{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:OGN2RS6UTLPUJ23TXR2VG6T6VK","short_pith_number":"pith:OGN2RS6U","canonical_record":{"source":{"id":"1810.03244","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-08T01:50:13Z","cross_cats_sorted":[],"title_canon_sha256":"4e583a44894f4da9bcdec3f9fd6f887f5057079800f7317cd2c091ccb82b28ba","abstract_canon_sha256":"0937bf784fc2a812824baf985955e86777860ba01eec3327eed48bfc01c2261d"},"schema_version":"1.0"},"canonical_sha256":"719ba8cbd49adf44eb73bc75537a7eaa8b89830e797af270ebb3af02324bac74","source":{"kind":"arxiv","id":"1810.03244","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.03244","created_at":"2026-05-17T23:50:12Z"},{"alias_kind":"arxiv_version","alias_value":"1810.03244v1","created_at":"2026-05-17T23:50:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.03244","created_at":"2026-05-17T23:50:12Z"},{"alias_kind":"pith_short_12","alias_value":"OGN2RS6UTLPU","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OGN2RS6UTLPUJ23T","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OGN2RS6U","created_at":"2026-05-18T12:32:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:OGN2RS6UTLPUJ23TXR2VG6T6VK","target":"record","payload":{"canonical_record":{"source":{"id":"1810.03244","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-08T01:50:13Z","cross_cats_sorted":[],"title_canon_sha256":"4e583a44894f4da9bcdec3f9fd6f887f5057079800f7317cd2c091ccb82b28ba","abstract_canon_sha256":"0937bf784fc2a812824baf985955e86777860ba01eec3327eed48bfc01c2261d"},"schema_version":"1.0"},"canonical_sha256":"719ba8cbd49adf44eb73bc75537a7eaa8b89830e797af270ebb3af02324bac74","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:12.144570Z","signature_b64":"NbZPNVkUUz0bWN3keBrhVwDS+neKdPB9f0B4HShttMZprmh22dvpHT7M/52aAMEojLJlvSCzcZAahSpn/q+ODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"719ba8cbd49adf44eb73bc75537a7eaa8b89830e797af270ebb3af02324bac74","last_reissued_at":"2026-05-17T23:50:12.144003Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:12.144003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.03244","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:50:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l/DTj02ypn8W0p53/r3XXeeOhqwVfq9KymoG52B6cKCzBBqytNaIwozY9ssPso5NYwKm3yo2JEjuMDpzgWLoBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:40:07.886002Z"},"content_sha256":"29a1de74a2e529f95932dddd3083f0223522274f9b6e840d180f2b5283a98471","schema_version":"1.0","event_id":"sha256:29a1de74a2e529f95932dddd3083f0223522274f9b6e840d180f2b5283a98471"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:OGN2RS6UTLPUJ23TXR2VG6T6VK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multipoint Conformal Blocks in the Comb Channel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Vladimir Rosenhaus","submitted_at":"2018-10-08T01:50:13Z","abstract_excerpt":"Conformal blocks are the building blocks for correlation functions in conformal field theories. The four-point function is the most well-studied case. We consider conformal blocks for $n$-point correlation functions. For conformal field theories in dimensions $d=1$ and $d=2$, we use the shadow formalism to compute $n$-point conformal blocks, for arbitrary $n$, in a particular channel which we refer to as the comb channel. The result is expressed in terms of a multivariable hypergeometric function, for which we give series, differential, and integral representations. In general dimension $d$ we"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.03244","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:50:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0GLRS5jXrKikMELhzZrXU3xTx0UapJcQhUEtPGQvTypC7pu26sbT6oLJcwpiMD3jfHjVOvk2K29pA4v3fiPrAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T12:40:07.886635Z"},"content_sha256":"4940cb6b755bf250aeeff7f06215bc16fb181bfc5565f8aa66070cdc4ddb0320","schema_version":"1.0","event_id":"sha256:4940cb6b755bf250aeeff7f06215bc16fb181bfc5565f8aa66070cdc4ddb0320"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OGN2RS6UTLPUJ23TXR2VG6T6VK/bundle.json","state_url":"https://pith.science/pith/OGN2RS6UTLPUJ23TXR2VG6T6VK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OGN2RS6UTLPUJ23TXR2VG6T6VK/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-26T12:40:07Z","links":{"resolver":"https://pith.science/pith/OGN2RS6UTLPUJ23TXR2VG6T6VK","bundle":"https://pith.science/pith/OGN2RS6UTLPUJ23TXR2VG6T6VK/bundle.json","state":"https://pith.science/pith/OGN2RS6UTLPUJ23TXR2VG6T6VK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OGN2RS6UTLPUJ23TXR2VG6T6VK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:OGN2RS6UTLPUJ23TXR2VG6T6VK","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":"0937bf784fc2a812824baf985955e86777860ba01eec3327eed48bfc01c2261d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-08T01:50:13Z","title_canon_sha256":"4e583a44894f4da9bcdec3f9fd6f887f5057079800f7317cd2c091ccb82b28ba"},"schema_version":"1.0","source":{"id":"1810.03244","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.03244","created_at":"2026-05-17T23:50:12Z"},{"alias_kind":"arxiv_version","alias_value":"1810.03244v1","created_at":"2026-05-17T23:50:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.03244","created_at":"2026-05-17T23:50:12Z"},{"alias_kind":"pith_short_12","alias_value":"OGN2RS6UTLPU","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_16","alias_value":"OGN2RS6UTLPUJ23T","created_at":"2026-05-18T12:32:43Z"},{"alias_kind":"pith_short_8","alias_value":"OGN2RS6U","created_at":"2026-05-18T12:32:43Z"}],"graph_snapshots":[{"event_id":"sha256:4940cb6b755bf250aeeff7f06215bc16fb181bfc5565f8aa66070cdc4ddb0320","target":"graph","created_at":"2026-05-17T23:50:12Z","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"},"paper":{"abstract_excerpt":"Conformal blocks are the building blocks for correlation functions in conformal field theories. The four-point function is the most well-studied case. We consider conformal blocks for $n$-point correlation functions. For conformal field theories in dimensions $d=1$ and $d=2$, we use the shadow formalism to compute $n$-point conformal blocks, for arbitrary $n$, in a particular channel which we refer to as the comb channel. The result is expressed in terms of a multivariable hypergeometric function, for which we give series, differential, and integral representations. In general dimension $d$ we","authors_text":"Vladimir Rosenhaus","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-08T01:50:13Z","title":"Multipoint Conformal Blocks in the Comb Channel"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.03244","kind":"arxiv","version":1},"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":"sha256:29a1de74a2e529f95932dddd3083f0223522274f9b6e840d180f2b5283a98471","target":"record","created_at":"2026-05-17T23:50:12Z","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":"0937bf784fc2a812824baf985955e86777860ba01eec3327eed48bfc01c2261d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-10-08T01:50:13Z","title_canon_sha256":"4e583a44894f4da9bcdec3f9fd6f887f5057079800f7317cd2c091ccb82b28ba"},"schema_version":"1.0","source":{"id":"1810.03244","kind":"arxiv","version":1}},"canonical_sha256":"719ba8cbd49adf44eb73bc75537a7eaa8b89830e797af270ebb3af02324bac74","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"719ba8cbd49adf44eb73bc75537a7eaa8b89830e797af270ebb3af02324bac74","first_computed_at":"2026-05-17T23:50:12.144003Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:12.144003Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NbZPNVkUUz0bWN3keBrhVwDS+neKdPB9f0B4HShttMZprmh22dvpHT7M/52aAMEojLJlvSCzcZAahSpn/q+ODw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:12.144570Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.03244","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:29a1de74a2e529f95932dddd3083f0223522274f9b6e840d180f2b5283a98471","sha256:4940cb6b755bf250aeeff7f06215bc16fb181bfc5565f8aa66070cdc4ddb0320"],"state_sha256":"b2b70fdc5de7682b5e8b54f79ccfbf9f91fe0de1ad89eb8d1a338dd6055309a9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QHAYN0QYnwzfDFoDzBZ4A+jH56F5Vo2Ng7mTHyXacpWM/zvGCHP9EIf0jaIMktmTbOdETi3BvbrG+RkuhRZjAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T12:40:07.889166Z","bundle_sha256":"7b9d61b13a07ad2c8ac70dcbda6b5247fc2662ed54d62e2608272c6860f51ccb"}}