{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:QBIOSAFCJKI32CKFJ3DBWS3GZE","short_pith_number":"pith:QBIOSAFC","canonical_record":{"source":{"id":"1407.4785","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-07-17T19:30:58Z","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"title_canon_sha256":"f6f57788cf9d96f99550f272c0f5daffce52633f3520da49ff95a2414491bc78","abstract_canon_sha256":"09a7af07eca3ff67ebb57dcc82117e4c70f7238c374c2c3b4b25137d3239446a"},"schema_version":"1.0"},"canonical_sha256":"8050e900a24a91bd09454ec61b4b66c9186e2d27dac288d7999b562da29ac967","source":{"kind":"arxiv","id":"1407.4785","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.4785","created_at":"2026-05-18T02:26:45Z"},{"alias_kind":"arxiv_version","alias_value":"1407.4785v1","created_at":"2026-05-18T02:26:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.4785","created_at":"2026-05-18T02:26:45Z"},{"alias_kind":"pith_short_12","alias_value":"QBIOSAFCJKI3","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"QBIOSAFCJKI32CKF","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"QBIOSAFC","created_at":"2026-05-18T12:28:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:QBIOSAFCJKI32CKFJ3DBWS3GZE","target":"record","payload":{"canonical_record":{"source":{"id":"1407.4785","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-07-17T19:30:58Z","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"title_canon_sha256":"f6f57788cf9d96f99550f272c0f5daffce52633f3520da49ff95a2414491bc78","abstract_canon_sha256":"09a7af07eca3ff67ebb57dcc82117e4c70f7238c374c2c3b4b25137d3239446a"},"schema_version":"1.0"},"canonical_sha256":"8050e900a24a91bd09454ec61b4b66c9186e2d27dac288d7999b562da29ac967","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:45.393641Z","signature_b64":"rv6+yjog7SxRi8nN+sHdPAFHoH22mpoQH6F0xRIHKJ4lnTBGPRwSaNbjyqPwNY1Ofb+hxmPVEzkT75VdqGBnDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8050e900a24a91bd09454ec61b4b66c9186e2d27dac288d7999b562da29ac967","last_reissued_at":"2026-05-18T02:26:45.393248Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:45.393248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.4785","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":"2026-05-18T02:26:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yurJORTS93E10O4OtMZcbck7sjhPG3Q68hgWaljaE/HB8rWyVf88sjbeMFbeaFuSMNQnh84mUee0T9EukDSPCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:35:29.896512Z"},"content_sha256":"a52707e55ac571219a6a8fcdbf9075f4b9c76caf24cf12f55c66560b4aa08c4b","schema_version":"1.0","event_id":"sha256:a52707e55ac571219a6a8fcdbf9075f4b9c76caf24cf12f55c66560b4aa08c4b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:QBIOSAFCJKI32CKFJ3DBWS3GZE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Blue-tilted Tensor Spectrum and Thermal History of the Universe","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc","hep-ph","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Sachiko Kuroyanagi, Shuichiro Yokoyama, Tomo Takahashi","submitted_at":"2014-07-17T19:30:58Z","abstract_excerpt":"We investigate constraints on the spectral index of primordial gravitational waves (GWs), paying particular attention to a blue-tilted spectrum. Such constraints can be used to test a certain class of models of the early Universe. We investigate observational bounds from LIGO+Virgo, pulsar timing and big bang nucleosynthesis, taking into account the suppression of the amplitude at high frequencies due to reheating after inflation and also late-time entropy production. Constraints on the spectral index are presented by changing values of parameters such as reheating temperatures and the amount "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.4785","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":"2026-05-18T02:26:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NXssgF0zf+LaiqPIwIkcwM6cHD0skVbDWCSshsDjU7foRPwlNXMhVQ4faMhzRoox/d7982hJyzp4+j+E2KJDAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:35:29.897032Z"},"content_sha256":"905ebdff3b2447fd593bc04479d190c2d72d34b11133e0ba901e07572bfbc0cb","schema_version":"1.0","event_id":"sha256:905ebdff3b2447fd593bc04479d190c2d72d34b11133e0ba901e07572bfbc0cb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QBIOSAFCJKI32CKFJ3DBWS3GZE/bundle.json","state_url":"https://pith.science/pith/QBIOSAFCJKI32CKFJ3DBWS3GZE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QBIOSAFCJKI32CKFJ3DBWS3GZE/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":"2026-05-26T12:35:29Z","links":{"resolver":"https://pith.science/pith/QBIOSAFCJKI32CKFJ3DBWS3GZE","bundle":"https://pith.science/pith/QBIOSAFCJKI32CKFJ3DBWS3GZE/bundle.json","state":"https://pith.science/pith/QBIOSAFCJKI32CKFJ3DBWS3GZE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QBIOSAFCJKI32CKFJ3DBWS3GZE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:QBIOSAFCJKI32CKFJ3DBWS3GZE","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":"09a7af07eca3ff67ebb57dcc82117e4c70f7238c374c2c3b4b25137d3239446a","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-07-17T19:30:58Z","title_canon_sha256":"f6f57788cf9d96f99550f272c0f5daffce52633f3520da49ff95a2414491bc78"},"schema_version":"1.0","source":{"id":"1407.4785","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.4785","created_at":"2026-05-18T02:26:45Z"},{"alias_kind":"arxiv_version","alias_value":"1407.4785v1","created_at":"2026-05-18T02:26:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.4785","created_at":"2026-05-18T02:26:45Z"},{"alias_kind":"pith_short_12","alias_value":"QBIOSAFCJKI3","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_16","alias_value":"QBIOSAFCJKI32CKF","created_at":"2026-05-18T12:28:43Z"},{"alias_kind":"pith_short_8","alias_value":"QBIOSAFC","created_at":"2026-05-18T12:28:43Z"}],"graph_snapshots":[{"event_id":"sha256:905ebdff3b2447fd593bc04479d190c2d72d34b11133e0ba901e07572bfbc0cb","target":"graph","created_at":"2026-05-18T02:26:45Z","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 constraints on the spectral index of primordial gravitational waves (GWs), paying particular attention to a blue-tilted spectrum. Such constraints can be used to test a certain class of models of the early Universe. We investigate observational bounds from LIGO+Virgo, pulsar timing and big bang nucleosynthesis, taking into account the suppression of the amplitude at high frequencies due to reheating after inflation and also late-time entropy production. Constraints on the spectral index are presented by changing values of parameters such as reheating temperatures and the amount ","authors_text":"Sachiko Kuroyanagi, Shuichiro Yokoyama, Tomo Takahashi","cross_cats":["gr-qc","hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-07-17T19:30:58Z","title":"Blue-tilted Tensor Spectrum and Thermal History of the Universe"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.4785","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:a52707e55ac571219a6a8fcdbf9075f4b9c76caf24cf12f55c66560b4aa08c4b","target":"record","created_at":"2026-05-18T02:26:45Z","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":"09a7af07eca3ff67ebb57dcc82117e4c70f7238c374c2c3b4b25137d3239446a","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2014-07-17T19:30:58Z","title_canon_sha256":"f6f57788cf9d96f99550f272c0f5daffce52633f3520da49ff95a2414491bc78"},"schema_version":"1.0","source":{"id":"1407.4785","kind":"arxiv","version":1}},"canonical_sha256":"8050e900a24a91bd09454ec61b4b66c9186e2d27dac288d7999b562da29ac967","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8050e900a24a91bd09454ec61b4b66c9186e2d27dac288d7999b562da29ac967","first_computed_at":"2026-05-18T02:26:45.393248Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:45.393248Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rv6+yjog7SxRi8nN+sHdPAFHoH22mpoQH6F0xRIHKJ4lnTBGPRwSaNbjyqPwNY1Ofb+hxmPVEzkT75VdqGBnDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:45.393641Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.4785","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a52707e55ac571219a6a8fcdbf9075f4b9c76caf24cf12f55c66560b4aa08c4b","sha256:905ebdff3b2447fd593bc04479d190c2d72d34b11133e0ba901e07572bfbc0cb"],"state_sha256":"20c61a8d514b0c57fd0db8f58c90a766b4846e2768c4948909e1e00bb3c9e73c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j+afD+bd1ed2GPmiV1beaDPBd1qnN+xcYIvALbKHKHStuEY8BVfF46oFiMi/kuaX9nnQR/W8yVOsfGcTNjL7Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T12:35:29.900856Z","bundle_sha256":"013ea542db4f5f742726c4044714dad1d660fed1f5a51b31626ad9b19dc5f2bc"}}