{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:ND2ZAODTRYFYL54QWGRXALOKIS","short_pith_number":"pith:ND2ZAODT","schema_version":"1.0","canonical_sha256":"68f59038738e0b85f790b1a3702dca44accca19c08902e9541d6fa369f73426b","source":{"kind":"arxiv","id":"2005.07258","version":1},"attestation_state":"computed","paper":{"title":"Geometrical four-point functions in the two-dimensional critical $Q$-state Potts model: The interchiral conformal bootstrap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Hubert Saleur, Jesper Lykke Jacobsen, Yifei He","submitted_at":"2020-05-14T21:05:21Z","abstract_excerpt":"Based on the spectrum identified in our earlier work [arXiv:1809.02191], we numerically solve the bootstrap to determine four-point correlation functions of the geometrical connectivities in the $Q$-state Potts model. Crucial in our approach is the existence of \"interchiral conformal blocks\", which arise from the degeneracy of fields with conformal weight $h_{r,1}$, with $r\\in\\mathbb{N}^*$, and are related to the underlying presence of the \"interchiral algebra\" introduced in [arXiv:1207.6334]. We also find evidence for the existence of \"renormalized\" recursions, replacing those that follow fro"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2005.07258","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-05-14T21:05:21Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"f3bf2a33a953b815cb5dbd7ef4ab89c0a7551c4dc61304212afccc7e419ac7cd","abstract_canon_sha256":"5e7887af4dd388f75f419d4ffe75df738225bea7d19d679a082906e6dd327406"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:02:35.330490Z","signature_b64":"q7Y2qRYNfbgDK2mhms9vhdLjB0DPizfpMjHoY1wZbs1NlTlueH7IypxF9jJud9GXNNrWCWnaPmpq53QYLbFZAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"68f59038738e0b85f790b1a3702dca44accca19c08902e9541d6fa369f73426b","last_reissued_at":"2026-07-05T02:02:35.330036Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:02:35.330036Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Geometrical four-point functions in the two-dimensional critical $Q$-state Potts model: The interchiral conformal bootstrap","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Hubert Saleur, Jesper Lykke Jacobsen, Yifei He","submitted_at":"2020-05-14T21:05:21Z","abstract_excerpt":"Based on the spectrum identified in our earlier work [arXiv:1809.02191], we numerically solve the bootstrap to determine four-point correlation functions of the geometrical connectivities in the $Q$-state Potts model. Crucial in our approach is the existence of \"interchiral conformal blocks\", which arise from the degeneracy of fields with conformal weight $h_{r,1}$, with $r\\in\\mathbb{N}^*$, and are related to the underlying presence of the \"interchiral algebra\" introduced in [arXiv:1207.6334]. We also find evidence for the existence of \"renormalized\" recursions, replacing those that follow fro"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.07258","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/2005.07258/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2005.07258","created_at":"2026-07-05T02:02:35.330090+00:00"},{"alias_kind":"arxiv_version","alias_value":"2005.07258v1","created_at":"2026-07-05T02:02:35.330090+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.07258","created_at":"2026-07-05T02:02:35.330090+00:00"},{"alias_kind":"pith_short_12","alias_value":"ND2ZAODTRYFY","created_at":"2026-07-05T02:02:35.330090+00:00"},{"alias_kind":"pith_short_16","alias_value":"ND2ZAODTRYFYL54Q","created_at":"2026-07-05T02:02:35.330090+00:00"},{"alias_kind":"pith_short_8","alias_value":"ND2ZAODT","created_at":"2026-07-05T02:02:35.330090+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.18125","citing_title":"Making complex CFTs real: The two-dimensional Potts model for $Q>4$ and complex $Q$","ref_index":59,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ND2ZAODTRYFYL54QWGRXALOKIS","json":"https://pith.science/pith/ND2ZAODTRYFYL54QWGRXALOKIS.json","graph_json":"https://pith.science/api/pith-number/ND2ZAODTRYFYL54QWGRXALOKIS/graph.json","events_json":"https://pith.science/api/pith-number/ND2ZAODTRYFYL54QWGRXALOKIS/events.json","paper":"https://pith.science/paper/ND2ZAODT"},"agent_actions":{"view_html":"https://pith.science/pith/ND2ZAODTRYFYL54QWGRXALOKIS","download_json":"https://pith.science/pith/ND2ZAODTRYFYL54QWGRXALOKIS.json","view_paper":"https://pith.science/paper/ND2ZAODT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2005.07258&json=true","fetch_graph":"https://pith.science/api/pith-number/ND2ZAODTRYFYL54QWGRXALOKIS/graph.json","fetch_events":"https://pith.science/api/pith-number/ND2ZAODTRYFYL54QWGRXALOKIS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ND2ZAODTRYFYL54QWGRXALOKIS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ND2ZAODTRYFYL54QWGRXALOKIS/action/storage_attestation","attest_author":"https://pith.science/pith/ND2ZAODTRYFYL54QWGRXALOKIS/action/author_attestation","sign_citation":"https://pith.science/pith/ND2ZAODTRYFYL54QWGRXALOKIS/action/citation_signature","submit_replication":"https://pith.science/pith/ND2ZAODTRYFYL54QWGRXALOKIS/action/replication_record"}},"created_at":"2026-07-05T02:02:35.330090+00:00","updated_at":"2026-07-05T02:02:35.330090+00:00"}