{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:WZRA5HNWEXXRQQDMNRB6KLJHLH","short_pith_number":"pith:WZRA5HNW","canonical_record":{"source":{"id":"1110.4547","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2011-10-20T15:07:24Z","cross_cats_sorted":["hep-th","math-ph","math.AG","math.MP"],"title_canon_sha256":"8b031df65625c4b17ac2ce416316c8f98cd2065fb038ccf113d2b9379e818ff9","abstract_canon_sha256":"13b440eca12e6c411b73d947ba8acdac8fd6010c076fdc750c1e1c178c53a669"},"schema_version":"1.0"},"canonical_sha256":"b6620e9db625ef18406c6c43e52d2759ff38c8af5404d2ac4e58dfecec697908","source":{"kind":"arxiv","id":"1110.4547","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4547","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4547v3","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4547","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"pith_short_12","alias_value":"WZRA5HNWEXXR","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WZRA5HNWEXXRQQDM","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WZRA5HNW","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:WZRA5HNWEXXRQQDMNRB6KLJHLH","target":"record","payload":{"canonical_record":{"source":{"id":"1110.4547","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2011-10-20T15:07:24Z","cross_cats_sorted":["hep-th","math-ph","math.AG","math.MP"],"title_canon_sha256":"8b031df65625c4b17ac2ce416316c8f98cd2065fb038ccf113d2b9379e818ff9","abstract_canon_sha256":"13b440eca12e6c411b73d947ba8acdac8fd6010c076fdc750c1e1c178c53a669"},"schema_version":"1.0"},"canonical_sha256":"b6620e9db625ef18406c6c43e52d2759ff38c8af5404d2ac4e58dfecec697908","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:21:54.218188Z","signature_b64":"zDEFne+Shl5E9HsodQINcjoggytUvl+4TMoKdzfhAfwF7E996Cwjq0fZ/QTVbZo65urA9ZEwmLFjBaUln/W/Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6620e9db625ef18406c6c43e52d2759ff38c8af5404d2ac4e58dfecec697908","last_reissued_at":"2026-05-18T03:21:54.217677Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:21:54.217677Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.4547","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:21:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r63gzqX8gK/oZgd4YH6RY04VnvFJUP6H01YFPC1XoaxR+MjqWLxE0nEglSLcqE2aRTSvCJgPe4r9+Lf6eue6Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:13:14.180647Z"},"content_sha256":"341f03a179d6b8ec685348bcb12ec0ac0d2c2a92f6fdc9ab64f2b5435854df5d","schema_version":"1.0","event_id":"sha256:341f03a179d6b8ec685348bcb12ec0ac0d2c2a92f6fdc9ab64f2b5435854df5d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:WZRA5HNWEXXRQQDMNRB6KLJHLH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Braided Subfactors, Spectral Measures, Planar algebras and Calabi-Yau algebras associated to SU(3) modular invariants","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.AG","math.MP"],"primary_cat":"math.OA","authors_text":"David E. Evans, Mathew Pugh","submitted_at":"2011-10-20T15:07:24Z","abstract_excerpt":"Braided subfactors of von Neumann algebras provide a framework for studying two dimensional conformal field theories and their modular invariants. We review this in the context of SU(3) conformal field theories through corresponding SU(3) braided subfactors and various subfactor invariants including spectral measures for the nimrep graphs, A_2-planar algebras and almost Calabi-Yau algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4547","kind":"arxiv","version":3},"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":"2026-05-18T03:21:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x6kLWLNF4yq1GRTl/vkhgYaLp8+OhfnrVLkCGZDCi2K4NIdCsXmdFj0NQST0LQQh2yAj1zKLokvypKgyqb43BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T09:13:14.181032Z"},"content_sha256":"34c0f474b25bbf48cb6662961b65721b58f384fd5fc8e031627fef7967ed8b11","schema_version":"1.0","event_id":"sha256:34c0f474b25bbf48cb6662961b65721b58f384fd5fc8e031627fef7967ed8b11"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WZRA5HNWEXXRQQDMNRB6KLJHLH/bundle.json","state_url":"https://pith.science/pith/WZRA5HNWEXXRQQDMNRB6KLJHLH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WZRA5HNWEXXRQQDMNRB6KLJHLH/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":"2026-06-09T09:13:14Z","links":{"resolver":"https://pith.science/pith/WZRA5HNWEXXRQQDMNRB6KLJHLH","bundle":"https://pith.science/pith/WZRA5HNWEXXRQQDMNRB6KLJHLH/bundle.json","state":"https://pith.science/pith/WZRA5HNWEXXRQQDMNRB6KLJHLH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WZRA5HNWEXXRQQDMNRB6KLJHLH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:WZRA5HNWEXXRQQDMNRB6KLJHLH","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":"13b440eca12e6c411b73d947ba8acdac8fd6010c076fdc750c1e1c178c53a669","cross_cats_sorted":["hep-th","math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2011-10-20T15:07:24Z","title_canon_sha256":"8b031df65625c4b17ac2ce416316c8f98cd2065fb038ccf113d2b9379e818ff9"},"schema_version":"1.0","source":{"id":"1110.4547","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.4547","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"arxiv_version","alias_value":"1110.4547v3","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.4547","created_at":"2026-05-18T03:21:54Z"},{"alias_kind":"pith_short_12","alias_value":"WZRA5HNWEXXR","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WZRA5HNWEXXRQQDM","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WZRA5HNW","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:34c0f474b25bbf48cb6662961b65721b58f384fd5fc8e031627fef7967ed8b11","target":"graph","created_at":"2026-05-18T03:21:54Z","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":"Braided subfactors of von Neumann algebras provide a framework for studying two dimensional conformal field theories and their modular invariants. We review this in the context of SU(3) conformal field theories through corresponding SU(3) braided subfactors and various subfactor invariants including spectral measures for the nimrep graphs, A_2-planar algebras and almost Calabi-Yau algebras.","authors_text":"David E. Evans, Mathew Pugh","cross_cats":["hep-th","math-ph","math.AG","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2011-10-20T15:07:24Z","title":"Braided Subfactors, Spectral Measures, Planar algebras and Calabi-Yau algebras associated to SU(3) modular invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.4547","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":"sha256:341f03a179d6b8ec685348bcb12ec0ac0d2c2a92f6fdc9ab64f2b5435854df5d","target":"record","created_at":"2026-05-18T03:21:54Z","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":"13b440eca12e6c411b73d947ba8acdac8fd6010c076fdc750c1e1c178c53a669","cross_cats_sorted":["hep-th","math-ph","math.AG","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2011-10-20T15:07:24Z","title_canon_sha256":"8b031df65625c4b17ac2ce416316c8f98cd2065fb038ccf113d2b9379e818ff9"},"schema_version":"1.0","source":{"id":"1110.4547","kind":"arxiv","version":3}},"canonical_sha256":"b6620e9db625ef18406c6c43e52d2759ff38c8af5404d2ac4e58dfecec697908","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6620e9db625ef18406c6c43e52d2759ff38c8af5404d2ac4e58dfecec697908","first_computed_at":"2026-05-18T03:21:54.217677Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:21:54.217677Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zDEFne+Shl5E9HsodQINcjoggytUvl+4TMoKdzfhAfwF7E996Cwjq0fZ/QTVbZo65urA9ZEwmLFjBaUln/W/Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:21:54.218188Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.4547","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:341f03a179d6b8ec685348bcb12ec0ac0d2c2a92f6fdc9ab64f2b5435854df5d","sha256:34c0f474b25bbf48cb6662961b65721b58f384fd5fc8e031627fef7967ed8b11"],"state_sha256":"0f46e5e04554fb8fcdd97d4880cf90ddb93d78e9a59b8c1f43d4a241bb30bed4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TYbd82x15h1DHWHQLLMm7sVyeO29TifPsgWdri6vfi0oh1VjJRYZZNtsbB90THKw3KmdUR9SlS9XOvp1qUnsCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T09:13:14.186595Z","bundle_sha256":"de9d54cf3ac9d7c2b945f364e653316ece71154d521bfe898f449e85682cb215"}}