{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:O47C7INGL35P6S63ZHC464NFD2","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":"2c67f25ec007d97d77b54b2d0f936fa19810dec1230eb41c5da8cb11d158aa4b","cross_cats_sorted":["astro-ph.CO","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-17T20:46:23Z","title_canon_sha256":"2e1472d2c51b2f33302cf36c4015c496763694bc6f118dafeb00252f2e42a273"},"schema_version":"1.0","source":{"id":"1411.4636","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.4636","created_at":"2026-05-18T01:11:38Z"},{"alias_kind":"arxiv_version","alias_value":"1411.4636v2","created_at":"2026-05-18T01:11:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.4636","created_at":"2026-05-18T01:11:38Z"},{"alias_kind":"pith_short_12","alias_value":"O47C7INGL35P","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_16","alias_value":"O47C7INGL35P6S63","created_at":"2026-05-18T12:28:41Z"},{"alias_kind":"pith_short_8","alias_value":"O47C7ING","created_at":"2026-05-18T12:28:41Z"}],"graph_snapshots":[{"event_id":"sha256:a98201f0ea85f584340faae62fbaf210c8d4b0c66134c8c600f1662389098b3c","target":"graph","created_at":"2026-05-18T01:11:38Z","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":"By demanding the validity of an effective field theory description during inflation, in this note we derive some peculiar inequalities among the three interesting stringy and cosmological parameters, namely the tensor-to-scalar ratio ($r$), the string coupling ($g_s$) and the compactification volume (${\\cal V}$). In deriving these inequalities, we explicitly demand that the inflationary scale and the Hubble parameter during inflation are well below the Kaluza-Klein (KK) mass scale, string scale, and the four dimensional Planck mass. For the inflationary models developed within the framework of","authors_text":"Anupam Mazumdar, Pramod Shukla","cross_cats":["astro-ph.CO","hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-17T20:46:23Z","title":"Some inequalities bridging stringy parameters and cosmological observables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.4636","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":"sha256:7d0a29080799766d9940e2615cd623dea4f6641381748d209c5f58e5ac7ff113","target":"record","created_at":"2026-05-18T01:11:38Z","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":"2c67f25ec007d97d77b54b2d0f936fa19810dec1230eb41c5da8cb11d158aa4b","cross_cats_sorted":["astro-ph.CO","hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-11-17T20:46:23Z","title_canon_sha256":"2e1472d2c51b2f33302cf36c4015c496763694bc6f118dafeb00252f2e42a273"},"schema_version":"1.0","source":{"id":"1411.4636","kind":"arxiv","version":2}},"canonical_sha256":"773e2fa1a65efaff4bdbc9c5cf71a51ebad9d556674454d11b5a426df1c2c5c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"773e2fa1a65efaff4bdbc9c5cf71a51ebad9d556674454d11b5a426df1c2c5c4","first_computed_at":"2026-05-18T01:11:38.806617Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:38.806617Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3sIYexQf70jmmj+7z28ao2GZSD35d7Y/l/cBzkoInvfg+WkritBgcLjbHPKhdp5Z1GHNoI/fP6QG1eblER1aBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:38.806991Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.4636","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d0a29080799766d9940e2615cd623dea4f6641381748d209c5f58e5ac7ff113","sha256:a98201f0ea85f584340faae62fbaf210c8d4b0c66134c8c600f1662389098b3c"],"state_sha256":"dffd3fafc509813daff724905780eec6aa25ae8f9c30a3cda9dc2b0f0b67b067"}