{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:RRDVYLHW4DQFJBCM2DROLZ27RK","short_pith_number":"pith:RRDVYLHW","schema_version":"1.0","canonical_sha256":"8c475c2cf6e0e054844cd0e2e5e75f8ab6df827b8fef1c0572c6aee38478f8e8","source":{"kind":"arxiv","id":"2007.09993","version":1},"attestation_state":"computed","paper":{"title":"From AdS to dS Exchanges: Spectral Representation, Mellin Amplitudes and Crossing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Charlotte Sleight, Massimo Taronna","submitted_at":"2020-07-20T10:38:01Z","abstract_excerpt":"We present a simple general relation between tree-level exchanges in AdS and dS. This relation allows to directly import techniques and results for AdS Witten diagrams, both in position and momentum space, to boundary correlation functions in dS. In this work we apply this relation to define Mellin amplitudes and a spectral representation for exchanges in dS. We also derive the conformal block decomposition of a dS exchange, both in the direct and crossed channels, from their AdS counterparts. The relation between AdS and dS exchanges itself is derived using a recently introduced Mellin-Barnes"},"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":"2007.09993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-07-20T10:38:01Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"875ad8cd298db91bbb5a3db10600c4ddc197b8e195e57412487ce47532847012","abstract_canon_sha256":"58d84eaa75bb024eee4c914ed431bdcf0de23724dd8b21d2e87a5ce1276d8d17"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:28:09.911856Z","signature_b64":"INbkotwc6F0OCFqeS7uTiGGr3H7HLC2p916woDjrYrouMuFBJfCcmE7G5OGZHYnTMcf7gVbgDR6g+Jp/6vo/BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c475c2cf6e0e054844cd0e2e5e75f8ab6df827b8fef1c0572c6aee38478f8e8","last_reissued_at":"2026-07-05T03:28:09.911407Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:28:09.911407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"From AdS to dS Exchanges: Spectral Representation, Mellin Amplitudes and Crossing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Charlotte Sleight, Massimo Taronna","submitted_at":"2020-07-20T10:38:01Z","abstract_excerpt":"We present a simple general relation between tree-level exchanges in AdS and dS. This relation allows to directly import techniques and results for AdS Witten diagrams, both in position and momentum space, to boundary correlation functions in dS. In this work we apply this relation to define Mellin amplitudes and a spectral representation for exchanges in dS. We also derive the conformal block decomposition of a dS exchange, both in the direct and crossed channels, from their AdS counterparts. The relation between AdS and dS exchanges itself is derived using a recently introduced Mellin-Barnes"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2007.09993","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/2007.09993/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":"2007.09993","created_at":"2026-07-05T03:28:09.911473+00:00"},{"alias_kind":"arxiv_version","alias_value":"2007.09993v1","created_at":"2026-07-05T03:28:09.911473+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2007.09993","created_at":"2026-07-05T03:28:09.911473+00:00"},{"alias_kind":"pith_short_12","alias_value":"RRDVYLHW4DQF","created_at":"2026-07-05T03:28:09.911473+00:00"},{"alias_kind":"pith_short_16","alias_value":"RRDVYLHW4DQFJBCM","created_at":"2026-07-05T03:28:09.911473+00:00"},{"alias_kind":"pith_short_8","alias_value":"RRDVYLHW","created_at":"2026-07-05T03:28:09.911473+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":7,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.05327","citing_title":"Cosmological Correlators in KLF and the Double-Exchange","ref_index":31,"is_internal_anchor":true},{"citing_arxiv_id":"2606.26221","citing_title":"De Sitter Representations","ref_index":22,"is_internal_anchor":false},{"citing_arxiv_id":"2606.27311","citing_title":"Massive Cosmological Correlators from Flat Space: a Laplace-Space Approach","ref_index":13,"is_internal_anchor":false},{"citing_arxiv_id":"2605.28054","citing_title":"Fermionic Bubble Loop in Cosmological Collider Revisited: Exact signals from spectral and Mellin-Barnes methods","ref_index":72,"is_internal_anchor":false},{"citing_arxiv_id":"2604.26421","citing_title":"On the simplicity of de Sitter correlators","ref_index":17,"is_internal_anchor":false},{"citing_arxiv_id":"2604.14549","citing_title":"Loop integrals in de Sitter spacetime: The parity-split IBP system and $\\mathrm{d}\\log$-form differential equations","ref_index":55,"is_internal_anchor":false},{"citing_arxiv_id":"2604.15251","citing_title":"Kontorovich-Lebedev-Fourier Space for de Sitter Correlators","ref_index":69,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RRDVYLHW4DQFJBCM2DROLZ27RK","json":"https://pith.science/pith/RRDVYLHW4DQFJBCM2DROLZ27RK.json","graph_json":"https://pith.science/api/pith-number/RRDVYLHW4DQFJBCM2DROLZ27RK/graph.json","events_json":"https://pith.science/api/pith-number/RRDVYLHW4DQFJBCM2DROLZ27RK/events.json","paper":"https://pith.science/paper/RRDVYLHW"},"agent_actions":{"view_html":"https://pith.science/pith/RRDVYLHW4DQFJBCM2DROLZ27RK","download_json":"https://pith.science/pith/RRDVYLHW4DQFJBCM2DROLZ27RK.json","view_paper":"https://pith.science/paper/RRDVYLHW","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2007.09993&json=true","fetch_graph":"https://pith.science/api/pith-number/RRDVYLHW4DQFJBCM2DROLZ27RK/graph.json","fetch_events":"https://pith.science/api/pith-number/RRDVYLHW4DQFJBCM2DROLZ27RK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RRDVYLHW4DQFJBCM2DROLZ27RK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RRDVYLHW4DQFJBCM2DROLZ27RK/action/storage_attestation","attest_author":"https://pith.science/pith/RRDVYLHW4DQFJBCM2DROLZ27RK/action/author_attestation","sign_citation":"https://pith.science/pith/RRDVYLHW4DQFJBCM2DROLZ27RK/action/citation_signature","submit_replication":"https://pith.science/pith/RRDVYLHW4DQFJBCM2DROLZ27RK/action/replication_record"}},"created_at":"2026-07-05T03:28:09.911473+00:00","updated_at":"2026-07-05T03:28:09.911473+00:00"}