{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:DSTHT3B2IHCTQ6EKCSJZJE4FMQ","short_pith_number":"pith:DSTHT3B2","schema_version":"1.0","canonical_sha256":"1ca679ec3a41c538788a149394938564211d3a9caf94eb872c3a4ceed9da13f6","source":{"kind":"arxiv","id":"2009.12904","version":1},"attestation_state":"computed","paper":{"title":"Dimensional reduction of higher-point conformal blocks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Sarah Hoback, Sarthak Parikh","submitted_at":"2020-09-27T17:27:45Z","abstract_excerpt":"Recently, with the help of Parisi-Sourlas supersymmetry an intriguing relation was found expressing the four-point scalar conformal block of a (d-2)-dimensional CFT in terms of a five-term linear combination of blocks of a d-dimensional CFT, with constant coefficients. We extend this dimensional reduction relation to all higher-point scalar conformal blocks of arbitrary topology restricted to scalar exchanges. We show that the constant coefficients appearing in the finite term higher-point dimensional reduction obey an interesting factorization property allowing them to be determined in terms "},"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":"2009.12904","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-09-27T17:27:45Z","cross_cats_sorted":[],"title_canon_sha256":"7b4d8a3b51ff4795cc62fb02d14bc07ac1b5491df6a68f43f939e398c5df93ee","abstract_canon_sha256":"46f1865401c81ad9e17024f4497ba9a9a0516c071193ae58d85b3a644081f1f2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:29:32.447564Z","signature_b64":"hUYzLuMs6DMjUA13VSWsIEUeG924nkor35aeZtv0vCR/7OVrHLvjZZk+CANlG84OEZVeZAvhMlfeQ6q69nYvAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ca679ec3a41c538788a149394938564211d3a9caf94eb872c3a4ceed9da13f6","last_reissued_at":"2026-07-05T02:29:32.447168Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:29:32.447168Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dimensional reduction of higher-point conformal blocks","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Sarah Hoback, Sarthak Parikh","submitted_at":"2020-09-27T17:27:45Z","abstract_excerpt":"Recently, with the help of Parisi-Sourlas supersymmetry an intriguing relation was found expressing the four-point scalar conformal block of a (d-2)-dimensional CFT in terms of a five-term linear combination of blocks of a d-dimensional CFT, with constant coefficients. We extend this dimensional reduction relation to all higher-point scalar conformal blocks of arbitrary topology restricted to scalar exchanges. We show that the constant coefficients appearing in the finite term higher-point dimensional reduction obey an interesting factorization property allowing them to be determined in terms "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2009.12904","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/2009.12904/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":"2009.12904","created_at":"2026-07-05T02:29:32.447224+00:00"},{"alias_kind":"arxiv_version","alias_value":"2009.12904v1","created_at":"2026-07-05T02:29:32.447224+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2009.12904","created_at":"2026-07-05T02:29:32.447224+00:00"},{"alias_kind":"pith_short_12","alias_value":"DSTHT3B2IHCT","created_at":"2026-07-05T02:29:32.447224+00:00"},{"alias_kind":"pith_short_16","alias_value":"DSTHT3B2IHCTQ6EK","created_at":"2026-07-05T02:29:32.447224+00:00"},{"alias_kind":"pith_short_8","alias_value":"DSTHT3B2","created_at":"2026-07-05T02:29:32.447224+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2411.12934","citing_title":"Parisi-Sourlas Supertranslation and Scale without Conformal symmetry","ref_index":31,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DSTHT3B2IHCTQ6EKCSJZJE4FMQ","json":"https://pith.science/pith/DSTHT3B2IHCTQ6EKCSJZJE4FMQ.json","graph_json":"https://pith.science/api/pith-number/DSTHT3B2IHCTQ6EKCSJZJE4FMQ/graph.json","events_json":"https://pith.science/api/pith-number/DSTHT3B2IHCTQ6EKCSJZJE4FMQ/events.json","paper":"https://pith.science/paper/DSTHT3B2"},"agent_actions":{"view_html":"https://pith.science/pith/DSTHT3B2IHCTQ6EKCSJZJE4FMQ","download_json":"https://pith.science/pith/DSTHT3B2IHCTQ6EKCSJZJE4FMQ.json","view_paper":"https://pith.science/paper/DSTHT3B2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2009.12904&json=true","fetch_graph":"https://pith.science/api/pith-number/DSTHT3B2IHCTQ6EKCSJZJE4FMQ/graph.json","fetch_events":"https://pith.science/api/pith-number/DSTHT3B2IHCTQ6EKCSJZJE4FMQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DSTHT3B2IHCTQ6EKCSJZJE4FMQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DSTHT3B2IHCTQ6EKCSJZJE4FMQ/action/storage_attestation","attest_author":"https://pith.science/pith/DSTHT3B2IHCTQ6EKCSJZJE4FMQ/action/author_attestation","sign_citation":"https://pith.science/pith/DSTHT3B2IHCTQ6EKCSJZJE4FMQ/action/citation_signature","submit_replication":"https://pith.science/pith/DSTHT3B2IHCTQ6EKCSJZJE4FMQ/action/replication_record"}},"created_at":"2026-07-05T02:29:32.447224+00:00","updated_at":"2026-07-05T02:29:32.447224+00:00"}