{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:SL3UWMZHZ25IV7T3CKATREJ3G7","short_pith_number":"pith:SL3UWMZH","canonical_record":{"source":{"id":"1611.00763","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-02T20:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"04c2e88862f6623c286b5737fe39868e8d5811eba7bc45575bfc76b7cfe578c3","abstract_canon_sha256":"bdd8adbe9c18a22706351ee4bc8d059ebc3c5bf2acabd551ecc40081667b21e4"},"schema_version":"1.0"},"canonical_sha256":"92f74b3327ceba8afe7b128138913b37e53bdd89321055f4c3ca803c597f51e0","source":{"kind":"arxiv","id":"1611.00763","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00763","created_at":"2026-05-18T00:52:55Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00763v2","created_at":"2026-05-18T00:52:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00763","created_at":"2026-05-18T00:52:55Z"},{"alias_kind":"pith_short_12","alias_value":"SL3UWMZHZ25I","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SL3UWMZHZ25IV7T3","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SL3UWMZH","created_at":"2026-05-18T12:30:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:SL3UWMZHZ25IV7T3CKATREJ3G7","target":"record","payload":{"canonical_record":{"source":{"id":"1611.00763","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-02T20:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"04c2e88862f6623c286b5737fe39868e8d5811eba7bc45575bfc76b7cfe578c3","abstract_canon_sha256":"bdd8adbe9c18a22706351ee4bc8d059ebc3c5bf2acabd551ecc40081667b21e4"},"schema_version":"1.0"},"canonical_sha256":"92f74b3327ceba8afe7b128138913b37e53bdd89321055f4c3ca803c597f51e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:55.030062Z","signature_b64":"+AkULj5fiQukXig1fH8hVqdtY6m0s4f/3vqWfYpKrFd9Rx3ocKVzpCFl4U1EQM+Lg0KOtssRE6HJv5izIAqfDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"92f74b3327ceba8afe7b128138913b37e53bdd89321055f4c3ca803c597f51e0","last_reissued_at":"2026-05-18T00:52:55.029404Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:55.029404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.00763","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OHcxuYcbSZUdfawD1T6qq7075o+L4254RjBZDCBNiz3lXHD4YXQigH3Qy7b9o18gg4w8icsHLWT9980TveouDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:15:47.160796Z"},"content_sha256":"e39103dd2a7705b2d3371df512cb6ec0454aa6d28f1a457ac83592a7d54e754c","schema_version":"1.0","event_id":"sha256:e39103dd2a7705b2d3371df512cb6ec0454aa6d28f1a457ac83592a7d54e754c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:SL3UWMZHZ25IV7T3CKATREJ3G7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Intertwining Operator in Thermal CFT$_{d}$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Satoshi Ohya","submitted_at":"2016-11-02T20:00:00Z","abstract_excerpt":"It has long been known that two-point functions of conformal field theory (CFT) are nothing but the integral kernels of intertwining operators for two equivalent representations of conformal algebra. Such intertwining operators are known to fulfill some operator identities---the intertwining relations---in the representation space of conformal algebra. Meanwhile, it has been known that the S-matrix operator in scattering theory is nothing but the intertwining operator between the Hilbert spaces of in- and out-particles. Inspired by this algebraic resemblance, in this paper we develop a simple "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00763","kind":"arxiv","version":2},"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":"2026-05-18T00:52:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Db9FvyDmADrWoIsha0wzcxrcBku03XZZeL8gmFQydoWBkTRrR1HIoW2u13iihxRVBXaxKPgtn/ifugplc8prDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T14:15:47.161493Z"},"content_sha256":"5a8fb070d7ca437b6b7b0d063288c327a1f5f993bd533a6bfdc432ec5122d0bf","schema_version":"1.0","event_id":"sha256:5a8fb070d7ca437b6b7b0d063288c327a1f5f993bd533a6bfdc432ec5122d0bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SL3UWMZHZ25IV7T3CKATREJ3G7/bundle.json","state_url":"https://pith.science/pith/SL3UWMZHZ25IV7T3CKATREJ3G7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SL3UWMZHZ25IV7T3CKATREJ3G7/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":"2026-06-07T14:15:47Z","links":{"resolver":"https://pith.science/pith/SL3UWMZHZ25IV7T3CKATREJ3G7","bundle":"https://pith.science/pith/SL3UWMZHZ25IV7T3CKATREJ3G7/bundle.json","state":"https://pith.science/pith/SL3UWMZHZ25IV7T3CKATREJ3G7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SL3UWMZHZ25IV7T3CKATREJ3G7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SL3UWMZHZ25IV7T3CKATREJ3G7","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":"bdd8adbe9c18a22706351ee4bc8d059ebc3c5bf2acabd551ecc40081667b21e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-02T20:00:00Z","title_canon_sha256":"04c2e88862f6623c286b5737fe39868e8d5811eba7bc45575bfc76b7cfe578c3"},"schema_version":"1.0","source":{"id":"1611.00763","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00763","created_at":"2026-05-18T00:52:55Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00763v2","created_at":"2026-05-18T00:52:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00763","created_at":"2026-05-18T00:52:55Z"},{"alias_kind":"pith_short_12","alias_value":"SL3UWMZHZ25I","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SL3UWMZHZ25IV7T3","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SL3UWMZH","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:5a8fb070d7ca437b6b7b0d063288c327a1f5f993bd533a6bfdc432ec5122d0bf","target":"graph","created_at":"2026-05-18T00:52:55Z","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":"It has long been known that two-point functions of conformal field theory (CFT) are nothing but the integral kernels of intertwining operators for two equivalent representations of conformal algebra. Such intertwining operators are known to fulfill some operator identities---the intertwining relations---in the representation space of conformal algebra. Meanwhile, it has been known that the S-matrix operator in scattering theory is nothing but the intertwining operator between the Hilbert spaces of in- and out-particles. Inspired by this algebraic resemblance, in this paper we develop a simple ","authors_text":"Satoshi Ohya","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-02T20:00:00Z","title":"Intertwining Operator in Thermal CFT$_{d}$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00763","kind":"arxiv","version":2},"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:e39103dd2a7705b2d3371df512cb6ec0454aa6d28f1a457ac83592a7d54e754c","target":"record","created_at":"2026-05-18T00:52:55Z","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":"bdd8adbe9c18a22706351ee4bc8d059ebc3c5bf2acabd551ecc40081667b21e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-02T20:00:00Z","title_canon_sha256":"04c2e88862f6623c286b5737fe39868e8d5811eba7bc45575bfc76b7cfe578c3"},"schema_version":"1.0","source":{"id":"1611.00763","kind":"arxiv","version":2}},"canonical_sha256":"92f74b3327ceba8afe7b128138913b37e53bdd89321055f4c3ca803c597f51e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"92f74b3327ceba8afe7b128138913b37e53bdd89321055f4c3ca803c597f51e0","first_computed_at":"2026-05-18T00:52:55.029404Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:55.029404Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+AkULj5fiQukXig1fH8hVqdtY6m0s4f/3vqWfYpKrFd9Rx3ocKVzpCFl4U1EQM+Lg0KOtssRE6HJv5izIAqfDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:55.030062Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.00763","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e39103dd2a7705b2d3371df512cb6ec0454aa6d28f1a457ac83592a7d54e754c","sha256:5a8fb070d7ca437b6b7b0d063288c327a1f5f993bd533a6bfdc432ec5122d0bf"],"state_sha256":"eb81e188879529672ecb096c067f8d4db9cd0418cf7c328f08b4312e80f38d34"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LyYCtrDgouEggu4yQbxOlTRMNfJ5pPNniV9Bf4D6LEgE+JJa8QLWDZrCA4FrF8j0teMZastYIZSLnhE0Le8KDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T14:15:47.165382Z","bundle_sha256":"c35653d051ae49167b0276de3e33cdaca702f95817fe86fff9cf72fd02e62254"}}