{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:VHPBHO5UI5TPVFYTNJ4BA6W6QM","short_pith_number":"pith:VHPBHO5U","schema_version":"1.0","canonical_sha256":"a9de13bbb44766fa97136a78107ade831f8a7c7b86105e694e6bb6c5f31da6ab","source":{"kind":"arxiv","id":"1412.0678","version":2},"attestation_state":"computed","paper":{"title":"Implications of the scalar tilt for the tensor-to-scalar ratio","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Diana L\\'opez Nacir, Gabriele Trevisan, Giovanni Villadoro, Marko Simonovi\\'c, Matias Zaldarriaga, Paolo Creminelli, Sergei Dubovsky","submitted_at":"2014-12-01T21:05:45Z","abstract_excerpt":"We investigate the possible implications of the measured value of the scalar tilt $n_s$ for the tensor-to-scalar ratio $r$ in slow-roll, single-field inflationary models. The measured value of the tilt satisfies $n_s -1\\sim 1/N_*$, where $N_* \\sim 60$ is the number of $e$-folds for observationally relevant scales. If this is not a coincidence and the scaling holds for different values of $N$, it strongly suggests that either $r$ is as big as $10^{-1}$ (a possibility in tension with the recent data), or smaller than $10^{-2}$ and exponentially dependent on $n_s$. A large region of the ($n_s$,$r"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1412.0678","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-12-01T21:05:45Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"36fa358caf80efb4b528f234b1e487f7812b0f2e0e57606bdfe40868e26fda1b","abstract_canon_sha256":"36ef66201fd895698c0d569b5541633b697be51e2814ab071dafe8fdaa1b633b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:22:41.625350Z","signature_b64":"7BRuHzBieqfeXkdtTYxNzaIrnAQWyW6JQynUkQge61r3ZWL0E9XajTPIuuFdTxJpZBGAEwV8lgK2tLy3KnLhBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a9de13bbb44766fa97136a78107ade831f8a7c7b86105e694e6bb6c5f31da6ab","last_reissued_at":"2026-05-18T01:22:41.624945Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:22:41.624945Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Implications of the scalar tilt for the tensor-to-scalar ratio","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Diana L\\'opez Nacir, Gabriele Trevisan, Giovanni Villadoro, Marko Simonovi\\'c, Matias Zaldarriaga, Paolo Creminelli, Sergei Dubovsky","submitted_at":"2014-12-01T21:05:45Z","abstract_excerpt":"We investigate the possible implications of the measured value of the scalar tilt $n_s$ for the tensor-to-scalar ratio $r$ in slow-roll, single-field inflationary models. The measured value of the tilt satisfies $n_s -1\\sim 1/N_*$, where $N_* \\sim 60$ is the number of $e$-folds for observationally relevant scales. If this is not a coincidence and the scaling holds for different values of $N$, it strongly suggests that either $r$ is as big as $10^{-1}$ (a possibility in tension with the recent data), or smaller than $10^{-2}$ and exponentially dependent on $n_s$. A large region of the ($n_s$,$r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0678","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1412.0678","created_at":"2026-05-18T01:22:41.625006+00:00"},{"alias_kind":"arxiv_version","alias_value":"1412.0678v2","created_at":"2026-05-18T01:22:41.625006+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0678","created_at":"2026-05-18T01:22:41.625006+00:00"},{"alias_kind":"pith_short_12","alias_value":"VHPBHO5UI5TP","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_16","alias_value":"VHPBHO5UI5TPVFYT","created_at":"2026-05-18T12:28:54.890064+00:00"},{"alias_kind":"pith_short_8","alias_value":"VHPBHO5U","created_at":"2026-05-18T12:28:54.890064+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VHPBHO5UI5TPVFYTNJ4BA6W6QM","json":"https://pith.science/pith/VHPBHO5UI5TPVFYTNJ4BA6W6QM.json","graph_json":"https://pith.science/api/pith-number/VHPBHO5UI5TPVFYTNJ4BA6W6QM/graph.json","events_json":"https://pith.science/api/pith-number/VHPBHO5UI5TPVFYTNJ4BA6W6QM/events.json","paper":"https://pith.science/paper/VHPBHO5U"},"agent_actions":{"view_html":"https://pith.science/pith/VHPBHO5UI5TPVFYTNJ4BA6W6QM","download_json":"https://pith.science/pith/VHPBHO5UI5TPVFYTNJ4BA6W6QM.json","view_paper":"https://pith.science/paper/VHPBHO5U","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1412.0678&json=true","fetch_graph":"https://pith.science/api/pith-number/VHPBHO5UI5TPVFYTNJ4BA6W6QM/graph.json","fetch_events":"https://pith.science/api/pith-number/VHPBHO5UI5TPVFYTNJ4BA6W6QM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VHPBHO5UI5TPVFYTNJ4BA6W6QM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VHPBHO5UI5TPVFYTNJ4BA6W6QM/action/storage_attestation","attest_author":"https://pith.science/pith/VHPBHO5UI5TPVFYTNJ4BA6W6QM/action/author_attestation","sign_citation":"https://pith.science/pith/VHPBHO5UI5TPVFYTNJ4BA6W6QM/action/citation_signature","submit_replication":"https://pith.science/pith/VHPBHO5UI5TPVFYTNJ4BA6W6QM/action/replication_record"}},"created_at":"2026-05-18T01:22:41.625006+00:00","updated_at":"2026-05-18T01:22:41.625006+00:00"}