{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:C426RJXMNBJ7NHUOOMW3LTBVYI","short_pith_number":"pith:C426RJXM","canonical_record":{"source":{"id":"2007.07915","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2020-07-15T18:00:06Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"126548a5ce8ff4e3dc7c2d8a6c641e75e9133ef6d2b42a708c9e56b99f2dadca","abstract_canon_sha256":"065d9af1bed78b7ae4e200be3175de0c7fdf14f9bbfac71168718ba63df8290d"},"schema_version":"1.0"},"canonical_sha256":"1735e8a6ec6853f69e8e732db5cc35c226c2659518d720ae066ecd81122cbac8","source":{"kind":"arxiv","id":"2007.07915","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.07915","created_at":"2026-07-05T02:06:10Z"},{"alias_kind":"arxiv_version","alias_value":"2007.07915v2","created_at":"2026-07-05T02:06:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.07915","created_at":"2026-07-05T02:06:10Z"},{"alias_kind":"pith_short_12","alias_value":"C426RJXMNBJ7","created_at":"2026-07-05T02:06:10Z"},{"alias_kind":"pith_short_16","alias_value":"C426RJXMNBJ7NHUO","created_at":"2026-07-05T02:06:10Z"},{"alias_kind":"pith_short_8","alias_value":"C426RJXM","created_at":"2026-07-05T02:06:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:C426RJXMNBJ7NHUOOMW3LTBVYI","target":"record","payload":{"canonical_record":{"source":{"id":"2007.07915","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2020-07-15T18:00:06Z","cross_cats_sorted":["gr-qc","hep-th"],"title_canon_sha256":"126548a5ce8ff4e3dc7c2d8a6c641e75e9133ef6d2b42a708c9e56b99f2dadca","abstract_canon_sha256":"065d9af1bed78b7ae4e200be3175de0c7fdf14f9bbfac71168718ba63df8290d"},"schema_version":"1.0"},"canonical_sha256":"1735e8a6ec6853f69e8e732db5cc35c226c2659518d720ae066ecd81122cbac8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:06:10.790929Z","signature_b64":"n0F0l0UVhlZL25PLDCKtPzxqZk5AVw/L/3fYJkD/KeUIJLm683Ed/yMaHXauSf+vgCSCOEahZ6y6EFyPgqNPAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1735e8a6ec6853f69e8e732db5cc35c226c2659518d720ae066ecd81122cbac8","last_reissued_at":"2026-07-05T02:06:10.790399Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:06:10.790399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2007.07915","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T02:06:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XNgrmemqBZYF0so4jENP5bZ1wXdAppbDIL4qFVG+l6E0clEtHRhUbdGAL8Z1lz9TR2tqVP6u3/ZW96XfrlffDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T12:35:36.826350Z"},"content_sha256":"192289922763f9d324853b411ee3e88cc4f363a0d1490a089a4078d3818019e9","schema_version":"1.0","event_id":"sha256:192289922763f9d324853b411ee3e88cc4f363a0d1490a089a4078d3818019e9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:C426RJXMNBJ7NHUOOMW3LTBVYI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exploring the Spectral Shape of Gravitational Waves Induced by Primordial Scalar Perturbations and Connection with the Primordial Black Hole Scenarios","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Ioannis Dalianis, Konstantinos Kritos","submitted_at":"2020-07-15T18:00:06Z","abstract_excerpt":"There is a growing expectation that the gravitational wave detectors will start probing the stochastic gravitational wave backgrounds in the following years. We explore the spectral shapes of gravitational waves induced to second order by scalar perturbations and presumably have been produced in the early universe. We calculate the gravitational wave spectra generated during radiation and kination eras together with the associated primordial black hole counterpart. We employ power spectra for the primordial curvature perturbation generated by $\\alpha$-attractors and nonminimal derivative coupl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.07915","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2007.07915/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:06:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+Oq2R2qKRzaPzDq924ToNWnIkdUxelFRzoHnu4tEhWtkedtRABSW0wXIs0DoqZSpbuGA0DmG9s4mV6s+kegBAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T12:35:36.828096Z"},"content_sha256":"3c83b2d97951093952629926007b13d522d98e4c21cffd32a96b2add2b9e9bf7","schema_version":"1.0","event_id":"sha256:3c83b2d97951093952629926007b13d522d98e4c21cffd32a96b2add2b9e9bf7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C426RJXMNBJ7NHUOOMW3LTBVYI/bundle.json","state_url":"https://pith.science/pith/C426RJXMNBJ7NHUOOMW3LTBVYI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C426RJXMNBJ7NHUOOMW3LTBVYI/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":"2026-08-05T12:35:36Z","links":{"resolver":"https://pith.science/pith/C426RJXMNBJ7NHUOOMW3LTBVYI","bundle":"https://pith.science/pith/C426RJXMNBJ7NHUOOMW3LTBVYI/bundle.json","state":"https://pith.science/pith/C426RJXMNBJ7NHUOOMW3LTBVYI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C426RJXMNBJ7NHUOOMW3LTBVYI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:C426RJXMNBJ7NHUOOMW3LTBVYI","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":"065d9af1bed78b7ae4e200be3175de0c7fdf14f9bbfac71168718ba63df8290d","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2020-07-15T18:00:06Z","title_canon_sha256":"126548a5ce8ff4e3dc7c2d8a6c641e75e9133ef6d2b42a708c9e56b99f2dadca"},"schema_version":"1.0","source":{"id":"2007.07915","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2007.07915","created_at":"2026-07-05T02:06:10Z"},{"alias_kind":"arxiv_version","alias_value":"2007.07915v2","created_at":"2026-07-05T02:06:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.07915","created_at":"2026-07-05T02:06:10Z"},{"alias_kind":"pith_short_12","alias_value":"C426RJXMNBJ7","created_at":"2026-07-05T02:06:10Z"},{"alias_kind":"pith_short_16","alias_value":"C426RJXMNBJ7NHUO","created_at":"2026-07-05T02:06:10Z"},{"alias_kind":"pith_short_8","alias_value":"C426RJXM","created_at":"2026-07-05T02:06:10Z"}],"graph_snapshots":[{"event_id":"sha256:3c83b2d97951093952629926007b13d522d98e4c21cffd32a96b2add2b9e9bf7","target":"graph","created_at":"2026-07-05T02:06:10Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2007.07915/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"There is a growing expectation that the gravitational wave detectors will start probing the stochastic gravitational wave backgrounds in the following years. We explore the spectral shapes of gravitational waves induced to second order by scalar perturbations and presumably have been produced in the early universe. We calculate the gravitational wave spectra generated during radiation and kination eras together with the associated primordial black hole counterpart. We employ power spectra for the primordial curvature perturbation generated by $\\alpha$-attractors and nonminimal derivative coupl","authors_text":"Ioannis Dalianis, Konstantinos Kritos","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2020-07-15T18:00:06Z","title":"Exploring the Spectral Shape of Gravitational Waves Induced by Primordial Scalar Perturbations and Connection with the Primordial Black Hole Scenarios"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.07915","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":"sha256:192289922763f9d324853b411ee3e88cc4f363a0d1490a089a4078d3818019e9","target":"record","created_at":"2026-07-05T02:06:10Z","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":"065d9af1bed78b7ae4e200be3175de0c7fdf14f9bbfac71168718ba63df8290d","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2020-07-15T18:00:06Z","title_canon_sha256":"126548a5ce8ff4e3dc7c2d8a6c641e75e9133ef6d2b42a708c9e56b99f2dadca"},"schema_version":"1.0","source":{"id":"2007.07915","kind":"arxiv","version":2}},"canonical_sha256":"1735e8a6ec6853f69e8e732db5cc35c226c2659518d720ae066ecd81122cbac8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1735e8a6ec6853f69e8e732db5cc35c226c2659518d720ae066ecd81122cbac8","first_computed_at":"2026-07-05T02:06:10.790399Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:06:10.790399Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n0F0l0UVhlZL25PLDCKtPzxqZk5AVw/L/3fYJkD/KeUIJLm683Ed/yMaHXauSf+vgCSCOEahZ6y6EFyPgqNPAw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:06:10.790929Z","signed_message":"canonical_sha256_bytes"},"source_id":"2007.07915","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:192289922763f9d324853b411ee3e88cc4f363a0d1490a089a4078d3818019e9","sha256:3c83b2d97951093952629926007b13d522d98e4c21cffd32a96b2add2b9e9bf7"],"state_sha256":"6926b48fd06b3107e7ba05eb76544a0a327a0184c8760742264136aebc892ddc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sAYFTZWRLoMjScsr71id8G+H6JHHcploUO2HKxW9+tEEn5tAqKELQnY23CH7PeEmJT391IXmUDs71mi4x0VBAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T12:35:36.841131Z","bundle_sha256":"9e9a9b8f66c843f151f8e7bd3c0776827fa0179735e6472d068a9db14d6d1578"}}