{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KP7GPNI2ZCBLNPQBVZN3XIIKKD","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":"3cbda66f7e7f334ae4afe94494efb5e83ef0eb39faa6f5aa5fcdd68ab3647280","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-09-18T18:13:58Z","title_canon_sha256":"7cf0b8e0b86cce7d08a3044e027f98f56efca1432507da459a8ccde417951ad0"},"schema_version":"1.0","source":{"id":"1709.06110","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1709.06110","created_at":"2026-05-18T00:21:25Z"},{"alias_kind":"arxiv_version","alias_value":"1709.06110v3","created_at":"2026-05-18T00:21:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1709.06110","created_at":"2026-05-18T00:21:25Z"},{"alias_kind":"pith_short_12","alias_value":"KP7GPNI2ZCBL","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KP7GPNI2ZCBLNPQB","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KP7GPNI2","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:1bdabd027bf6f2c1071a39ae9ac5703e3daf37259b9e5f8e85a81f7d632e7d1f","target":"graph","created_at":"2026-05-18T00:21:25Z","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":"We set up the conventional conformal bootstrap equations in Mellin space and analyse the anomalous dimensions and OPE coefficients of large spin double trace operators. By decomposing the equations in terms of continuous Hahn polynomials, we derive explicit expressions as an asymptotic expansion in inverse conformal spin to any order, reproducing the contribution of any primary operator and its descendants in the crossed channel. The expressions are in terms of known mathematical functions and involve generalized Bernoulli (Norlund) polynomials and the Mack polynomials and enable us to derive ","authors_text":"Aninda Sinha, Kausik Ghosh, Parijat Dey","cross_cats":["cond-mat.str-el"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-09-18T18:13:58Z","title":"Simplifying large spin bootstrap in Mellin space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1709.06110","kind":"arxiv","version":3},"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":"sha256:432e4534be7e70d94fe6275005548712c3b1bd7786d554722dcab84c26adef53","target":"record","created_at":"2026-05-18T00:21:25Z","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":"3cbda66f7e7f334ae4afe94494efb5e83ef0eb39faa6f5aa5fcdd68ab3647280","cross_cats_sorted":["cond-mat.str-el"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2017-09-18T18:13:58Z","title_canon_sha256":"7cf0b8e0b86cce7d08a3044e027f98f56efca1432507da459a8ccde417951ad0"},"schema_version":"1.0","source":{"id":"1709.06110","kind":"arxiv","version":3}},"canonical_sha256":"53fe67b51ac882b6be01ae5bbba10a50e5cc01fb010d29773dd7988a68c7a3f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"53fe67b51ac882b6be01ae5bbba10a50e5cc01fb010d29773dd7988a68c7a3f2","first_computed_at":"2026-05-18T00:21:25.212579Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:25.212579Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mgF8g6lx3WifnrgYDvFeWtWRY/8UaDG6YSF8HRZgkUdWGy3ururhW+jyZnWsc+pWwMRWztUI1OlLwWWmeOkNBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:25.213176Z","signed_message":"canonical_sha256_bytes"},"source_id":"1709.06110","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:432e4534be7e70d94fe6275005548712c3b1bd7786d554722dcab84c26adef53","sha256:1bdabd027bf6f2c1071a39ae9ac5703e3daf37259b9e5f8e85a81f7d632e7d1f"],"state_sha256":"fda14f5cdc69bfc996412dea86c8bf2a88f4dbd3e394a8181e195d7f64a43724"}