{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:SZKFVDPYEX6HJA7X6BRMSLY3OS","short_pith_number":"pith:SZKFVDPY","canonical_record":{"source":{"id":"1012.4697","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-12-21T15:44:42Z","cross_cats_sorted":[],"title_canon_sha256":"c685d6e70e5a8e09c775309cfc1d1f3f6609752157fc0b81d44e7c682dbc3cfb","abstract_canon_sha256":"a96eb8cd305df69ff8306ed3cb4a281f120518fb660ef132744288a2406b417e"},"schema_version":"1.0"},"canonical_sha256":"96545a8df825fc7483f7f062c92f1b74a87c4dcf875e1a4b7898a245c7906688","source":{"kind":"arxiv","id":"1012.4697","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.4697","created_at":"2026-05-18T04:23:34Z"},{"alias_kind":"arxiv_version","alias_value":"1012.4697v2","created_at":"2026-05-18T04:23:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.4697","created_at":"2026-05-18T04:23:34Z"},{"alias_kind":"pith_short_12","alias_value":"SZKFVDPYEX6H","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SZKFVDPYEX6HJA7X","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SZKFVDPY","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:SZKFVDPYEX6HJA7X6BRMSLY3OS","target":"record","payload":{"canonical_record":{"source":{"id":"1012.4697","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-12-21T15:44:42Z","cross_cats_sorted":[],"title_canon_sha256":"c685d6e70e5a8e09c775309cfc1d1f3f6609752157fc0b81d44e7c682dbc3cfb","abstract_canon_sha256":"a96eb8cd305df69ff8306ed3cb4a281f120518fb660ef132744288a2406b417e"},"schema_version":"1.0"},"canonical_sha256":"96545a8df825fc7483f7f062c92f1b74a87c4dcf875e1a4b7898a245c7906688","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:23:34.133227Z","signature_b64":"2+b5Q8KRMIrvDYqOFiRr2IzP6pxOFaBNV/u7LG67McoR16Dpg73PagMX+bv3hzHdi37fBLHlinaXMCEbJHmrDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96545a8df825fc7483f7f062c92f1b74a87c4dcf875e1a4b7898a245c7906688","last_reissued_at":"2026-05-18T04:23:34.132401Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:23:34.132401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.4697","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":"2026-05-18T04:23:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hDVRgevAhdu7LYU8JNXFWSJyr4ozpvAMA4qyYeTvBIAjHlg68t9/qKLMV9r687p4MznjA/Tn0HlP99iF6v4fBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T06:31:15.780150Z"},"content_sha256":"b6fa662f1bc9d21e2cacfe3cdca3dd99aa582bb90040cfdb4b4284f87f6decad","schema_version":"1.0","event_id":"sha256:b6fa662f1bc9d21e2cacfe3cdca3dd99aa582bb90040cfdb4b4284f87f6decad"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:SZKFVDPYEX6HJA7X6BRMSLY3OS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constraints on the induced gravitational wave background from primordial black holes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Edgar Bugaev, Peter Klimai","submitted_at":"2010-12-21T15:44:42Z","abstract_excerpt":"We perform a consistent calculation of primordial black hole (PBH) mass spectrum and second-order induced gravitational wave (GW) background produced from primordial scalar perturbations in radiation era of the early Universe. It is shown that the maximal amplitudes of the second order GW spectrum that can be approached without conflicting with the PBH data do not depend significantly on the shape of primordial perturbation spectrum. The constraints on the GW background obtained in previous works are extended to a wider GW frequency range. We discuss the applicability of the currently availabl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.4697","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":""},"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":"2026-05-18T04:23:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T6ejwsPdKg3Uwrf2A49kLoeibSG11PPIdLfOl7rm9SIvBsYzw6BUr1qFPr/IurIwvax8NvwkgVinlY22HfNvAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T06:31:15.780511Z"},"content_sha256":"01f55ea01634d31af35b6ad0918c859901b742e0a8b0d9a09d4e48da8887713b","schema_version":"1.0","event_id":"sha256:01f55ea01634d31af35b6ad0918c859901b742e0a8b0d9a09d4e48da8887713b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SZKFVDPYEX6HJA7X6BRMSLY3OS/bundle.json","state_url":"https://pith.science/pith/SZKFVDPYEX6HJA7X6BRMSLY3OS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SZKFVDPYEX6HJA7X6BRMSLY3OS/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":"2026-06-05T06:31:15Z","links":{"resolver":"https://pith.science/pith/SZKFVDPYEX6HJA7X6BRMSLY3OS","bundle":"https://pith.science/pith/SZKFVDPYEX6HJA7X6BRMSLY3OS/bundle.json","state":"https://pith.science/pith/SZKFVDPYEX6HJA7X6BRMSLY3OS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SZKFVDPYEX6HJA7X6BRMSLY3OS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:SZKFVDPYEX6HJA7X6BRMSLY3OS","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":"a96eb8cd305df69ff8306ed3cb4a281f120518fb660ef132744288a2406b417e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-12-21T15:44:42Z","title_canon_sha256":"c685d6e70e5a8e09c775309cfc1d1f3f6609752157fc0b81d44e7c682dbc3cfb"},"schema_version":"1.0","source":{"id":"1012.4697","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.4697","created_at":"2026-05-18T04:23:34Z"},{"alias_kind":"arxiv_version","alias_value":"1012.4697v2","created_at":"2026-05-18T04:23:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.4697","created_at":"2026-05-18T04:23:34Z"},{"alias_kind":"pith_short_12","alias_value":"SZKFVDPYEX6H","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"SZKFVDPYEX6HJA7X","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"SZKFVDPY","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:01f55ea01634d31af35b6ad0918c859901b742e0a8b0d9a09d4e48da8887713b","target":"graph","created_at":"2026-05-18T04:23:34Z","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 perform a consistent calculation of primordial black hole (PBH) mass spectrum and second-order induced gravitational wave (GW) background produced from primordial scalar perturbations in radiation era of the early Universe. It is shown that the maximal amplitudes of the second order GW spectrum that can be approached without conflicting with the PBH data do not depend significantly on the shape of primordial perturbation spectrum. The constraints on the GW background obtained in previous works are extended to a wider GW frequency range. We discuss the applicability of the currently availabl","authors_text":"Edgar Bugaev, Peter Klimai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-12-21T15:44:42Z","title":"Constraints on the induced gravitational wave background from primordial black holes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.4697","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:b6fa662f1bc9d21e2cacfe3cdca3dd99aa582bb90040cfdb4b4284f87f6decad","target":"record","created_at":"2026-05-18T04:23:34Z","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":"a96eb8cd305df69ff8306ed3cb4a281f120518fb660ef132744288a2406b417e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2010-12-21T15:44:42Z","title_canon_sha256":"c685d6e70e5a8e09c775309cfc1d1f3f6609752157fc0b81d44e7c682dbc3cfb"},"schema_version":"1.0","source":{"id":"1012.4697","kind":"arxiv","version":2}},"canonical_sha256":"96545a8df825fc7483f7f062c92f1b74a87c4dcf875e1a4b7898a245c7906688","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"96545a8df825fc7483f7f062c92f1b74a87c4dcf875e1a4b7898a245c7906688","first_computed_at":"2026-05-18T04:23:34.132401Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:34.132401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2+b5Q8KRMIrvDYqOFiRr2IzP6pxOFaBNV/u7LG67McoR16Dpg73PagMX+bv3hzHdi37fBLHlinaXMCEbJHmrDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:34.133227Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.4697","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b6fa662f1bc9d21e2cacfe3cdca3dd99aa582bb90040cfdb4b4284f87f6decad","sha256:01f55ea01634d31af35b6ad0918c859901b742e0a8b0d9a09d4e48da8887713b"],"state_sha256":"de910c93d050e0f51877b0ceed73b97049e6073e7b4e59065ef32487eac811e1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+UIq2TYR2P9ZeJ/meFU+qN3SXXr1PCglU5VLsNAbESQSWQiuISMDOSE42If+8BftKWsiStxsb33GJACKU9ybBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T06:31:15.782494Z","bundle_sha256":"32ac65bfce5760e7185f0a6c032f8799963d98d8c5392605fe5abf13073a25cc"}}