{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:XTA6PFFXK7BMBTXFFCO3QEUVVO","short_pith_number":"pith:XTA6PFFX","canonical_record":{"source":{"id":"2605.31374","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-29T14:44:51Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"4830bd8e57609b356dd5925604c00f2a93ae77ab74f99125e0ca6504d317dbf2","abstract_canon_sha256":"172e3c38efdc71b6d9b51dc0a8aca032a177c4676062d98ea91cb8254bb36626"},"schema_version":"1.0"},"canonical_sha256":"bcc1e794b757c2c0cee5289db81295ab8bf6f4698e049dbf854d8efaf86dd032","source":{"kind":"arxiv","id":"2605.31374","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.31374","created_at":"2026-06-01T02:04:01Z"},{"alias_kind":"arxiv_version","alias_value":"2605.31374v1","created_at":"2026-06-01T02:04:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.31374","created_at":"2026-06-01T02:04:01Z"},{"alias_kind":"pith_short_12","alias_value":"XTA6PFFXK7BM","created_at":"2026-06-01T02:04:01Z"},{"alias_kind":"pith_short_16","alias_value":"XTA6PFFXK7BMBTXF","created_at":"2026-06-01T02:04:01Z"},{"alias_kind":"pith_short_8","alias_value":"XTA6PFFX","created_at":"2026-06-01T02:04:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:XTA6PFFXK7BMBTXFFCO3QEUVVO","target":"record","payload":{"canonical_record":{"source":{"id":"2605.31374","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-29T14:44:51Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"4830bd8e57609b356dd5925604c00f2a93ae77ab74f99125e0ca6504d317dbf2","abstract_canon_sha256":"172e3c38efdc71b6d9b51dc0a8aca032a177c4676062d98ea91cb8254bb36626"},"schema_version":"1.0"},"canonical_sha256":"bcc1e794b757c2c0cee5289db81295ab8bf6f4698e049dbf854d8efaf86dd032","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-01T02:04:01.643803Z","signature_b64":"0ugEpZ9apKy+KNG9t3Ms6bVI97u/8ctTGwE/0pBg4YBSdWKdMQ9twD8+7S+rGeJYCQcLKSIcmCX4fky2FXA/Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bcc1e794b757c2c0cee5289db81295ab8bf6f4698e049dbf854d8efaf86dd032","last_reissued_at":"2026-06-01T02:04:01.642820Z","signature_status":"signed_v1","first_computed_at":"2026-06-01T02:04:01.642820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.31374","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-01T02:04:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ikc1qP76ZNIBVjKmZuF6oSllXHpS3azfdSLBnRfVU/UUT2MQJv7szks25Mw1GVNgd4X12Axq/x2MB0Z/Wv18Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T01:10:21.414455Z"},"content_sha256":"c150f238086067d47b9465f23710a6fcbae314cae709792eaed271c59f7d0b3f","schema_version":"1.0","event_id":"sha256:c150f238086067d47b9465f23710a6fcbae314cae709792eaed271c59f7d0b3f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:XTA6PFFXK7BMBTXFFCO3QEUVVO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Multi-point functions of a full-plane two-state fuzzy $4$-Potts model","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Hong-Bin Chen, Jiaming Xia","submitted_at":"2026-05-29T14:44:51Z","abstract_excerpt":"We study the full-plane two-state fuzzy $4$-Potts model, obtained by assigning independent balanced $\\{\\pm1\\}$ spins to the open clusters of a critical $q=4$ random-cluster configuration. This model corresponds exactly to the single-spin projection of the isotropic Ashkin-Teller model at its Potts point. We prove that, after proper normalization, all even multi-point spin correlation functions converge to explicit conformally covariant Coulomb-gas type neutral charge sums. As a consequence, we prove convergence in law of the rescaled magnetization field and identify the moments of the limiting"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.31374","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.31374/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-06-01T02:04:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jjvd7i8WsMwBKbBh2hYtJVdTlKv4OTH/2Pg44WZL7NJkhVsDc2Iq7Np81ZI90O/mHJwDmppr+B3GStw129e1Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T01:10:21.415505Z"},"content_sha256":"919b9859d7811e7c84bc23c686575e4380b8f02eb843e1c952469ce9df917f10","schema_version":"1.0","event_id":"sha256:919b9859d7811e7c84bc23c686575e4380b8f02eb843e1c952469ce9df917f10"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XTA6PFFXK7BMBTXFFCO3QEUVVO/bundle.json","state_url":"https://pith.science/pith/XTA6PFFXK7BMBTXFFCO3QEUVVO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XTA6PFFXK7BMBTXFFCO3QEUVVO/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":"2026-08-08T01:10:21Z","links":{"resolver":"https://pith.science/pith/XTA6PFFXK7BMBTXFFCO3QEUVVO","bundle":"https://pith.science/pith/XTA6PFFXK7BMBTXFFCO3QEUVVO/bundle.json","state":"https://pith.science/pith/XTA6PFFXK7BMBTXFFCO3QEUVVO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XTA6PFFXK7BMBTXFFCO3QEUVVO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:XTA6PFFXK7BMBTXFFCO3QEUVVO","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":"172e3c38efdc71b6d9b51dc0a8aca032a177c4676062d98ea91cb8254bb36626","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-29T14:44:51Z","title_canon_sha256":"4830bd8e57609b356dd5925604c00f2a93ae77ab74f99125e0ca6504d317dbf2"},"schema_version":"1.0","source":{"id":"2605.31374","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.31374","created_at":"2026-06-01T02:04:01Z"},{"alias_kind":"arxiv_version","alias_value":"2605.31374v1","created_at":"2026-06-01T02:04:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.31374","created_at":"2026-06-01T02:04:01Z"},{"alias_kind":"pith_short_12","alias_value":"XTA6PFFXK7BM","created_at":"2026-06-01T02:04:01Z"},{"alias_kind":"pith_short_16","alias_value":"XTA6PFFXK7BMBTXF","created_at":"2026-06-01T02:04:01Z"},{"alias_kind":"pith_short_8","alias_value":"XTA6PFFX","created_at":"2026-06-01T02:04:01Z"}],"graph_snapshots":[{"event_id":"sha256:919b9859d7811e7c84bc23c686575e4380b8f02eb843e1c952469ce9df917f10","target":"graph","created_at":"2026-06-01T02:04:01Z","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/2605.31374/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the full-plane two-state fuzzy $4$-Potts model, obtained by assigning independent balanced $\\{\\pm1\\}$ spins to the open clusters of a critical $q=4$ random-cluster configuration. This model corresponds exactly to the single-spin projection of the isotropic Ashkin-Teller model at its Potts point. We prove that, after proper normalization, all even multi-point spin correlation functions converge to explicit conformally covariant Coulomb-gas type neutral charge sums. As a consequence, we prove convergence in law of the rescaled magnetization field and identify the moments of the limiting","authors_text":"Hong-Bin Chen, Jiaming Xia","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-29T14:44:51Z","title":"Multi-point functions of a full-plane two-state fuzzy $4$-Potts model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.31374","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:c150f238086067d47b9465f23710a6fcbae314cae709792eaed271c59f7d0b3f","target":"record","created_at":"2026-06-01T02:04:01Z","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":"172e3c38efdc71b6d9b51dc0a8aca032a177c4676062d98ea91cb8254bb36626","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-29T14:44:51Z","title_canon_sha256":"4830bd8e57609b356dd5925604c00f2a93ae77ab74f99125e0ca6504d317dbf2"},"schema_version":"1.0","source":{"id":"2605.31374","kind":"arxiv","version":1}},"canonical_sha256":"bcc1e794b757c2c0cee5289db81295ab8bf6f4698e049dbf854d8efaf86dd032","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bcc1e794b757c2c0cee5289db81295ab8bf6f4698e049dbf854d8efaf86dd032","first_computed_at":"2026-06-01T02:04:01.642820Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-01T02:04:01.642820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0ugEpZ9apKy+KNG9t3Ms6bVI97u/8ctTGwE/0pBg4YBSdWKdMQ9twD8+7S+rGeJYCQcLKSIcmCX4fky2FXA/Bw==","signature_status":"signed_v1","signed_at":"2026-06-01T02:04:01.643803Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.31374","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c150f238086067d47b9465f23710a6fcbae314cae709792eaed271c59f7d0b3f","sha256:919b9859d7811e7c84bc23c686575e4380b8f02eb843e1c952469ce9df917f10"],"state_sha256":"b875e2471a438516ed3349241f2f61ba6024437084716fff7289e3bd329b072c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"K7E3UltIYE6DLTEgMxsWwj49Q8dcHgUTb0980wdZmdRwu+gnMgjPma0bf6bzqV8jZ/9nRNfc6RZ8g6kvN9j5Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T01:10:21.423885Z","bundle_sha256":"72b0f32dc364c479e33c900d4a30e7e4791864ebaf7b0aa224d1a518a0a581c7"}}