{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:2FCSA2A22UIGQCCCIDI6CVQU3Q","short_pith_number":"pith:2FCSA2A2","canonical_record":{"source":{"id":"1611.05883","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-11-17T21:00:24Z","cross_cats_sorted":[],"title_canon_sha256":"f53cc3e28cff9016460c5e5f5113f6f44f662a3d7c2322a0cec9a52d404eeefb","abstract_canon_sha256":"5bfba662b8803553f38bfc4fac21138198c701967caca072449a7078cf042990"},"schema_version":"1.0"},"canonical_sha256":"d14520681ad51068084240d1e15614dc01320650e576c37fbdb2155ab619a960","source":{"kind":"arxiv","id":"1611.05883","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.05883","created_at":"2026-05-18T00:43:59Z"},{"alias_kind":"arxiv_version","alias_value":"1611.05883v2","created_at":"2026-05-18T00:43:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.05883","created_at":"2026-05-18T00:43:59Z"},{"alias_kind":"pith_short_12","alias_value":"2FCSA2A22UIG","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2FCSA2A22UIGQCCC","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2FCSA2A2","created_at":"2026-05-18T12:29:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:2FCSA2A22UIGQCCCIDI6CVQU3Q","target":"record","payload":{"canonical_record":{"source":{"id":"1611.05883","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-11-17T21:00:24Z","cross_cats_sorted":[],"title_canon_sha256":"f53cc3e28cff9016460c5e5f5113f6f44f662a3d7c2322a0cec9a52d404eeefb","abstract_canon_sha256":"5bfba662b8803553f38bfc4fac21138198c701967caca072449a7078cf042990"},"schema_version":"1.0"},"canonical_sha256":"d14520681ad51068084240d1e15614dc01320650e576c37fbdb2155ab619a960","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:43:59.095211Z","signature_b64":"PdkMRtUU3MVQT/yLnO8WdmPpiDZw4NIT5SpdUwLWXrXfgpqjyjBo3f6weE2jr+HyHQs1u084jUFtzK4EURLuCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d14520681ad51068084240d1e15614dc01320650e576c37fbdb2155ab619a960","last_reissued_at":"2026-05-18T00:43:59.094619Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:43:59.094619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.05883","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":"2026-05-18T00:43:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"70DEHaQ36WMCRX01DIDGtW9bAmKKLFaYLxxJPvtGu2Cv7di5BY115ML8vsbJIROX7Tltekv7vxg9S8pU+PIfDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T00:36:32.229931Z"},"content_sha256":"a52fa7cfb4c6aed6c730f0f8e3acffa6f6fde65fcef70f03b88ece6f2ab01175","schema_version":"1.0","event_id":"sha256:a52fa7cfb4c6aed6c730f0f8e3acffa6f6fde65fcef70f03b88ece6f2ab01175"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:2FCSA2A22UIGQCCCIDI6CVQU3Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Towards a measurement of the spectral runnings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Alvise Raccanelli, Ely D. Kovetz, Joseph Silk, Julian B. Mu\\~noz, Marc Kamionkowski","submitted_at":"2016-11-17T21:00:24Z","abstract_excerpt":"Single-field slow-roll inflation predicts a nearly scale-free power spectrum of perturbations, as observed at the scales accessible to current cosmological experiments. This spectrum is slightly red, showing a tilt $(1-n_s)\\sim 0.04$. A direct consequence of this tilt are nonvanishing runnings $\\alpha_s=\\mathrm d n_s/\\mathrm d\\log k$, and $\\beta_s=\\mathrm d\\alpha_s/\\mathrm d\\log k$, which in the minimal inflationary scenario should reach absolute values of $10^{-3}$ and $10^{-5}$, respectively. In this work we calculate how well future surveys can measure these two runnings. We consider a Stag"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05883","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":"2026-05-18T00:43:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NN6RMgL+EXWiDwgGiIEwU+w98T6YiyAj/hHWSsveuTBi8+alOgs1thbKsSvVSNUBkqsjznXDtUhu+kSKDZz5AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-19T00:36:32.230477Z"},"content_sha256":"2328cc33de0e1bb9526d9461673074d379f9f1834c6706f439808e37de40152a","schema_version":"1.0","event_id":"sha256:2328cc33de0e1bb9526d9461673074d379f9f1834c6706f439808e37de40152a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2FCSA2A22UIGQCCCIDI6CVQU3Q/bundle.json","state_url":"https://pith.science/pith/2FCSA2A22UIGQCCCIDI6CVQU3Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2FCSA2A22UIGQCCCIDI6CVQU3Q/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":"2026-05-19T00:36:32Z","links":{"resolver":"https://pith.science/pith/2FCSA2A22UIGQCCCIDI6CVQU3Q","bundle":"https://pith.science/pith/2FCSA2A22UIGQCCCIDI6CVQU3Q/bundle.json","state":"https://pith.science/pith/2FCSA2A22UIGQCCCIDI6CVQU3Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2FCSA2A22UIGQCCCIDI6CVQU3Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:2FCSA2A22UIGQCCCIDI6CVQU3Q","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":"5bfba662b8803553f38bfc4fac21138198c701967caca072449a7078cf042990","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-11-17T21:00:24Z","title_canon_sha256":"f53cc3e28cff9016460c5e5f5113f6f44f662a3d7c2322a0cec9a52d404eeefb"},"schema_version":"1.0","source":{"id":"1611.05883","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.05883","created_at":"2026-05-18T00:43:59Z"},{"alias_kind":"arxiv_version","alias_value":"1611.05883v2","created_at":"2026-05-18T00:43:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.05883","created_at":"2026-05-18T00:43:59Z"},{"alias_kind":"pith_short_12","alias_value":"2FCSA2A22UIG","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_16","alias_value":"2FCSA2A22UIGQCCC","created_at":"2026-05-18T12:29:55Z"},{"alias_kind":"pith_short_8","alias_value":"2FCSA2A2","created_at":"2026-05-18T12:29:55Z"}],"graph_snapshots":[{"event_id":"sha256:2328cc33de0e1bb9526d9461673074d379f9f1834c6706f439808e37de40152a","target":"graph","created_at":"2026-05-18T00:43:59Z","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":"Single-field slow-roll inflation predicts a nearly scale-free power spectrum of perturbations, as observed at the scales accessible to current cosmological experiments. This spectrum is slightly red, showing a tilt $(1-n_s)\\sim 0.04$. A direct consequence of this tilt are nonvanishing runnings $\\alpha_s=\\mathrm d n_s/\\mathrm d\\log k$, and $\\beta_s=\\mathrm d\\alpha_s/\\mathrm d\\log k$, which in the minimal inflationary scenario should reach absolute values of $10^{-3}$ and $10^{-5}$, respectively. In this work we calculate how well future surveys can measure these two runnings. We consider a Stag","authors_text":"Alvise Raccanelli, Ely D. Kovetz, Joseph Silk, Julian B. Mu\\~noz, Marc Kamionkowski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-11-17T21:00:24Z","title":"Towards a measurement of the spectral runnings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.05883","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:a52fa7cfb4c6aed6c730f0f8e3acffa6f6fde65fcef70f03b88ece6f2ab01175","target":"record","created_at":"2026-05-18T00:43:59Z","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":"5bfba662b8803553f38bfc4fac21138198c701967caca072449a7078cf042990","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-11-17T21:00:24Z","title_canon_sha256":"f53cc3e28cff9016460c5e5f5113f6f44f662a3d7c2322a0cec9a52d404eeefb"},"schema_version":"1.0","source":{"id":"1611.05883","kind":"arxiv","version":2}},"canonical_sha256":"d14520681ad51068084240d1e15614dc01320650e576c37fbdb2155ab619a960","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d14520681ad51068084240d1e15614dc01320650e576c37fbdb2155ab619a960","first_computed_at":"2026-05-18T00:43:59.094619Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:43:59.094619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PdkMRtUU3MVQT/yLnO8WdmPpiDZw4NIT5SpdUwLWXrXfgpqjyjBo3f6weE2jr+HyHQs1u084jUFtzK4EURLuCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:43:59.095211Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.05883","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a52fa7cfb4c6aed6c730f0f8e3acffa6f6fde65fcef70f03b88ece6f2ab01175","sha256:2328cc33de0e1bb9526d9461673074d379f9f1834c6706f439808e37de40152a"],"state_sha256":"c60758a421b1ff7c02b4e04fce62d997303d5e6af53852a05ef2a7eaa5e1de3b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6k2GY91VB2HsvEGU1CFpMCjXZjwBDK3gFaKEDnE6p1dMDqzTUDhG6rfVX9aXlwGhDpH9Aqfp9eVbm0tXwkV6Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-19T00:36:32.231687Z","bundle_sha256":"242ffa23edc364b97ce40bb83b62c2d96a86c622fc2fb85458a16da27087758a"}}