{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:CVN5JODJ6BMEMZO4YYDZWQ77IN","short_pith_number":"pith:CVN5JODJ","canonical_record":{"source":{"id":"1602.03870","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-11T20:29:53Z","cross_cats_sorted":[],"title_canon_sha256":"622e3510d3439aae286ac8021d00494c2d36596bfe375abfd86e839738d9ebf1","abstract_canon_sha256":"a615db7d950d95ce101b4407144a4d7b1c2610ff55e38c299886a78209bcbf5a"},"schema_version":"1.0"},"canonical_sha256":"155bd4b869f0584665dcc6079b43ff437da5eb7ebb01d85dfbf7565741a28e82","source":{"kind":"arxiv","id":"1602.03870","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.03870","created_at":"2026-05-18T01:02:30Z"},{"alias_kind":"arxiv_version","alias_value":"1602.03870v2","created_at":"2026-05-18T01:02:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.03870","created_at":"2026-05-18T01:02:30Z"},{"alias_kind":"pith_short_12","alias_value":"CVN5JODJ6BME","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CVN5JODJ6BMEMZO4","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CVN5JODJ","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:CVN5JODJ6BMEMZO4YYDZWQ77IN","target":"record","payload":{"canonical_record":{"source":{"id":"1602.03870","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-11T20:29:53Z","cross_cats_sorted":[],"title_canon_sha256":"622e3510d3439aae286ac8021d00494c2d36596bfe375abfd86e839738d9ebf1","abstract_canon_sha256":"a615db7d950d95ce101b4407144a4d7b1c2610ff55e38c299886a78209bcbf5a"},"schema_version":"1.0"},"canonical_sha256":"155bd4b869f0584665dcc6079b43ff437da5eb7ebb01d85dfbf7565741a28e82","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:02:30.853429Z","signature_b64":"+UBqANHeZpVpE7tnunYEWfNJ7Qdpm04GUXjNNu2nMMpv0+yDShUlybdPEKHvBqGj+MqteKHFbf8sXQI+R6z/DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"155bd4b869f0584665dcc6079b43ff437da5eb7ebb01d85dfbf7565741a28e82","last_reissued_at":"2026-05-18T01:02:30.852856Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:02:30.852856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.03870","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":"2026-05-18T01:02:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"96NqsL07QgFgRMw28R+lZJ0+0HPa80uLTdT4+8Oq4yg4Gd9rtgDfmkbkq6WsKnjnSZQvgCK6/p58Dy8oXOdpCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T22:23:56.988734Z"},"content_sha256":"8801f815a5996d0519d140ccdc0ed73fc551b21e09cf61ef10f400c3fb469eb0","schema_version":"1.0","event_id":"sha256:8801f815a5996d0519d140ccdc0ed73fc551b21e09cf61ef10f400c3fb469eb0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:CVN5JODJ6BMEMZO4YYDZWQ77IN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Correlation functions with fusion-channel multiplicity in W3 Toda field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Benoit Estienne, Omar Foda, Raoul Santachiara, Vladimir Belavin","submitted_at":"2016-02-11T20:29:53Z","abstract_excerpt":"Current studies of WN Toda field theory focus on correlation functions such that the WN highest-weight representations in the fusion channels are multiplicity-free. In this work, we study W3 Toda 4-point functions with multiplicity in the fusion channel. The conformal blocks of these 4-point functions involve matrix elements of a fully-degenerate primary field with a highest-weight in the adjoint representation of sl3, and a semi-degenerate primary field with a highest-weight in the fundamental representation of sl3. We show that, when the fusion rules are obeyed, the matrix elements of the fu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.03870","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":"2026-05-18T01:02:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6zDiA2P/V81GwBNsWH5h+JOEdE/F63X8k8bEQ1hWptr67BYUrYCiozWaZuIgzduTCzRqVSE4t7oQdCJCj/5aAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T22:23:56.989359Z"},"content_sha256":"b85351c97996671cd6d365526aaee3533245b5c734b5fcd10460e1651a4ee140","schema_version":"1.0","event_id":"sha256:b85351c97996671cd6d365526aaee3533245b5c734b5fcd10460e1651a4ee140"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CVN5JODJ6BMEMZO4YYDZWQ77IN/bundle.json","state_url":"https://pith.science/pith/CVN5JODJ6BMEMZO4YYDZWQ77IN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CVN5JODJ6BMEMZO4YYDZWQ77IN/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":"2026-06-05T22:23:56Z","links":{"resolver":"https://pith.science/pith/CVN5JODJ6BMEMZO4YYDZWQ77IN","bundle":"https://pith.science/pith/CVN5JODJ6BMEMZO4YYDZWQ77IN/bundle.json","state":"https://pith.science/pith/CVN5JODJ6BMEMZO4YYDZWQ77IN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CVN5JODJ6BMEMZO4YYDZWQ77IN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CVN5JODJ6BMEMZO4YYDZWQ77IN","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":"a615db7d950d95ce101b4407144a4d7b1c2610ff55e38c299886a78209bcbf5a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-11T20:29:53Z","title_canon_sha256":"622e3510d3439aae286ac8021d00494c2d36596bfe375abfd86e839738d9ebf1"},"schema_version":"1.0","source":{"id":"1602.03870","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.03870","created_at":"2026-05-18T01:02:30Z"},{"alias_kind":"arxiv_version","alias_value":"1602.03870v2","created_at":"2026-05-18T01:02:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.03870","created_at":"2026-05-18T01:02:30Z"},{"alias_kind":"pith_short_12","alias_value":"CVN5JODJ6BME","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CVN5JODJ6BMEMZO4","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CVN5JODJ","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:b85351c97996671cd6d365526aaee3533245b5c734b5fcd10460e1651a4ee140","target":"graph","created_at":"2026-05-18T01:02:30Z","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":"Current studies of WN Toda field theory focus on correlation functions such that the WN highest-weight representations in the fusion channels are multiplicity-free. In this work, we study W3 Toda 4-point functions with multiplicity in the fusion channel. The conformal blocks of these 4-point functions involve matrix elements of a fully-degenerate primary field with a highest-weight in the adjoint representation of sl3, and a semi-degenerate primary field with a highest-weight in the fundamental representation of sl3. We show that, when the fusion rules are obeyed, the matrix elements of the fu","authors_text":"Benoit Estienne, Omar Foda, Raoul Santachiara, Vladimir Belavin","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-11T20:29:53Z","title":"Correlation functions with fusion-channel multiplicity in W3 Toda field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.03870","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":"sha256:8801f815a5996d0519d140ccdc0ed73fc551b21e09cf61ef10f400c3fb469eb0","target":"record","created_at":"2026-05-18T01:02:30Z","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":"a615db7d950d95ce101b4407144a4d7b1c2610ff55e38c299886a78209bcbf5a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-02-11T20:29:53Z","title_canon_sha256":"622e3510d3439aae286ac8021d00494c2d36596bfe375abfd86e839738d9ebf1"},"schema_version":"1.0","source":{"id":"1602.03870","kind":"arxiv","version":2}},"canonical_sha256":"155bd4b869f0584665dcc6079b43ff437da5eb7ebb01d85dfbf7565741a28e82","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"155bd4b869f0584665dcc6079b43ff437da5eb7ebb01d85dfbf7565741a28e82","first_computed_at":"2026-05-18T01:02:30.852856Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:02:30.852856Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+UBqANHeZpVpE7tnunYEWfNJ7Qdpm04GUXjNNu2nMMpv0+yDShUlybdPEKHvBqGj+MqteKHFbf8sXQI+R6z/DA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:02:30.853429Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.03870","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8801f815a5996d0519d140ccdc0ed73fc551b21e09cf61ef10f400c3fb469eb0","sha256:b85351c97996671cd6d365526aaee3533245b5c734b5fcd10460e1651a4ee140"],"state_sha256":"ca2432b2880b3cb6cc632cfb432b07d20d3bc8ae613a54a5c5ded5ea7a39059f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lnq6I/kilV3U02rkl0eJsplFCbF3/0DeS+mAzcmCiDe6dILJBSN5f+wB7WbZ9HnFufvOAE4K2M42cFOPDAtQAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T22:23:56.993962Z","bundle_sha256":"1fd82c7a50819a9ef14de8c5d84565db6083d02cf9da73890bf3d098271b6f50"}}