nFwF7hpYa84UuC+B3ezeNFtgEjlo9vNXnMJK7mAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T07:53:23.872558Z","bundle_sha256":"7afd8a46b7dc49d3d77bc07a2b2d1cbc3a61d1d21876035e6ff31cf0fb59f476"}}