{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:6NJCML5JNGVXMJ25WWEHLNJUYO","short_pith_number":"pith:6NJCML5J","schema_version":"1.0","canonical_sha256":"f352262fa969ab76275db58875b534c392dc4ac419738941d12f9f5e44713204","source":{"kind":"arxiv","id":"2407.06258","version":1},"attestation_state":"computed","paper":{"title":"Cosmological cutting rules for Bogoliubov initial states","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Diptimoy Ghosh, Enrico Pajer, Farman Ullah","submitted_at":"2024-07-08T18:00:01Z","abstract_excerpt":"The field theoretic wavefunction in cosmological spacetimes has received much attention as a fundamental object underlying the generation of primordial perturbations in our universe. Assuming an initial Bunch-Davies state, unitary time evolution implies an infinite set of cutting rules for the wavefunction to all orders in perturbation theory, collectively known as the cosmological optical theorem. In this work, we generalise these results to the case of Bogoliubov initial states, accounting for both parity-even and parity-odd interactions. We confirm our findings in a few explicit examples, a"},"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":"2407.06258","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2024-07-08T18:00:01Z","cross_cats_sorted":["gr-qc","hep-ph"],"title_canon_sha256":"99e2c409dba155afa44f1d329ed6aad006e8688b04609cbda5d85e7d519c484a","abstract_canon_sha256":"f32ff9f9ffb139e0faf15fb09ee1b4edd880801cbbb949ee0eea368bfd5da6ea"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:58:22.573089Z","signature_b64":"k6sdoL8YoK83XVBrig+0NN/XGW4EC8+ozGBmTQF3WD2tid1e6SaGMgcmx5dn1yQbU5XInyEXg1VnUgliYBBkBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f352262fa969ab76275db58875b534c392dc4ac419738941d12f9f5e44713204","last_reissued_at":"2026-07-05T09:58:22.572593Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:58:22.572593Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Cosmological cutting rules for Bogoliubov initial states","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc","hep-ph"],"primary_cat":"hep-th","authors_text":"Diptimoy Ghosh, Enrico Pajer, Farman Ullah","submitted_at":"2024-07-08T18:00:01Z","abstract_excerpt":"The field theoretic wavefunction in cosmological spacetimes has received much attention as a fundamental object underlying the generation of primordial perturbations in our universe. Assuming an initial Bunch-Davies state, unitary time evolution implies an infinite set of cutting rules for the wavefunction to all orders in perturbation theory, collectively known as the cosmological optical theorem. In this work, we generalise these results to the case of Bogoliubov initial states, accounting for both parity-even and parity-odd interactions. We confirm our findings in a few explicit examples, a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2407.06258","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/2407.06258/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":"2407.06258","created_at":"2026-07-05T09:58:22.572665+00:00"},{"alias_kind":"arxiv_version","alias_value":"2407.06258v1","created_at":"2026-07-05T09:58:22.572665+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2407.06258","created_at":"2026-07-05T09:58:22.572665+00:00"},{"alias_kind":"pith_short_12","alias_value":"6NJCML5JNGVX","created_at":"2026-07-05T09:58:22.572665+00:00"},{"alias_kind":"pith_short_16","alias_value":"6NJCML5JNGVXMJ25","created_at":"2026-07-05T09:58:22.572665+00:00"},{"alias_kind":"pith_short_8","alias_value":"6NJCML5J","created_at":"2026-07-05T09:58:22.572665+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2509.02696","citing_title":"Unitary and Analytic Renormalisation of Cosmological Correlators","ref_index":6,"is_internal_anchor":false},{"citing_arxiv_id":"2509.03656","citing_title":"Loops Outside a Black Hole","ref_index":95,"is_internal_anchor":false},{"citing_arxiv_id":"2605.04166","citing_title":"Long Inflation Screens Euclidean-Wormhole Initial States","ref_index":35,"is_internal_anchor":false},{"citing_arxiv_id":"2604.06145","citing_title":"Massive Exchange and the Sign of the Equilateral Bispectrum","ref_index":30,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/6NJCML5JNGVXMJ25WWEHLNJUYO","json":"https://pith.science/pith/6NJCML5JNGVXMJ25WWEHLNJUYO.json","graph_json":"https://pith.science/api/pith-number/6NJCML5JNGVXMJ25WWEHLNJUYO/graph.json","events_json":"https://pith.science/api/pith-number/6NJCML5JNGVXMJ25WWEHLNJUYO/events.json","paper":"https://pith.science/paper/6NJCML5J"},"agent_actions":{"view_html":"https://pith.science/pith/6NJCML5JNGVXMJ25WWEHLNJUYO","download_json":"https://pith.science/pith/6NJCML5JNGVXMJ25WWEHLNJUYO.json","view_paper":"https://pith.science/paper/6NJCML5J","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2407.06258&json=true","fetch_graph":"https://pith.science/api/pith-number/6NJCML5JNGVXMJ25WWEHLNJUYO/graph.json","fetch_events":"https://pith.science/api/pith-number/6NJCML5JNGVXMJ25WWEHLNJUYO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6NJCML5JNGVXMJ25WWEHLNJUYO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6NJCML5JNGVXMJ25WWEHLNJUYO/action/storage_attestation","attest_author":"https://pith.science/pith/6NJCML5JNGVXMJ25WWEHLNJUYO/action/author_attestation","sign_citation":"https://pith.science/pith/6NJCML5JNGVXMJ25WWEHLNJUYO/action/citation_signature","submit_replication":"https://pith.science/pith/6NJCML5JNGVXMJ25WWEHLNJUYO/action/replication_record"}},"created_at":"2026-07-05T09:58:22.572665+00:00","updated_at":"2026-07-05T09:58:22.572665+00:00"}