{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:P6KPKOWIJDXWUIT53BZ2VNTKKH","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":"01e2e52bdd158dc0b0f18c8397e7d3e194f92081977d35db9a6026b34df9fc37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-07-06T20:00:30Z","title_canon_sha256":"49b653a1dd7bf5094bb9f279ce08ce21f0c5895761d5b7bda6d5bde8b4f98743"},"schema_version":"1.0","source":{"id":"1107.1241","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.1241","created_at":"2026-05-18T02:01:22Z"},{"alias_kind":"arxiv_version","alias_value":"1107.1241v1","created_at":"2026-05-18T02:01:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.1241","created_at":"2026-05-18T02:01:22Z"},{"alias_kind":"pith_short_12","alias_value":"P6KPKOWIJDXW","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_16","alias_value":"P6KPKOWIJDXWUIT5","created_at":"2026-05-18T12:26:39Z"},{"alias_kind":"pith_short_8","alias_value":"P6KPKOWI","created_at":"2026-05-18T12:26:39Z"}],"graph_snapshots":[{"event_id":"sha256:3129c16b1e29c8e5d7e855064fa4e57409613a6931c6d0b0858c796719225ff9","target":"graph","created_at":"2026-05-18T02:01:22Z","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 investigate the general properties of expanding cosmological models which generate scale-invariant curvature perturbations in the presence of a variable speed of sound. We show that in an expanding universe, generation of a super-Hubble, nearly scale-invariant spectrum of perturbations over a range of wavelengths consistent with observation requires at least one of three conditions: (1) accelerating expansion, (2) a speed of sound faster than the speed of light, or (3) super-Planckian energy density.","authors_text":"Azadeh Moradinezhad Dizgah (Univ. at Buffalo, Ghazal Geshnizjani, SUNY), William H. Kinney","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-07-06T20:00:30Z","title":"General conditions for scale-invariant perturbations in an expanding universe"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.1241","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":"sha256:1277c1dc6d3c005fe47d4bf19845f191af762964db4686d962130bf6a34bc933","target":"record","created_at":"2026-05-18T02:01:22Z","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":"01e2e52bdd158dc0b0f18c8397e7d3e194f92081977d35db9a6026b34df9fc37","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-07-06T20:00:30Z","title_canon_sha256":"49b653a1dd7bf5094bb9f279ce08ce21f0c5895761d5b7bda6d5bde8b4f98743"},"schema_version":"1.0","source":{"id":"1107.1241","kind":"arxiv","version":1}},"canonical_sha256":"7f94f53ac848ef6a227dd873aab66a51c8f5a3ac838c53339a3a24275172bbb5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7f94f53ac848ef6a227dd873aab66a51c8f5a3ac838c53339a3a24275172bbb5","first_computed_at":"2026-05-18T02:01:22.236452Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:22.236452Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WtRJ0iG59EuzkvEdoQMAox617dWTUir3zws4pBk9iFCROoGuSP6UQr3yJfRt/T4NlmhbC7hrkYVMFVAAPD8aDg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:22.237140Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.1241","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1277c1dc6d3c005fe47d4bf19845f191af762964db4686d962130bf6a34bc933","sha256:3129c16b1e29c8e5d7e855064fa4e57409613a6931c6d0b0858c796719225ff9"],"state_sha256":"42df9989e2c8dcda73209600caad963dc0eaffc7010da111b55330a7f0f08bf3"}