{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:KVKVS2HYGAJI23ZX7RI4FKVZAV","short_pith_number":"pith:KVKVS2HY","canonical_record":{"source":{"id":"0904.3702","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-04-23T14:31:22Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"9858d019c4f29e11cc8ea47470979289b79b81f7dd25798d837e9af5eee92e78","abstract_canon_sha256":"e2cf84db41ea4b704acf853f80a5ea54e46e6f186dfebc20ea3937db1d68813a"},"schema_version":"1.0"},"canonical_sha256":"55555968f830128d6f37fc51c2aab9054bf1cdd2f014e9c9460ebd2ae42ec506","source":{"kind":"arxiv","id":"0904.3702","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.3702","created_at":"2026-05-18T02:13:57Z"},{"alias_kind":"arxiv_version","alias_value":"0904.3702v2","created_at":"2026-05-18T02:13:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.3702","created_at":"2026-05-18T02:13:57Z"},{"alias_kind":"pith_short_12","alias_value":"KVKVS2HYGAJI","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"KVKVS2HYGAJI23ZX","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"KVKVS2HY","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:KVKVS2HYGAJI23ZX7RI4FKVZAV","target":"record","payload":{"canonical_record":{"source":{"id":"0904.3702","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-04-23T14:31:22Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"9858d019c4f29e11cc8ea47470979289b79b81f7dd25798d837e9af5eee92e78","abstract_canon_sha256":"e2cf84db41ea4b704acf853f80a5ea54e46e6f186dfebc20ea3937db1d68813a"},"schema_version":"1.0"},"canonical_sha256":"55555968f830128d6f37fc51c2aab9054bf1cdd2f014e9c9460ebd2ae42ec506","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:57.737392Z","signature_b64":"/DPjmQwZ0N3r/gezd3lv1r7rXLD4eF0mlPYw+WhL9Dwqv0CsVA02kZTnQRGw+j501yx3L1QXv1qmCm0uVSVhCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"55555968f830128d6f37fc51c2aab9054bf1cdd2f014e9c9460ebd2ae42ec506","last_reissued_at":"2026-05-18T02:13:57.736736Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:57.736736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0904.3702","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":"2026-05-18T02:13:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ruIuHLXbZAR8JKrizCm63vkhTkDmpkwWQW7bXr1THxcgmdkT1I0UNgjXTcbs0pctBWbGS+Ab7il6hmcmwOndDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:39:07.190235Z"},"content_sha256":"60d403537383c9630b7edc030fba823f45917f3f9eaa66981729e34cfb73e821","schema_version":"1.0","event_id":"sha256:60d403537383c9630b7edc030fba823f45917f3f9eaa66981729e34cfb73e821"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:KVKVS2HYGAJI23ZX7RI4FKVZAV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Clustering properties, Jack polynomials and unitary conformal field theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.str-el","authors_text":"Benoit Estienne, Nicolas Regnault, Raoul Santachiara","submitted_at":"2009-04-23T14:31:22Z","abstract_excerpt":"Recently, Jack polynomials have been proposed as natural generalizations of Z_k Read-Rezayi states describing non-Abelian fractional quantum Hall systems. These polynomials are conjectured to be related to correlation functions of a class of W-conformal field theories based on the Lie algebra A_{k-1}. These theories can be considered as non-unitary solutions of a more general series of CFTs with Z_k symmetry, the parafermionic theories. Starting from the observation that some parafermionic theories admit unitary solutions as well, we show, by computing the corresponding correlation functions, "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.3702","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":"2026-05-18T02:13:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kgtSIKyPm5noIc4HvSq5F6SXJH8l8nGGwO9iOw9F+x3JaoajMLiW224nh9SMfqxy7aDIyIUSW9hO6hPwywNkCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T14:39:07.190599Z"},"content_sha256":"f1e2fd0d34240381668ec5da2333ff11c082df259ef91ea4cf72d7abe8fe6215","schema_version":"1.0","event_id":"sha256:f1e2fd0d34240381668ec5da2333ff11c082df259ef91ea4cf72d7abe8fe6215"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KVKVS2HYGAJI23ZX7RI4FKVZAV/bundle.json","state_url":"https://pith.science/pith/KVKVS2HYGAJI23ZX7RI4FKVZAV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KVKVS2HYGAJI23ZX7RI4FKVZAV/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":"2026-06-05T14:39:07Z","links":{"resolver":"https://pith.science/pith/KVKVS2HYGAJI23ZX7RI4FKVZAV","bundle":"https://pith.science/pith/KVKVS2HYGAJI23ZX7RI4FKVZAV/bundle.json","state":"https://pith.science/pith/KVKVS2HYGAJI23ZX7RI4FKVZAV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KVKVS2HYGAJI23ZX7RI4FKVZAV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:KVKVS2HYGAJI23ZX7RI4FKVZAV","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":"e2cf84db41ea4b704acf853f80a5ea54e46e6f186dfebc20ea3937db1d68813a","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-04-23T14:31:22Z","title_canon_sha256":"9858d019c4f29e11cc8ea47470979289b79b81f7dd25798d837e9af5eee92e78"},"schema_version":"1.0","source":{"id":"0904.3702","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.3702","created_at":"2026-05-18T02:13:57Z"},{"alias_kind":"arxiv_version","alias_value":"0904.3702v2","created_at":"2026-05-18T02:13:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.3702","created_at":"2026-05-18T02:13:57Z"},{"alias_kind":"pith_short_12","alias_value":"KVKVS2HYGAJI","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"KVKVS2HYGAJI23ZX","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"KVKVS2HY","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:f1e2fd0d34240381668ec5da2333ff11c082df259ef91ea4cf72d7abe8fe6215","target":"graph","created_at":"2026-05-18T02:13:57Z","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":"Recently, Jack polynomials have been proposed as natural generalizations of Z_k Read-Rezayi states describing non-Abelian fractional quantum Hall systems. These polynomials are conjectured to be related to correlation functions of a class of W-conformal field theories based on the Lie algebra A_{k-1}. These theories can be considered as non-unitary solutions of a more general series of CFTs with Z_k symmetry, the parafermionic theories. Starting from the observation that some parafermionic theories admit unitary solutions as well, we show, by computing the corresponding correlation functions, ","authors_text":"Benoit Estienne, Nicolas Regnault, Raoul Santachiara","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-04-23T14:31:22Z","title":"Clustering properties, Jack polynomials and unitary conformal field theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.3702","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":"sha256:60d403537383c9630b7edc030fba823f45917f3f9eaa66981729e34cfb73e821","target":"record","created_at":"2026-05-18T02:13:57Z","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":"e2cf84db41ea4b704acf853f80a5ea54e46e6f186dfebc20ea3937db1d68813a","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.str-el","submitted_at":"2009-04-23T14:31:22Z","title_canon_sha256":"9858d019c4f29e11cc8ea47470979289b79b81f7dd25798d837e9af5eee92e78"},"schema_version":"1.0","source":{"id":"0904.3702","kind":"arxiv","version":2}},"canonical_sha256":"55555968f830128d6f37fc51c2aab9054bf1cdd2f014e9c9460ebd2ae42ec506","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"55555968f830128d6f37fc51c2aab9054bf1cdd2f014e9c9460ebd2ae42ec506","first_computed_at":"2026-05-18T02:13:57.736736Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:57.736736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/DPjmQwZ0N3r/gezd3lv1r7rXLD4eF0mlPYw+WhL9Dwqv0CsVA02kZTnQRGw+j501yx3L1QXv1qmCm0uVSVhCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:57.737392Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.3702","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:60d403537383c9630b7edc030fba823f45917f3f9eaa66981729e34cfb73e821","sha256:f1e2fd0d34240381668ec5da2333ff11c082df259ef91ea4cf72d7abe8fe6215"],"state_sha256":"c323ef5fe951e148068c800bd5a90c32bb16d118a2606c1ddf4c211b2087d78b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GXfMzHXL7MsB17IcpsAsMNyhCcuMzsnpaCI98b72OwPZDiZvH3kZe41IOvBRjkRYg++ko97MLxyzNbgiYt9LDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T14:39:07.192568Z","bundle_sha256":"dc6e76e29695b500919bf7a5cf51ba7d0a77048c3bb6b183a14dabcb02833f04"}}