{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:KD2KSUR7G2BXKAHZDUFKE4ES7J","short_pith_number":"pith:KD2KSUR7","canonical_record":{"source":{"id":"1805.12304","kind":"arxiv","version":10},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-31T03:23:17Z","cross_cats_sorted":[],"title_canon_sha256":"5bbb156dd78d53b47eea0038bded2b3933c3ec38f9606a05d5db4195e2fb827c","abstract_canon_sha256":"5943efc79ad0aae881dd66d7046ff248cfa9b69afcb9f525f64e2037836dcfa3"},"schema_version":"1.0"},"canonical_sha256":"50f4a9523f36837500f91d0aa27092fa6080a0b84c613508877c97ed47954d2b","source":{"kind":"arxiv","id":"1805.12304","version":10},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.12304","created_at":"2026-05-17T23:42:14Z"},{"alias_kind":"arxiv_version","alias_value":"1805.12304v10","created_at":"2026-05-17T23:42:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.12304","created_at":"2026-05-17T23:42:14Z"},{"alias_kind":"pith_short_12","alias_value":"KD2KSUR7G2BX","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KD2KSUR7G2BXKAHZ","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KD2KSUR7","created_at":"2026-05-18T12:32:33Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:KD2KSUR7G2BXKAHZDUFKE4ES7J","target":"record","payload":{"canonical_record":{"source":{"id":"1805.12304","kind":"arxiv","version":10},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-31T03:23:17Z","cross_cats_sorted":[],"title_canon_sha256":"5bbb156dd78d53b47eea0038bded2b3933c3ec38f9606a05d5db4195e2fb827c","abstract_canon_sha256":"5943efc79ad0aae881dd66d7046ff248cfa9b69afcb9f525f64e2037836dcfa3"},"schema_version":"1.0"},"canonical_sha256":"50f4a9523f36837500f91d0aa27092fa6080a0b84c613508877c97ed47954d2b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:42:14.086732Z","signature_b64":"mHut6voVQ1sG3+qrr2tF2IZzYHbzubBKTov7ro6Hi6G0NyzyF2alV4k+7QvUbRKlrAODk670Y9eDVevJqzzACA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"50f4a9523f36837500f91d0aa27092fa6080a0b84c613508877c97ed47954d2b","last_reissued_at":"2026-05-17T23:42:14.086250Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:42:14.086250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.12304","source_version":10,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:42:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ESBkosGd1t8mRAwujS326ibfD0SzruLSMfe8duc9bQJ/zdDcqiTblM6/WSUv+7xiQMbsTa8Rdw5nrdbD/KmrBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T13:23:57.520309Z"},"content_sha256":"bb9e00808351b8118dbdb5eeb3a227cd60b202bfc60969b5b6c0e371e6349ac5","schema_version":"1.0","event_id":"sha256:bb9e00808351b8118dbdb5eeb3a227cd60b202bfc60969b5b6c0e371e6349ac5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:KD2KSUR7G2BXKAHZDUFKE4ES7J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adiabatic regularization of power spectrum and stress tensor of relic gravitational wave without low-frequency distortion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Bo Wang, Yang Zhang","submitted_at":"2018-05-31T03:23:17Z","abstract_excerpt":"Adiabatic regularization is a method to remove UV divergences in quantum fields in curved spacetime. For relic gravitational wave generated during inflation, regularization on all $k$-modes of the power spectrum to 2nd adiabatic order, and of the energy density and pressure to 4th order, respectively, causes low-frequency distortions. To avoid these, we regularize only the short modes inside the horizon during inflation (corresponding to the present frequencies $f \\gtrsim 10^{9}$Hz), and keep the long modes intact. Doing this does not violate the energy conservation since the $k$-modes of RGW "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.12304","kind":"arxiv","version":10},"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":"2026-05-17T23:42:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"a/zLU06cysGqcgelW181mpsCzGQ26TQfol6K+d2d+LOOAJiNlFDDBJnMoj6hDeYTJZ7gSwHRgdI9S0R7+bCIDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T13:23:57.521026Z"},"content_sha256":"20dc49ce7f4a6e145cfb84ad234eb5318a08f32d3ed16152f55632a9e53d2f45","schema_version":"1.0","event_id":"sha256:20dc49ce7f4a6e145cfb84ad234eb5318a08f32d3ed16152f55632a9e53d2f45"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KD2KSUR7G2BXKAHZDUFKE4ES7J/bundle.json","state_url":"https://pith.science/pith/KD2KSUR7G2BXKAHZDUFKE4ES7J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KD2KSUR7G2BXKAHZDUFKE4ES7J/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":"2026-06-06T13:23:57Z","links":{"resolver":"https://pith.science/pith/KD2KSUR7G2BXKAHZDUFKE4ES7J","bundle":"https://pith.science/pith/KD2KSUR7G2BXKAHZDUFKE4ES7J/bundle.json","state":"https://pith.science/pith/KD2KSUR7G2BXKAHZDUFKE4ES7J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KD2KSUR7G2BXKAHZDUFKE4ES7J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KD2KSUR7G2BXKAHZDUFKE4ES7J","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":"5943efc79ad0aae881dd66d7046ff248cfa9b69afcb9f525f64e2037836dcfa3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-31T03:23:17Z","title_canon_sha256":"5bbb156dd78d53b47eea0038bded2b3933c3ec38f9606a05d5db4195e2fb827c"},"schema_version":"1.0","source":{"id":"1805.12304","kind":"arxiv","version":10}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.12304","created_at":"2026-05-17T23:42:14Z"},{"alias_kind":"arxiv_version","alias_value":"1805.12304v10","created_at":"2026-05-17T23:42:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.12304","created_at":"2026-05-17T23:42:14Z"},{"alias_kind":"pith_short_12","alias_value":"KD2KSUR7G2BX","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KD2KSUR7G2BXKAHZ","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KD2KSUR7","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:20dc49ce7f4a6e145cfb84ad234eb5318a08f32d3ed16152f55632a9e53d2f45","target":"graph","created_at":"2026-05-17T23:42:14Z","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":"Adiabatic regularization is a method to remove UV divergences in quantum fields in curved spacetime. For relic gravitational wave generated during inflation, regularization on all $k$-modes of the power spectrum to 2nd adiabatic order, and of the energy density and pressure to 4th order, respectively, causes low-frequency distortions. To avoid these, we regularize only the short modes inside the horizon during inflation (corresponding to the present frequencies $f \\gtrsim 10^{9}$Hz), and keep the long modes intact. Doing this does not violate the energy conservation since the $k$-modes of RGW ","authors_text":"Bo Wang, Yang Zhang","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-31T03:23:17Z","title":"Adiabatic regularization of power spectrum and stress tensor of relic gravitational wave without low-frequency distortion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.12304","kind":"arxiv","version":10},"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:bb9e00808351b8118dbdb5eeb3a227cd60b202bfc60969b5b6c0e371e6349ac5","target":"record","created_at":"2026-05-17T23:42:14Z","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":"5943efc79ad0aae881dd66d7046ff248cfa9b69afcb9f525f64e2037836dcfa3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2018-05-31T03:23:17Z","title_canon_sha256":"5bbb156dd78d53b47eea0038bded2b3933c3ec38f9606a05d5db4195e2fb827c"},"schema_version":"1.0","source":{"id":"1805.12304","kind":"arxiv","version":10}},"canonical_sha256":"50f4a9523f36837500f91d0aa27092fa6080a0b84c613508877c97ed47954d2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"50f4a9523f36837500f91d0aa27092fa6080a0b84c613508877c97ed47954d2b","first_computed_at":"2026-05-17T23:42:14.086250Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:42:14.086250Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mHut6voVQ1sG3+qrr2tF2IZzYHbzubBKTov7ro6Hi6G0NyzyF2alV4k+7QvUbRKlrAODk670Y9eDVevJqzzACA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:42:14.086732Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.12304","source_kind":"arxiv","source_version":10}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bb9e00808351b8118dbdb5eeb3a227cd60b202bfc60969b5b6c0e371e6349ac5","sha256:20dc49ce7f4a6e145cfb84ad234eb5318a08f32d3ed16152f55632a9e53d2f45"],"state_sha256":"7b61530438b3e348be1e88a11961b06049541ce44b80ad65c5a011cf70b7cc91"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WExgTDQhDLqZHVGQ3K5PIqfNI4WcG77o/Dxb0OiHpA1iEaEqHz+OFHdai85g3xnBEnnj4AbskDnYuTrZCaGsAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T13:23:57.524825Z","bundle_sha256":"f057c2e20aa19718cd04b859c02e16b6827175c96c4311110242bfce838d6069"}}