{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:LMID44FPEMO5STTRKMDNYCIIMK","short_pith_number":"pith:LMID44FP","canonical_record":{"source":{"id":"0906.1398","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-06-08T00:24:07Z","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"title_canon_sha256":"f213c36d124e11438a4b674ad685dcc2297eb3ba14fc4f8d7b099262c0c80473","abstract_canon_sha256":"080135b8ad64a2b6fab35db77018911545c4564a6231cfc4d4614e3da4947a6d"},"schema_version":"1.0"},"canonical_sha256":"5b103e70af231dd94e715306dc090862b4ea44092d2edd23f4a6a200c74638d5","source":{"kind":"arxiv","id":"0906.1398","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.1398","created_at":"2026-07-04T15:50:23Z"},{"alias_kind":"arxiv_version","alias_value":"0906.1398v3","created_at":"2026-07-04T15:50:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.1398","created_at":"2026-07-04T15:50:23Z"},{"alias_kind":"pith_short_12","alias_value":"LMID44FPEMO5","created_at":"2026-07-04T15:50:23Z"},{"alias_kind":"pith_short_16","alias_value":"LMID44FPEMO5STTR","created_at":"2026-07-04T15:50:23Z"},{"alias_kind":"pith_short_8","alias_value":"LMID44FP","created_at":"2026-07-04T15:50:23Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:LMID44FPEMO5STTRKMDNYCIIMK","target":"record","payload":{"canonical_record":{"source":{"id":"0906.1398","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2009-06-08T00:24:07Z","cross_cats_sorted":["gr-qc","hep-ph","hep-th"],"title_canon_sha256":"f213c36d124e11438a4b674ad685dcc2297eb3ba14fc4f8d7b099262c0c80473","abstract_canon_sha256":"080135b8ad64a2b6fab35db77018911545c4564a6231cfc4d4614e3da4947a6d"},"schema_version":"1.0"},"canonical_sha256":"5b103e70af231dd94e715306dc090862b4ea44092d2edd23f4a6a200c74638d5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:50:23.079411Z","signature_b64":"kzlEE9WeWlIKaLYe9uO7yxLERlXyhsl2JNlFDuXj3IGVhf6ueqfZSf+DV5goVwoTO4HQJfklajTc2NezOMh7Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b103e70af231dd94e715306dc090862b4ea44092d2edd23f4a6a200c74638d5","last_reissued_at":"2026-07-04T15:50:23.079030Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:50:23.079030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0906.1398","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:50:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QCBqecImZiu1YxRzQ0aweZ2MTa1V/5cttOl83IY7z+sYQ0ZcYG8l9hIFabQw/mzH5YLnFjZnbR35dYlUx4xACg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T16:20:43.857937Z"},"content_sha256":"c91b051549f1c085148d5fee3b51d0bb9f51b9529628445687908f0cd5933b34","schema_version":"1.0","event_id":"sha256:c91b051549f1c085148d5fee3b51d0bb9f51b9529628445687908f0cd5933b34"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:LMID44FPEMO5STTRKMDNYCIIMK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Generating Primordial Black Holes Via Hilltop-Type Inflation Models","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":"Kazunori Kohri, Laila Alabidi","submitted_at":"2009-06-08T00:24:07Z","abstract_excerpt":"It has been shown that black holes would have formed in the early Universe if, on any given scale, the spectral amplitude of the Cosmic Microwave Background (CMB) exceeds 10^(-4). This value is within the bounds allowed by astrophysical phenomena for the small scale spectrum of the CMB, corresponding to scales which exit the horizon at the end of slow-roll inflation. Previous work by Kohri et. al. (2007) showed that for black holes to form from a single field model of inflation, the slope of the potential at the end of inflation must be flatter than it was at horizon exit. In this work we show"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.1398","kind":"arxiv","version":3},"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/0906.1398/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":"2026-07-04T15:50:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z5zAn1ArP/LddCfJPpU2EWx6Y98pzZoLnPYrPFPSnm/vfC/CAfCMivvTx8mRITb46euIW/8OV/djIk5vy0xoCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-08T16:20:43.858310Z"},"content_sha256":"76970841daa45786cffcc0c739e7ac4ae558da0f7ba3d8e02151e12b0db02e3d","schema_version":"1.0","event_id":"sha256:76970841daa45786cffcc0c739e7ac4ae558da0f7ba3d8e02151e12b0db02e3d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LMID44FPEMO5STTRKMDNYCIIMK/bundle.json","state_url":"https://pith.science/pith/LMID44FPEMO5STTRKMDNYCIIMK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LMID44FPEMO5STTRKMDNYCIIMK/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":"2026-07-08T16:20:43Z","links":{"resolver":"https://pith.science/pith/LMID44FPEMO5STTRKMDNYCIIMK","bundle":"https://pith.science/pith/LMID44FPEMO5STTRKMDNYCIIMK/bundle.json","state":"https://pith.science/pith/LMID44FPEMO5STTRKMDNYCIIMK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LMID44FPEMO5STTRKMDNYCIIMK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:LMID44FPEMO5STTRKMDNYCIIMK","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":"080135b8ad64a2b6fab35db77018911545c4564a6231cfc4d4614e3da4947a6d","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":"2009-06-08T00:24:07Z","title_canon_sha256":"f213c36d124e11438a4b674ad685dcc2297eb3ba14fc4f8d7b099262c0c80473"},"schema_version":"1.0","source":{"id":"0906.1398","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0906.1398","created_at":"2026-07-04T15:50:23Z"},{"alias_kind":"arxiv_version","alias_value":"0906.1398v3","created_at":"2026-07-04T15:50:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0906.1398","created_at":"2026-07-04T15:50:23Z"},{"alias_kind":"pith_short_12","alias_value":"LMID44FPEMO5","created_at":"2026-07-04T15:50:23Z"},{"alias_kind":"pith_short_16","alias_value":"LMID44FPEMO5STTR","created_at":"2026-07-04T15:50:23Z"},{"alias_kind":"pith_short_8","alias_value":"LMID44FP","created_at":"2026-07-04T15:50:23Z"}],"graph_snapshots":[{"event_id":"sha256:76970841daa45786cffcc0c739e7ac4ae558da0f7ba3d8e02151e12b0db02e3d","target":"graph","created_at":"2026-07-04T15:50:23Z","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/0906.1398/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"It has been shown that black holes would have formed in the early Universe if, on any given scale, the spectral amplitude of the Cosmic Microwave Background (CMB) exceeds 10^(-4). This value is within the bounds allowed by astrophysical phenomena for the small scale spectrum of the CMB, corresponding to scales which exit the horizon at the end of slow-roll inflation. Previous work by Kohri et. al. (2007) showed that for black holes to form from a single field model of inflation, the slope of the potential at the end of inflation must be flatter than it was at horizon exit. In this work we show","authors_text":"Kazunori Kohri, Laila Alabidi","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":"2009-06-08T00:24:07Z","title":"Generating Primordial Black Holes Via Hilltop-Type Inflation Models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0906.1398","kind":"arxiv","version":3},"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:c91b051549f1c085148d5fee3b51d0bb9f51b9529628445687908f0cd5933b34","target":"record","created_at":"2026-07-04T15:50:23Z","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":"080135b8ad64a2b6fab35db77018911545c4564a6231cfc4d4614e3da4947a6d","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":"2009-06-08T00:24:07Z","title_canon_sha256":"f213c36d124e11438a4b674ad685dcc2297eb3ba14fc4f8d7b099262c0c80473"},"schema_version":"1.0","source":{"id":"0906.1398","kind":"arxiv","version":3}},"canonical_sha256":"5b103e70af231dd94e715306dc090862b4ea44092d2edd23f4a6a200c74638d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b103e70af231dd94e715306dc090862b4ea44092d2edd23f4a6a200c74638d5","first_computed_at":"2026-07-04T15:50:23.079030Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:50:23.079030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kzlEE9WeWlIKaLYe9uO7yxLERlXyhsl2JNlFDuXj3IGVhf6ueqfZSf+DV5goVwoTO4HQJfklajTc2NezOMh7Bw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:50:23.079411Z","signed_message":"canonical_sha256_bytes"},"source_id":"0906.1398","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c91b051549f1c085148d5fee3b51d0bb9f51b9529628445687908f0cd5933b34","sha256:76970841daa45786cffcc0c739e7ac4ae558da0f7ba3d8e02151e12b0db02e3d"],"state_sha256":"45cd2222427f4191800796c00a949681bfa7585360f14644e5d9631baea68c42"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CmDGSyOKzRTMzVaUkLn7BlUpyNeN57GVwBxo+Ndw/GvLi92qPR0lpUp2Eumcb1Io1GUaM4yglLIneHwLBJK+BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-08T16:20:43.860342Z","bundle_sha256":"71437f5eae0c661b9b3004736e1d02c7d0999b071018086993c6649996b6974d"}}