{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:JSPFJWMR7JQZQSEPXNHAXNANY2","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":"80dae666289693dba5cf09fe425090209c02e108fc17034e846b0bf73b548e91","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-07-13T13:53:15Z","title_canon_sha256":"7dea9a43e9d296d7ad1fe7eae00fd3428fbdf9799c3e212aa8dc4b92a1b8d646"},"schema_version":"1.0","source":{"id":"2307.06757","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2307.06757","created_at":"2026-07-05T06:42:06Z"},{"alias_kind":"arxiv_version","alias_value":"2307.06757v2","created_at":"2026-07-05T06:42:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.06757","created_at":"2026-07-05T06:42:06Z"},{"alias_kind":"pith_short_12","alias_value":"JSPFJWMR7JQZ","created_at":"2026-07-05T06:42:06Z"},{"alias_kind":"pith_short_16","alias_value":"JSPFJWMR7JQZQSEP","created_at":"2026-07-05T06:42:06Z"},{"alias_kind":"pith_short_8","alias_value":"JSPFJWMR","created_at":"2026-07-05T06:42:06Z"}],"graph_snapshots":[{"event_id":"sha256:81ff310adf043b130f806b36a345d2e711de7c5e0c9d6c0e76993882b0296438","target":"graph","created_at":"2026-07-05T06:42:06Z","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/2307.06757/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we propose a novel mechanism in $\\mathbb{T}^2$-inflation to enhance the power spectrum large enough to seed primordial black holes (PBHs) formation. To accomplish this, we consider the coupling function between the inflaton field and $\\mathbb{T}^2= T_{\\mu \\nu}T^{\\mu \\nu}$ term. PBHs formed within this scenario can contribute partially or entirely to dark matter (DM) abundance. Furthermore, the amplification in the scalar power spectrum will concurrently produce significant scalar-induced gravitational waves (SIGWs) as a second-order effect. In addition, the energy spectrum assoc","authors_text":"Alireza Talebian, Fereshteh Felegray, Mohammad Sami, Seyed Ali Hosseini Mansoori","cross_cats":["gr-qc","hep-th"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-07-13T13:53:15Z","title":"PBHs and GWs from $\\mathbb{T}^2$-inflation and NANOGrav 15-year data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.06757","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:ea86e893a01d9e71140fe730f9d31e2fa6a1deb99163166110902425712ba8b4","target":"record","created_at":"2026-07-05T06:42:06Z","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":"80dae666289693dba5cf09fe425090209c02e108fc17034e846b0bf73b548e91","cross_cats_sorted":["gr-qc","hep-th"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.CO","submitted_at":"2023-07-13T13:53:15Z","title_canon_sha256":"7dea9a43e9d296d7ad1fe7eae00fd3428fbdf9799c3e212aa8dc4b92a1b8d646"},"schema_version":"1.0","source":{"id":"2307.06757","kind":"arxiv","version":2}},"canonical_sha256":"4c9e54d991fa6198488fbb4e0bb40dc6bcd95c0cbe5530b1fb33ebe197089e7a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4c9e54d991fa6198488fbb4e0bb40dc6bcd95c0cbe5530b1fb33ebe197089e7a","first_computed_at":"2026-07-05T06:42:06.796779Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:42:06.796779Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KeCZdCqpDBrrAX4jcwUNC82fD0P/gAubja0ZIfGnFhRwDglfExXzkkv1Ddw5dlmNwi9/HRnwp5PT/JSAZeirDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:42:06.797178Z","signed_message":"canonical_sha256_bytes"},"source_id":"2307.06757","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ea86e893a01d9e71140fe730f9d31e2fa6a1deb99163166110902425712ba8b4","sha256:81ff310adf043b130f806b36a345d2e711de7c5e0c9d6c0e76993882b0296438"],"state_sha256":"8c9f28fbc8ae40930daab7054a88779189fcbfc4b7acb96970d78bab658a6e6e"}