{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:NH4MM3RMRQCZO45ULW4PDKTG3H","short_pith_number":"pith:NH4MM3RM","canonical_record":{"source":{"id":"1807.05941","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-16T16:03:52Z","cross_cats_sorted":[],"title_canon_sha256":"31ff0e52f7d3c309563f47041adc84e28439514d0d3edeffeffcb905c1ac6a56","abstract_canon_sha256":"1776f10c99b41e0fdfa54073b0b7f5ed0919d1de8b6d2101bcaaed75f30a9e01"},"schema_version":"1.0"},"canonical_sha256":"69f8c66e2c8c059773b45db8f1aa66d9da70a77a9dd8259372d7c3f0de27750f","source":{"kind":"arxiv","id":"1807.05941","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05941","created_at":"2026-07-05T00:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05941v5","created_at":"2026-07-05T00:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05941","created_at":"2026-07-05T00:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"NH4MM3RMRQCZ","created_at":"2026-07-05T00:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"NH4MM3RMRQCZO45U","created_at":"2026-07-05T00:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"NH4MM3RM","created_at":"2026-07-05T00:26:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:NH4MM3RMRQCZO45ULW4PDKTG3H","target":"record","payload":{"canonical_record":{"source":{"id":"1807.05941","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-16T16:03:52Z","cross_cats_sorted":[],"title_canon_sha256":"31ff0e52f7d3c309563f47041adc84e28439514d0d3edeffeffcb905c1ac6a56","abstract_canon_sha256":"1776f10c99b41e0fdfa54073b0b7f5ed0919d1de8b6d2101bcaaed75f30a9e01"},"schema_version":"1.0"},"canonical_sha256":"69f8c66e2c8c059773b45db8f1aa66d9da70a77a9dd8259372d7c3f0de27750f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:26:32.173275Z","signature_b64":"BtuDi73wUGI2bnXQQiDoNCmbJGzXlddIdDrZHrXohjKFk4RnuPu1+OoSquhWVgQsmGUmJxTQn5EpEr2Ge9gxAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"69f8c66e2c8c059773b45db8f1aa66d9da70a77a9dd8259372d7c3f0de27750f","last_reissued_at":"2026-07-05T00:26:32.172873Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:26:32.172873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.05941","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:26:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s6YlwXrw/68GR/1A5jfBp5gKF7hbMp47x40ardCN8OCtTm76Ael8oLWplG0uTmxYhguuT4CEmeJRQm+lGVjlBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T00:28:16.051072Z"},"content_sha256":"77af80af0a77c718e03f1478a573e60d7568dd3bd28e980e4cc2351be892fdfb","schema_version":"1.0","event_id":"sha256:77af80af0a77c718e03f1478a573e60d7568dd3bd28e980e4cc2351be892fdfb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:NH4MM3RMRQCZO45ULW4PDKTG3H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anomalous Dimensions from Crossing Kernels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Charlotte Sleight, Massimo Taronna","submitted_at":"2018-07-16T16:03:52Z","abstract_excerpt":"In this note we consider the problem of extracting the corrections to CFT data induced by the exchange of a primary operator and its descendents in the crossed channel. We show how those corrections which are analytic in spin can be systematically extracted from crossing kernels. To this end, we underline a connection between: Wilson polynomials (which naturally appear when considering the crossing kernels given recently in arXiv:1804.09334), the spectral integral in the conformal partial wave expansion, and Wilson functions. Using this connection, we determine closed form expressions for the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05941","kind":"arxiv","version":5},"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/1807.05941/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T00:26:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"osw4TbJmET0RHLwJj6ujoDQHmtPhXzp9DQDCRkpEPm2g9/36lNcu3vAQHFE2r2KEet8ogesmwebJJjjyM0w7Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T00:28:16.051985Z"},"content_sha256":"42fff4cf05d869a6619a958b825f015e70636e4c6a52883f246e2272eaf1c943","schema_version":"1.0","event_id":"sha256:42fff4cf05d869a6619a958b825f015e70636e4c6a52883f246e2272eaf1c943"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NH4MM3RMRQCZO45ULW4PDKTG3H/bundle.json","state_url":"https://pith.science/pith/NH4MM3RMRQCZO45ULW4PDKTG3H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NH4MM3RMRQCZO45ULW4PDKTG3H/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":"2026-08-11T00:28:16Z","links":{"resolver":"https://pith.science/pith/NH4MM3RMRQCZO45ULW4PDKTG3H","bundle":"https://pith.science/pith/NH4MM3RMRQCZO45ULW4PDKTG3H/bundle.json","state":"https://pith.science/pith/NH4MM3RMRQCZO45ULW4PDKTG3H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NH4MM3RMRQCZO45ULW4PDKTG3H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NH4MM3RMRQCZO45ULW4PDKTG3H","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":"1776f10c99b41e0fdfa54073b0b7f5ed0919d1de8b6d2101bcaaed75f30a9e01","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-16T16:03:52Z","title_canon_sha256":"31ff0e52f7d3c309563f47041adc84e28439514d0d3edeffeffcb905c1ac6a56"},"schema_version":"1.0","source":{"id":"1807.05941","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.05941","created_at":"2026-07-05T00:26:32Z"},{"alias_kind":"arxiv_version","alias_value":"1807.05941v5","created_at":"2026-07-05T00:26:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.05941","created_at":"2026-07-05T00:26:32Z"},{"alias_kind":"pith_short_12","alias_value":"NH4MM3RMRQCZ","created_at":"2026-07-05T00:26:32Z"},{"alias_kind":"pith_short_16","alias_value":"NH4MM3RMRQCZO45U","created_at":"2026-07-05T00:26:32Z"},{"alias_kind":"pith_short_8","alias_value":"NH4MM3RM","created_at":"2026-07-05T00:26:32Z"}],"graph_snapshots":[{"event_id":"sha256:42fff4cf05d869a6619a958b825f015e70636e4c6a52883f246e2272eaf1c943","target":"graph","created_at":"2026-07-05T00:26:32Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1807.05941/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this note we consider the problem of extracting the corrections to CFT data induced by the exchange of a primary operator and its descendents in the crossed channel. We show how those corrections which are analytic in spin can be systematically extracted from crossing kernels. To this end, we underline a connection between: Wilson polynomials (which naturally appear when considering the crossing kernels given recently in arXiv:1804.09334), the spectral integral in the conformal partial wave expansion, and Wilson functions. Using this connection, we determine closed form expressions for the ","authors_text":"Charlotte Sleight, Massimo Taronna","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-16T16:03:52Z","title":"Anomalous Dimensions from Crossing Kernels"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.05941","kind":"arxiv","version":5},"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":"sha256:77af80af0a77c718e03f1478a573e60d7568dd3bd28e980e4cc2351be892fdfb","target":"record","created_at":"2026-07-05T00:26:32Z","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":"1776f10c99b41e0fdfa54073b0b7f5ed0919d1de8b6d2101bcaaed75f30a9e01","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-07-16T16:03:52Z","title_canon_sha256":"31ff0e52f7d3c309563f47041adc84e28439514d0d3edeffeffcb905c1ac6a56"},"schema_version":"1.0","source":{"id":"1807.05941","kind":"arxiv","version":5}},"canonical_sha256":"69f8c66e2c8c059773b45db8f1aa66d9da70a77a9dd8259372d7c3f0de27750f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"69f8c66e2c8c059773b45db8f1aa66d9da70a77a9dd8259372d7c3f0de27750f","first_computed_at":"2026-07-05T00:26:32.172873Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:26:32.172873Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BtuDi73wUGI2bnXQQiDoNCmbJGzXlddIdDrZHrXohjKFk4RnuPu1+OoSquhWVgQsmGUmJxTQn5EpEr2Ge9gxAA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:26:32.173275Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.05941","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:77af80af0a77c718e03f1478a573e60d7568dd3bd28e980e4cc2351be892fdfb","sha256:42fff4cf05d869a6619a958b825f015e70636e4c6a52883f246e2272eaf1c943"],"state_sha256":"1b2e6c85ba0b545fda96cd356f857cd98c6b3e351033be5e555a79369a6c5ef5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jEyhfP4eqp+bFekDHt72DKgDKf/peZWDMAk2/CGSBrTNgI3goCyhOyj8MFSILM1093uIE+YxQLSX3ScLBKOCAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T00:28:16.057166Z","bundle_sha256":"6e01a8d5882cf9f08068d205a10f1b59eb097114424f13c7dcdd0fb5034cd90b"}}