{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:JC55SUYCMGIKGU56XB7W7FJUDG","short_pith_number":"pith:JC55SUYC","canonical_record":{"source":{"id":"1303.3925","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-03-15T23:04:53Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c7cc49eaf6748da5f40188696a9de8f9110be9960ca5db08ff781fbf6e6d33dc","abstract_canon_sha256":"6a77482b417a19e4de470dbb95dc02ef9fd3def226d97d594f7d6d592a825321"},"schema_version":"1.0"},"canonical_sha256":"48bbd953026190a353beb87f6f953419bff27d853b9f9470b6b86d7e2139e11c","source":{"kind":"arxiv","id":"1303.3925","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3925","created_at":"2026-05-18T01:51:06Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3925v1","created_at":"2026-05-18T01:51:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3925","created_at":"2026-05-18T01:51:06Z"},{"alias_kind":"pith_short_12","alias_value":"JC55SUYCMGIK","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JC55SUYCMGIKGU56","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JC55SUYC","created_at":"2026-05-18T12:27:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:JC55SUYCMGIKGU56XB7W7FJUDG","target":"record","payload":{"canonical_record":{"source":{"id":"1303.3925","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-03-15T23:04:53Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"c7cc49eaf6748da5f40188696a9de8f9110be9960ca5db08ff781fbf6e6d33dc","abstract_canon_sha256":"6a77482b417a19e4de470dbb95dc02ef9fd3def226d97d594f7d6d592a825321"},"schema_version":"1.0"},"canonical_sha256":"48bbd953026190a353beb87f6f953419bff27d853b9f9470b6b86d7e2139e11c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:06.547120Z","signature_b64":"WAttyhdXJMPJdSl6odvjTYbtmX3iXLfNlYeE1cTd4ur2oARYNlCcmJ9bDeYn5fIvM+8ZHjg3Mx5/z1fykHHmBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"48bbd953026190a353beb87f6f953419bff27d853b9f9470b6b86d7e2139e11c","last_reissued_at":"2026-05-18T01:51:06.546588Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:06.546588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.3925","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:51:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pjIAW8ipPjXSAGzVNNREPyJlzxrDLgSQI1LEN8qhvcgTcWQo+OjVMc1NFRwLJ3F4E9TLxLFyqtBm5h9AInuDDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T03:25:24.067495Z"},"content_sha256":"50fa24648b207431fbd9e6e532200e29e9cbcc8d56c190d6766c5e196a4e7bd3","schema_version":"1.0","event_id":"sha256:50fa24648b207431fbd9e6e532200e29e9cbcc8d56c190d6766c5e196a4e7bd3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:JC55SUYCMGIKGU56XB7W7FJUDG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum Cosmological Perturbations: Predictions and Observations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Viatcheslav Mukhanov","submitted_at":"2013-03-15T23:04:53Z","abstract_excerpt":"I consider the generic model independent predictions of the theory of quantum cosmological perturbations. To describe the stage of cosmic inflation, where these perturbations are amplified, the hydrodynamical approch is used. The inflationary stage is completely characterized by the deviation of the equation of state from cosmological constant which is a smooth function of the number of e-folds until the end of inflation. It is shown that in this case the spectral index should deviate from the flat one at least by 3 percent irrespective of any particular scenario. Given the value of the spectr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3925","kind":"arxiv","version":1},"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":"2026-05-18T01:51:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xp5LLZ45XyNBPrARSW4JOah7a8NMSE1Bjx6z5q4+19sP3zR9gQGZKjE7HxL1x9VkBkFUucR5t6Uba6Q5ISmlAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T03:25:24.068069Z"},"content_sha256":"61c410863df59d1921dd6774a5027dd5e63ef04fe7bbdb98e64ed205ca9a358e","schema_version":"1.0","event_id":"sha256:61c410863df59d1921dd6774a5027dd5e63ef04fe7bbdb98e64ed205ca9a358e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JC55SUYCMGIKGU56XB7W7FJUDG/bundle.json","state_url":"https://pith.science/pith/JC55SUYCMGIKGU56XB7W7FJUDG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JC55SUYCMGIKGU56XB7W7FJUDG/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":"2026-08-13T03:25:24Z","links":{"resolver":"https://pith.science/pith/JC55SUYCMGIKGU56XB7W7FJUDG","bundle":"https://pith.science/pith/JC55SUYCMGIKGU56XB7W7FJUDG/bundle.json","state":"https://pith.science/pith/JC55SUYCMGIKGU56XB7W7FJUDG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JC55SUYCMGIKGU56XB7W7FJUDG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:JC55SUYCMGIKGU56XB7W7FJUDG","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":"6a77482b417a19e4de470dbb95dc02ef9fd3def226d97d594f7d6d592a825321","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-03-15T23:04:53Z","title_canon_sha256":"c7cc49eaf6748da5f40188696a9de8f9110be9960ca5db08ff781fbf6e6d33dc"},"schema_version":"1.0","source":{"id":"1303.3925","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.3925","created_at":"2026-05-18T01:51:06Z"},{"alias_kind":"arxiv_version","alias_value":"1303.3925v1","created_at":"2026-05-18T01:51:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.3925","created_at":"2026-05-18T01:51:06Z"},{"alias_kind":"pith_short_12","alias_value":"JC55SUYCMGIK","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_16","alias_value":"JC55SUYCMGIKGU56","created_at":"2026-05-18T12:27:49Z"},{"alias_kind":"pith_short_8","alias_value":"JC55SUYC","created_at":"2026-05-18T12:27:49Z"}],"graph_snapshots":[{"event_id":"sha256:61c410863df59d1921dd6774a5027dd5e63ef04fe7bbdb98e64ed205ca9a358e","target":"graph","created_at":"2026-05-18T01:51:06Z","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":"I consider the generic model independent predictions of the theory of quantum cosmological perturbations. To describe the stage of cosmic inflation, where these perturbations are amplified, the hydrodynamical approch is used. The inflationary stage is completely characterized by the deviation of the equation of state from cosmological constant which is a smooth function of the number of e-folds until the end of inflation. It is shown that in this case the spectral index should deviate from the flat one at least by 3 percent irrespective of any particular scenario. Given the value of the spectr","authors_text":"Viatcheslav Mukhanov","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-03-15T23:04:53Z","title":"Quantum Cosmological Perturbations: Predictions and Observations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.3925","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":"sha256:50fa24648b207431fbd9e6e532200e29e9cbcc8d56c190d6766c5e196a4e7bd3","target":"record","created_at":"2026-05-18T01:51:06Z","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":"6a77482b417a19e4de470dbb95dc02ef9fd3def226d97d594f7d6d592a825321","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-03-15T23:04:53Z","title_canon_sha256":"c7cc49eaf6748da5f40188696a9de8f9110be9960ca5db08ff781fbf6e6d33dc"},"schema_version":"1.0","source":{"id":"1303.3925","kind":"arxiv","version":1}},"canonical_sha256":"48bbd953026190a353beb87f6f953419bff27d853b9f9470b6b86d7e2139e11c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48bbd953026190a353beb87f6f953419bff27d853b9f9470b6b86d7e2139e11c","first_computed_at":"2026-05-18T01:51:06.546588Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:51:06.546588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WAttyhdXJMPJdSl6odvjTYbtmX3iXLfNlYeE1cTd4ur2oARYNlCcmJ9bDeYn5fIvM+8ZHjg3Mx5/z1fykHHmBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:51:06.547120Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.3925","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:50fa24648b207431fbd9e6e532200e29e9cbcc8d56c190d6766c5e196a4e7bd3","sha256:61c410863df59d1921dd6774a5027dd5e63ef04fe7bbdb98e64ed205ca9a358e"],"state_sha256":"abd93e52c7589ff523b3f58ff5f8dc1f2d1ed7f443b74484642a1c72f1bc8a30"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7DdX1Lv8j0RdM6n5M7lbPpswZ2tr20aBNC1SwT7hrxzeX78p9gVjzg3ANqp/rVMaTONoNNuRq3CQbZ76CCfVBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T03:25:24.080942Z","bundle_sha256":"9087185ef2ce50cf99f001fa2ad23af534dae35c994a9c74a79fc4f7e84bd6ac"}}