{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:K6NLJOROW4EQ37G3JCP5LZ66GL","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":"ec5647fabb79a65415c7d37bb44f590a4e57da396ebeb2f86552aa2846453e6e","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-13T10:45:07Z","title_canon_sha256":"6f001b8f4539fa8e1931f090418088f595bf5c84c395df175c910eda2297e1e7"},"schema_version":"1.0","source":{"id":"1908.04572","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1908.04572","created_at":"2026-07-05T00:30:20Z"},{"alias_kind":"arxiv_version","alias_value":"1908.04572v1","created_at":"2026-07-05T00:30:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04572","created_at":"2026-07-05T00:30:20Z"},{"alias_kind":"pith_short_12","alias_value":"K6NLJOROW4EQ","created_at":"2026-07-05T00:30:20Z"},{"alias_kind":"pith_short_16","alias_value":"K6NLJOROW4EQ37G3","created_at":"2026-07-05T00:30:20Z"},{"alias_kind":"pith_short_8","alias_value":"K6NLJORO","created_at":"2026-07-05T00:30:20Z"}],"graph_snapshots":[{"event_id":"sha256:a0badcd2c05440dc8ebed62e8d7e7cd5df1bb3cfacaefcf24f4dea7162acd662","target":"graph","created_at":"2026-07-05T00:30:20Z","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/1908.04572/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Our previous work [1] constructed, in three-dimensional momentum space, a manifestly crossing symmetric basis for scalar conformal four-point functions, based on the factorization property proposed by Polyakov. This work extends this construction to general dimensional conformal field theory. To facilitate the treatment of symmetric traceless tensors, we exploit techniques of spherical harmonics in general dimensions.","authors_text":"Gary Shiu, Hiroshi Isono, Toshifumi Noumi","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-13T10:45:07Z","title":"Momentum space approach to crossing symmetric CFT correlators II: General spacetime dimension"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04572","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:f31fe0a77288e41525905f8117c3d30edfae28d264a67e4594b232cd6ff626b4","target":"record","created_at":"2026-07-05T00:30:20Z","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":"ec5647fabb79a65415c7d37bb44f590a4e57da396ebeb2f86552aa2846453e6e","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-08-13T10:45:07Z","title_canon_sha256":"6f001b8f4539fa8e1931f090418088f595bf5c84c395df175c910eda2297e1e7"},"schema_version":"1.0","source":{"id":"1908.04572","kind":"arxiv","version":1}},"canonical_sha256":"579ab4ba2eb7090dfcdb489fd5e7de32cecf02857b0eb4bb4e8a06989cfee9fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"579ab4ba2eb7090dfcdb489fd5e7de32cecf02857b0eb4bb4e8a06989cfee9fe","first_computed_at":"2026-07-05T00:30:20.975103Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:30:20.975103Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7NNx9FzSaztRk6Us87PxKV9j7Jum9CUqz81i6mm/vI9gAyJ0JKmLVeKkP0FTwb39JasbBHUk88GYzTS0xpNcDw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:30:20.975464Z","signed_message":"canonical_sha256_bytes"},"source_id":"1908.04572","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f31fe0a77288e41525905f8117c3d30edfae28d264a67e4594b232cd6ff626b4","sha256:a0badcd2c05440dc8ebed62e8d7e7cd5df1bb3cfacaefcf24f4dea7162acd662"],"state_sha256":"3b09eb5dcc8385524fff5e4daca8c8388b621d54e0bb6d2b400dabd9f93aec15"}