{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:HCI65FCDCC2SXCFVXJ7F3XX2R4","short_pith_number":"pith:HCI65FCD","schema_version":"1.0","canonical_sha256":"3891ee944310b52b88b5ba7e5ddefa8f2a2239d26247eb0ab059b88c65c9efa6","source":{"kind":"arxiv","id":"2606.02686","version":1},"attestation_state":"computed","paper":{"title":"On-Shell Bootstrap of Loop Inflation Correlators with Spectral Dispersion","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","hep-ph"],"primary_cat":"hep-th","authors_text":"Haoyuan Liu, Hongyu Zhang, Jiayi Wu, Zhehan Qin, Zhong-Zhi Xianyu","submitted_at":"2026-06-01T18:00:00Z","abstract_excerpt":"We develop a new bootstrap strategy for cosmological correlators at loop level, which we call spectral dispersion. It is based on two conceptual observations that a correlator can be recovered from its on-shell data, also known as nonlocal signals, by analyticity up to local counterterms, and that the on-shell data for a loop process take the form of a discrete sum over quasinormal modes. Technically, our method combines the dS spectral decomposition with dispersion relations. Using this technique, we bootstrap new results in a simple and intuitive form for 3-point and 4-point correlators with"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2606.02686","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2026-06-01T18:00:00Z","cross_cats_sorted":["astro-ph.CO","hep-ph"],"title_canon_sha256":"0f059ed9a7d02839ee572490cee8ac6b8cccac027b98328732ff2dce5fa4a261","abstract_canon_sha256":"58257b44c9b909800d29da97bee7bceeb576576d8ae9590033a4d47d5b13e1e8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T00:05:06.438426Z","signature_b64":"osDxCReTwqE5oPu8D2K1tgChC3eDK1onFF/cXpQQBD5ryCSZdxFEE6muamsoJXQBLy4GIiPexyzXmg98kekXAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3891ee944310b52b88b5ba7e5ddefa8f2a2239d26247eb0ab059b88c65c9efa6","last_reissued_at":"2026-06-03T00:05:06.438012Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T00:05:06.438012Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On-Shell Bootstrap of Loop Inflation Correlators with Spectral Dispersion","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["astro-ph.CO","hep-ph"],"primary_cat":"hep-th","authors_text":"Haoyuan Liu, Hongyu Zhang, Jiayi Wu, Zhehan Qin, Zhong-Zhi Xianyu","submitted_at":"2026-06-01T18:00:00Z","abstract_excerpt":"We develop a new bootstrap strategy for cosmological correlators at loop level, which we call spectral dispersion. It is based on two conceptual observations that a correlator can be recovered from its on-shell data, also known as nonlocal signals, by analyticity up to local counterterms, and that the on-shell data for a loop process take the form of a discrete sum over quasinormal modes. Technically, our method combines the dS spectral decomposition with dispersion relations. Using this technique, we bootstrap new results in a simple and intuitive form for 3-point and 4-point correlators with"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.02686","kind":"arxiv","version":1},"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/2606.02686/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2606.02686","created_at":"2026-06-03T00:05:06.438067+00:00"},{"alias_kind":"arxiv_version","alias_value":"2606.02686v1","created_at":"2026-06-03T00:05:06.438067+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.02686","created_at":"2026-06-03T00:05:06.438067+00:00"},{"alias_kind":"pith_short_12","alias_value":"HCI65FCDCC2S","created_at":"2026-06-03T00:05:06.438067+00:00"},{"alias_kind":"pith_short_16","alias_value":"HCI65FCDCC2SXCFV","created_at":"2026-06-03T00:05:06.438067+00:00"},{"alias_kind":"pith_short_8","alias_value":"HCI65FCD","created_at":"2026-06-03T00:05:06.438067+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HCI65FCDCC2SXCFVXJ7F3XX2R4","json":"https://pith.science/pith/HCI65FCDCC2SXCFVXJ7F3XX2R4.json","graph_json":"https://pith.science/api/pith-number/HCI65FCDCC2SXCFVXJ7F3XX2R4/graph.json","events_json":"https://pith.science/api/pith-number/HCI65FCDCC2SXCFVXJ7F3XX2R4/events.json","paper":"https://pith.science/paper/HCI65FCD"},"agent_actions":{"view_html":"https://pith.science/pith/HCI65FCDCC2SXCFVXJ7F3XX2R4","download_json":"https://pith.science/pith/HCI65FCDCC2SXCFVXJ7F3XX2R4.json","view_paper":"https://pith.science/paper/HCI65FCD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2606.02686&json=true","fetch_graph":"https://pith.science/api/pith-number/HCI65FCDCC2SXCFVXJ7F3XX2R4/graph.json","fetch_events":"https://pith.science/api/pith-number/HCI65FCDCC2SXCFVXJ7F3XX2R4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HCI65FCDCC2SXCFVXJ7F3XX2R4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HCI65FCDCC2SXCFVXJ7F3XX2R4/action/storage_attestation","attest_author":"https://pith.science/pith/HCI65FCDCC2SXCFVXJ7F3XX2R4/action/author_attestation","sign_citation":"https://pith.science/pith/HCI65FCDCC2SXCFVXJ7F3XX2R4/action/citation_signature","submit_replication":"https://pith.science/pith/HCI65FCDCC2SXCFVXJ7F3XX2R4/action/replication_record"}},"created_at":"2026-06-03T00:05:06.438067+00:00","updated_at":"2026-06-03T00:05:06.438067+00:00"}